Pith Number

pith:KLUHHLOW

pith:2010:KLUHHLOW6AGQWUQEBF6J7KEOBY

not attested not anchored not stored refs pending

Exact analytical solution of the collapse of self-gravitating Brownian particles and bacterial populations at zero temperature

Cl\'ement Sire, Pierre-Henri Chavanis

arxiv:1009.2884 v3 · 2010-09-15 · cond-mat.stat-mech · q-bio.QM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KLUHHLOW6AGQWUQEBF6J7KEOBY}

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	2026-05-18T03:23:37.113389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52e873add6f00d0b5204097c9fa88e0e2dd2869c056f8ecd59fa83dc1d4b262c

Aliases

arxiv: 1009.2884 · arxiv_version: 1009.2884v3 · doi: 10.48550/arxiv.1009.2884 · pith_short_12: KLUHHLOW6AGQ · pith_short_16: KLUHHLOW6AGQWUQE · pith_short_8: KLUHHLOW

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/KLUHHLOW6AGQWUQEBF6J7KEOBY \
  | 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: 52e873add6f00d0b5204097c9fa88e0e2dd2869c056f8ecd59fa83dc1d4b262c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45d90998259db045184d956842b33d516049dee599c34380d88cda073bd79946",
    "cross_cats_sorted": [
      "q-bio.QM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-09-15T10:02:39Z",
    "title_canon_sha256": "a222fe323e90bcf61b95b374ff8ecf9a7c1cfbcbba69dda74b5be4d2c09b033f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2884",
    "kind": "arxiv",
    "version": 3
  }
}