Workflow Entry Contracts

Workflow Entry Contracts

A workflow is the purpose-and-output contract for one contiguous phase of agent work. It is independent of the operating focus: a focus identifies the phase’s primary quality emphasis, not the only principle that applies. W6 may run under a Correctness focus while an exact certificate is checked, then enter another W6 phase under Insight when the same registered question needs a creative construction. The focus changed; the workflow did not.

Workflow selection should reduce context, not create paperwork. Routine single-purpose work records four facts where the work is already tracked: the workflow, bounded objective or question, intended artifact, and focused check. No session-NNN artifact is required.

Use the fuller session contract only when the work crosses multiple workflow or material-focus phases, continues autonomously beyond an ordinary checkpoint, coordinates independently tracked delegates, supervises an expensive experiment or proof search, or needs durable recovery and handoff state. Each phase in that escalated record begins with its workflow and primary focus; objective and required inputs; expected durable output and validation command; stopping condition and fallback; and start and deadline. Actual outcome and evidence are terminal fields recorded when the phase closes, not placeholders invented when it opens. The generated ledger summarizes those versioned sessions; it is not a census of every routine task.

ID Workflow Enter with Work boundary Durable exit Default handoff
W1 research-survey A bounded question, source corpus, and identified coverage gap; or a result reported by others Survey and source the state of knowledge, and record a reported result as reported; do not run a new experiment or turn untested connections into campaign verdicts A pinned source packet, stable claim IDs, proof obligations, source notes, explicit conflicts, and unresolved gaps; for a reported result, its register entry at the rungs its evidence derives W2 audits the claims; W3 may mine supported gaps
W2 factual-review A fixed artifact set, its sources, and the claims to audit Correctness only; it never changes what the source claims, and writes only the confirmation it produces (replay evidence, the review, the rungs and score they support, and the register entry’s account of them) and an authorized, obvious bounded correction whose evidence and scope are unchanged; do not invent successor theory or redesign the process inside the review Claim-by-claim dispositions, focused confirmation receipts, unresolved coverage, measured cost, authorized corrections, or defects with exact evidence; for an imported result, its derived rungs and the verified lane W5 for measured confirmation bottlenecks; required before promoted, novel, disputed, or high-risk claims; otherwise W3 for new hypotheses or W4 for a process failure
W3 insight-iteration Current synopsis, idea board, ledger, negative results, and a sharp frontier Generate explanations and hypotheses freely; do not certify them or spend an undeclared experiment budget X-NNN reports and candidate H-NNN items with mechanism, falsifier, expected information, and limits Codification, then W6
W4 process-review Artifacts, beads, logs, checks, and a reconstructability or discipline question Inspect ownership, handoffs, refusals, and controls; do not substitute process polish for a scientific result Review findings, beads, and narrowly scoped contract or checker changes W5 for a measured bottleneck or the next workflow that owns the result
W5 efficiency-loop A measured baseline, profile, target metric, and equivalence or validity guard Improve time, cost, or throughput under the same regime; never relax correctness or provenance to win Benchmark record, change or rejection, measured delta, and preserved guards Return to the originating workflow (W2, W6 or W7) with the measured improvement or rejection; W4 if the process contract is wrong
W6 research-loop A registered hypothesis, fixed criterion, regime, budget, stop rule, and instrument contract Build or repair the bounded instrument, freeze it before measurement, then use creative effort inside the registered scope to execute the smallest fair test; never change the criterion, suppress a failure, or improvise a replacement hypothesis mid-round Frozen instrument, exp-NNN, raw data or proof record, verdict, regenerated views, and the next bounded question W2 before promoted or high-risk claims; otherwise W3 or another W6 slice
W7 pipeline-improvement Named packing-research consumers, the smallest reusable capability or cleanup they need, controls or an independent oracle, a budget, and expected comparability impact Add, strengthen, simplify, or repair only the bounded packing pipeline surface; do not collect a target verdict while it is mutable, optimize an unchanged implementation without a W5 baseline, or generalize beyond named consumers Code, entry point or refactor; replayable positive and negative controls; exact validation command; cost and complexity receipt; evidence limits; and a readiness or retained-blocker decision W2 before a new or materially changed trust boundary reaches W6; W5 if measured throughput remains the blocker; otherwise W6
W8 documentation-pass A period of research that closed several commitments, the artifacts it left, and the reader-facing documents that have not caught up; or a confirmed result that warrants a review paper Reconcile the root tier — README, tutorial, synopsis, and the conventions they cite — against the artifacts and against each other, or explain a registered result in a paper; correct, cut, reorder and clarify, but never introduce a claim the record does not already carry, and never soften a claim boundary to make a document read better A checklist run over each root document, every drift either fixed or filed as a defect, generated views regenerated, and an explicit statement of what was checked and what was left; or a review paper with its exposition review W2 for any claim the pass could not verify against an artifact; otherwise the next owning workflow
W9 remediation A confirmed defect or issue inventory, risk ordering, owning beads, and a bounded repair wave Triage and repair defects systematically without changing scientific criteria or hiding unresolved evidence; group only compatible work and preserve each item’s independent disposition Fixed items with regressions, contained items with evidence, rerouted evidence work, explicit blockers, regenerated defect views, and validation receipts W10 reviews the wave and selects what follows
W10 review-planning-oversight A launch or checkpoint scope, source ideas and H-items, stable evidence, agenda and beads; all writers terminal for full closeout Assess mathematical directions, codify questions, and select bounded parallel work; at terminal closeout also reconcile every outcome and document impact. Do not execute the selected successors here. H-linked agenda commitments, priorities, prerequisites, owners and one coordinating next entry; a linked tbd plan may retain rationale. Terminal work additionally records outcomes, dispositions and documentation decisions. The selected coordinating entry dispatches the owning workflows, including independent BCs in parallel

Result Import and Efficient Confirmation

A result published by others enters the record through the result import process, a standard sequence of phases and not a workflow of its own, from whichever source delivers it: an issue or a comment, an owner’s message, the Kingbird catalogue or another catalogue, or a watched repository. An intake pass, run when the owner asks, sweeps every source at once, and whatever the record defers names the open bead that owns it. That runbook owns the stages and their exits; this section says what W1 and W2 each contribute.

W1 turns an incoming result into a reviewable source packet: maintained repository and license, immutable source identity, precise claim and assumptions, certificate format, and any supplied verifier. Check the current register before assigning claim IDs; record explicit mappings when provisional IDs collide. Separate source assertions from results already independently confirmed. Every imported result within the register’s scope receives a claim ID, explicit verification (V), confirmation (C), significance (S) and novelty assignments under Epistemics. Record the significance rationale, assessment date and scorer, and explain the evidence and limitations supporting the verification and confirmation levels. These assignments are required at import, including when the result remains V0/C0; useful tooling or a promising claim does not earn a higher verification level. Keep each assignment attached to its precise claim, not to an entire repository or provider. Its W2 handoff names the proof obligations, existing evidence, missing checks, and the smallest useful next confirmation.

