Pith Number

pith:JYRNBOGD

pith:2001:JYRNBOGDTF73LOFG56WMHE4BOH

not attested not anchored not stored refs pending

Cluster algebras I: Foundations

Andrei Zelevinsky, Sergey Fomin

arxiv:math/0104151 v1 · 2001-04-13 · math.RT · math.AG · 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{JYRNBOGDTF73LOFG56WMHE4BOH}

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.

Cited by

1 paper in Pith

Spectral Networks: Bridging higher-rank Teichm\"uller theory and BPS states

Receipt and verification

First computed	2026-07-04T14:35:17.679411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e22d0b8c3997fb5b8a6efacc3938171e18b8bd48dea6b270cf5e14c7b77fe07

Aliases

arxiv: math/0104151 · arxiv_version: math/0104151v1 · doi: 10.48550/arxiv.math/0104151 · pith_short_12: JYRNBOGDTF73 · pith_short_16: JYRNBOGDTF73LOFG · pith_short_8: JYRNBOGD

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/JYRNBOGDTF73LOFG56WMHE4BOH \
  | 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: 4e22d0b8c3997fb5b8a6efacc3938171e18b8bd48dea6b270cf5e14c7b77fe07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13b48626abb0e4a7494241135ea8cc78cba6aa430e7019f52f1b982173c9609a",
    "cross_cats_sorted": [
      "math.AG",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2001-04-13T18:51:46Z",
    "title_canon_sha256": "a71fabd239780b1a339770f421ac3f0388632d76e2b0a59a29e6320d415be42b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0104151",
    "kind": "arxiv",
    "version": 1
  }
}