Pith Number

pith:NJSE4THS

pith:2015:NJSE4THSZMT6XW25IOJ2MSUCZB

not attested not anchored not stored refs pending

Nonuniqueness for the kinetic Fokker-Planck equation with inelastic boundary conditions

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

arxiv:1509.03366 v2 · 2015-09-11 · 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{NJSE4THSZMT6XW25IOJ2MSUCZB}

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	2026-05-18T00:23:02.086866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a644e4cf2cb27ebdb5d4393a64a82c87d79aca96fa565c6b5cefd7f4f7c769a

Aliases

arxiv: 1509.03366 · arxiv_version: 1509.03366v2 · doi: 10.48550/arxiv.1509.03366 · pith_short_12: NJSE4THSZMT6 · pith_short_16: NJSE4THSZMT6XW25 · pith_short_8: NJSE4THS

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/NJSE4THSZMT6XW25IOJ2MSUCZB \
  | 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: 6a644e4cf2cb27ebdb5d4393a64a82c87d79aca96fa565c6b5cefd7f4f7c769a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ae12593a39bffa7f23088abb9f8e25fc1eff0f0c22f2b8e2e5fb55976014001",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-11T00:15:42Z",
    "title_canon_sha256": "e9ae9fbdc1952137bc044f33f70d42fa7d604570750bf4d7a22c1963442ca2ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03366",
    "kind": "arxiv",
    "version": 2
  }
}