W2 owns correctness and efficient confirmation. For each obligation, declare the exact acceptance condition and domain, then use the smallest relevant check: premise audit, exact control, bounded diagnostic, or complete replay. Keep independent mathematical review and disjoint tool work in parallel. Reuse evidence only when its input, source, assumptions and checked scope still apply. Report what passed, what failed or remains unresolved, which implementation was independent, and the precise conclusion supported. A sampled replay, diagnostic frontier, or green software test is not complete coverage.

General slow repository testing is batched at integration or release checkpoints; it is not part of every W2 iteration. During confirmation, run checks for the proof, changed verifier, and affected contracts. Record broader integration debt separately without relabeling a proof-specific result as repository certification. Required hosted checks remain in force, but unrelated checks do not block the next independent review.

At each W2 checkpoint, inspect the cost of obtaining the next useful result. Separate observed analysis and coordination intervals from validation setup, exact computation, serialization and worker idle time. Record elapsed time and CPU or runner cost with source, workload and timing boundaries; overlapping agent intervals cannot be added to explain wall time. Missing timings remain unknown. Retained receipts come before new benchmarks, and profiling overhead is distinguished from ordinary execution cost.

Delegate a bounded W5 efficiency slice when a declared wall ceiling is missed, repeated setup or reruns dominate, workers sit idle with queued work, or the cost of a complete check is unknown and prevents choosing the next slice. Keep the regular W5 cadence in OR-12; these triggers need not wait for that cadence. W2 retains ownership of the claim and can continue independent obligations while W5 measures the bottleneck. The handoff names a bead, frozen workload, baseline or missing measurement, cost target, exact correctness guards, wall ceiling, and the owning consumer to return to. W7 can delegate this measurement while retaining ownership of pipeline readiness.

W5 chooses among less orchestration, stronger bounds, compiled exact kernels, caching, and bounded parallelism from measurements. Preserve the exact reference, refusals, provenance and complete-domain acceptance. Benchmark comparable workloads with repeat samples and spread before claiming a speedup; report negative results too. Return a reviewed change or rejection and a reproducible measurement to the owning workflow. Tool improvements and mathematical confirmation have separate dispositions; neither silently closes the other’s bead.

The current W5 validation efficiency and checkpoints plan reviews ordinary PR feedback, full final checkpoints, detailed timing records, and coverage-preserving cost reductions. The development guide owns the current commands, names, and budget semantics; historical benchmark records remain linked from the plan.

Implementation is an action inside the workflow that owns its promised result, not an undefined handoff: W1 and W2 can make bounded research corrections, W3 can implement a bounded exploratory derivation or visualization without spending an undeclared experiment budget, W4 can make a narrow accepted process correction, W5 can implement a measured optimization, and W6 can build a one-round instrument that freezes before measurement. W7 owns reusable packing-pipeline capabilities, targeted refactors, robustness, visualization infrastructure, and cleanup for named consumers. W8 owns the reader-facing tier when research has moved past it, and it is a reconciliation workflow rather than an authoring one — its edits answer to the record, not to taste. Two boundaries make that real. It may not introduce a claim the artifacts do not already carry: a document that wants to say something new is asking for W1 or W6, not for a documentation pass. And it may not resolve a disagreement by choosing the more readable side — where a document and an artifact conflict and the artifact is not obviously right, the output is a defect, because a documentation pass that quietly picks a winner is how a wrong claim becomes the tidy one. Schedule it after a run that closed several commitments rather than continuously; the documents are meant to trail the record slightly, and a pass with nothing to reconcile is a pass that should not have been opened. Registering a result does not open one: the change that moves the record runs New Result Publication itself. W8 also owns a review paper that explains a confirmed result; the paper states nothing the register does not hold, and its exposition gets a W2 review.

W9 owns bounded repair waves over confirmed defects and issues. It does not turn a large backlog into one undifferentiated implementation phase: risk is ordered first, compatible defects are batched only when they share a trust surface, and every selected item exits fixed, contained, rerouted, blocked, or obsolete. W10 owns mathematical portfolio planning at launch and checkpoints, and full closeout after an agenda or remediation wave. Its planning process distills source assessments into H-items, agenda commitments, and beads. At terminal closeout, the documentation review is a mandatory impact check over the root documents; W8 owns substantive reconciliation when that check finds real drift. W10 selects one coordinating entry, which can dispatch independent commitments in parallel after the planning block closes.

general-improvement remains only for repository maintenance outside the packing pipeline whose output fits none of W1–W10. It must not hide core work or a session alternating among research, review, and infrastructure; those are separate phases.

Switching Workflows in One Session

One phase is active at a time per versioned agent session. Start a new phase when its purpose, primary focus, or bounded slice objective changes. A focus-only change repeats the workflow name and is a phase boundary, not a workflow switch. A momentary shift in emphasis is not a phase. A renewed slice may repeat both workflow and focus, but it must close the prior slice, change the objective, and state the new fact that justifies another clock. An orchestrator may switch or renew at a planned checkpoint, after a concrete evidence checkpoint, on a user request, or because the active premise was falsified. It closes the old phase first with status, evidence, stop reason, and next action; then it declares the new workflow, primary focus, objective, expected output, validation, kill condition, fallback, start, and deadline. It does not relabel mixed work after the fact.

Sessions 001–008 predate this workflow vocabulary. Their v2 phase rows are explicit retrospective reconstructions from the durable session record, not evidence that those workflows, focuses, clocks, or transitions were declared contemporaneously. Current and future phases are declared before work begins.

The normal research cadence is not a mandate to traverse every workflow:

W1 research-survey ──> W2 factual-review ──> W3 insight-iteration
                                               │
                         missing reusable tool v
W4 process-review ──> W7 pipeline-improvement ──> W2 ──> W6 research-loop
        │                    │                              │
        └─ accepted repair ──┘        W5 efficiency-loop ──┘
                         promoted/high-risk result ──> W2 ──> W3

launch/checkpoint ────> W10 review/planning/oversight ──> coordinated parallel work
W1–W9 terminal work ──> W10 terminal closeout ──────────> selected coordinator
confirmed defect wave ──> W9 remediation ────────────────┘

result by others ──> W1 import ──> W2 validate ──> publish ──> answer the author

At any checkpoint, the human operator may choose the next phase, narrow the question, or stop. Long autonomous sessions use the same rule; autonomy changes the duration and controller, not permission to blur contracts.

