Pith Number

pith:7IUJDIG2

pith:2002:7IUJDIG2VTJXGGCOPSQKE5LBTG

not attested not anchored not stored refs pending

Thermodynamics and collapse of self-gravitating Brownian particles in D dimensions

C. Sire, P.-H. Chavanis

arxiv:cond-mat/0204303 v1 · 2002-04-14 · cond-mat.stat-mech · astro-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{7IUJDIG2VTJXGGCOPSQKE5LBTG}

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	2026-07-04T16:32:05.258487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa2891a0daacd373184e7ca0a2756199b8903171f13f8f281736d31fc88f8728

Aliases

arxiv: cond-mat/0204303 · arxiv_version: cond-mat/0204303v1 · doi: 10.48550/arxiv.cond-mat/0204303 · pith_short_12: 7IUJDIG2VTJX · pith_short_16: 7IUJDIG2VTJXGGCO · pith_short_8: 7IUJDIG2

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/7IUJDIG2VTJXGGCOPSQKE5LBTG \
  | 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: fa2891a0daacd373184e7ca0a2756199b8903171f13f8f281736d31fc88f8728

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18c55006041306780c9793950f7b221a21cd20a94870d8a06693943037afa32f",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2002-04-14T14:04:43Z",
    "title_canon_sha256": "95fa48cc190482f983572c904bae936c550b26de15bbbac6931054cb0a4d6ec0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0204303",
    "kind": "arxiv",
    "version": 1
  }
}