Pith Number

pith:JCYUGDOR

pith:2018:JCYUGDORBOWW4EZ3VCSDJ6FC5Y

not attested not anchored not stored refs pending

The Vlasov-Navier-Stokes equations as a mean field limit

Cristiano Ricci, Franco Flandoli, Marta Leocata

arxiv:1804.06420 v2 · 2018-04-17 · 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{JCYUGDORBOWW4EZ3VCSDJ6FC5Y}

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	2026-05-18T00:09:35.689235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48b1430dd10bad6e133ba8a434f8a2ee0e1b66f96a33bffee1aae874d584a748

Aliases

arxiv: 1804.06420 · arxiv_version: 1804.06420v2 · doi: 10.48550/arxiv.1804.06420 · pith_short_12: JCYUGDORBOWW · pith_short_16: JCYUGDORBOWW4EZ3 · pith_short_8: JCYUGDOR

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/JCYUGDORBOWW4EZ3VCSDJ6FC5Y \
  | 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: 48b1430dd10bad6e133ba8a434f8a2ee0e1b66f96a33bffee1aae874d584a748

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "241fa2ca77cadd225b55845b23ec42b1be9fc23a0e2b30cbcc093b66d19ec94f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-04-17T18:18:10Z",
    "title_canon_sha256": "ada445df9ac0b096d999130f2dd3741e25439d315469a1e40605f8eaa1fc27d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.06420",
    "kind": "arxiv",
    "version": 2
  }
}