Pith Number

pith:OILVBBHJ

pith:2010:OILVBBHJLP2BQ2F5C4F2LXA23A

not attested not anchored not stored refs pending

On Villani's Conjecture Concerning Entropy Production for the Kac Master Equation

Amit Einav

arxiv:1009.3237 v2 · 2010-09-16 · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OILVBBHJLP2BQ2F5C4F2LXA23A}

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	2026-05-18T00:56:58.232891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72175084e95bf41868bd170ba5dc1ad830e0637c088264487e7bb7a6c9beefb0

Aliases

arxiv: 1009.3237 · arxiv_version: 1009.3237v2 · doi: 10.48550/arxiv.1009.3237 · pith_short_12: OILVBBHJLP2B · pith_short_16: OILVBBHJLP2BQ2F5 · pith_short_8: OILVBBHJ

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/OILVBBHJLP2BQ2F5C4F2LXA23A \
  | 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: 72175084e95bf41868bd170ba5dc1ad830e0637c088264487e7bb7a6c9beefb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d829808fbfdda2c27f5d69e7aab20abfee7c293663e825c3de61cc0b01978b27",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-09-16T18:18:53Z",
    "title_canon_sha256": "52b32d714ada3aa07c4ba7177be75c3ae8ddf09e3d336d4880560470351a3aac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3237",
    "kind": "arxiv",
    "version": 2
  }
}