Pith Number

pith:ZJYTM2X5

pith:2026:ZJYTM2X5UMZYHITKG7V2YJLNMZ

not attested not anchored not stored refs pending

Kinetic Fokker-Planck equations with Maxwell boundary conditions

Kyeongbae Kim, Marvin Weidner

arxiv:2607.20076 v1 · 2026-07-22 · 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{ZJYTM2X5UMZYHITKG7V2YJLNMZ}

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	2026-07-23T01:24:59.293979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca71366afda33383a26a37ebac256d66442d98a1290b2d3ec2603768a01e0d37

Aliases

arxiv: 2607.20076 · arxiv_version: 2607.20076v1 · doi: 10.48550/arxiv.2607.20076 · pith_short_12: ZJYTM2X5UMZY · pith_short_16: ZJYTM2X5UMZYHITK · pith_short_8: ZJYTM2X5

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/ZJYTM2X5UMZYHITKG7V2YJLNMZ \
  | 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: ca71366afda33383a26a37ebac256d66442d98a1290b2d3ec2603768a01e0d37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2ec44e699941831cb5af13dd82751b0054dd9cc0ab503e50d7c01cf38b4e604",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-22T12:25:18Z",
    "title_canon_sha256": "89b24534b5e61e15cf0ce7a5b52f315dd6dbbdf8cae5de3d01b1d6652176e43d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20076",
    "kind": "arxiv",
    "version": 1
  }
}