Pith Number

pith:PZNXT44L

pith:2025:PZNXT44LCIIGGNMVM2DFIKHQVB

not attested not anchored not stored refs pending

Homogenization of Multi-agent Learning Dynamics in Finite-state Markov Games

Yann Kerzreho (ENS Paris Saclay)

arxiv:2506.21079 v1 · 2025-06-26 · stat.ML · cs.LG · 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{PZNXT44LCIIGGNMVM2DFIKHQVB}

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	2026-07-05T11:27:39.740076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e5b79f38b121063359566865428f0a84fd1d89ff4db3d1232d84bad8b269ddd

Aliases

arxiv: 2506.21079 · arxiv_version: 2506.21079v1 · doi: 10.48550/arxiv.2506.21079 · pith_short_12: PZNXT44LCIIG · pith_short_16: PZNXT44LCIIGGNMV · pith_short_8: PZNXT44L

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/PZNXT44LCIIGGNMVM2DFIKHQVB \
  | 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: 7e5b79f38b121063359566865428f0a84fd1d89ff4db3d1232d84bad8b269ddd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eace025d469e2c3d622c67355375cbe36f2ecaebd68e874a4852af475a9b31ee",
    "cross_cats_sorted": [
      "cs.LG",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2025-06-26T08:08:49Z",
    "title_canon_sha256": "b8e2bbb4fa9055ee653be5cd80c53070c8e0ff1139bb15502c04079ccd7d0479"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.21079",
    "kind": "arxiv",
    "version": 1
  }
}