Pith Number

pith:2DDTKALD

pith:2013:2DDTKALDQUYKQUKMMC2RQAUA7T

not attested not anchored not stored refs pending

Fundamental solution of kinetic Fokker-Planck operator with anisotropic nonlocal dissipativity

Xicheng Zhang

arxiv:1301.0147 v1 · 2013-01-01 · math.PR · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2DDTKALDQUYKQUKMMC2RQAUA7T}

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.

Cited by

2 papers in Pith

Large-Scale Regularity for the Periodic Kinetic Fokker-Planck equation

Nash-Aronson Estimate for the Linear Kinetic Fokker-Planck equation

Receipt and verification

First computed	2026-05-18T03:37:28.067285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0c73501638530a8514c60b5180280fcd1acecd0a4e2b1f10004a07217689455

Aliases

arxiv: 1301.0147 · arxiv_version: 1301.0147v1 · doi: 10.48550/arxiv.1301.0147 · pith_short_12: 2DDTKALDQUYK · pith_short_16: 2DDTKALDQUYKQUKM · pith_short_8: 2DDTKALD

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/2DDTKALDQUYKQUKMMC2RQAUA7T \
  | 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: d0c73501638530a8514c60b5180280fcd1acecd0a4e2b1f10004a07217689455

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d0254ef0dcc8efb8867076a917981b31fdf6b7094f4dfb7c64201f04976b84c",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-01T23:49:49Z",
    "title_canon_sha256": "b661b9a960df5345128cbf312b3d6f1185da9e9a74ed5c043152de779c810a76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0147",
    "kind": "arxiv",
    "version": 1
  }
}