Pith Number

pith:VCVJ3RWB

pith:2026:VCVJ3RWBSE5NBBPHAKYOJJ7NSX

not attested not anchored not stored refs pending

Mean-field games with rough common noise: the compactification approach

Erhan Bayraktar, Fengyi Yuan, Xiang Yu, Xihao He

arxiv:2602.22602 v2 · 2026-02-26 · math.PR

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VCVJ3RWBSE5NBBPHAKYOJJ7NSX}

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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.

Cited by

1 paper in Pith

Mean-field games with rough common noise: the linear-quadratic case

Receipt and verification

First computed	2026-05-20T00:03:06.796427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8aa9dc6c1913ad085e702b0e4a7ed95d317299e29c0d6508fd6ba9ba8de8f81

Aliases

arxiv: 2602.22602 · arxiv_version: 2602.22602v2 · doi: 10.48550/arxiv.2602.22602 · pith_short_12: VCVJ3RWBSE5N · pith_short_16: VCVJ3RWBSE5NBBPH · pith_short_8: VCVJ3RWB

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/VCVJ3RWBSE5NBBPHAKYOJJ7NSX \
  | 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: a8aa9dc6c1913ad085e702b0e4a7ed95d317299e29c0d6508fd6ba9ba8de8f81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb29d2bfce376c233127596e54b0ddf93135e07ea2484f7120a2cf600cb35de5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-02-26T04:17:37Z",
    "title_canon_sha256": "74c991d36370d64b7b670a237ff827aeda89da5e105ca6f23a40d8764ff9d9cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.22602",
    "kind": "arxiv",
    "version": 2
  }
}