Pith Number

pith:NN5EYK7I

pith:2004:NN5EYK7I6IT3M2CBZ6UBMEZ72F

not attested not anchored not stored refs pending

On the analogy between self-gravitating Brownian particles and bacterial populations

C. Rosier, C. Sire, M. Ribot, P.H. Chavanis

arxiv:cond-mat/0407386 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{NN5EYK7I6IT3M2CBZ6UBMEZ72F}

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	2026-07-04T14:21:23.495887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b7a4c2be8f227b66841cfa816133fd1773841a919468e2286b09b11f4868dcb

Aliases

arxiv: cond-mat/0407386 · arxiv_version: cond-mat/0407386v1 · doi: 10.48550/arxiv.cond-mat/0407386 · pith_short_12: NN5EYK7I6IT3 · pith_short_16: NN5EYK7I6IT3M2CB · pith_short_8: NN5EYK7I

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/NN5EYK7I6IT3M2CBZ6UBMEZ72F \
  | 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: 6b7a4c2be8f227b66841cfa816133fd1773841a919468e2286b09b11f4868dcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1edb6db925abc837145a05531d7e65c9ea49ce039cc807a3de3fe5c9b6b0ee1b",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2004-07-15T14:43:09Z",
    "title_canon_sha256": "c16a10201dbfa1b107dfcf6755fa075684ce8e66d539b8cbb791e8fa3ed0ada7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0407386",
    "kind": "arxiv",
    "version": 1
  }
}