Pith Number

pith:X2SVQ4IZ

pith:2026:X2SVQ4IZJAKYGGTHJETCWLAQJJ

not attested not anchored not stored refs pending

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

Kyeongbae Kim, Marvin Weidner

arxiv:2606.10185 v1 · 2026-06-08 · 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{X2SVQ4IZJAKYGGTHJETCWLAQJJ}

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	2026-06-10T01:08:58.561601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bea55871194815831a6749262b2c104a5934a25a87718265db9ad59af80c8f3d

Aliases

arxiv: 2606.10185 · arxiv_version: 2606.10185v1 · doi: 10.48550/arxiv.2606.10185 · pith_short_12: X2SVQ4IZJAKY · pith_short_16: X2SVQ4IZJAKYGGTH · pith_short_8: X2SVQ4IZ

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/X2SVQ4IZJAKYGGTHJETCWLAQJJ \
  | 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: bea55871194815831a6749262b2c104a5934a25a87718265db9ad59af80c8f3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd346ef8ef40f568eae08ca8debd5964fad8c17e0b3988325b1247bae9e709d8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-08T21:24:36Z",
    "title_canon_sha256": "8d7b9c19e0cd317f53c7023f1af88cee47b59475667f0d59545e383d6f93e1bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10185",
    "kind": "arxiv",
    "version": 1
  }
}