Current Handoff

The prepared eight-hour X-052 continuation is owned by BC-455 / think-wnbr under BC-418. Its agenda-046 is paused pending launch. Mathematical distance toward a complete proof is the objective: two Astra authors pursue nonterminal exclusions and capture/terminal mathematics, with independent Astra review. GPT-6.1 Sol implements the selected proof tools; repeated confirmation receives a bounded support allocation. The three-block session plan maps two conditional further eight-hour blocks, each replanned from the preceding block’s evidence and recorded with fresh session clocks. The next entry is W10 launch selection with real session clocks and resource checks. No experiment has started under this agenda.

The 6 October W3 consolidation reconciles the exploration with the results below. BC-418 (think-tmz6) remains the n17 program owner. The immediate certification handoff is recorded below; subsequent mathematical work follows the reviewed W3 memo. It preserves every frozen experimental criterion and the held-control decision; no new target run or mathematical verdict belongs to that consolidation. The ten-hour launch plan selects BC-430 / think-ipel under BC-418, with Astra for mathematical strategy and GPT-6.1 Sol for engineering, review and tracking. Session 184 stopped at16:59:25Z on7October after research ended16:08:33Z. Current-source certification remains pending; the planned deadline was17:08:33Z. Its official partial cost receipt ends16:57:26Z with three live sessions, so later publication is outside that cutoff. The final checkpoint summary preserves failed predecessor/push runs and scoped reconciliations. CI runs beside the research.

The current census is 28,528 states in 3,636 orbits under 72 admissions, with the endpoint preserved and the distance-2 stratum at 94 orbits (736 states), since exp-317 admitted issue 472’s twelve kernel certificates. exp-259 confirmed the complete partition of the 58-admission census. exp-260 completed56numerical evaluations but remains inconclusive. exp-261 accepted conditional feature forcing; exp-264 accepted the conditional apex after a serialization-only repair, preserving blocked exp-262. exp-263 accepted one closed all-owner angular patch. These results discharge declared local components, not global capture or complete annulus coverage. The proof-interface packet states their premises and the widened-slider gap. The next slice prepares a current-source full17 endpoint control and an actual admitted-tail test while Astra develops a structural contact-chain cone. n11 first-round readiness is a separate known-case control.

Session183 remains the most recent completed session:

Session 183 ran the one state of BC-428’s draw that exp-257 never reached, draw 31, under BC-429 and exp-258, with exp-257’s recipe unchanged from the clean run worktree at cebb5d15a. It stopped with its resource rollups withheld (think-h8oz); the hosted fast run of its close commit certifies it.

  • Certified residue. Draw 31 closed in 577 s of wall and passed the standing kernel verifier in full in 266 s; s183-bc429-u31 is admitted, and the census is 36,784 states in 4,685 orbits under 58 admitted entries, the endpoint surviving.
  • Accepted. exp-258, on its criterion (exp-258). Every one of BC-428’s 31 draws now has a verdict, and 26 of its 29 counted draws closed. H-275 remains an open question.

The session before it:

Session 182 ran BC-418’s n17 overnight lanes from the clean run worktree at cebb5d15a, admitting each closure on the standing kernel verifier’s full pass. It stopped at its deadline, its resource rollups withheld because they carry model identifiers (think-h8oz); a hosted fast gate at b68744cba (PR 379) later certified its handover.

  • Certified residue. 126,168 states in 15,953 orbits fell to 36,792 states in 4,686 orbits under 57 admitted entries, the endpoint surviving, counting u29, admitted after exp-257’s verdict.
  • Accepted. H-267 is confirmed: the entries of arity at most seven leave 8,191 orbits (exp-251). H-264 and H-274 are accepted (exp-252, exp-253). Each of the three was confirmed with corrections by its W2 review. H-275 is accepted on a round stopped by its clock, and its W2 review confirmed it with corrections: 24 of 27 counted draws closed, 25 of 28 counting u29 (exp-257).
  • Unresolved. H-273: all 95 distance-2 orbits were searched and none placed (exp-255). exp-254 is unresolved for H-267; its eight arity-8 closures count in the census.
  • Held for the owner. Lane K’s target 2 and BC-426’s two re-runs, closed and verified in full but held on BC-423’s control receipt; the branch-and-bound queue, stopped as miscalibrated; #360’s merge.

Before it, Session 167 merged PR 283 onto current main and ran BC-406’s lanes, plus the follow-ups their results selected. Every verdict rests on an independent review and a clean committed-tree run.

  • Accepted. H-258, the common-core stress, is accepted (exp-242). H-265 identifies the certified side with the catalogue’s irreducible degree-18 polynomial (exp-245).
  • Rejected. H-262: R068’s charge at the cap excludes nothing, and one symmetric linear per-cell floor vector leaves at least 30,966 orbits whatever the charge (exp-243).
  • Unresolved, each with a stated closing item. The local minimum modulo sliders is certified at radius 1/5000 over a declared slider box, worst ratio 0.926, but the claim names the whole physical slider domain, and H-268 owes the bound (exp-244). A 24-cell capacity-one cover is certified with 43,593 orbits, against 7.7 million on the H259 grid, but the endpoint family realises a second state through an overlapping cell (exp-246).
  • Replanned. n11’s focused radii were of the n17 scale, so capture is priced as logarithmic in the radius (capture review). The global half’s next engine is isolated sub-pattern exclusion on the minimal cover (design review).

No bound, frontier field or open status changed.

Session186 stopped at 05:59:45Z with current-source certification pending. Its conditional regional and case restrictions remain scoped; all 95 ordinary distance-two orbits remain open. Exp313/314 identify 102/114 proper pair constraints, without solving a shared-centre LP or proving ordinary exclusions. C2 FULL replay stopped incomplete on the RSS query guard; no FULL receipt or admission follows. The reviewed first-eight shared-centre pilot and PR410 ordinary-container parity pilot are future work, with separate endpoint and native-adoption controls.

Selected next entry: think-7hy3, the owed full current-source checkpoint certification. Preserve the failed101-step predecessor and61-step push runs, their skips, the separately passing repairs and all source scopes; no full current-source PASS is claimed. The coordinator and n17 program remain open while this debt remains. The reviewed W3 mathematical handoffs stay planned: complete partner-pose coupling against exp288 and measured same-object exact-replay profiling, with endpoint-family retention and no automatic target. Incomplete exp284 geometry remains unusable.

Session 168 ran BC-418’s lanes. Its record is not yet written and will take session-181 (think-wcqs). Hosted certification of Sessions 166 and 167 passed again on this branch at c0941ba4e (Packing validation run 37247106436).

