Pith Number

pith:63XZM2S4

pith:2015:63XZM2S4PUH4BVQDWS6TW5UOQS

not attested not anchored not stored refs pending

A Computationally Efficient Implementation of Fictitious Play for Large-Scale Games

B. Swenson, J. Xavier, S. Kar

arxiv:1506.04320 v1 · 2015-06-13 · math.OC · cs.GT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{63XZM2S4PUH4BVQDWS6TW5UOQS}

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	2026-05-18T01:49:54.890901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6ef966a5c7d0fc0d603b4bd3b768e84913a6995a2b2fe63d726efb47bb7f599

Aliases

arxiv: 1506.04320 · arxiv_version: 1506.04320v1 · doi: 10.48550/arxiv.1506.04320 · pith_short_12: 63XZM2S4PUH4 · pith_short_16: 63XZM2S4PUH4BVQD · pith_short_8: 63XZM2S4

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/63XZM2S4PUH4BVQDWS6TW5UOQS \
  | 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: f6ef966a5c7d0fc0d603b4bd3b768e84913a6995a2b2fe63d726efb47bb7f599

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9527b49dad4ec221ba81552346f550289d006077dae43fdd092bb5bb4b64aa2b",
    "cross_cats_sorted": [
      "cs.GT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-06-13T20:32:45Z",
    "title_canon_sha256": "58781bc3c7fe3c277c7c89207496c572444fb9966efb731013c189785ff16285"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04320",
    "kind": "arxiv",
    "version": 1
  }
}