Pith Number

pith:WDHFSILA

pith:2011:WDHFSILA5DY6AUMIWN35JG63CV

not attested not anchored not stored refs pending

A graph theoretical Gauss-Bonnet-Chern Theorem

Oliver Knill

arxiv:1111.5395 v1 · 2011-11-23 · math.DG · cs.CG · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WDHFSILA5DY6AUMIWN35JG63CV}

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.

Cited by

1 paper in Pith

The energy of a simplicial complex

Receipt and verification

First computed	2026-05-18T04:07:52.131094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0ce592160e8f1e05188b377d49bdb15471a77d75db5c729bf37a44b24324733

Aliases

arxiv: 1111.5395 · arxiv_version: 1111.5395v1 · doi: 10.48550/arxiv.1111.5395 · pith_short_12: WDHFSILA5DY6 · pith_short_16: WDHFSILA5DY6AUMI · pith_short_8: WDHFSILA

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/WDHFSILA5DY6AUMIWN35JG63CV \
  | 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: b0ce592160e8f1e05188b377d49bdb15471a77d75db5c729bf37a44b24324733

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e78a4014b081aacd7d314f8e3287eed6fce0a657add6b6885a9ec062f382093",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-11-23T03:31:59Z",
    "title_canon_sha256": "af9ec990b9ac0481883f0711b6f2afaf868c36da5616b3b3c6d0db7ab42851d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5395",
    "kind": "arxiv",
    "version": 1
  }
}