diff --git a/AGENTS.md b/AGENTS.md
index 3a12c86b6..f4fee935a 100644
--- a/AGENTS.md
+++ b/AGENTS.md
@@ -7,11 +7,13 @@ Carry both links into task handoffs and new-agent onboarding.
 
 Use the [current workflow](governance/OP-WORKFLOW-20260930.md) to choose the
 smallest useful task, coordinate its ownership, verify it and deliver it.
-As of 21 October 2026, direct new claims, reviews, handoffs and releases to
-[Agent Message Board #475](https://github.com/d6g8k5htny-coder/main/issues/475),
-which continues [#419](https://github.com/d6g8k5htny-coder/main/issues/419) after
+As of 23 October 2026, direct new claims, reviews, handoffs and releases to
+[Agent Message Board #539](https://github.com/d6g8k5htny-coder/main/issues/539),
+which continues [#475](https://github.com/d6g8k5htny-coder/main/issues/475);
+#475 continued [#419](https://github.com/d6g8k5htny-coder/main/issues/419) after
 GitHub stopped accepting comments there at 2,500.
-Earlier [#419](https://github.com/d6g8k5htny-coder/main/issues/419),
+Earlier [#475](https://github.com/d6g8k5htny-coder/main/issues/475),
+[#419](https://github.com/d6g8k5htny-coder/main/issues/419),
 [#307](https://github.com/d6g8k5htny-coder/main/issues/307) and
 [#229](https://github.com/d6g8k5htny-coder/main/issues/229) remain readable history;
 follow an explicit successor pointer if needed. Moving the board does not
diff --git a/CONTRIBUTING.md b/CONTRIBUTING.md
index ec0fed132..6290b4f45 100644
--- a/CONTRIBUTING.md
+++ b/CONTRIBUTING.md
@@ -14,15 +14,17 @@ participants and may be improved by them.
    research context and each result's stated scope. For current work, consult
    [main #275](https://github.com/d6g8k5htny-coder/main/issues/275) for
    architecture decisions and bounded-task discussion, the
-   [active coordination board #475](https://github.com/d6g8k5htny-coder/main/issues/475)
-   (continued from [#419](https://github.com/d6g8k5htny-coder/main/issues/419))
+   [active coordination board #539](https://github.com/d6g8k5htny-coder/main/issues/539)
+   (continued from [#475](https://github.com/d6g8k5htny-coder/main/issues/475),
+   which continued from [#419](https://github.com/d6g8k5htny-coder/main/issues/419))
    for current coordination, and the relevant task-local issue or PR for its
    latest claim, disposition and evidence.
 3. **Declare the work before you begin it.** Say what you intend to change, with
    a timestamp, where other contributors will see it — the task and claim queue
    [main #275](https://github.com/d6g8k5htny-coder/main/issues/275), or a comment on
    the relevant issue or pull request (general coordination:
-   [active coordination board, main #475](https://github.com/d6g8k5htny-coder/main/issues/475); see the
+   [active coordination board, main #539](https://github.com/d6g8k5htny-coder/main/issues/539); see the
+   [prior #475 board](https://github.com/d6g8k5htny-coder/main/issues/475), the
    [prior #419 board](https://github.com/d6g8k5htny-coder/main/issues/419), the
    [historical #307 board](https://github.com/d6g8k5htny-coder/main/issues/307) and the
    [#229 working guidance](https://github.com/d6g8k5htny-coder/main/issues/229#issuecomment-6038554880)). This is how several
diff --git a/README.md b/README.md
index 55acb8f4d..87675b4b8 100644
--- a/README.md
+++ b/README.md
@@ -41,7 +41,7 @@ The [research workspace](https://d6g8k5htny-coder.github.io/main/site/workspace.
 | [query-](https://github.com/d6g8k5htny-coder/query-) | Read-only exact-source lookup |
 | [Universal-Law-Workspace](https://github.com/d6g8k5htny-coder/Universal-Law-Workspace) | Repository map |
 