  • Accepted. H-266, on the unique-state 24-cell cover (exp-247): 43,593 orbits, with the family in one state. H-268 (exp-248): square 6’s cell bounds every slide inside a widened box BW′, over which the local theorem passes. The local half is therefore the capture-target theorem of the composition review. H-261 stays unresolved as worded.
  • Admitted. Four exclusions, each by an independent or standing verifier’s full pass. W7 was closed by the kernel and A by an interval branch and bound (exp-249), then flag 3 (SW9, arity 9) and the whole residue state N1 (exp-250). Their verifier at 25c1cdef6 carried the closed-cover defect class found the same day; neither defect was reached on them, and the fixed verifier re-passes both (verifier-rewrites review, §6.2 and §6.5). The certified census is 126,168 states in 15,953 orbits. The selector’s finish-stage recheck placed one of its 90 flags (an arity-8 false flag), so 87 flags stand uncertified. If all of them certify, 2,197 orbits remain.
  • Measured. The residue survey finds no sampled state feasible at the cap; each needs its own failing sub-pattern of arity 8 to 15. Flag 2 (arity 9) stalled at 1,152 adaptive rows, and its 2,304-row check stopped incomplete at its time ceiling. Its diagnosis reads it as a true pattern held by west-wall row losses. Capture pilot 1 met its falsifier, which the after-pilot review found producer-limited. Pilot 2, with rows allotted by need, met that review’s sharper falsifier at round 17: no position contracted. Lane R9’s reading is not yet written.
  • Infrastructure. Standing verifiers gate the census, and the streamed kernel verifier (601bbf110) is admitted. The 92 certificate objects (112,285,110 bytes) are hosted outside Git under OR-18 and listed in packing/hosted/n17-x048-session-168-certificates.yaml. Their release exists and awaits the uploads, which the cloud environment’s egress refused (think-jhgi). Lanes F1 and F2 wrote the two cost-reduction reviews.

No bound or open status changed. The frontier page now records H-265’s identity (think-yjgk).

In flight under think-tmz6:

  • R9 and the capture route (think-g2qn);
  • flag certification (think-j6qy);
  • the census’s flag list after the recheck, and the residue-universe sweep (think-gygy, paused at chunk 61 of 848);
  • the H-264 pilot (think-e17c);
  • the compiled checker (think-ui2y);
  • closing the session (think-wcqs).

This branch’s Session 168 is a working label. Main’s Sessions 168 and 169, below, hold those ids, and the open drafts claim session-170 to session-180, so its record takes session-181.

Session 168: Families, the T-007 Correction and T-087

Session 168 answered the owner’s four questions about the n=1..324 atlas in X-049: the families were never classified by n−k2, light green squares are geometry rather than arithmetic, an exact regularized layer darkens them on the homepage toggle, and the pattern set at large n is open. Its literature lane found Nagamochi 2005’s Lemma 1 false, so T-007 is V0 and 287 case records were re-grounded with dated corrections and defect D-516: 233 open floors fell to Karakuş’s general bound (T-083), s(k2−1)=k rests on Karakuş (T-084), s(k2−2)=k on chelokot’s Lean proof replayed here with an axiom receipt (T-086), and n=37,61 on Bašić and Slivková’s piercing bound (T-087). Floors that correct Nagamochi’s work say so on every surface, as “corrects Nagamochi 2005”. Merged on 3 October 2026 with main’s replayed certificates and covers (T-066 to T-079, and T-062 to T-064 raised to V3/C3), 45 of those floors moved higher, n=37 and 61 among them, so T-087 stays registered and holds neither; the second merge that day, with T-080 and T-081, raised five more at n=101 to 105, and the third, with T-082 and the replays that raised T-073 and T-076 to V3/C3, one more at n=82, so 187 open floors rest on Karakuş and 219 carry the tag. Its open item is the owner’s restoring commit for the withheld model labels (think-wqfw); its result identifiers, first T-066 to T-070, then T-080 to T-084 and then T-082 to T-086, were renumbered T-083 to T-087 when main took T-066 to T-082. The selected next entry above is unchanged.

Session 169: One Record per Line for Retained Results

Session 169 answered the owner’s question whether PR 305 should be 275,273 lines. Most of it was generated data in indented JSON, one scalar per line, so a shared writer, sqpack.retained_json, now writes retained results one record per line, and PR 305 adds 102,197 lines with no value changed. PR 323, stacked on it, moves 31 more retained results onto the writer (1,480,449 lines to 155,443) and adds a check that holds every tracked JSON file over 5,000 lines to the layout or names its exemption. Squashing would save 0.5 MB of a 950 MB repository that is 87% PDF, gzip and PNG, so the history stays, and the repository’s growth is left to four owner decisions. The selected next entry above is unchanged.

Previous: Session 166 n17 Route Review

Session 166 ran a W10 checkpoint on the merged PR 265 record with two Fable extra-high lanes. The route review holds the assessment, the evidence status and the reading order for the next agent. Neither lane found a mathematical error. In exploratory checks the stalled H258 stress is valid, and the kernel of its 52 positive rows is exactly the six slider and rattler directions, so the local theorem needs no second-order analysis. Its first-order radius estimate is 3×10−4. The global half has a census and no exclusions; settled-case cuts alone leave about 7.7 million of the 20,155,518 orbits. The conditional minimum holds only for sides in [4.675,4.676] and cannot be the terminal theorem; the morning report and projection review carry dated scope notes. No bound, frontier field or verdict changed.

Its selected entry was think-c7kv, the BC-406 coordinator. It dispatches three disjoint lanes in parallel: BC-402 repairs the H258 identity proof (then BC-407 proves H-261, the local minimum modulo the slider cone); BC-408 measures H-262, the survivors under settled-case cuts and conditional charge floors; and BC-409 identifies the endpoint with the catalogue polynomial (H-265). BC-410 and BC-411, which now owns the re-scoped think-11ma, wait for BC-408. Session 166 stops with hosted certification pending under think-od9c.

Previous: Session 165 Post-optimality Overnight

Session 165 completed seven independently reviewed n17 rounds: exp-235 through exp-239, exp-240 and exp-241. The known packing now has a certified exact chart endpoint and an attained minimum under explicit orientation and directed-projection premises. The verified outward upper ceiling is 4.6755300936045509516342148538535054; the lower bound 4.66044 is unchanged. Unrestricted local and global optimality remain open. The mixed-capacity cover has 161,100,756 necessary occupancy states; its closed-assignment D4 quotient has 20,155,518 orbits, with no geometric case excluded. H258 stopped after three preparation failures without a target stress verdict. The morning report records the mathematics, independent-checker boundaries, costs and remaining gaps.

Session 165 selected think-11ma, a small exact geometric-exclusion pilot below the certified endpoint. Session 166 re-scoped it to a cap at or above the endpoint, as BC-411.

