Pith Number

pith:LAAIVCYS

pith:2011:LAAIVCYSYINBSCEJO245WQSXWO

not attested not anchored not stored refs pending

Degenerate Fokker-Planck Equations : Bismut Formula, Gradient Estimate and Harnack Inequality

Arnaud Guillin, Feng-Yu Wang

arxiv:1103.2817 v3 · 2011-03-14 · 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{LAAIVCYSYINBSCEJO245WQSXWO}

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	2026-05-18T04:00:26.849893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58008a8b12c21a19088976b9db4257b3b19cc113d51fd5a452d5ec4f496f4f68

Aliases

arxiv: 1103.2817 · arxiv_version: 1103.2817v3 · doi: 10.48550/arxiv.1103.2817 · pith_short_12: LAAIVCYSYINB · pith_short_16: LAAIVCYSYINBSCEJ · pith_short_8: LAAIVCYS

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/LAAIVCYSYINBSCEJO245WQSXWO \
  | 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: 58008a8b12c21a19088976b9db4257b3b19cc113d51fd5a452d5ec4f496f4f68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd93ec3f97db2534d570564fe0ec2ab3cec7949961d1bf5f12424d7a4dbcba60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-03-14T23:52:25Z",
    "title_canon_sha256": "1d709ecae5f7f5a1dcc30c9b73e0a1be73fac3c935615eb47d14cf4ae59a9704"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2817",
    "kind": "arxiv",
    "version": 3
  }
}