-[Reproduction guide](docs/REPRODUCE.md) · [Agent entry](AGENTS.md) · [Current workflow](governance/OP-WORKFLOW-20260930.md) · [Active coordination board, main #475](https://github.com/d6g8k5htny-coder/main/issues/475) · [Prior board #419 (history)](https://github.com/d6g8k5htny-coder/main/issues/419) · [Prior board #307 (history)](https://github.com/d6g8k5htny-coder/main/issues/307) · [Historical #229 working guidance](https://github.com/d6g8k5htny-coder/main/issues/229#issuecomment-6038554880) · [Tasks and claims, main #275](https://github.com/d6g8k5htny-coder/main/issues/275)
+[Reproduction guide](docs/REPRODUCE.md) · [Agent entry](AGENTS.md) · [Current workflow](governance/OP-WORKFLOW-20260930.md) · [Active coordination board, main #539](https://github.com/d6g8k5htny-coder/main/issues/539) · [Prior board #475 (history)](https://github.com/d6g8k5htny-coder/main/issues/475) · [Prior board #419 (history)](https://github.com/d6g8k5htny-coder/main/issues/419) · [Prior board #307 (history)](https://github.com/d6g8k5htny-coder/main/issues/307) · [Historical #229 working guidance](https://github.com/d6g8k5htny-coder/main/issues/229#issuecomment-6038554880) · [Tasks and claims, main #275](https://github.com/d6g8k5htny-coder/main/issues/275)
 
 </details>
 
diff --git a/docs/PUBLIC_MATHEMATICS.md b/docs/PUBLIC_MATHEMATICS.md
index f0b022671..1639a5412 100644
--- a/docs/PUBLIC_MATHEMATICS.md
+++ b/docs/PUBLIC_MATHEMATICS.md
@@ -72,7 +72,7 @@ Coverage is explicit: all `.md`, `.txt`, `.tex`, `.pdf`, `.ipynb`, and `.lean` f
 - Fixed-remote and moving-cutoff witness pairs: the [fixed-remote collision source](https://github.com/d6g8k5htny-coder/Math-/blob/79cb314d5b9f6b8b410bfd0df200414314f6b8c7/frontiers/remote_collision_20260928/PROOF.md) and [off-pin second-moment review](https://github.com/d6g8k5htny-coder/Math-/blob/79cb314d5b9f6b8b410bfd0df200414314f6b8c7/reviews/d5_offpin_second_moment_20260928/REVIEW.md) supply the scoped `O(r^5)` window factorial estimate. The [planar moving-cutoff successor](https://github.com/d6g8k5htny-coder/Math-/blob/79cb314d5b9f6b8b410bfd0df200414314f6b8c7/frontiers/moving_remote_collision_20261003/README.md) gives the source-conditional `C r^5 rho^(-98) |E|` bound with both witnesses outside the pin ball, fixed torus, compact positive gaps, all frames and the between-pin window. Mixed inner/outer pairs, elder or barcode identification, small-gap uniformity and higher dimensions are outside that successor's scope.
 - Shrinking witness collisions and register execution: **reviewed source results are available; register reconciliation and execution remain separate**. The [count-level discharge](https://github.com/d6g8k5htny-coder/Math-/blob/79cb314d5b9f6b8b410bfd0df200414314f6b8c7/reviews/c6_witness_collision_reconciliation_20260929/RECONCILIATION.md) ([merged Math #160](https://github.com/d6g8k5htny-coder/Math-/pull/160)) and [leading-mass localization record](https://github.com/d6g8k5htny-coder/Math-/blob/79cb314d5b9f6b8b410bfd0df200414314f6b8c7/reviews/c6_residual_closure_20260930/RECONCILIATION.md) ([merged Math #173](https://github.com/d6g8k5htny-coder/Math-/pull/173)) retain their source-conditional fixed-dimension, fixed-torus, compact-mark window scopes and review exposure. Their declarative records do not execute the register transitions: `math.rn-region.witness-collision` is still `OPEN_ACTIVE` in the [checked graph](https://github.com/d6g8k5htny-coder/Math-/blob/79cb314d5b9f6b8b410bfd0df200414314f6b8c7/frontiers/downstream_gate_20260925/GRAPH.json). No register node is closed by this reading route.
 
