Pith Number

pith:PO3VH3E2

pith:1997:PO3VH3E2BADRPOUFXUPOFS4K2A

not attested not anchored not stored refs pending

Solutions to the Boltzmann equation in the Boussinesq regime

Joel L. Lebowitz, Raffaele Esposito, Rossana Marra

arxiv:cond-mat/9709318 v1 · 1997-09-29 · 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{PO3VH3E2BADRPOUFXUPOFS4K2A}

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	2026-05-18T01:39:33.097193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bb753ec9a080717ba85bd1ee2cb8ad0058cf0ac805fa0bfb0dfbbc2d9853bcf

Aliases

arxiv: cond-mat/9709318 · arxiv_version: cond-mat/9709318v1 · doi: 10.48550/arxiv.cond-mat/9709318 · pith_short_12: PO3VH3E2BADR · pith_short_16: PO3VH3E2BADRPOUF · pith_short_8: PO3VH3E2

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/PO3VH3E2BADRPOUFXUPOFS4K2A \
  | 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: 7bb753ec9a080717ba85bd1ee2cb8ad0058cf0ac805fa0bfb0dfbbc2d9853bcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3cc47da63a68e29a96b0a1ad6bbad4d3f46a3e62ff46b15b70ba0bbe32662dd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "1997-09-29T14:25:28Z",
    "title_canon_sha256": "f9e67677effc18943c0ac37854f51708c1f0649040527c4bd2cc01d4f2cf1c99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9709318",
    "kind": "arxiv",
    "version": 1
  }
}