Pith Number

pith:IBXWU6IV

pith:2000:IBXWU6IVTZ7SQKLMUCD6RNPF2R

not attested not anchored not stored refs pending

Cooling gases with Levy flights: using the generalized central limit theorem in physics

F. Bardou

arxiv:physics/0012049 v1 · 2000-12-20 · physics.atom-ph · cond-mat.stat-mech · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IBXWU6IVTZ7SQKLMUCD6RNPF2R}

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	2026-07-04T14:43:23.217579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

406f6a79159e7f28296ca087e8b5e5d457f1920634f211562c42c1ae4523c482

Aliases

arxiv: physics/0012049 · arxiv_version: physics/0012049v1 · doi: 10.48550/arxiv.physics/0012049 · pith_short_12: IBXWU6IVTZ7S · pith_short_16: IBXWU6IVTZ7SQKLM · pith_short_8: IBXWU6IV

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/IBXWU6IVTZ7SQKLMUCD6RNPF2R \
  | 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: 406f6a79159e7f28296ca087e8b5e5d457f1920634f211562c42c1ae4523c482

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2c481097de9e80bd3828db67a1625235f5e14ad00fa34af4ed7e9a8c94bd530",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "physics.data-an"
    ],
    "license": "",
    "primary_cat": "physics.atom-ph",
    "submitted_at": "2000-12-20T11:29:45Z",
    "title_canon_sha256": "48cf37c5316c7821a48fd35a40228fc0aa5a5b13b20ecb57d7decf7f0f4093d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0012049",
    "kind": "arxiv",
    "version": 1
  }
}