Pith Number

pith:ENRENV5O

pith:2011:ENRENV5O3GVABCYEGWUDI3YKO3

not attested not anchored not stored refs pending

Consistency of vanishing smooth fictitious play

Mathieu Faure, Michel Bena\"im

arxiv:1105.1690 v2 · 2011-05-09 · math.PR · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ENRENV5O3GVABCYEGWUDI3YKO3}

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	2026-05-18T03:40:16.453675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

236246d7aed9aa008b0435a8346f0a76e6785764042c0aef6836d121bba7a17e

Aliases

arxiv: 1105.1690 · arxiv_version: 1105.1690v2 · doi: 10.48550/arxiv.1105.1690 · pith_short_12: ENRENV5O3GVA · pith_short_16: ENRENV5O3GVABCYE · pith_short_8: ENRENV5O

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/ENRENV5O3GVABCYEGWUDI3YKO3 \
  | 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: 236246d7aed9aa008b0435a8346f0a76e6785764042c0aef6836d121bba7a17e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "450c4bde820d58b85aa1da4c2526663f4b3b2be15705490b6e6e79c5181eb8e8",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-05-09T14:44:05Z",
    "title_canon_sha256": "f717328774879be75a6aaf009f62037b43ce650a12304705b640cd02ba874a3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1690",
    "kind": "arxiv",
    "version": 2
  }
}