Pith Number

pith:7DNOP3OB

pith:2013:7DNOP3OBON3CRYUD7YSK2H76QE

not attested not anchored not stored refs pending

A Cheeger-Mueller theorem for symmetric bilinear torsions on manifolds with boundary

Guangxiang Su

arxiv:1312.1264 v2 · 2013-12-04 · 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{7DNOP3OBON3CRYUD7YSK2H76QE}

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	2026-05-18T03:02:20.137450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8dae7edc1737628e283fe24ad1ffe812e96fe37ac7d1fc7091ca19343b6667e

Aliases

arxiv: 1312.1264 · arxiv_version: 1312.1264v2 · doi: 10.48550/arxiv.1312.1264 · pith_short_12: 7DNOP3OBON3C · pith_short_16: 7DNOP3OBON3CRYUD · pith_short_8: 7DNOP3OB

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/7DNOP3OBON3CRYUD7YSK2H76QE \
  | 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: f8dae7edc1737628e283fe24ad1ffe812e96fe37ac7d1fc7091ca19343b6667e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97d75a819f0adb38eb21befed7eae678d5415f30211613e848b79c8d97e1521d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-12-04T18:08:55Z",
    "title_canon_sha256": "416f4d13dda1044c4333a1dfee55e6b6b6bd0354a489c4d3fe6de9ea277a5a72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1264",
    "kind": "arxiv",
    "version": 2
  }
}