Pith Number

pith:T6G22FSU

pith:2015:T6G22FSUJB3WQDE23P6YVFPCWL

not attested not anchored not stored refs pending

The Steady Boltzmann and Navier-Stokes Equations

Fran\c{c}ois Golse, Kazuo Aoki, Shingo Kosuge

arxiv:1504.02584 v2 · 2015-04-10 · 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{T6G22FSUJB3WQDE23P6YVFPCWL}

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	2026-05-18T01:22:08.080565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f8dad16544877680c9adbfd8a95e2b2ffe30323fd6969e157400054550eb509

Aliases

arxiv: 1504.02584 · arxiv_version: 1504.02584v2 · doi: 10.48550/arxiv.1504.02584 · pith_short_12: T6G22FSUJB3W · pith_short_16: T6G22FSUJB3WQDE2 · pith_short_8: T6G22FSU

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/T6G22FSUJB3WQDE23P6YVFPCWL \
  | 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: 9f8dad16544877680c9adbfd8a95e2b2ffe30323fd6969e157400054550eb509

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94176e664b6c2bfe8e9b64aff624f9f02876da10c2930564145c4b42ce0364a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-04-10T08:26:03Z",
    "title_canon_sha256": "62f5ff8132d31f36f3d2aa23f1f74be6a8c8e64ab5c106816880d2ab93969bbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02584",
    "kind": "arxiv",
    "version": 2
  }
}