Pith Number

pith:JFZILH7A

pith:2018:JFZILH7AQVXNIIQ5TGBDMRPDMB

not attested not anchored not stored refs pending

On the structure of the singular set for the kinetic Fokker-Planck equations in domains with boundaries

Hyung Ju Hwang, Juan J. L. Vel\'azquez, Juhi Jang

arxiv:1802.06937 v1 · 2018-02-20 · 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{JFZILH7AQVXNIIQ5TGBDMRPDMB}

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	2026-05-18T00:22:53.937839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4972859fe0856ed4221d99823645e3604116c917f4978ade7782a7475cd808c7

Aliases

arxiv: 1802.06937 · arxiv_version: 1802.06937v1 · doi: 10.48550/arxiv.1802.06937 · pith_short_12: JFZILH7AQVXN · pith_short_16: JFZILH7AQVXNIIQ5 · pith_short_8: JFZILH7A

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/JFZILH7AQVXNIIQ5TGBDMRPDMB \
  | 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: 4972859fe0856ed4221d99823645e3604116c917f4978ade7782a7475cd808c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d4edf602e3565fdf274286473ef0c948219780a8c2de17b29d58b9f85452dfa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-02-20T02:45:14Z",
    "title_canon_sha256": "c2416a7dd66879abf8cb8f1d37d2831960c64a6ebca7a820f1b2ef605b117c5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.06937",
    "kind": "arxiv",
    "version": 1
  }
}