Pith Number

pith:5L374ZVS

pith:2006:5L374ZVSUUCAPJR7NANHWAEPMW

not attested not anchored not stored refs pending

Manin products, Koszul duality, Loday algebras and Deligne conjecture

Bruno Vallette

arxiv:math/0609002 v2 · 2006-08-31 · math.QA · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5L374ZVSUUCAPJR7NANHWAEPMW}

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	2026-05-18T04:25:26.333411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaf7fe66b2a50407a63f681a7b008f658f4e04827e7898afaabd3c81d719a40f

Aliases

arxiv: math/0609002 · arxiv_version: math/0609002v2 · doi: 10.48550/arxiv.math/0609002 · pith_short_12: 5L374ZVSUUCA · pith_short_16: 5L374ZVSUUCAPJR7 · pith_short_8: 5L374ZVS

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/5L374ZVSUUCAPJR7NANHWAEPMW \
  | 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: eaf7fe66b2a50407a63f681a7b008f658f4e04827e7898afaabd3c81d719a40f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "678fde270320d543e70da5b1cc22a66ec222d22fca667587e8e867b8405fb3d0",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2006-08-31T20:14:25Z",
    "title_canon_sha256": "61062dfa1215139b1ba59d764cbcce76a056e272ab0bcf19394699c4a923dfa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609002",
    "kind": "arxiv",
    "version": 2
  }
}