Pith Number

pith:XGWAJG7F

pith:2011:XGWAJG7FXLOD5VPSZDWRERJH6U

not attested not anchored not stored refs pending

A compendium on the cluster algebra and quiver package in sage

Christian Stump, Gregg Musiker

arxiv:1102.4844 v2 · 2011-02-23 · 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{XGWAJG7FXLOD5VPSZDWRERJH6U}

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	2026-05-18T04:25:37.596186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9ac049be5badc3ed5f2c8ed124527f50991c71cdb4dd0080fb16ab72fd9ab46

Aliases

arxiv: 1102.4844 · arxiv_version: 1102.4844v2 · doi: 10.48550/arxiv.1102.4844 · pith_short_12: XGWAJG7FXLOD · pith_short_16: XGWAJG7FXLOD5VPS · pith_short_8: XGWAJG7F

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/XGWAJG7FXLOD5VPSZDWRERJH6U \
  | 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: b9ac049be5badc3ed5f2c8ed124527f50991c71cdb4dd0080fb16ab72fd9ab46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "798e7ddd474d2d0a373cbf85ac695bda3653b112b555ed4ebfab558f5c8eea93",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-02-23T20:59:15Z",
    "title_canon_sha256": "723c82600533b65c45f6fe112e432ed6f5b631ac8d1b55bc771b03b6f1dddb10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4844",
    "kind": "arxiv",
    "version": 2
  }
}