Pith Number

pith:JEZBJOVP

pith:2011:JEZBJOVPC4NOQTZLSBJ6X3FCYH

not attested not anchored not stored refs pending

Mean Field Games and Nonlinear Markov Processes

Jiajie Li, Vassili N. Kolokoltsov, Wei Yang

arxiv:1112.3744 v2 · 2011-12-16 · 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{JEZBJOVPC4NOQTZLSBJ6X3FCYH}

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	2026-05-18T03:58:26.202889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

493214baaf171ae84f2b9053ebeca2c1de756bbf5f89003d028348422dd7b444

Aliases

arxiv: 1112.3744 · arxiv_version: 1112.3744v2 · doi: 10.48550/arxiv.1112.3744 · pith_short_12: JEZBJOVPC4NO · pith_short_16: JEZBJOVPC4NOQTZL · pith_short_8: JEZBJOVP

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/JEZBJOVPC4NOQTZLSBJ6X3FCYH \
  | 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: 493214baaf171ae84f2b9053ebeca2c1de756bbf5f89003d028348422dd7b444

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c008574e96ff1622def9261823ecda733930e6aea4a45d3371d68300a00f1ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-16T09:40:49Z",
    "title_canon_sha256": "5d9c0badfaf2555b04e4f329bc409b55da76caea0fab11e2a975718d1604845b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3744",
    "kind": "arxiv",
    "version": 2
  }
}