Pith Number

pith:4M3H7UTM

pith:2002:4M3H7UTM6IKBPD7RJF3TD23OBB

not attested not anchored not stored refs pending

Cubical abelian groups with connections are equivalent to chain complexes

Philip J. Higgins, R. Brown

arxiv:math/0212157 v1 · 2002-12-11 · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4M3H7UTM6IKBPD7RJF3TD23OBB}

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	2026-05-18T01:05:29.198007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3367fd26cf214178ff1497731eb6e084048038cc8bf99095787c20f7defc689

Aliases

arxiv: math/0212157 · arxiv_version: math/0212157v1 · doi: 10.48550/arxiv.math/0212157 · pith_short_12: 4M3H7UTM6IKB · pith_short_16: 4M3H7UTM6IKBPD7R · pith_short_8: 4M3H7UTM

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/4M3H7UTM6IKBPD7RJF3TD23OBB \
  | 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: e3367fd26cf214178ff1497731eb6e084048038cc8bf99095787c20f7defc689

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fa091fd260c7390e620136ba5b840fb8ec0bd90b05da7e913a6a488b48c4503",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2002-12-11T17:20:10Z",
    "title_canon_sha256": "4b31baedd5155a6e7dfe4d1022b39648e66055480acb93f66f71e3b9659957b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0212157",
    "kind": "arxiv",
    "version": 1
  }
}