Pith Number

pith:4VLFDC2I

pith:2011:4VLFDC2IBA4YRKCMVY272GC35S

not attested not anchored not stored refs pending

On the Approximation Performance of Fictitious Play in Finite Games

Carmine Ventre, Paul W. Goldberg, Rahul Savani, Troels Bjerre Sorensen

arxiv:1103.1040 v2 · 2011-03-05 · 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{4VLFDC2IBA4YRKCMVY272GC35S}

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	2026-05-18T04:26:22.520688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e556518b48083988a84cae35fd185becbce598f38fb779f7a3cd1ecf4bcaf024

Aliases

arxiv: 1103.1040 · arxiv_version: 1103.1040v2 · doi: 10.48550/arxiv.1103.1040 · pith_short_12: 4VLFDC2IBA4Y · pith_short_16: 4VLFDC2IBA4YRKCM · pith_short_8: 4VLFDC2I

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/4VLFDC2IBA4YRKCMVY272GC35S \
  | 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: e556518b48083988a84cae35fd185becbce598f38fb779f7a3cd1ecf4bcaf024

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a853f57fa609a0bf44b4e633cf3cccd70619ca54f21c3b1222b17f4b11b86786",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2011-03-05T10:37:48Z",
    "title_canon_sha256": "528a7d42d0d2053d8e5bc02f3c39e6022bbcd30e94726ee8c8d63e10267f947f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1040",
    "kind": "arxiv",
    "version": 2
  }
}