Pith Number

pith:3MMWXLOT

pith:2010:3MMWXLOTIQCT3HIAGQTVMXUBRD

not attested not anchored not stored refs pending

Hypoelliptic Estimates for a Linear Model of the Boltzmann Equation without Angular Cutoff

Karel Pravda-Starov, Nicolas Lerner, Yoshinori Morimoto

arxiv:1012.4915 v2 · 2010-12-22 · math.AP · 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{3MMWXLOTIQCT3HIAGQTVMXUBRD}

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	2026-05-18T04:22:02.184786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db196badd344053d9d003427565e8188fa985ab882b14880dba4e43e39eef77d

Aliases

arxiv: 1012.4915 · arxiv_version: 1012.4915v2 · doi: 10.48550/arxiv.1012.4915 · pith_short_12: 3MMWXLOTIQCT · pith_short_16: 3MMWXLOTIQCT3HIA · pith_short_8: 3MMWXLOT

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/3MMWXLOTIQCT3HIAGQTVMXUBRD \
  | 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: db196badd344053d9d003427565e8188fa985ab882b14880dba4e43e39eef77d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eccba8680f40ea189dbb9dc7efd2ba41ab8e70ebd21422d9595c881bb7331589",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-12-22T09:23:13Z",
    "title_canon_sha256": "fa886acf95013c2a7ebba4df8d5190180a3ccd3a1eaaf4dbfe4021cbefa32e2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4915",
    "kind": "arxiv",
    "version": 2
  }
}