Pith Number

pith:I3ZWN27U

pith:2011:I3ZWN27UQ2IBYWXWNCDKZSKJHM

not attested not anchored not stored refs pending

Greedy Galois Games

Aaron M. Dutle, Joshua N. Cooper

arxiv:1110.1137 v1 · 2011-10-06 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I3ZWN27UQ2IBYWXWNCDKZSKJHM}

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	2026-05-18T04:11:39.165540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46f366ebf486901c5af66886acc9493b285defd67140361dc5357113911483f1

Aliases

arxiv: 1110.1137 · arxiv_version: 1110.1137v1 · doi: 10.48550/arxiv.1110.1137 · pith_short_12: I3ZWN27UQ2IB · pith_short_16: I3ZWN27UQ2IBYWXW · pith_short_8: I3ZWN27U

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/I3ZWN27UQ2IBYWXWNCDKZSKJHM \
  | 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: 46f366ebf486901c5af66886acc9493b285defd67140361dc5357113911483f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ff4043867a4c40898fb5b0f11eae487f99c632881023423fe19da299e4897e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-10-06T02:35:39Z",
    "title_canon_sha256": "ee61b7e3c2b36cfaea676f981204b9c27f5cd6c9e5ba80b477fddf89c202ad57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1137",
    "kind": "arxiv",
    "version": 1
  }
}