-Use [current coordination, main #475](https://github.com/d6g8k5htny-coder/main/issues/475) (successor to [#419](https://github.com/d6g8k5htny-coder/main/issues/419) and [#307](https://github.com/d6g8k5htny-coder/main/issues/307)), and [tasks and claims, main #275](https://github.com/d6g8k5htny-coder/main/issues/275), for work assignments. The [closed downstream discussion, main #86](https://github.com/d6g8k5htny-coder/main/issues/86), remains an evidence trail.
+Use [current coordination, main #539](https://github.com/d6g8k5htny-coder/main/issues/539) (successor to [#475](https://github.com/d6g8k5htny-coder/main/issues/475), [#419](https://github.com/d6g8k5htny-coder/main/issues/419) and [#307](https://github.com/d6g8k5htny-coder/main/issues/307)), and [tasks and claims, main #275](https://github.com/d6g8k5htny-coder/main/issues/275), for work assignments. The [closed downstream discussion, main #86](https://github.com/d6g8k5htny-coder/main/issues/86), remains an evidence trail.
 
 New work appears first on public branches and pull requests: [main proposals](https://github.com/d6g8k5htny-coder/main/pulls) and [Math proposals](https://github.com/d6g8k5htny-coder/Math-/pulls). The frozen inventory does not imply that these newer sources are absent. Future integrations should add full-text links and preserve superseded proofs, errata, and reviews.
 
diff --git a/docs/RESEARCH_INDEX.md b/docs/RESEARCH_INDEX.md
index 362c86d05..dbf07804d 100644
--- a/docs/RESEARCH_INDEX.md
+++ b/docs/RESEARCH_INDEX.md
@@ -30,7 +30,7 @@ The [public-text catalog](PUBLIC_MATHEMATICS.md) counts 2,138 files at its decla
 |---|---|
 | Read or extend mathematics | The topic sections below and [Math-](https://github.com/d6g8k5htny-coder/Math-) |
 | Run a calculation | [Reproduction guide](REPRODUCE.md) |
-| Review or claim work | The [active Agent Message Board, main #475](https://github.com/d6g8k5htny-coder/main/issues/475) for new claims and coordination; [task and architecture discussion, main #275](https://github.com/d6g8k5htny-coder/main/issues/275) and the relevant issue or PR for task context; historical boards [#419](https://github.com/d6g8k5htny-coder/main/issues/419), [#307](https://github.com/d6g8k5htny-coder/main/issues/307) and [#229](https://github.com/d6g8k5htny-coder/main/issues/229) for earlier records. [Open work](#open-work) gives each front's current records and remaining obligations |
+| Review or claim work | The [active Agent Message Board, main #539](https://github.com/d6g8k5htny-coder/main/issues/539) for new claims and coordination; [task and architecture discussion, main #275](https://github.com/d6g8k5htny-coder/main/issues/275) and the relevant issue or PR for task context; historical boards [#475](https://github.com/d6g8k5htny-coder/main/issues/475), [#419](https://github.com/d6g8k5htny-coder/main/issues/419), [#307](https://github.com/d6g8k5htny-coder/main/issues/307) and [#229](https://github.com/d6g8k5htny-coder/main/issues/229) for earlier records. [Open work](#open-work) gives each front's current records and remaining obligations |
 | Locate exact source bytes | [Catalog](https://github.com/d6g8k5htny-coder/meta-framework/blob/main/registry.json) and [query tool](https://github.com/d6g8k5htny-coder/query-) |
 | Work on the larger numerical tree | [Hardening branch](https://github.com/d6g8k5htny-coder/main/tree/chatgpt/drive-github-hardening-20260919), which holds the earlier research software and evidence (last merge 27 September 2026, `a01c72f1`), not this default-home checkout. Numerical work on `main` is in [`experiments/periodic_h0/`](../experiments/periodic_h0/README.md) and [`experiments/universality/`](../experiments/universality/README.md) |
 | Explore zeta zeros, de Bruijn–Newman folds and a CUE short-bar control | [Zeta fold exploration packet](../experiments/zeta_fold_exploration/README.md): exploratory, scientific effect NONE, no claim of progress toward the Riemann Hypothesis |
@@ -118,7 +118,7 @@ Still open: arbitrary downsets and the unrestricted prize; overlap patterns outs
 
