Pith Number

pith:2UYPG7FG

pith:2011:2UYPG7FGXRAGCTM3TOCKENUYHH

not attested not anchored not stored refs pending

Erratum to: Lattice point methods for combinatorial games

Alan Guo, Ezra Miller

arxiv:1105.5420 v1 · 2011-05-26 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2UYPG7FGXRAGCTM3TOCKENUYHH}

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	2026-05-18T04:21:11.850237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d530f37ca6bc40614d9b9b84a2369839d89ba6c2f51193b635c568a7002f2930

Aliases

arxiv: 1105.5420 · arxiv_version: 1105.5420v1 · doi: 10.48550/arxiv.1105.5420 · pith_short_12: 2UYPG7FGXRAG · pith_short_16: 2UYPG7FGXRAGCTM3 · pith_short_8: 2UYPG7FG

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/2UYPG7FGXRAGCTM3TOCKENUYHH \
  | 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: d530f37ca6bc40614d9b9b84a2369839d89ba6c2f51193b635c568a7002f2930

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a29b525a9bcebed7180284abe4b3ed91da227f6885600ca1fa55bcee2bc6eb8",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-05-26T22:15:46Z",
    "title_canon_sha256": "cd55ec91e5fb36a950387c19fd102c2140e32fdae936d535d3757a33698548e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5420",
    "kind": "arxiv",
    "version": 1
  }
}