Pith Number

pith:2K75DEVK

pith:2017:2K75DEVK7BGO5ZTMWX3VZVNADE

not attested not anchored not stored refs pending

On the Kramers-Fokker-Planck equation with decreasing potentials in dimension one

Radek Novak (LMJL), Xue Ping Wang

arxiv:1712.01660 v1 · 2017-12-05 · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2K75DEVK7BGO5ZTMWX3VZVNADE}

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	2026-05-18T00:28:47.975597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2bfd192aaf84ceee66cb5f75cd5a01938ac5bac6c4b6d8752afb116f10b0802

Aliases

arxiv: 1712.01660 · arxiv_version: 1712.01660v1 · doi: 10.48550/arxiv.1712.01660 · pith_short_12: 2K75DEVK7BGO · pith_short_16: 2K75DEVK7BGO5ZTM · pith_short_8: 2K75DEVK

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/2K75DEVK7BGO5ZTMWX3VZVNADE \
  | 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: d2bfd192aaf84ceee66cb5f75cd5a01938ac5bac6c4b6d8752afb116f10b0802

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "438f756b6a7d07e2ccc9a8705af4d203f2f9f5670b6f3cb8e4c89c9a21b6f4b4",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-05T14:31:44Z",
    "title_canon_sha256": "95c9804cc21cd1be3ac11a75414b21036de46fd9b8396149c2f5cb9a3233baf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.01660",
    "kind": "arxiv",
    "version": 1
  }
}