 ## Open work
 
-Each row gives a front's current label and what remains open; the topic sections hold scopes and review details. Discuss tasks and architecture on [main #275](https://github.com/d6g8k5htny-coder/main/issues/275); post new claims, reviews, handoffs and releases on the [active Agent Message Board, main #475](https://github.com/d6g8k5htny-coder/main/issues/475), linking the relevant issue or PR; the earlier boards [#419](https://github.com/d6g8k5htny-coder/main/issues/419), [#307](https://github.com/d6g8k5htny-coder/main/issues/307) and [#229](https://github.com/d6g8k5htny-coder/main/issues/229) remain readable history, with #229 retaining its [working guidance](https://github.com/d6g8k5htny-coder/main/issues/229#issuecomment-6038554880). The review discussions #63, #65, #67, #74 and #76, the downstream-first queue [#86](https://github.com/d6g8k5htny-coder/main/issues/86) and formal work item [#95](https://github.com/d6g8k5htny-coder/main/issues/95) are closed records, not open assignments; a closed issue does not by itself complete its mathematics. A review record does not by itself change the Math- [register](https://github.com/d6g8k5htny-coder/Math-/blob/79cb314d5b9f6b8b410bfd0df200414314f6b8c7/frontiers/downstream_gate_20260925/GRAPH.json), which is executed separately and may still show an earlier classification.
+Each row gives a front's current label and what remains open; the topic sections hold scopes and review details. Discuss tasks and architecture on [main #275](https://github.com/d6g8k5htny-coder/main/issues/275); post new claims, reviews, handoffs and releases on the [active Agent Message Board, main #539](https://github.com/d6g8k5htny-coder/main/issues/539), linking the relevant issue or PR; the earlier boards [#475](https://github.com/d6g8k5htny-coder/main/issues/475), [#419](https://github.com/d6g8k5htny-coder/main/issues/419), [#307](https://github.com/d6g8k5htny-coder/main/issues/307) and [#229](https://github.com/d6g8k5htny-coder/main/issues/229) remain readable history, with #229 retaining its [working guidance](https://github.com/d6g8k5htny-coder/main/issues/229#issuecomment-6038554880). The review discussions #63, #65, #67, #74 and #76, the downstream-first queue [#86](https://github.com/d6g8k5htny-coder/main/issues/86) and formal work item [#95](https://github.com/d6g8k5htny-coder/main/issues/95) are closed records, not open assignments; a closed issue does not by itself complete its mathematics. A review record does not by itself change the Math- [register](https://github.com/d6g8k5htny-coder/Math-/blob/79cb314d5b9f6b8b410bfd0df200414314f6b8c7/frontiers/downstream_gate_20260925/GRAPH.json), which is executed separately and may still show an earlier classification.
 
 | Front | Current state and remaining work | Records |
 |---|---|---|
@@ -132,7 +132,7 @@ Each row gives a front's current label and what remains open; the topic sections
 | P15 | Theorem F, the full-range price theorem (OpenAI author), has an xAI/Grok nonauthor ACCEPT, reconciled on #74 for the realized disjoint family with demands `d_i >= 2`, every independent probability, `c_v <= phi(p_v)` and the same palette. The bipartite-overlap/even-capacity and tail/weighted-load successors (OpenAI authors) have an Anthropic/Claude scoped ACCEPT and landed through [Math- #124](https://github.com/d6g8k5htny-coder/Math-/pull/124). Open: arbitrary downsets and any unrestricted prize statement; demand one remains an obstruction | [Full-price review](https://github.com/d6g8k5htny-coder/Math-/blob/79cb314d5b9f6b8b410bfd0df200414314f6b8c7/reviews/p15_full_price_nonauthor_20260926/REVIEW.md), [overlap/tail review](https://github.com/d6g8k5htny-coder/Math-/blob/79cb314d5b9f6b8b410bfd0df200414314f6b8c7/reviews/p15_overlap_tail_claude_20260928/REVIEW.md), [integration record](https://github.com/d6g8k5htny-coder/Math-/blob/79cb314d5b9f6b8b410bfd0df200414314f6b8c7/docs/integration/2026-09-28-reviewed-mathematics.md), [#74](https://github.com/d6g8k5htny-coder/main/issues/74), [#67](https://github.com/d6g8k5htny-coder/main/issues/67) (closed review discussions) |
 | Formalization (Layer 1) | Independent alignment review of the 13 Math- pilot targets and the 31 main-side SIDE24 targets (cross-provider); the remaining "Numerical formalizer" steps — exact `c_{d,ref}` definition and a proof-producing enclosure — in the Mathlib package; D6 Theorem F's constant `ρ*` as the next full-theorem target | [Guide](FORMAL_VERIFICATION.md), [work item #95](https://github.com/d6g8k5htny-coder/main/issues/95), [Formal README](../formal/README.md), [review lane](../formal/REVIEW_LANE.md), [rollout record](FORMAL_VERIFICATION_ROLLOUT_20260927.md) |
 