Previous n11 Intake and Verification

T-060 is machine-checked at V3/C3/S5 under the current epistemics rubric. Its historical V4/C5 label did not denote human referee confirmation. The Queuingtheorydotcom/11SquaresOptimal proof gives s(11)=T, Trump’s exact side. The retained packet pins the source and independent exact replays; the review audits the full mathematical composition, including all 2,180 exclusions, ten capture nodes, local isolation, and the exact witness. The publisher’s four cached final-state digests are stale; our acceptance rests on fresh source-bound geometry, not those cached results. On 2026-10-06 the Lean 4 formalization of the proof, ElevenSquare.optimality in Queuingtheorydotcom/11SquaresFormalized, announced as formalized with Astra and Claude, entered the record as the source’s reported proof-assistant evidence. The statement audit reads its theorem as exactly T-060’s claim; the source reports that its full verification run, resumed from earlier receipts, passed with Lean’s compiler trusted for 13,308 native_decide axioms; and the statement closure and upper half were built here. It moves no rung until a complete build the record can rest on and a human expert’s review of the formalization are retained. T-037’s verified s(11)>31/8 and T-059’s reported row-minimum equality retain their separate scopes. PR 246 merged with the verified result; the next handoff is a bounded fresh-ensemble replay entry point.

The n = 11 papers form one series, read in order (plan): Part I, the project’s lower bounds T-018, T-025 and T-026; Part II, a review of Kleddamag’s s(11)>31/8 (T-037), its k-of-m charges, shrunken parents with strict cores and exact sweep (source); and Part III, the dedicated optimality paper, which explains that complete argument from first principles. Its simplification review consolidates the proof dependencies and geometric invariant without removing required cases, branches or checks. The rendered paper and PDF include the exact center cover, occupied mask and capture ancestry, with the implementation-sharing and fresh-replay limits stated beside the verification record.

The following paragraphs retain the previous intake handoff as an execution record. It placed tooling and efficiency off the proof’s critical path, then assigned think-uz2x to simplification and think-08pw to the separate n11 explainer. The Session 164 plan records parallel lanes, bounded checks and integration debt.

Session 163 completed the reviewed rectangle-bound, refinement, and T-059 receipt-admission slices on PR 246. The merge with main and hosted fast-tier certification are complete. The dependency map separates these engineering slices from complete certificate replay, global counting, ceiling repair and accelerated-verifier validation. These slices do not promote a packing bound.

Session 162 initially closed the wand125 intake, native rectangle-verifier prototype and documentation slice with explicit certification debt, since discharged by the hosted fast checkpoint. The implementation and review are published in PR 246. Required CI and the certificate-page workflow passed at c621b845f and the documentation follow-up c5490f783. The full deferred checkpoint also passed on the unchanged implementation at c621b845f. No complete retained external rectangle certificate has been independently verified.

Previous n11 follow-up: think-e2ot, build the bounded fresh-ensemble replay entry point while preserving the accepted historical evidence. The later mathematical entry is think-bmf3, W7: design and cost a whole-angle traversal using the measured refinement result, before a complete external rectangle replay. The two-level diagnostic evaluated all 268 children and closed 15 of 67 depth-capped parents in 8.994 seconds. The other 52 parents and 11 originally queued boxes remain outside a complete proof. The earlier corner comparison’s zero new threshold crossings remains a negative result. Complete external-certificate coverage remains required before assigning independent confirmation to that rectangle certificate. T-059’s complete source-row equality remains open; the identical point certificate’s global packing proof is already established as T-037 V4/C4. No frontier bound was promoted.

Session 151 asked again what improvement is left at low n and moved one bound. The frozen T-025 threshold atoms re-certify at the 2880-step net, where the crossing shrink does not rise, so the dilation-limit supremum rises to 955000·2073600042893309449/359341754646249=3.826997548829544, +0.00055 over T-026. Both retention routes accept the frozen bytes and agree at exactly 1, and the limit record is replayed and written. Session 151 deliberately left the register entry unwritten, which is why that session remains stopped with certification debt rather than being rewritten after the fact. PR 221 later registered the result as T-033; Session 154 reconciles it with the stronger external s(11)>31/8 bound. Four cells returned measured negatives with witnesses — the n=17 triples and the parent-centre restriction are both load-bearing, re-pricing that support is capped at about +0.0034, and the first grid-capable search at n=12, 20 and 21 returned the grid exactly on every run. Its X-042 contradicts X-041 in nine places, and the block corrected itself three times, including reverting an H-228 refutation that an adversarial lane caught after it had been pushed.

Session 150 landed the agenda-040 overnight stack and the n = 17 intake on main, repairing four confirmed review findings at the integration point rather than after it, and left the session’s own analysis as records: X-041’s ranked slate and the 2026-09-21 derived-artifact currency review. It also replayed and reviewed a fifth external n = 17 value, Kleddamag’s 461300/99853, which reproduced byte-identically through both of its own checkers and drew no Blocker and no High from an adversarial proof review. That artifact is retained at V4/C3 with C4 blocked, and no bound moved for it: the registered n = 17 lower bound is T-032 at 461300/99999.

Three process defects came out of the block and are tracked rather than worked around: think-fqut, where GitHub’s stacked-PR merge orphans declared gate commits; think-qsn2, where check_session_gate’s verdict depends on the clone’s fetch depth; and think-3umt, where a record authored terminal can never earn its first receipt.

Session 152 retained and reviewed the complete external n11 threshold, rectangle-density and point certificate packet. Complete source replays and mathematical audits support 19 newly audited verified-field improvements, and the session corrects n17 to the stronger Kleddamag bound already replayed and reviewed in Session 150, for 20 promotions in all. The n11 and n17 paired source checkers each share one event-cell method, and the density global decision remains the source C++ method, so the adopted evidence is stated at C3 rather than C4. The density continuation driver’s wrong-count and stale-side imports are a High defect in that admission path; the separately checked fixed certificate files remain valid. The scoped pre-push at clean commit 819ade7 timed out in reachable behavioral tests with no emitted assertion failure; its retained receipt is diagnostic, not certification. The closure is certified at reachable branch commit 819ade7ca8afbe634a6ee54f215f0878f5674031 solely by the hosted five-job full gate.

Session 153 completed the independent adaptive parent-core audit. All 12,028 rows certify with the admissible parent-centre domain, strict core containment, and bounded site and feature tables. The full proof remains pinned to clean c183cc9ab; PR 223’s final records at 22671c5e6 merged into main without changing the 19 frozen proof inputs. This supplies C4 confirmation by a method independent of the source implementation.

Session 154 reconciled PR 221 with the final PR 222 head. T-033 and its three evidence records remain the retained first-party 2880-step rung, while the external strict s(11)>31/8 result remains the current case bound and all twenty promoted fields remain current. BC-373 is complete on the retained T-033 receipt and full-gate evidence; Session 151 stays stopped as the historical record of its cutoff.

PR 224 is merged. Session 155 publishes the owner’s W3 frontier review as PR 230: three reviewed explorations, three diagnostic tools, seven original receipts and 31 shaped idea rows. It changes no bound or registered hypothesis. Ordinary PR checks and the exact-head five-job full checkpoint passed. Session 154’s earlier think-vx26 selection remains a bounded publication gap: render T-033’s missing standalone claim document from the retained result and evidence records. think-tzg7 owns the frozen producer-provenance limitation, think-380b owns the broader significance rubric, think-ck07 owns a second complete density-verification method, and think-c0xc owns the continuation-driver admission guard.

