Pith Number

pith:SILCFMWA

pith:2025:SILCFMWAWE72Z4XT422TVCKKLB

not attested not anchored not stored refs pending

Aggregate Fictitious Play for Learning in Anonymous Polymatrix Games (Extended Version)

Semih Kara, Tamer Ba\c{s}ar

arxiv:2508.19371 v1 · 2025-08-26 · cs.GT · cs.LG · cs.MA · cs.SY · eess.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{SILCFMWAWE72Z4XT422TVCKKLB}

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	2026-07-05T11:59:44.264172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

921622b2c0b13facf2f3e6b53a894a5869e22cb604f98653928b354f92411b68

Aliases

arxiv: 2508.19371 · arxiv_version: 2508.19371v1 · doi: 10.48550/arxiv.2508.19371 · pith_short_12: SILCFMWAWE72 · pith_short_16: SILCFMWAWE72Z4XT · pith_short_8: SILCFMWA

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/SILCFMWAWE72Z4XT422TVCKKLB \
  | 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: 921622b2c0b13facf2f3e6b53a894a5869e22cb604f98653928b354f92411b68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d210e9ee1197e42144e484931eed99ca650a1919025b209c7cc5b1c821a2ec7",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.MA",
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2025-08-26T19:04:58Z",
    "title_canon_sha256": "dafaed5441bf2e4bb5a6500221e06e1a4eee2489069daa70b2cef4ccff2b4a87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.19371",
    "kind": "arxiv",
    "version": 1
  }
}