Pith Number

pith:TAKWCBW7

pith:2013:TAKWCBW7XTAJVZBPFHMXXZ3RM4

not attested not anchored not stored refs pending

Edge Contractions and Simplicial Homology

Anil N. Hirani, Bala Krishnamoorthy, Gavin Smith, Tamal K. Dey

arxiv:1304.0664 v1 · 2013-04-02 · cs.CG · 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{TAKWCBW7XTAJVZBPFHMXXZ3RM4}

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	2026-05-18T03:29:14.689187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98156106dfbcc09ae42f29d97be7716737a1ccea2294a39f0c2e2d18ed0f8bb0

Aliases

arxiv: 1304.0664 · arxiv_version: 1304.0664v1 · doi: 10.48550/arxiv.1304.0664 · pith_short_12: TAKWCBW7XTAJ · pith_short_16: TAKWCBW7XTAJVZBP · pith_short_8: TAKWCBW7

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/TAKWCBW7XTAJVZBPFHMXXZ3RM4 \
  | 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: 98156106dfbcc09ae42f29d97be7716737a1ccea2294a39f0c2e2d18ed0f8bb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09753c3ec19fb953bc9a80d0311ad6c932f61ee5a5f052ae6af38833b066e79d",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2013-04-02T15:28:36Z",
    "title_canon_sha256": "ea7318a192fe1610e3f568c1bd9ac2c45a9a79e514462cbad65f39f689c68e78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0664",
    "kind": "arxiv",
    "version": 1
  }
}