Session 156 answered that prioritization overnight, stacked on PR 230 as PR 231. Four reviews of X-043 to X-045 found no fatal error and changed what counts as progress at n11: with s(11)>31/8 known, closing the gap to Trump’s U is the whole problem, and no counting certificate can prove equality there. X-046 therefore lays out a ladder of restricted-family theorems, and X-047 maps where the additive route dies at each low n; agenda-042 registered H-236 to H-241. One bound moved: T-034, s(21)≥122/25, from a window-free point certificate that a Fable max review accepted on three routes. At n11, rung 0 of the ladder (Trump globally optimal at its own angle) closed 198 of 256 subtrees on 1.19×108 nodes with every checked certificate accepted and no leaf below U; the tree is about a thousand times X-046’s estimate, so rung 1 needs a stronger relaxation. The capture-radius route is exhausted at the BC-199 modulus, and a descent-filtered census found no third-orientation minimum below Stromquist’s value but two new minima within U+0.02. The n12 ceiling run ended unsettled, and the ParentClip build never opened: the harness session quota stopped every agent from about 03:15 to 08:45 PT. Session 156 is closed and certified by hosted full run 35960673750 at a08ce5289.

Session 157 spent one night of CPU on registered work, stacked on PR 231 as PR 233. Rung 0 closed. The last 58 subtrees ran with the unchanged frozen instrument and the independent reader accepted the complete tree: 119,556,859 leaf certificates, three Trump-degenerate leaves, no unresolved leaf (exp-232). H-236 is confirmed: at Trump’s own angle, no packing of eleven unit squares beats U, the first optimality statement with an equality case for a family containing Trump’s packing (Stromquist 2003’s 0∘/45° bound is an earlier restricted-orientation statement), pending BC-241 for the local theorem its terminal leaves use. The n12 cutting loop converged at 11.980175<12, rejecting H-241 (exp-233). D-508 corrects exp-231’s certificate count, which had included branch nodes. Hosted full run 36003435328 certified the closed session.

Session 158 locked in rung 0 and priced rung 1, stacked on PR 233 as PR 234. A Fable max review accepted the closed tree, and it is registered in two parts: T-035, the machine-verified reduction of every packing in the family to Trump’s ball (V4/C5), and T-036, the composed theorem that Trump is optimal at its own angle, with equality only at Trump (V3/C2, the minimum of its parts). BC-382 closed BC-241 with a full radius-generator replay and a method-distinct control, so BC-240’s first clause is verified and exact. The 8 GB certificate tree is archived off-repo with its SHA-256 manifest in the record. The rung-1 pilot (exp-234) ran eighteen boxes away from Trump’s tilt: none closed at 150,000 nodes per subtree, and every one closed about two-thirds of its measure for about four million nodes whatever its width or tilt. Rung 1’s cost is in the fixed-angle centre enumeration, so a stronger per-node bound comes before H-112. Hosted full run 36075268969 certified the closed session.

Session 159 took in Guzhou0806’s R052, s(17)>231001/50000=4.62002, built on Kleddamag’s architecture. All four of the source’s replay modes pass here, both full sweeps reproducing its row ledgers exactly, and a Fable max review found no mathematical defect (review). It became the verified n = 17 lower bound at V4/C3, until Kleddamag’s v1.1.0 232001/50000 superseded it on 27 September; the native interval route refuses it at its engine ceilings, so there is no method-distinct decision yet. A planning block then asked what R052 and the closed rung 0 make possible (plan). At n = 17, R052’s certificate is nearly saturated, so a first-party increment of 10−4 is not worth building; an unreviewed lemma says a triangle-free overlap family of 34 squares at side S caps every capacity-one certificate at S, which a cheap search can price. At n = 11 the retained trees show the separating-axis LP reaches any target until about twenty pairs are fixed, so BC-384 waits on a tilt-profile census and a two-class counting certificate. Agenda-042 gains BC-386 to BC-391 and H-243 to H-247. Hosted full run 36121001128 certified the closed session.

The 27 September planning block (BC-392, plan) followed Kleddamag v1.1.0’s s(17)>232001/50000=4.640020 and wand125’s rectangle certificates for n = 18 to 78. Every atom of v1.1.0 has capacity one, so the certificate itself refutes H-243’s 4.63 family and the ceiling search moves to 4.65 in clique-weighted form (H-248); a reweighting of its dictionary is worth of order 10−3 in charge, an unmeasured amount of side (the lemma check withdrew the plan’s +0.006 cap). BC-386 is superseded by BC-393, the same cap lift aimed at v1.1.0 through a winning-subset atom; BC-391 is superseded by wand125’s 4.985. The overnight queue is BC-390 on eight workers beside rectangle-density ladders at n = 82 and n = 50 (BC-394, H-250 and H-251) and n = 12 (BC-395, H-249), the rows the external certificates left weakest; BC-393, BC-388 and BC-387 follow their day builds. evand/square-packing’s claims (s(32)=6 by a zero-margin closed cover, s(12)≥3.968616, s(21)≥4.995), reviewed and registered by other lanes, retarget H-249 to 3.99 and add BC-396 (H-252): the same cover carried upward to n=45, side 7.

Session 160 took in Kleddamag’s s(17)>232001/50000 at V4/C3, Evan Daniel’s s(32)=6 at V4/C1 with s(12)≥15680/3951 and s(21)≥5000/1001 at V4/C3, and wand125’s rectangle bounds for n = 18 to 78, each after a Fable max review, and contained D-509’s explainer PDF wobble on PR 235.

Session 161 took in wand125’s 28 September update and what it pointed to: Guzhou0806’s s(17)>116511/25000 (T-043), Evan Daniel’s mixed covers for s(21)=5 and s(45)=7 (T-052, T-053), wand125’s point-only routes to both (T-054, T-055) and its reported s(50)≥37/5 (T-048), each after a Fable max review, and recorded the retained zmx2 run as a second method for s(32)=6 (jlevy/squares#245). It stopped at 07:12Z with the complete zm_mixed.py re-sweeps unfinished, so its handover is uncertified and named under think-l6la.

Selected next entry at the Session 161 cutoff: think-l6la: the complete zm_mixed.py --d4 --cert-mode re-sweeps for s(21) and s(45), recorded, raising T-052 and T-053 to C4.

Selected next entry at the Session 160 cutoff: think-7c17, BC-390: the widened n = 11 rung 0 box on eight workers overnight, with BC-394’s rectangle ladders (think-pr2b), the 41 queued wand125 replays and Evan Daniel’s s(32) full sweep on the remaining workers; BC-393 (think-0rbj), BC-388 and BC-387 follow their day builds.

