Current research sources

Pinned source observation: 2026-10-15T00:25:59Z. Compare this timestamp with the present time; observation is not scientific revalidation.

main 4f600d9dc0441113568483fb3c34533b4be7440e · Math- 6e502c1f8a5632eb90670fd9fc0d52e421c015a2

Current status source · Current research guide · Current proof index

Current mathematical atlas · Current static graph and complete source inventory · Exact current source observation payload. Scientific effect: NONE.

Historical mathematical material (original pins and observation).

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 the pinned source revision; no document text was acquired into this page).

Review report: reviews/pr22_fixed_annulus_nonauthor_20260925/REVIEW.md (complete document at the 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.