Pith Number

pith:OACICZFF

pith:2013:OACICZFF5KTPIAUIZB3K64BFAQ

not attested not anchored not stored refs pending

The Gauss-Bonnet-Chern mass for graphic manifolds

Changwei Xiong, Haizhong Li, Yong Wei

arxiv:1304.6561 v1 · 2013-04-24 · 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{OACICZFF5KTPIAUIZB3K64BFAQ}

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	2026-05-18T00:45:22.842430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70048164a5eaa6f40288c876af702504254988a63328e5be7d9ed6224db61a89

Aliases

arxiv: 1304.6561 · arxiv_version: 1304.6561v1 · doi: 10.48550/arxiv.1304.6561 · pith_short_12: OACICZFF5KTP · pith_short_16: OACICZFF5KTPIAUI · pith_short_8: OACICZFF

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/OACICZFF5KTPIAUIZB3K64BFAQ \
  | 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: 70048164a5eaa6f40288c876af702504254988a63328e5be7d9ed6224db61a89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a310177b76bfe1d788fa4bd0d5332348afe0427c679e4e11224e8d5dc900cae1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-04-24T12:13:30Z",
    "title_canon_sha256": "11c1a961e1bdfcab9ab07046cadb25053e83471f68a14844e2ec3961f301bc53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6561",
    "kind": "arxiv",
    "version": 1
  }
}