Pith Number

pith:OXRBQUWA

pith:2004:OXRBQUWAMRZ6J5KMXMJTQ7EJAQ

not attested not anchored not stored refs pending

Logarithmic Sobolev Inequality for Zero-Range Dynamics: independence of the number of particles

Gustavo Posta, Paolo Dai Pra

arxiv:math/0404460 v2 · 2004-04-26 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OXRBQUWAMRZ6J5KMXMJTQ7EJAQ}

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	2026-05-18T04:39:39.667810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75e21852c06473e4f54cbb13387c8904321f32ae1df3ea674db37521b5786959

Aliases

arxiv: math/0404460 · arxiv_version: math/0404460v2 · doi: 10.48550/arxiv.math/0404460 · pith_short_12: OXRBQUWAMRZ6 · pith_short_16: OXRBQUWAMRZ6J5KM · pith_short_8: OXRBQUWA

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/OXRBQUWAMRZ6J5KMXMJTQ7EJAQ \
  | 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: 75e21852c06473e4f54cbb13387c8904321f32ae1df3ea674db37521b5786959

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ba0a74844b076b1369b22a7e62e54af3a11bd95db49238a3992c66183cf3ebf",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2004-04-26T14:16:08Z",
    "title_canon_sha256": "a943ec1e73acb62203a4bbae280a0c537bdef367ed39c4cc7e21e7c855268f81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0404460",
    "kind": "arxiv",
    "version": 2
  }
}