Pith Number

pith:AL2H5W4W

pith:2015:AL2H5W4W7LKUZAJ2JE3M2D2EMH

not attested not anchored not stored refs pending

Maximal Green Sequences for Cluster Algebras Associated to the Orientable Surfaces of Genus n with Arbitrary Punctures

Eric Bucher, Matthew R. Mills

arxiv:1503.06207 v3 · 2015-03-20 · math.CO · math.QA · 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{AL2H5W4W7LKUZAJ2JE3M2D2EMH}

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	2026-05-18T01:31:53.153990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02f47edb96fad54c813a4936cd0f4461f7b6612fa796a359bdbf2a3f3431fa4f

Aliases

arxiv: 1503.06207 · arxiv_version: 1503.06207v3 · doi: 10.48550/arxiv.1503.06207 · pith_short_12: AL2H5W4W7LKU · pith_short_16: AL2H5W4W7LKUZAJ2 · pith_short_8: AL2H5W4W

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/AL2H5W4W7LKUZAJ2JE3M2D2EMH \
  | 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: 02f47edb96fad54c813a4936cd0f4461f7b6612fa796a359bdbf2a3f3431fa4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17a5d40502def90608e736de073155ec58760ec737af7a2a9ed456ceb4431c29",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-03-20T19:49:52Z",
    "title_canon_sha256": "6699c97396580a58884fb78199887297080b9d433292d9b017be5acfe448d85a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06207",
    "kind": "arxiv",
    "version": 3
  }
}