Pith Number

pith:VEN5R5XX

pith:2024:VEN5R5XXR7GLGOOCOUDAFFH2ID

not attested not anchored not stored refs pending

On the convergence of fictitious play algorithm in repeated games via the geometrical approach

Xiaoguang Yang, Yifen Mu, Zhouming Wu

arxiv:2412.19216 v2 · 2024-12-26 · 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{VEN5R5XXR7GLGOOCOUDAFFH2ID}

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	2026-07-05T09:55:16.180375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a91bd8f6f78fccb339c275060294fa40ec21e5f01dc3e6c3b404fcaca7e1f012

Aliases

arxiv: 2412.19216 · arxiv_version: 2412.19216v2 · doi: 10.48550/arxiv.2412.19216 · pith_short_12: VEN5R5XXR7GL · pith_short_16: VEN5R5XXR7GLGOOC · pith_short_8: VEN5R5XX

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/VEN5R5XXR7GLGOOCOUDAFFH2ID \
  | 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: a91bd8f6f78fccb339c275060294fa40ec21e5f01dc3e6c3b404fcaca7e1f012

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "079c655a3518f55a525ff52674f599f72ca7759e2d4500c1da7304b6fbc73569",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-12-26T13:42:58Z",
    "title_canon_sha256": "26b032750e41ff4c1a9e08075475aa623d454cdc6dd33806802ddad25f220f7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.19216",
    "kind": "arxiv",
    "version": 2
  }
}