Pith Number

pith:QVR6LWRP

pith:2005:QVR6LWRPUOQZXGTJ3GMUAOX5Z3

not attested not anchored not stored refs pending

Virial theorem and dynamical evolution of self-gravitating Brownian particles and bacterial populations in an unbounded domain

Clement Sire, Pierre-Henri Chavanis

arxiv:cond-mat/0504718 v3 · 2005-04-27 · 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{QVR6LWRPUOQZXGTJ3GMUAOX5Z3}

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	2026-05-18T02:40:19.377467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8563e5da2fa3a19b9a69d999403afdceca3cd8f7492f540c562483f39dccbc1b

Aliases

arxiv: cond-mat/0504718 · arxiv_version: cond-mat/0504718v3 · doi: 10.48550/arxiv.cond-mat/0504718 · pith_short_12: QVR6LWRPUOQZ · pith_short_16: QVR6LWRPUOQZXGTJ · pith_short_8: QVR6LWRP

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/QVR6LWRPUOQZXGTJ3GMUAOX5Z3 \
  | 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: 8563e5da2fa3a19b9a69d999403afdceca3cd8f7492f540c562483f39dccbc1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de832d7a1530d443862f2bbe216ec3f9325d49f1a70da48349be36368e562b07",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2005-04-27T13:00:40Z",
    "title_canon_sha256": "06a055d984482a855ead89cd5fce44f2fa2125cef6022ccac28acc8a357a4422"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0504718",
    "kind": "arxiv",
    "version": 3
  }
}