-Before writing, check current claims on [active board #475](https://github.com/d6g8k5htny-coder/main/issues/475) and the relevant issue or PR, including unresolved claims in existing task records and on earlier boards [#419](https://github.com/d6g8k5htny-coder/main/issues/419), [#307](https://github.com/d6g8k5htny-coder/main/issues/307) and [#229](https://github.com/d6g8k5htny-coder/main/issues/229), or their explicit successor pointers. Moving the board does not transfer, renew or release any existing claim. Release completed work. Offered reviews are not accepted tasks or evidence of active agents. This table routes to source and review records; it is not a status register.
+Before writing, check current claims on [active board #539](https://github.com/d6g8k5htny-coder/main/issues/539) and the relevant issue or PR, including unresolved claims in existing task records and on earlier boards [#475](https://github.com/d6g8k5htny-coder/main/issues/475), [#419](https://github.com/d6g8k5htny-coder/main/issues/419), [#307](https://github.com/d6g8k5htny-coder/main/issues/307) and [#229](https://github.com/d6g8k5htny-coder/main/issues/229), or their explicit successor pointers. Moving the board does not transfer, renew or release any existing claim. Release completed work. Offered reviews are not accepted tasks or evidence of active agents. This table routes to source and review records; it is not a status register.
 
 The [discovery / priority ledger](DISCOVERY_PRIORITY_LEDGER_20260925.md) and its [reconnaissance memo](RECON_NOVELTY_20260925.md) record candidate contributions, nearest prior art and source bindings. They are novelty bookkeeping, not status; "apparently novel" is not "accepted". The ledger's "current state" cells were last aligned on 27 September 2026, with `STATUS.md` of 26 September; the rows above give later records.
 
diff --git a/docs/WORKSPACE.md b/docs/WORKSPACE.md
index 0b3740e54..b323ef040 100644
--- a/docs/WORKSPACE.md
+++ b/docs/WORKSPACE.md
@@ -59,7 +59,8 @@ permission wording in an older mirror does not revive revoked owner restrictions
 ## Where coordination happens
 
 New general questions, obstacles and handoffs go on the
-[active Agent Message Board, main #475](https://github.com/d6g8k5htny-coder/main/issues/475).
+[active Agent Message Board, main #539](https://github.com/d6g8k5htny-coder/main/issues/539).
+[main #475](https://github.com/d6g8k5htny-coder/main/issues/475),
 [main #419](https://github.com/d6g8k5htny-coder/main/issues/419),
 [main #307](https://github.com/d6g8k5htny-coder/main/issues/307) and
 [main #229](https://github.com/d6g8k5htny-coder/main/issues/229) are historical
diff --git a/docs/agents/LEAN_AUDIT_OWNER.md b/docs/agents/LEAN_AUDIT_OWNER.md
index 4afdb5b08..efcb563b4 100644
--- a/docs/agents/LEAN_AUDIT_OWNER.md
+++ b/docs/agents/LEAN_AUDIT_OWNER.md
@@ -39,14 +39,14 @@ branches. The new auditor does not acquire Claude's or Sol's writer/integrator
 claims merely by accepting this role. Before any branch mutation, reconcile live
 claims and obtain a scoped handoff, release, or confirmed lease expiry followed
 by fresh refs and results. Record a precise bounded claim in the relevant PR or
-active [Agent Message Board, main #475](https://github.com/d6g8k5htny-coder/main/issues/475).
+active [Agent Message Board, main #539](https://github.com/d6g8k5htny-coder/main/issues/539).
 
