Pith Number

pith:GBOPAZED

pith:2006:GBOPAZEDID56LKCGVGMSFLJI2S

not attested not anchored not stored refs pending

Cluster algebras IV: Coefficients

Andrei Zelevinsky, Sergey Fomin

arxiv:math/0602259 v3 · 2006-02-12 · math.RA · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GBOPAZEDID56LKCGVGMSFLJI2S}

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	2026-07-04T14:53:24.070902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

305cf0648340fbe5a846a99922ad28d4883ef0ed2f701d1d6f150205bbfc8fbe

Aliases

arxiv: math/0602259 · arxiv_version: math/0602259v3 · doi: 10.48550/arxiv.math/0602259 · pith_short_12: GBOPAZEDID56 · pith_short_16: GBOPAZEDID56LKCG · pith_short_8: GBOPAZED

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/GBOPAZEDID56LKCGVGMSFLJI2S \
  | 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: 305cf0648340fbe5a846a99922ad28d4883ef0ed2f701d1d6f150205bbfc8fbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec2b8d7e75f45605618c52060a3392298f2517a87adc52454450a1070670b136",
    "cross_cats_sorted": [
      "math.CO",
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2006-02-12T19:22:53Z",
    "title_canon_sha256": "b150d8d265af1982949ab46b12472bebfb4009394d831b4bbcdbae8e7dfa7244"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0602259",
    "kind": "arxiv",
    "version": 3
  }
}