Pith Number

pith:EYCPZTAZ

pith:2025:EYCPZTAZ62DPAFABQB7QBZSNBX

not attested not anchored not stored refs pending

Infinite-dimensional nonlinear stationary Fokker-Planck-Kolmogorov equations

Michael R\"ockner, Stanislav V. Shaposhnikov, Vladimir I. Bogachev

arxiv:2511.23058 v2 · 2025-11-28 · 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{EYCPZTAZ62DPAFABQB7QBZSNBX}

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	2026-05-27T01:05:40.445208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2604fccc19f686f01401807f00e64d0dd7bf167292c7405626d23dad6e1e1be8

Aliases

arxiv: 2511.23058 · arxiv_version: 2511.23058v2 · doi: 10.48550/arxiv.2511.23058 · pith_short_12: EYCPZTAZ62DP · pith_short_16: EYCPZTAZ62DPAFAB · pith_short_8: EYCPZTAZ

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/EYCPZTAZ62DPAFABQB7QBZSNBX \
  | 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: 2604fccc19f686f01401807f00e64d0dd7bf167292c7405626d23dad6e1e1be8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3db2a99bdb4784565ecd8ee0cdebd177e0cf80f5dec5898ddd4d3aa1ff7198c0",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-11-28T10:32:32Z",
    "title_canon_sha256": "6d1afd5bc0c49b22925b8494d6b9a152ea6f39dcd017d18a6c13cc40593b8852"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.23058",
    "kind": "arxiv",
    "version": 2
  }
}