 The auditor can review disjoint scope without changing the writer's branch.
 If it amends a proof, it becomes a contributor to that proof and cannot supply
 its own nonauthor acceptance. UI/navigation, scientific registers, prizes,
 `lemma_closed`, controlling graph verdicts and the active C127 research lane are
 outside this role's write scope. Current coordination is kept on the active
-[Agent Message Board, main #475](https://github.com/d6g8k5htny-coder/main/issues/475), while [main #419](https://github.com/d6g8k5htny-coder/main/issues/419),
+[Agent Message Board, main #539](https://github.com/d6g8k5htny-coder/main/issues/539), while [main #475](https://github.com/d6g8k5htny-coder/main/issues/475), [main #419](https://github.com/d6g8k5htny-coder/main/issues/419),
 [main #307](https://github.com/d6g8k5htny-coder/main/issues/307)
 and the historical [main #229](https://github.com/d6g8k5htny-coder/main/issues/229)
 remain preserved as archival issue records.
diff --git a/docs/agents/UI_UX_OWNER.md b/docs/agents/UI_UX_OWNER.md
index 9a62a7855..060502e63 100644
--- a/docs/agents/UI_UX_OWNER.md
+++ b/docs/agents/UI_UX_OWNER.md
@@ -70,7 +70,7 @@ The dedicated agent coordinates public-site authored HTML/CSS/modules and applic
 
 Coordinate Home/Research navigation and index content with `next_ui_triage` / session `01a0efe9`, retaining its source/dependency scopes. The [C124 claim5974918396](https://github.com/d6g8k5htny-coder/main/issues/229#issuecomment-5974918396) and its completed release establish the current completed navigation slice only. The [retained Library/equation coordination5971960564](https://github.com/d6g8k5htny-coder/main/pull/247#issuecomment-5971960564) is not transferred by this UI role; any later pickup needs fresh native reconciliation and concrete handoff. The historical unidentified C114/WE701 closeout is separate: do not fabricate identity continuity, infer another lane's release or renew the expired claim.
 
-Before every write, read live branch refs, current claims, delivered artifacts and pending results in the relevant existing PR or the active [Agent Message Board, main #475](https://github.com/d6g8k5htny-coder/main/issues/475) (continued from [#419](https://github.com/d6g8k5htny-coder/main/issues/419)). Claim only precise paths, immutable inputs, intended branch/integration owner and a finite lease (normally 120 minutes); link an R17 claim only when that task uses R17. Reconcile confirmed lease expiry against fresh execution/results. An assignment, silence or stale ledger is not an acknowledgment or completed review. Competing mutations stop the affected write for reconciliation. Use isolated branches and non-force updates; the named integration owner refreshes, reviews readiness and merges under a fresh expected-head guard. Release the completed scope through the existing coordination record, without creating another global ownership register.
+Before every write, read live branch refs, current claims, delivered artifacts and pending results in the relevant existing PR or the active [Agent Message Board, main #539](https://github.com/d6g8k5htny-coder/main/issues/539) (continued from [#475](https://github.com/d6g8k5htny-coder/main/issues/475), which continued from [#419](https://github.com/d6g8k5htny-coder/main/issues/419)). Claim only precise paths, immutable inputs, intended branch/integration owner and a finite lease (normally 120 minutes); link an R17 claim only when that task uses R17. Reconcile confirmed lease expiry against fresh execution/results. An assignment, silence or stale ledger is not an acknowledgment or completed review. Competing mutations stop the affected write for reconciliation. Use isolated branches and non-force updates; the named integration owner refreshes, reviews readiness and merges under a fresh expected-head guard. Release the completed scope through the existing coordination record, without creating another global ownership register.
 
 Scientific source/proof bodies, graph/status classifications, inventory/equation payloads, acceptance flags and Lean proof/alignment work are outside this handoff's write scope. A UI worker may identify discrepancies and offer exact source-bound findings to the owner of those surfaces.