Pith Number

pith:YOPCJUDX

pith:2001:YOPCJUDXJVSPNC2CEBD5THFCHH

not attested not anchored not stored refs pending

Computing Cocycles on Simplicial Complexes

Pedro Real, Rocio Gonzalez-Diaz

arxiv:math/0110314 v1 · 2001-10-30 · math.AT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YOPCJUDXJVSPNC2CEBD5THFCHH}

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	2026-05-18T04:21:51.948230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c39e24d0774d64f68b422047d99ca239c877bd663da34cde7771023da236b28a

Aliases

arxiv: math/0110314 · arxiv_version: math/0110314v1 · doi: 10.48550/arxiv.math/0110314 · pith_short_12: YOPCJUDXJVSP · pith_short_16: YOPCJUDXJVSPNC2C · pith_short_8: YOPCJUDX

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/YOPCJUDXJVSPNC2CEBD5THFCHH \
  | 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: c39e24d0774d64f68b422047d99ca239c877bd663da34cde7771023da236b28a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "915edb6835c8f7c2ebeb5c73b55364b2cb3c4cd55d931af2d297835c790af10c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2001-10-30T09:51:12Z",
    "title_canon_sha256": "34b35d858b7c8e91ff75e61b42c821d04f019f949ca3d9a9af8a3e8bb641fc2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0110314",
    "kind": "arxiv",
    "version": 1
  }
}