Pith Number

pith:5KXCJZX5

pith:2012:5KXCJZX5PTF4EXUQUXVORVCP5I

not attested not anchored not stored refs pending

An Efficient Optimal-Equilibrium Algorithm for Two-player Game Trees

Arjun Talwar, Martin Zinkevich, Michael L. Littman, Nishkam Ravi

arxiv:1206.6855 v1 · 2012-06-27 · 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{5KXCJZX5PTF4EXUQUXVORVCP5I}

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	2026-05-18T03:52:15.505179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaae24e6fd7ccbc25e90a5eae8d44fea380bef9e6f5808f74dba6059007dc006

Aliases

arxiv: 1206.6855 · arxiv_version: 1206.6855v1 · doi: 10.48550/arxiv.1206.6855 · pith_short_12: 5KXCJZX5PTF4 · pith_short_16: 5KXCJZX5PTF4EXUQ · pith_short_8: 5KXCJZX5

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/5KXCJZX5PTF4EXUQUXVORVCP5I \
  | 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: eaae24e6fd7ccbc25e90a5eae8d44fea380bef9e6f5808f74dba6059007dc006

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5640f0095003ec9450319e41f750fa91d6c23c06e53a42c314b7d24c3d6615ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2012-06-27T16:25:57Z",
    "title_canon_sha256": "3a0349ce4fa525a34f7e14f97b5eff40853bb9b60318b0608d6126c32a1299b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6855",
    "kind": "arxiv",
    "version": 1
  }
}