Pith Number

pith:JTJ6A7SZ

pith:2013:JTJ6A7SZ2ABLJPHEDUOMTH3WDL

not attested not anchored not stored refs pending

Empirical Centroid Fictitious Play: An Approach For Distributed Learning In Multi-Agent Games

Brian Swenson, Joao Xavier, Soummya Kar

arxiv:1304.4577 v2 · 2013-04-16 · math.OC · cs.GT · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JTJ6A7SZ2ABLJPHEDUOMTH3WDL}

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	2026-05-18T00:58:42.476494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cd3e07e59d002b4bce41d1cc99f761adf6c536a23f549bd817f003cd446031a

Aliases

arxiv: 1304.4577 · arxiv_version: 1304.4577v2 · doi: 10.48550/arxiv.1304.4577 · pith_short_12: JTJ6A7SZ2ABL · pith_short_16: JTJ6A7SZ2ABLJPHE · pith_short_8: JTJ6A7SZ

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/JTJ6A7SZ2ABLJPHEDUOMTH3WDL \
  | 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: 4cd3e07e59d002b4bce41d1cc99f761adf6c536a23f549bd817f003cd446031a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba53c85acae6ed34d829e7acc2990ff4c26271c098ca0d11683bb7d92ec8d1b8",
    "cross_cats_sorted": [
      "cs.GT",
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-04-16T19:51:39Z",
    "title_canon_sha256": "c2f6969caa4b0d6ecf89d1583541c1e16534020fbdab6b72009be63272df90e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4577",
    "kind": "arxiv",
    "version": 2
  }
}