Pith Number

pith:T6YDS4BU

pith:2012:T6YDS4BUJBK2PITJ4NKIEAHH53

not attested not anchored not stored refs pending

The $L^2-$Atiyah-Bott-Lefschetz theorem on manifolds with conical singularities. A heat kernel approach

Francesco Bei

arxiv:1211.2745 v3 · 2012-11-12 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T6YDS4BUJBK2PITJ4NKIEAHH53}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:25:46.332474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fb03970344855a7a269e3548200e7eef2edd7feccf107fa69bb07f0fe88a5ae

Aliases

arxiv: 1211.2745 · arxiv_version: 1211.2745v3 · doi: 10.48550/arxiv.1211.2745 · pith_short_12: T6YDS4BUJBK2 · pith_short_16: T6YDS4BUJBK2PITJ · pith_short_8: T6YDS4BU

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/T6YDS4BUJBK2PITJ4NKIEAHH53 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9fb03970344855a7a269e3548200e7eef2edd7feccf107fa69bb07f0fe88a5ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6db57aeaf6e96698fbb55e095eceb109078db4f291396f09e375ba97e99a07ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-11-12T19:23:00Z",
    "title_canon_sha256": "e218e6cb611257104c5b4b0b058f1f395dd962a4b29173d550788d2b8b7a63ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2745",
    "kind": "arxiv",
    "version": 3
  }
}