Pith Number

pith:6Z3LZPV7

pith:2009:6Z3LZPV7LEE5MFVP3AV6DKAIXE

not attested not anchored not stored refs pending

The Ehrenfest wind-tree model: periodic directions, recurrence, diffusion

CPT, IML), LATP), Pascal Hubert (FRUMAM, Samuel Lelievre (LM-Orsay), Serge Troubetzkoy (FRUMAM

arxiv:0912.2891 v1 · 2009-12-15 · math.DS · physics.class-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{6Z3LZPV7LEE5MFVP3AV6DKAIXE}

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	2026-05-18T04:04:28.648642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f676bcbebf5909d616afd82be1a808b9266aae9483740f8569ea79c1a84bfdec

Aliases

arxiv: 0912.2891 · arxiv_version: 0912.2891v1 · doi: 10.48550/arxiv.0912.2891 · pith_short_12: 6Z3LZPV7LEE5 · pith_short_16: 6Z3LZPV7LEE5MFVP · pith_short_8: 6Z3LZPV7

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/6Z3LZPV7LEE5MFVP3AV6DKAIXE \
  | 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: f676bcbebf5909d616afd82be1a808b9266aae9483740f8569ea79c1a84bfdec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a19cd9ddf2268a75045c1f16c8bb4fbe0a32b8fcddc03a8bbc0b5b5b24f5a14",
    "cross_cats_sorted": [
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-12-15T13:43:56Z",
    "title_canon_sha256": "6826f241721580cd2d9dd7fb8fc191e77e7e8b33a6589a19926c4428cbdb6e82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2891",
    "kind": "arxiv",
    "version": 1
  }
}