Pith Number

pith:QO66LCIE

pith:2010:QO66LCIE2CZTONFDBM2UC63JTE

not attested not anchored not stored refs pending

Concentrations in kinetic transport equations and hypoellipticity

Diogo Ars\'enio, Laure Saint-Raymond

arxiv:1005.1547 v3 · 2010-05-10 · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QO66LCIE2CZTONFDBM2UC63JTE}

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	2026-05-18T03:52:26.612785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83bde58904d0b33734a30b35417b69990ce5576efffd812b9c2ecdb02c23ffb2

Aliases

arxiv: 1005.1547 · arxiv_version: 1005.1547v3 · doi: 10.48550/arxiv.1005.1547 · pith_short_12: QO66LCIE2CZT · pith_short_16: QO66LCIE2CZTONFD · pith_short_8: QO66LCIE

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/QO66LCIE2CZTONFDBM2UC63JTE \
  | 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: 83bde58904d0b33734a30b35417b69990ce5576efffd812b9c2ecdb02c23ffb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2660880880dab5aacd90de8c94b55a9c804369f30980f7d2f27f31a87513eafb",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-05-10T13:52:44Z",
    "title_canon_sha256": "98e73f34e7bfdd43674c0d10aa40cb7b5389386a8927ca3a727373b8bb4c9122"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1547",
    "kind": "arxiv",
    "version": 3
  }
}