Pith Number

pith:Z4DORLFV

pith:2014:Z4DORLFVDTR53Y2TUIW43MZNLI

not attested not anchored not stored refs pending

Mean field games with common noise

Daniel Lacker, Francois Delarue, Rene Carmona

arxiv:1407.6181 v2 · 2014-07-23 · 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{Z4DORLFVDTR53Y2TUIW43MZNLI}

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	2026-05-18T02:04:00.318617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf06e8acb51ce3dde353a22dcdb32d5a183dbb37e2cda5c0cbeeb7579972d5c5

Aliases

arxiv: 1407.6181 · arxiv_version: 1407.6181v2 · doi: 10.48550/arxiv.1407.6181 · pith_short_12: Z4DORLFVDTR5 · pith_short_16: Z4DORLFVDTR53Y2T · pith_short_8: Z4DORLFV

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/Z4DORLFVDTR53Y2TUIW43MZNLI \
  | 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: cf06e8acb51ce3dde353a22dcdb32d5a183dbb37e2cda5c0cbeeb7579972d5c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ca283d89b293b4daa2f3c7091404ee0b56a1761f31e388c3a53d10f0d5d18af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-07-23T11:46:06Z",
    "title_canon_sha256": "d295c3c7a513b26d93753df0e0aeb4710380fbc335d7e7f4190025886a69a1f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.6181",
    "kind": "arxiv",
    "version": 2
  }
}