Pith Number

pith:VTPU2R25

pith:2026:VTPU2R2573HM2Z6RPFH3GEYR5P

not attested not anchored not stored refs pending

Kinetic Fokker-Planck Equations with Nonlinear Diffusion

Xicheng Zhang, Zhengyan Wu, Zimo Hao

arxiv:2607.00458 v1 · 2026-07-01 · math.AP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VTPU2R2573HM2Z6RPFH3GEYR5P}

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	2026-07-02T01:17:44.021303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acdf4d475dfececd67d1794fb31311ebcc0b2316dd5afe3dda5d43b014dce4d1

Aliases

arxiv: 2607.00458 · arxiv_version: 2607.00458v1 · doi: 10.48550/arxiv.2607.00458 · pith_short_12: VTPU2R2573HM · pith_short_16: VTPU2R2573HM2Z6R · pith_short_8: VTPU2R25

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/VTPU2R2573HM2Z6RPFH3GEYR5P \
  | 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: acdf4d475dfececd67d1794fb31311ebcc0b2316dd5afe3dda5d43b014dce4d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9e38a96efc431c2c6c862e9d80b02499fb542987ed5df54815edbb1a4016f6c",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-01T05:25:29Z",
    "title_canon_sha256": "9ef9ca2b6452232c149858c52ee29d6bd905cbd614b25a6cd9dcd83f18b57d3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00458",
    "kind": "arxiv",
    "version": 1
  }
}