Pith Number

pith:KCGLR43L

pith:2011:KCGLR43LHA5IMAAJZCGLVZFLRL

not attested not anchored not stored refs pending

Probabilistic representation for the solution of the homogeneous Boltzmann equation for Maxwellian molecules

Emanuele Dolera, Eugenio Regazzini

arxiv:1103.4738 v1 · 2011-03-24 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KCGLR43LHA5IMAAJZCGLVZFLRL}

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	2026-05-18T04:26:00.952516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

508cb8f36b383a860009c88cbae4ab8ad42759e81882f431cbefa621491a240f

Aliases

arxiv: 1103.4738 · arxiv_version: 1103.4738v1 · doi: 10.48550/arxiv.1103.4738 · pith_short_12: KCGLR43LHA5I · pith_short_16: KCGLR43LHA5IMAAJ · pith_short_8: KCGLR43L

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/KCGLR43LHA5IMAAJZCGLVZFLRL \
  | 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: 508cb8f36b383a860009c88cbae4ab8ad42759e81882f431cbefa621491a240f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60c214c9524dd610e99ebce145c0e3b02b1e9ca5427a9dbda98df6ed2dc1492e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-03-24T11:41:50Z",
    "title_canon_sha256": "28bd240ac9a65b323a4537b4e277a40e8e0fde389b15cfe9b8b55731b150e002"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4738",
    "kind": "arxiv",
    "version": 1
  }
}