Pith Number

pith:3MT5XAXT

pith:2011:3MT5XAXTR57MI26TCXDE7NKXRS

not attested not anchored not stored refs pending

The Combinatorial Game Theory of Well-Tempered Scoring Games

Will Johnson

arxiv:1112.3610 v1 · 2011-12-15 · math.CO · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3MT5XAXTR57MI26TCXDE7NKXRS}

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	2026-05-18T04:06:18.161420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db27db82f38f7ec46bd315c64fb5578c892a8db1c7aa32435cbc5f3f01f06db0

Aliases

arxiv: 1112.3610 · arxiv_version: 1112.3610v1 · doi: 10.48550/arxiv.1112.3610 · pith_short_12: 3MT5XAXTR57M · pith_short_16: 3MT5XAXTR57MI26T · pith_short_8: 3MT5XAXT

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/3MT5XAXTR57MI26TCXDE7NKXRS \
  | 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: db27db82f38f7ec46bd315c64fb5578c892a8db1c7aa32435cbc5f3f01f06db0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e5f86b5b77f95d09bd89d5c12bb923a035f2b355e6cb57621ec58b5c8b77ff1",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-12-15T19:10:13Z",
    "title_canon_sha256": "f4e76c416235a540009a0b9f1db7e3478a91260be8ff1915896d71d90d08450c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3610",
    "kind": "arxiv",
    "version": 1
  }
}