Pith Number

pith:XZEBHB67

pith:2015:XZEBHB67D4Y6FTCQE65675O5X5

not attested not anchored not stored refs pending

A Fokker-Planck model of the Boltzmann equation with correct Prandtl number

IMB), J Mathiaud (IMB), L Mieussens (INRIA Bordeaux - Sud-Ouest

arxiv:1503.01246 v1 · 2015-03-04 · math.AP · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XZEBHB67D4Y6FTCQE65675O5X5}

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	2026-05-18T01:20:46.875399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be481387df1f31e2cc5027bbeff5ddbf59e3816e93c431a91f423511b6d4ae20

Aliases

arxiv: 1503.01246 · arxiv_version: 1503.01246v1 · doi: 10.48550/arxiv.1503.01246 · pith_short_12: XZEBHB67D4Y6 · pith_short_16: XZEBHB67D4Y6FTCQ · pith_short_8: XZEBHB67

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/XZEBHB67D4Y6FTCQE65675O5X5 \
  | 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: be481387df1f31e2cc5027bbeff5ddbf59e3816e93c431a91f423511b6d4ae20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "966b23109868ad80ab2edb55d8773c640953267d6e3d504d75ea5c71ef6863ff",
    "cross_cats_sorted": [
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-03-04T07:42:27Z",
    "title_canon_sha256": "9064e8f98da2333ddfd6955aac983dcf5e95c9da2fc03bde7ce94d592b191b27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01246",
    "kind": "arxiv",
    "version": 1
  }
}