Pith Number

pith:2NSTNYGQ

pith:2013:2NSTNYGQQNNASQ3WBOFFZUHCQ4

not attested not anchored not stored refs pending

A simple proof of the Gauss-Bonnet-Chern formula for Finsler manifolds

Wei Zhao

arxiv:1303.1918 v3 · 2013-03-08 · 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{2NSTNYGQQNNASQ3WBOFFZUHCQ4}

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	2026-05-18T03:05:18.646442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d36536e0d0835a0943760b8a5cd0e28719fcf1e3a5768f6f4b7165e83a751e2a

Aliases

arxiv: 1303.1918 · arxiv_version: 1303.1918v3 · doi: 10.48550/arxiv.1303.1918 · pith_short_12: 2NSTNYGQQNNA · pith_short_16: 2NSTNYGQQNNASQ3W · pith_short_8: 2NSTNYGQ

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/2NSTNYGQQNNASQ3WBOFFZUHCQ4 \
  | 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: d36536e0d0835a0943760b8a5cd0e28719fcf1e3a5768f6f4b7165e83a751e2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b06fdfef3d3a14a08a8864245070371b8d136fb4e7e970d02b68ff917338f28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-03-08T09:27:40Z",
    "title_canon_sha256": "93e93c67a755c6c6e35694bb3435c38403d9abac0e356740833c957daebc546e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1918",
    "kind": "arxiv",
    "version": 3
  }
}