Pith Number

pith:Y6QAZDUQ

pith:2005:Y6QAZDUQ4RXAWC56TBCB5BSYAO

not attested not anchored not stored refs pending

On a class of Koszul algebras associated to directed graphs

Robert Lee Wilson, Shirlei Serconek, Vladimir Retakh

arxiv:math/0508303 v1 · 2005-08-16 · math.QA · 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{Y6QAZDUQ4RXAWC56TBCB5BSYAO}

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	2026-07-04T14:40:18.538235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7a00c8e90e46e0b0bbe98441e865803a6338bafbc73a38a0a4ff6e11407690d

Aliases

arxiv: math/0508303 · arxiv_version: math/0508303v1 · doi: 10.48550/arxiv.math/0508303 · pith_short_12: Y6QAZDUQ4RXA · pith_short_16: Y6QAZDUQ4RXAWC56 · pith_short_8: Y6QAZDUQ

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/Y6QAZDUQ4RXAWC56TBCB5BSYAO \
  | 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: c7a00c8e90e46e0b0bbe98441e865803a6338bafbc73a38a0a4ff6e11407690d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "022189a108ac0fe2a7d609e861140746d724438c3f3a0ceefcd284ad74c5dc40",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2005-08-16T19:34:56Z",
    "title_canon_sha256": "95f7519a8d919ef12ac0f4d8b7c0f33f477e56ef5994f0cc17a3dbfeb654f800"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0508303",
    "kind": "arxiv",
    "version": 1
  }
}