Pith Number

pith:VDDPEW2N

pith:2014:VDDPEW2NO4NI5GEHPB3ICWYMCX

not attested not anchored not stored refs pending

A Probabilistic approach to classical solutions of the master equation for large population equilibria

Dan Crisan, Fran\c{c}ois Delarue, Jean-Fran\c{c}ois Chassagneux

arxiv:1411.3009 v2 · 2014-11-11 · math.PR · math.AP · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VDDPEW2NO4NI5GEHPB3ICWYMCX}

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	2026-05-18T02:18:13.477834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8c6f25b4d771a8e98877876815b0c15d8c9fc790058393115934fe48173e3ec

Aliases

arxiv: 1411.3009 · arxiv_version: 1411.3009v2 · doi: 10.48550/arxiv.1411.3009 · pith_short_12: VDDPEW2NO4NI · pith_short_16: VDDPEW2NO4NI5GEH · pith_short_8: VDDPEW2N

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/VDDPEW2NO4NI5GEHPB3ICWYMCX \
  | 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: a8c6f25b4d771a8e98877876815b0c15d8c9fc790058393115934fe48173e3ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b262db7883d3425b2d9d98d116d3f31cd4f90e000d15974aebf29b939e993d4",
    "cross_cats_sorted": [
      "math.AP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-11-11T22:49:09Z",
    "title_canon_sha256": "13fe2d60fbf8ec1004710f27dfb4ba6d78a7e3b005de1368237a3cd5ddc0d221"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3009",
    "kind": "arxiv",
    "version": 2
  }
}