Pith Number

pith:UQBONUXV

pith:2026:UQBONUXVS7UXJOTC242KDUZMQ4

not attested not anchored not stored refs pending

Incompressible Navier-Stokes limit of non-bilinear kinetic equations and application to the BGK, nonlinear Fokker-Planck and Boltzmann-Fermi-Dirac equations

Pierre Gervais

arxiv:2607.18939 v1 · 2026-07-21 · 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{UQBONUXVS7UXJOTC242KDUZMQ4}

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	2026-07-22T01:23:20.829942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a402e6d2f597e974ba62d734a1d32c871a700a36292044e3e2f8ca399f033231

Aliases

arxiv: 2607.18939 · arxiv_version: 2607.18939v1 · doi: 10.48550/arxiv.2607.18939 · pith_short_12: UQBONUXVS7UX · pith_short_16: UQBONUXVS7UXJOTC · pith_short_8: UQBONUXV

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/UQBONUXVS7UXJOTC242KDUZMQ4 \
  | 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: a402e6d2f597e974ba62d734a1d32c871a700a36292044e3e2f8ca399f033231

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3701da2c7dd418a8cc8ce95957925c597a3529a065d62cfd8dda834306a089a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-21T10:22:49Z",
    "title_canon_sha256": "fbc9173c3fb141fe0ee1cd8d86e6f60472b1371325b0473d9a58e27d6e386f4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18939",
    "kind": "arxiv",
    "version": 1
  }
}