Pith Number

pith:A5EVN7IU

pith:2023:A5EVN7IUBTQIEDCCUSML4FYP5J

not attested not anchored not stored refs pending

Global Well-Posedness of First-Order Mean Field Games and Master Equations with Nonlinear Dynamics

Alain Bensoussan, Hongwei Yuan, Sheung Chi Phillip Yam, Tak Kwong Wong

arxiv:2311.11896 v1 · 2023-11-14 · math.OC · math.AP · math.DS · 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{A5EVN7IUBTQIEDCCUSML4FYP5J}

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.

Cited by

1 paper in Pith

On Mean Field Monotonicity Conditions from Control Theoretical Perspective

Receipt and verification

First computed	2026-07-05T07:23:09.554506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

074956fd140ce0820c42a498be170fea566549599877b0eb4ea25f50a115da2c

Aliases

arxiv: 2311.11896 · arxiv_version: 2311.11896v1 · doi: 10.48550/arxiv.2311.11896 · pith_short_12: A5EVN7IUBTQI · pith_short_16: A5EVN7IUBTQIEDCC · pith_short_8: A5EVN7IU

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/A5EVN7IUBTQIEDCCUSML4FYP5J \
  | 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: 074956fd140ce0820c42a498be170fea566549599877b0eb4ea25f50a115da2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b740a0e10280149890425144a7260c8c7488e19b63ea93aa4418dc506325623b",
    "cross_cats_sorted": [
      "math.AP",
      "math.DS",
      "math.PR"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-11-14T12:39:59Z",
    "title_canon_sha256": "e476220f0f636f31a5c097af4b7b8f48d365db8cdfe2cede37996a3328cacf8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.11896",
    "kind": "arxiv",
    "version": 1
  }
}