Pith Number

pith:Y56ZVFSB

pith:2009:Y56ZVFSBQDCYHFAPW4UKHSTYRE

not attested not anchored not stored refs pending

Global Hypoellipticity and Compactness of Resolvent for Fokker-Planck Operator

Wei-Xi Li

arxiv:0910.1049 v3 · 2009-10-06 · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y56ZVFSBQDCYHFAPW4UKHSTYRE}

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	2026-05-18T04:41:05.234391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c77d9a964180c583940fb728a3ca788906755b0feaf40fef7e2e8e2f613e9a76

Aliases

arxiv: 0910.1049 · arxiv_version: 0910.1049v3 · doi: 10.48550/arxiv.0910.1049 · pith_short_12: Y56ZVFSBQDCY · pith_short_16: Y56ZVFSBQDCYHFAP · pith_short_8: Y56ZVFSB

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/Y56ZVFSBQDCYHFAPW4UKHSTYRE \
  | 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: c77d9a964180c583940fb728a3ca788906755b0feaf40fef7e2e8e2f613e9a76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87cbc40f589a87609d75ded15a415f256a549d15fdd4e1a7e691ee488351001f",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-10-06T19:29:26Z",
    "title_canon_sha256": "325309d24edf7e6ce4fec7e9bd9f1aadd63eb066abaa8b3b9eef894c395bdcf5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.1049",
    "kind": "arxiv",
    "version": 3
  }
}