Historical mathematical material
Original source observation: . Source commits are the original observation pins. Observation is not scientific revalidation.
main 3dc63c7d9e56fd91b107beb47d03a5d9361faba7 · Math- 19a55750451b8016b50d1d20be6a18c021807ecb
Original archived source and index references (original byte identities): Current status source (STATUS.md · Git blob aa5e806fe6a9a71ed994a0f12e92125558880dc8 · 19407 bytes · SHA-256 ca34f5fc91ee234fecaf16ddd06e34904ffe773810213432c03d5df7c7c6971b) · Current research guide (docs/RESEARCH_INDEX.md · Git blob 4420e14472456fd90f681c1dcba61b125b01788f · 67837 bytes · SHA-256 c1a418f4ec30908e05ed78c993d2c25e8af1c7e021b290bc374d48387b00d8c5) · 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 5d1bfc9b10db25c3dcdcbf21a410aa0bc3d62e97c91a9bebbfde4f2fb65a4724 · exact projection SHA-256 43f3953b279cc751ad5b2e58a3cf834b2a7f66c37e119d5392263d565aa877e4.
math.rn-region.mesoscopic-scaled-annulus
Original kind: region · recorded classification: PROVED_REVIEWED.
Independent evidence metadata axes
- source
not_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 metadata: not_recorded.
Review report: reviews/d5_reconciliation_20260929/RECONCILIATION.md (complete document at its original pinned source revision; no document text was acquired into this page).
Original node metadata
{
"classification": "PROVED_REVIEWED",
"controlling": false,
"fingerprint": "x=r y with A<=|y|<=B away from pins",
"kind": "region",
"layer": "D5",
"notes": "Reviewed only at D5-d with R >= B (covers the reviewed fixed annulus); see the complete D5 reconciliation reading rule. No d>2, numerical, elder-selection, JETMOD, or witness-collision closure.",
"reading_rule": [
"math.d5-component.punctured-pin-proof",
"math.d5-component.punctured-pin-review-111",
"math.d5-component.punctured-pin-continuum-review",
"math.d5-component.punctured-pin-continuum-check",
"math.d5-component.collar-proof",
"math.d5-component.collar-review",
"math.d5-component.annulus-proof",
"math.d5-component.annulus-review"
],
"review_disposition": "ACCEPT_AT_STATED_SCOPE",
"review_source": "reviews/d5_reconciliation_20260929/RECONCILIATION.md",
"scope": "D5-d with R >= B (covers the reviewed fixed annulus)"
}
Typed neighbors
Directions and relation labels are preserved from the selected graph snapshot.
Outgoing required
- math.d5-component.punctured-pin-proof ·
requires_evidence·math.rn-region.mesoscopic-scaled-annulus → math.d5-component.punctured-pin-proof· required:true - math.d5-component.punctured-pin-review-111 ·
requires_evidence·math.rn-region.mesoscopic-scaled-annulus → math.d5-component.punctured-pin-review-111· required:true - math.d5-component.punctured-pin-continuum-review ·
requires_evidence·math.rn-region.mesoscopic-scaled-annulus → math.d5-component.punctured-pin-continuum-review· required:true - math.d5-component.punctured-pin-continuum-check ·
requires_evidence·math.rn-region.mesoscopic-scaled-annulus → math.d5-component.punctured-pin-continuum-check· required:true - math.d5-component.collar-proof ·
requires_evidence·math.rn-region.mesoscopic-scaled-annulus → math.d5-component.collar-proof· required:true - math.d5-component.collar-review ·
requires_evidence·math.rn-region.mesoscopic-scaled-annulus → math.d5-component.collar-review· required:true - math.d5-component.annulus-proof ·
requires_evidence·math.rn-region.mesoscopic-scaled-annulus → math.d5-component.annulus-proof· required:true - math.d5-component.annulus-review ·
requires_evidence·math.rn-region.mesoscopic-scaled-annulus → math.d5-component.annulus-review· required:true
Outgoing context
None recorded.
Incoming required
None recorded.
Incoming context
- math.rn-mesoscopic-reduction ·
targets_region·math.rn-mesoscopic-reduction → math.rn-region.mesoscopic-scaled-annulus· required:false