Pith Number

pith:SCF5MYC2

pith:2025:SCF5MYC2Q3FKLLGEJ7E22YCDQW

not attested not anchored not stored refs pending

Sharp boundary regularity properties for hypoelliptic kinetic equations

Yuzhe Zhu

arxiv:2509.02536 v1 · 2025-09-02 · 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{SCF5MYC2Q3FKLLGEJ7E22YCDQW}

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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.

Cited by

1 paper in Pith

Boundary Harnack estimates of optimal order for kinetic Fokker-Planck equations

Receipt and verification

First computed	2026-07-05T12:03:40.600994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

908bd6605a86caa5acc44fc9ad6043858a4493bcd7155372a3bf87e96732eb7f

Aliases

arxiv: 2509.02536 · arxiv_version: 2509.02536v1 · doi: 10.48550/arxiv.2509.02536 · pith_short_12: SCF5MYC2Q3FK · pith_short_16: SCF5MYC2Q3FKLLGE · pith_short_8: SCF5MYC2

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/SCF5MYC2Q3FKLLGEJ7E22YCDQW \
  | 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: 908bd6605a86caa5acc44fc9ad6043858a4493bcd7155372a3bf87e96732eb7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5514e7b42df406c4bddcce4ed5fcf90baba02812e97c21400223423d2af09863",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-09-02T17:39:32Z",
    "title_canon_sha256": "ca747e615a3618db03e437014b9d5b3fcf49c586c341cbc3d547dc0dbb6ef999"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.02536",
    "kind": "arxiv",
    "version": 1
  }
}