Pith Number

pith:ITDFNUML

pith:2018:ITDFNUMLPCEAIRYLKIKDNQGENG

not attested not anchored not stored refs pending

Global subelliptic estimates for Kramers-Fokker-Planck operators with some class of polynomials

Mona Ben Said (LAGA)

arxiv:1812.06645 v2 · 2018-12-17 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ITDFNUMLPCEAIRYLKIKDNQGENG}

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	2026-05-17T23:44:58.102658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44c656d18b788804470b521436c0c4699b33e7aa7cf46b86c76459f393417874

Aliases

arxiv: 1812.06645 · arxiv_version: 1812.06645v2 · doi: 10.48550/arxiv.1812.06645 · pith_short_12: ITDFNUMLPCEA · pith_short_16: ITDFNUMLPCEAIRYL · pith_short_8: ITDFNUML

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/ITDFNUMLPCEAIRYLKIKDNQGENG \
  | 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: 44c656d18b788804470b521436c0c4699b33e7aa7cf46b86c76459f393417874

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ee40460bc7d897f2f5d6660f0da1fb8f10d99c3ba63ecfbe4ee051674ab50c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-12-17T08:24:35Z",
    "title_canon_sha256": "090c72d284588b9a68e329a164bfbe4e8ab322456f0062be7bf703b72761bb01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.06645",
    "kind": "arxiv",
    "version": 2
  }
}