Pith Number

pith:FBPM3RC5

pith:2018:FBPM3RC5X4O6SXGQT2E7UNM3V5

not attested not anchored not stored refs pending

The Navier-Stokes-Vlasov-Fokker-Planck system as a scaling limit of particles in a fluid

Cristiano Ricci, Franco Flandoli, Marta Leocata

arxiv:1811.07924 v1 · 2018-11-19 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FBPM3RC5X4O6SXGQT2E7UNM3V5}

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	2026-05-18T00:00:17.334258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

285ecdc45dbf1de95cd09e89fa359baf686d39bed42c3d2e4d051bb5123f2d8d

Aliases

arxiv: 1811.07924 · arxiv_version: 1811.07924v1 · doi: 10.48550/arxiv.1811.07924 · pith_short_12: FBPM3RC5X4O6 · pith_short_16: FBPM3RC5X4O6SXGQ · pith_short_8: FBPM3RC5

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/FBPM3RC5X4O6SXGQT2E7UNM3V5 \
  | 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: 285ecdc45dbf1de95cd09e89fa359baf686d39bed42c3d2e4d051bb5123f2d8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "378207b9265e2df9df21b22fb538129e6a9320d8e73e0c362983d8c2341d1920",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-11-19T19:02:41Z",
    "title_canon_sha256": "bac4a384635ce96688b80f21bc4658e3517523316b7d7b9a2d231f2db2076b55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.07924",
    "kind": "arxiv",
    "version": 1
  }
}