Pith Number

pith:5HXPFYID

pith:2012:5HXPFYID5UGJ5PPHGTZE2A3WED

not attested not anchored not stored refs pending

From winning strategy to Nash equilibrium

St\'ephane Le Roux

arxiv:1203.1866 v4 · 2012-03-08 · math.LO · cs.FL · 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{5HXPFYID5UGJ5PPHGTZE2A3WED}

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	2026-05-18T02:52:23.857365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9eef2e103ed0c9ebde734f24d037620dc339a186f1f256d0b80dcf06fcae835

Aliases

arxiv: 1203.1866 · arxiv_version: 1203.1866v4 · doi: 10.48550/arxiv.1203.1866 · pith_short_12: 5HXPFYID5UGJ · pith_short_16: 5HXPFYID5UGJ5PPH · pith_short_8: 5HXPFYID

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/5HXPFYID5UGJ5PPHGTZE2A3WED \
  | 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: e9eef2e103ed0c9ebde734f24d037620dc339a186f1f256d0b80dcf06fcae835

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e78842340cbf0e9503562397af8048b6afc62569ff939bd576c2415cc35fb6da",
    "cross_cats_sorted": [
      "cs.FL",
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-03-08T17:54:43Z",
    "title_canon_sha256": "e0e414f5e1c295f249a82312db7f08fdcd96e3f65e5f997ff94ba17446183368"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1866",
    "kind": "arxiv",
    "version": 4
  }
}