Pith Number

pith:IXK263RR

pith:2012:IXK263RRBXPBBWPPJZF2GJ44FN

not attested not anchored not stored refs pending

Control of McKean-Vlasov Dynamics versus Mean Field Games

Aime Lachapelle, Francois Delarue, Rene Carmona

arxiv:1210.5771 v1 · 2012-10-21 · 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{IXK263RRBXPBBWPPJZF2GJ44FN}

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	2026-05-18T03:42:43.076782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45d5af6e310dde10d9ef4e4ba3279c2b6d98afb51c46218f6ddbb8bd6059f7de

Aliases

arxiv: 1210.5771 · arxiv_version: 1210.5771v1 · doi: 10.48550/arxiv.1210.5771 · pith_short_12: IXK263RRBXPB · pith_short_16: IXK263RRBXPBBWPP · pith_short_8: IXK263RR

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/IXK263RRBXPBBWPPJZF2GJ44FN \
  | 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: 45d5af6e310dde10d9ef4e4ba3279c2b6d98afb51c46218f6ddbb8bd6059f7de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70d1b51ffcc2178bdfe802701d87cafd55a4a2278eeaff019320ac43b015c4a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-21T22:25:52Z",
    "title_canon_sha256": "d9f433623bb3eb4175f07ec0af4e733d7b49add06e9d5729d20d56fd5b348f6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5771",
    "kind": "arxiv",
    "version": 1
  }
}