Pith Number

pith:T2Q4X6RO

pith:2011:T2Q4X6ROGWCDYPTEEEM6EGTOPU

not attested not anchored not stored refs pending

Matrix formulae and skein relations for cluster algebras from surfaces

Gregg Musiker, Lauren Williams

arxiv:1108.3382 v1 · 2011-08-17 · math.CO · math.GT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T2Q4X6ROGWCDYPTEEEM6EGTOPU}

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	2026-05-18T04:15:18.112892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ea1cbfa2e35843c3e642119e21a6e7d16d53d717c4adee53393c19b06ad8143

Aliases

arxiv: 1108.3382 · arxiv_version: 1108.3382v1 · doi: 10.48550/arxiv.1108.3382 · pith_short_12: T2Q4X6ROGWCD · pith_short_16: T2Q4X6ROGWCDYPTE · pith_short_8: T2Q4X6RO

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/T2Q4X6ROGWCDYPTEEEM6EGTOPU \
  | 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: 9ea1cbfa2e35843c3e642119e21a6e7d16d53d717c4adee53393c19b06ad8143

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20d16d304a06f5eb641a4d97d8508d78d0659ae6c17a49da095d27f50e9c4ecc",
    "cross_cats_sorted": [
      "math.GT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-08-17T02:13:19Z",
    "title_canon_sha256": "45bba2aacbef5d204b94b26890b0a677536ea924a1c2ebda9b6b7bf15ca6c2a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3382",
    "kind": "arxiv",
    "version": 1
  }
}