Historical mathematical material

Original source observation: 2026-10-22T01:14:09Z. Source commits are the original observation pins. Observation is not scientific revalidation.

main f3b27d3cae5c56c65c47187244073dd280b8a2cd · Math- 27606578e1e189c027552ec46835b3095dbfbea5

Original archived source and index references (original byte identities): Current status source (STATUS.md · Git blob 0be46963b4e62ae2f3fbc650b4dce902b1a9acca · 12345 bytes · SHA-256 c35de0d50d9f0b7df664d8f3b4c41d7ddcbfcc5ed251c31b309e9c3532fd7d75) · Current research guide (docs/RESEARCH_INDEX.md · Git blob 362c86d056a536fabee4204b3ad7fc9a078ddb6a · 67311 bytes · SHA-256 6033e6b58cd9a801bb23831a87623594dcf9994e80f02a5b89cf0a6c84505f57) · Current proof index (PROOF_INDEX.md · Git blob 6b406a44acff3005b1112e932b9f053324e96632 · 37988 bytes · SHA-256 4ad88f3e5e43a4caaada8124eade96114336b7c80ca5cbaeb2aab934f7862c58)

Coverage: mathematical-material-only. This compact projection retains the recorded graph, equation excerpts and their selected source and review file identities.

Versions record source material and archived index context. A changed version is not a new mathematical result, proof or scientific acceptance.

Current mathematical atlas · Historical graph, equation excerpts and selected sources · Exact historical mathematical projection. Scientific effect: NONE.

Immutable historical mathematical record · mathematical SHA-256 fccfde1380ab36d6710e8492fd84f0c606e9c0412c5b0425c138652436ba5968 · exact projection SHA-256 3b962afd9342b505766c4e0cffa66edf0ef33f7d645d33091a5bacbb76c6f8a0.

math.rn-fixed-annulus-window

Original kind: candidate · recorded classification: AUTHOR_SIDE_CANDIDATE.

Independent evidence metadata axes

source: recorded
review: recorded
kernel: not_recorded
computation: not_recorded
alignment: not_recorded

These values describe metadata presence, not a proof result, applicability or scientific acceptance. No kernel, computation or alignment record is admitted by this graph export.

Graph-to-artifact binding: unresolved; artifact roles: unknown; custody: unknown. No Artifact Index mapping is inferred.

Source and recorded review references

Source: frontiers/rn_thin_tube_20260925/FIXED_ANNULUS_CANDIDATE.md (complete document at its original pinned source revision; no document text was acquired into this page).

Review report: reviews/pr22_fixed_annulus_nonauthor_20260925/REVIEW.md (complete document at its original pinned source revision; no document text was acquired into this page).

Original node metadata

{
  "classification": "AUTHOR_SIDE_CANDIDATE",
  "controlling": false,
  "fingerprint": "081abc13c5e66342c13df2af2bd6b114f320486f",
  "kind": "candidate",
  "layer": "D5",
  "notes": "Source-bound xAI/Grok technical ACCEPT at exact scoped theorem only. No global D5/RN/JETMOD, k->0, d>=3, pin-neighborhood, intermediate-scale, collision, or elder-selection closure.",
  "review_disposition": "ACCEPT",
  "review_provider": "xAI/Grok via Cursor",
  "review_source": "reviews/pr22_fixed_annulus_nonauthor_20260925/REVIEW.md",
  "scientific_status_unchanged": true,
  "scope": "d=2; fixed L; fixed scaled annulus 1<A0<=|y|<=B0<infinity; compact positive gaps k_->0; all frames; between-pin height window",
  "source": "frontiers/rn_thin_tube_20260925/FIXED_ANNULUS_CANDIDATE.md"
}

Typed neighbors

Directions and relation labels are preserved from the selected graph snapshot.

Outgoing required

math.rn-count-interface · supplies_expected_count_on_reviewed_scoped_region · math.rn-fixed-annulus-window → math.rn-count-interface · required: true

Outgoing context

math.rn-region.fixed-annulus-window · covers_reviewed_subregion · math.rn-fixed-annulus-window → math.rn-region.fixed-annulus-window · required: false
regional.fixed-annulus.high-jet-route · regionally_supersedes_historical_high_jet_route · math.rn-fixed-annulus-window → regional.fixed-annulus.high-jet-route · required: false

Incoming required

None recorded.

Incoming context

None recorded.