Selected next entry at the Session 159 cutoff: think-amx8, BC-386, since stopped in favour of BC-393.

Selected next entry at the Session 158 cutoff: think-ggk5, BC-384, now blocked on BC-388 and BC-389.

Selected next entry at the Session 157 cutoff: think-6w2y, BC-381, the closed-tree review, fulfilled by Session 158.

Selected next entry at the Session 156 cutoff: think-ie35, BC-375, finishing rung 0. Run the 58 wall-cap subtrees with the unchanged Amendment 1 bytes and then the reader over the whole tree; the index list is in exp-231’s retained summary and the 5.5 GB tree sits in the Session 156 worktree’s attic/rung0/, outside the record. Deferred behind it: a stronger per-node relaxation for rung 1, a second-order-exact isolation theorem (idea 246), think-m9iz (ParentClip, for n21 at 4.9 and n18 at 4.70) and think-xmm4 (the n12 ceiling with a converged row loop). The owner’s decision on retiring H-121 as a route, which X-046 recommends, is open.

Selected next entry at the Session 155 cutoff: think-5zjd, user prioritization of the shaped W3 candidates from X-043 through X-045, fulfilled by Session 156. Session 153’s earlier think-d010 publication handoff is fulfilled by PR 223’s merge.

Selected next entry at the Session 151 cutoff: think-gvlg, registering the n=11 rung Session 151 left accepted and unregistered. Its threshold certificate at the 2880-step net is RETAINABLE by both retention routes, which agree at exactly 1, and its dilation-limit record is replayed and written. That cutoff debt is now discharged by T-033 in PR 221; this paragraph preserves the selection Session 151 actually made. think-zmos, the W5 efficiency block that was the previous entry, is discharged: OR-17’s 1.38x turned out to be the hosted runner pool rather than drift, the four CI jobs are clocked, and the rule’s text is corrected. The agenda-040 closeout under OR-11 remains outstanding and is not this entry.

Session 149 adopted s(17)≥461300/99999 as T-032 from Guzhou0806’s R012 certificate, with Mira’s 4613/1000 beneath it, after four passing replays and a proof review that found no error. It is the first verified bound at this size that came from outside, and both certificates descend from this repository’s own T-019. The identifier was contended: pull request 208 claimed T-031 from the open overnight stack for the n=11 octagon corner class, the stack merged into main first and kept it, and this result took T-032 when main was merged into the intake branch.

Selected next entry at that cutoff: think-pcd0, the n = 17 intake: land the adoption of s(17)≥461300/99999 as T-032. The research entry behind it is BC-357, closing M7’s n=6 bracket at 299/100 under H-216.

Session 148, chunk 5 on PR 209, stopped at the owner’s request at 17:02Z with its work captured. It registered H-232 after an adversarial review: the all-deep corner class at 96/25 is pinned (occupant cores contain X', at least three non-occupants at depth at least sqrt 2 - 1 from every wall, at most one in the central 1.84-box), the ring-centre 2-of-3 atom collects exactly 5/4 against a budget of 1 from the transported 88-family, the maximum, and the fixed-support screen is the full kill at value 7. The gap-g wedge lemma (BC-364, H-230) is derived and reaches the 7.11 degree orbit but cuts no weighted pair of the 64-family (CANNOT REACH, unreviewed). Two partial ports (the corner clip on the threshold routes, the gap_wedge tool) are retained as patches under results/agenda-040. No bound moved.

Selected next entry at that cutoff: think-n1v2: resume chunk 5 from the retained patches and the wedge derivation (its review, exp-221 for H-230 and BC-364’s disposition, the threshold clip and the gap_wedge port), then H-232’s fixed-support screen, in Session 149 on the next stacked branch. BC-357 / H-216 stays the registered n=6 calibration entry in agenda-037.

Session 147 completed overnight chunk 4 of agenda-040 in PR 208, stacked on PR 207: T-031 registers the exp-220 exclusion of the octagon corner class at 96/25 at the scope Session 146’s review accepted, V4/C3 on the two gate routes — the exact sweep and the interval branch and bound are the two internal routes of one gate invocation, so the review counts them as one confirmation — significance 2, with a case package and a control test that replays the gate. The overnight loop closed on its clock after four chunks; no bound moved.

The selected entry at that cutoff was think-b7pr, BC-367: the four mixed corner classes at 96/25 and a second n=26 site set.

Session 146 completed overnight chunk 3 of agenda-040 in PR 207, stacked on PR 206. A Fable registration review of the exp-219 exclusion returned REGISTER WITH CORRECTIONS with no soundness defect: the gate replays byte-for-byte, the statement is a theorem about every packing of eleven unit squares in a square of side 96/25 (some square meets the open corner triangle x + y < 1/2), and the all-deep class is already outside the point language (BC-366), so the corner tree cannot close at 96/25 by clipping alone. The bytes’ unconditional claim string was fixed in the driver, the gate and the readers, and exp-220 re-froze the same 680-atom covering under the class claim with both routes accepting. The ceiling-family fold is retained as devtools.fold_ceiling_family. No bound moved.

The selected entry at that cutoff was think-b7pr, BC-367: write the registration entry at the reviewed scope, then the four mixed corner classes and a second n=26 site set.

Session 145 completed overnight chunk 2 of agenda-040 in PR 206, stacked on PR 205. The convex corner-clip instrument was admitted after an adversarial review, and exp-219 confirmed H-222 at its scope: every packing of 11 unit squares in a square of side 96/25 has a square meeting the open corner triangle x + y < 1/2 at some corner, RETAINABLE under the corner class hypothesis from both routes at mass 10.868617. That excludes the octagon class at 3.84; it is not a bound, and the all-deep class is already outside the point language (BC-366), so the corner tree cannot close at 96/25 by clipping alone. The three retained replay readers are re-bound to the instrument’s revision with their determinations reproduced. The overnight loop closed on its clock after two of four chunks; BC-361, BC-362 and BC-363 are dispositioned on agenda-040.

The selected entry at that cutoff was think-b7pr, BC-367: register the exp-219 conditional exclusion after review, clip the remaining corner-bin classes at 96/25, and give n=26 a second site set.

Session 144 completed overnight chunk 1 of agenda-040 in PR 205, stacked on PR 204. None of the three stock-instrument determinations reached its target: H-223 and H-224 are unresolved with their site sets refuted at 15.566 and 17.042 (exp-214, exp-218), and H-225 stopped on the clock at the 25.000000 plateau (exp-215). The BC-362 lane replayed Bentz 2016 Theorem 11 at the printed constants, retained the one-spare inventory under devtools/bentz2016, and rejected H-226 and H-227 as stated (exp-216, exp-217); D-507 corrects the Theorem 9 budget. No bound moved.

The selected entry at that cutoff was think-ni3v, BC-363: the corner-clip instrument and H-222 at 96/25 in Session 145 under exp-219.

