Pith Number

pith:BVFZJNVM

pith:2026:BVFZJNVMPV3Q4QWGW3MCWT7CNQ

not attested not anchored not stored refs pending

Derivation of the Boltzmann equation with no "molecular chaos"-type approximation

Victor F. Los

arxiv:2607.20134 v1 · 2026-07-22 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BVFZJNVMPV3Q4QWGW3MCWT7CNQ}

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	2026-07-23T01:25:03.193224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d4b94b6ac7d770e42c6b6d82b4fe26c39f3ed2f0c21bed32fa330528c2ef0c7

Aliases

arxiv: 2607.20134 · arxiv_version: 2607.20134v1 · doi: 10.48550/arxiv.2607.20134 · pith_short_12: BVFZJNVMPV3Q · pith_short_16: BVFZJNVMPV3Q4QWG · pith_short_8: BVFZJNVM

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/BVFZJNVMPV3Q4QWGW3MCWT7CNQ \
  | 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: 0d4b94b6ac7d770e42c6b6d82b4fe26c39f3ed2f0c21bed32fa330528c2ef0c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e27243941a6e4ec3a3e68fd65d838b4adc46cc97d785790476579d3a5870ec4b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-07-22T13:36:22Z",
    "title_canon_sha256": "0203243fecae6a62abfcded5fe6c6c54d3d14590eb7f9dff80e04bb23956a067"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20134",
    "kind": "arxiv",
    "version": 1
  }
}