Pith Number

pith:5H2G6J2F

pith:2010:5H2G6J2FMDQXQJCXVZYMJN42F6

not attested not anchored not stored refs pending

Defining and Computing Topological Persistence for 1-cocycles

Dan Burghelea, Du Dong, Tamal K. Dey

arxiv:1012.3763 v2 · 2010-12-16 · math.AT · cs.CG · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5H2G6J2FMDQXQJCXVZYMJN42F6}

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	2026-05-18T02:23:07.026650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9f46f274560e1782457ae70c4b79a2f9b336424b5bceea45b422af8baf133c6

Aliases

arxiv: 1012.3763 · arxiv_version: 1012.3763v2 · doi: 10.48550/arxiv.1012.3763 · pith_short_12: 5H2G6J2FMDQX · pith_short_16: 5H2G6J2FMDQXQJCX · pith_short_8: 5H2G6J2F

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/5H2G6J2FMDQXQJCXVZYMJN42F6 \
  | 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: e9f46f274560e1782457ae70c4b79a2f9b336424b5bceea45b422af8baf133c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3117bd56dd2a7f38ca994ca10c9413d1e66e464588a58b27f89167a1998fd95",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-12-16T21:43:19Z",
    "title_canon_sha256": "b89492cc9c3d86aa02019b9f5e7403ce12a38cab1ebafedb1558951e24bba5e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3763",
    "kind": "arxiv",
    "version": 2
  }
}