Pith Number

pith:YWB2LVQA

pith:2000:YWB2LVQAWXHDAQLI4ZXUQF4ZXK

not attested not anchored not stored refs pending

Noncommutative algebras associated to complexes and graphs

Israel Gelfand, Sergei Gelfand, Vladimir Retakh

arxiv:math/0008090 v1 · 2000-08-11 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YWB2LVQAWXHDAQLI4ZXUQF4ZXK}

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	2026-07-04T14:34:38.719159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c583a5d600b5ce304168e66f481799baaa3489998163037f1b64395575f0b955

Aliases

arxiv: math/0008090 · arxiv_version: math/0008090v1 · doi: 10.48550/arxiv.math/0008090 · pith_short_12: YWB2LVQAWXHD · pith_short_16: YWB2LVQAWXHDAQLI · pith_short_8: YWB2LVQA

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/YWB2LVQAWXHDAQLI4ZXUQF4ZXK \
  | 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: c583a5d600b5ce304168e66f481799baaa3489998163037f1b64395575f0b955

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4fde633e28b09ca605d955d5c29db7175dc8264c5b0d182e6df76dd931690fd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2000-08-11T22:20:00Z",
    "title_canon_sha256": "bd8df1c0e56d39f8b6a4f9793e38f39ef1baadb8e2682d945f2e13ca261ee2b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0008090",
    "kind": "arxiv",
    "version": 1
  }
}