Pith Number

pith:CGHOLEWQ

pith:2011:CGHOLEWQKJS7O3HHBOWH7VR5CT

not attested not anchored not stored refs pending

Bases for cluster algebras from surfaces

Gregg Musiker, Lauren Williams, Ralf Schiffler

arxiv:1110.4364 v2 · 2011-10-19 · math.RT · 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{CGHOLEWQKJS7O3HHBOWH7VR5CT}

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	2026-05-17T23:53:19.173075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

118ee592d05265f76ce70bac7fd63d14d0c5e994fae24c490da72fa4f35c8b76

Aliases

arxiv: 1110.4364 · arxiv_version: 1110.4364v2 · doi: 10.48550/arxiv.1110.4364 · pith_short_12: CGHOLEWQKJS7 · pith_short_16: CGHOLEWQKJS7O3HH · pith_short_8: CGHOLEWQ

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/CGHOLEWQKJS7O3HHBOWH7VR5CT \
  | 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: 118ee592d05265f76ce70bac7fd63d14d0c5e994fae24c490da72fa4f35c8b76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b91f2ae326cd02cc82b60184ad490e0e441293d50216689d5ebcd08803bf1644",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-10-19T19:54:16Z",
    "title_canon_sha256": "0c27811f85394849d389c13be1f7776f42aeaa3dc53fc22aa8d6ac6ddcd1959f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4364",
    "kind": "arxiv",
    "version": 2
  }
}