Pith Number

pith:2VPBYN4L

pith:2004:2VPBYN4LWDTXM2WWFAZRCHAAFQ

not attested not anchored not stored refs pending

Gravitational collapse of a Brownian gas

C. Sire, P.H. Chavanis

arxiv:cond-mat/0407397 v1 · 2004-07-15 · 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{2VPBYN4LWDTXM2WWFAZRCHAAFQ}

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	2026-07-04T14:21:23.570555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d55e1c378bb0e7766ad62833111c002c15694721d68badbe5a78ca03c3503c4c

Aliases

arxiv: cond-mat/0407397 · arxiv_version: cond-mat/0407397v1 · doi: 10.48550/arxiv.cond-mat/0407397 · pith_short_12: 2VPBYN4LWDTX · pith_short_16: 2VPBYN4LWDTXM2WW · pith_short_8: 2VPBYN4L

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/2VPBYN4LWDTXM2WWFAZRCHAAFQ \
  | 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: d55e1c378bb0e7766ad62833111c002c15694721d68badbe5a78ca03c3503c4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c27afcdde26a24d89a24eddd39a0be0fd83ad1263ec835ef7fea8f34c1e7504c",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2004-07-15T12:46:57Z",
    "title_canon_sha256": "2ced6e272f604bc29db7cc16864f4c29a9a9c93c6dbc023e2cabbcde0f68cb8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0407397",
    "kind": "arxiv",
    "version": 1
  }
}