Pith Number

pith:PC46J23Z

pith:1999:PC46J23ZWLJS3QBEJUVNTVHODU

not attested not anchored not stored refs pending

Homotopy Gerstenhaber algebras

Alexander A. Voronov

arxiv:math/9908040 v5 · 1999-08-10 · math.QA · math.AT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PC46J23ZWLJS3QBEJUVNTVHODU}

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	2026-05-18T01:17:35.616944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78b9e4eb79b2d32dc0244d2ad9d4ee1d3cdae300c6d1f11ff3863101f0c39479

Aliases

arxiv: math/9908040 · arxiv_version: math/9908040v5 · doi: 10.48550/arxiv.math/9908040 · pith_short_12: PC46J23ZWLJS · pith_short_16: PC46J23ZWLJS3QBE · pith_short_8: PC46J23Z

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/PC46J23ZWLJS3QBEJUVNTVHODU \
  | 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: 78b9e4eb79b2d32dc0244d2ad9d4ee1d3cdae300c6d1f11ff3863101f0c39479

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "322f430630ab7e57cea58539c9516395f1db694c34ce09075d27c244d9f36f2b",
    "cross_cats_sorted": [
      "math.AT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "1999-08-10T15:40:05Z",
    "title_canon_sha256": "f007c523c4f10c39e15c4dccab377a83098368d424df553bf03517516dd0df68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9908040",
    "kind": "arxiv",
    "version": 5
  }
}