Pith Number

pith:IJQHWEQX

pith:2016:IJQHWEQXXX6NSKILBY6PXAMFF6

not attested not anchored not stored refs pending

A Derivation of the Vlasov-Navier-Stokes Model for Aerosol Flows from Kinetic Theory

Etienne Bernard, Fran\c{c}ois Golse, Laurent Desvillettes, Valeria Ricci

arxiv:1608.00422 v1 · 2016-08-01 · 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{IJQHWEQXXX6NSKILBY6PXAMFF6}

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	2026-05-18T00:40:13.815685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42607b1217bdfcd9290b0e3cfb81852f87d14ee7f8ecddf50a1fbfa8274721f6

Aliases

arxiv: 1608.00422 · arxiv_version: 1608.00422v1 · doi: 10.48550/arxiv.1608.00422 · pith_short_12: IJQHWEQXXX6N · pith_short_16: IJQHWEQXXX6NSKIL · pith_short_8: IJQHWEQX

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/IJQHWEQXXX6NSKILBY6PXAMFF6 \
  | 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: 42607b1217bdfcd9290b0e3cfb81852f87d14ee7f8ecddf50a1fbfa8274721f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80842df6cf6257507ceca7b483fd780579931352f134a0d2260d41e67399550d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-08-01T13:34:59Z",
    "title_canon_sha256": "4145d25e9c0ef1f14ad105dd629b3a6c6e4e2fd87260ca303f44716fc6a87c9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00422",
    "kind": "arxiv",
    "version": 1
  }
}