Pith Number

pith:5CPZXXOY

pith:2020:5CPZXXOYFQ22XBAV3USOG6LIRT

not attested not anchored not stored refs pending

Surface cluster algebra expansion formulae via loop graphs

Jon Wilson

arxiv:2006.13218 v3 · 2020-06-23 · 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{5CPZXXOYFQ22XBAV3USOG6LIRT}

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

Unimodality and Cluster Algebras from Surfaces

Receipt and verification

First computed	2026-06-02T02:04:44.419436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e89f9bddd82c35ab8415dd24e379688cc035a20027192dab40505c2baf02643d

Aliases

arxiv: 2006.13218 · arxiv_version: 2006.13218v3 · doi: 10.48550/arxiv.2006.13218 · pith_short_12: 5CPZXXOYFQ22 · pith_short_16: 5CPZXXOYFQ22XBAV · pith_short_8: 5CPZXXOY

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/5CPZXXOYFQ22XBAV3USOG6LIRT \
  | 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: e89f9bddd82c35ab8415dd24e379688cc035a20027192dab40505c2baf02643d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00c28f43362e5337eb9aab2a41cf74b9af3459d9d4bed94e070a71f7edba3299",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-06-23T22:38:10Z",
    "title_canon_sha256": "8154e12e78a4972fb26e40b3e36a0e85417ce9787871a0a3509abecd72a4bbbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.13218",
    "kind": "arxiv",
    "version": 3
  }
}