Session 143 completed the owner-directed deeper mathematical review of the lower-bound routes in PR 204. X-040 reads the retained ceiling family as a fractional 8 + 3 packing, shows the corner deep branches neutral at the target sides, retires the theta screen and the four-wall stress theorem, identifies the one-spare integer cases 21 and 32, and corrects the Bentz 2016 transcription (D-505, D-506). Ten hypotheses H-222 to H-231 are registered and agenda-040 carries the overnight loop; no bound moved.

The selected entry at that cutoff was think-pogj, BC-361: decide H-223, H-224, and H-225 on the stock instruments in Session 144 under exp-213 to exp-215, with the BC-362 Bentz 2016 replay lane beside it.

Session 142 completed the correctness review and bounded pipeline repairs in PR 202. All four retained n=18 certificates passed both routes, and the corrected code passed the matching fast and deferred checkpoints. The original PRs 199–201 remain unchanged and are not independently ready to merge; landing must retain the corrections at the cumulative tip. The n=29 candidate remains interval-unresolved and unpromoted. The owner’s follow-up on 2026-09-19 requires the PR-by-PR landing-readiness block think-n3fl, then the small W7 correctness and efficiency block think-177v, before resuming H-216. The pipeline block includes think-1i1x and the publication update sequence in the documentation runbook. The current publication audit is tracked by think-kq00.

Session 141 closed the stacked n<100 research loop. It retained T-029 s(18)≥1871/400 and T-030 s(18)≥4679/1000, confirmed H-219 and H-221, and left H-218 and H-220 unconfirmed. think-qqzs was the selected scientific continuation behind those prerequisites until Session 143; H-216 stays the registered n=6 calibration entry, and the owner’s 2026-09-20 direction runs the overnight lower-bound loop of agenda-040 beside the landing-readiness and pipeline blocks. Session 140 closed the preceding stacked-PR n<=100 survey and retained T-028 s(18)≥187/40.

Session 139 is the preceding overnight scientific closeout. It retained T-027 s(18)≥467/100, stopped after Route S encode-only timed out unresolved, and left H-216 open. Session 138 is the preceding route-selection handoff. It reviewed the n=11 record, ranked eight mechanisms that price relations between squares, subjected them to an independent adversarial review, and measured two. X-037 records the findings at their scope, and agenda-037 owns the resulting queue. No bound moved, no covering value was measured above 191/50, and no hypothesis was registered that night. The measurements come from scratch lanes and need guarded tools before any of them is retained.

  • M1 (clique and majority atoms at 153/40). All 44 heavy cliques of the A6 64-family are budget-one threshold atoms. Fixed supports fell below 11, but column generation rebuilt a mass-11 family after every cut, and the decisive rows-complete LP was blocked by the unretained sites-1 checkpoint.
  • M7 (helper-free point certificates). n=10 at 37/10 is foreclosed exactly by an integer ceiling family. The n=6 covering value at 299/100 lies between 83/14 (exact) and 6.006571 (float). The two-route gate accepts only crossings weaker than the proved values.

Session 138’s records landed when PR 193 merged as 4ad98e90; think-4woh is closed and certification debt now sits under think-qqzs. The five X-037 owner decisions are resolved under epistemics.md: weighted-majority, k-of-S, and floor atoms are an admitted language (think-g3j7 still lands a new reader, and does not mutate T-025/T-026 verify_claim.py); H-216 is the n=6 existence determination; H-217 is Route F1, blocked on tools; M6 stays retired with no Route D search hypothesis; SDP is not admitted and M2 stays retired.

Selected next entry at that cutoff: think-qqzs, BC-357: close M7’s n=6 bracket at 299/100 under H-216. G1, G2, G3, and G5 are on main. G4 remains on this bead and is not H-216’s instrument. Session 139 stopped after encode-only timed out unresolved and T-027 retained s(18)≥467/100. H-216 stays open. think-qqzs was the next entry until Session 143 selected BC-361.

BC-358, Route F1 / H-217, is blocked on the think-g3j7 reader, think-3xbr, and think-gyzw. BC-359, the M3 kill test under think-k4vb, is tentative. BC-360 retires M2, M4, M5, M6, and M8 with reasons. exp-161 remains Route S in agenda-036.

Session 137 is the preceding terminal handoff and the last pipeline one. It records the continuation of Session 136 by two concurrent Codex threads, their interruption, and the recovery that restored the 160 MiB snapshot cap and committed a repair for the Pages deploy that had not run since PR 183, pending the first main deploy. It then took PR 188 to green hosted CI at be28ad5a: the suite shards were rebalanced, and by owner decision the pull-request walls are advisory under think-g4n9 until they hold 180 s on hosted runners. PR 188 merged as 042e791c and the stacked PR 185 as d7f9d94d, and think-97we is closed; BC-355’s cell stays in_progress for those advisory walls alone. Neither stopped CI session changes a mathematical result.

Session 135 remains the latest Route S handoff. It discharged the four guards retained by Session 134: complete T-025/T-026 contents bound to a declared Git revision and repository-relative paths, both T-026 sentinels, a canonical source-bound nonempty selection manifest, and every declared mutation refusal. A fresh source-distinct audit found one path-alias hole; the repaired symlink refusal and its regression passed re-audit, so the retained receipt admits the instrument, and PR 182 merged it as 1d9c49c4 from reviewed head 609d7d62. No optimizer, candidate, coverage target, experiment, or scientific verdict was produced. X-032 owns the source and verdict boundary, H-163 owns the prospective scientific claim, and T-026 is only a support-and-rescaling provenance sentinel. BC-343 stays open in agenda-036 under think-ufmk. Session 139 registered exp-161 and ran encode-only; that process timed out unresolved. --search did not run.

BC-340, BC-353, and BC-354 are terminal. BC-341 remains tentative behind a future W10 reselection and the named Route A representation gaps, which Session 133 found when it stopped BC-354 at the frozen Route A representation boundary: three source inventories turned up no complete 80-stratum negative-root producer, seam-safe shared-parent domain, rows-complete matched baseline, conditional-domain gate, or independent exact replay. No target ran, zero of the 16 physical roots closed, and that is not evidence against a future complete Route A representation.

For the n = 11 Route A/Route S decision, the scientific evidence cutoff remains main revision 80bcdbb0819504354e1278c37f211dd8cc2158fb. Later merged campaign, CI and workbench records are included in the repository-wide roll-up above; none of them promoted a frontier result at n = 11, so T-026 was then the n = 11 lower-bound frontier. T-037 and then T-060 have since superseded it.

The older BC329, weighted-atom stages 3–4, and BC303 H-160/H-162 target lanes are paused. Their admitted implementations, registrations, and controls remain evidence; no exp-158 or exp-160 target receipt exists, so none carries a scientific verdict. The current inventory and candidate roadmap are in Research Program Status and Roadmap.