Pith Number

pith:25BQ2PT4

pith:2016:25BQ2PT4Q25Q7V6KDRQIKOOXAV

not attested not anchored not stored refs pending

Fractional Fokker-Planck-Kolmogorov equations associated with stochastic differential equations in a bounded domain

Sabir Umarov

arxiv:1610.08100 v1 · 2016-10-25 · math-ph · 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{25BQ2PT4Q25Q7V6KDRQIKOOXAV}

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	2026-05-18T01:01:15.062351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7430d3e7c86bb0fd7ca1c608539d7055a24b13fda185a0978cc84c13645f7c7

Aliases

arxiv: 1610.08100 · arxiv_version: 1610.08100v1 · doi: 10.48550/arxiv.1610.08100 · pith_short_12: 25BQ2PT4Q25Q · pith_short_16: 25BQ2PT4Q25Q7V6K · pith_short_8: 25BQ2PT4

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/25BQ2PT4Q25Q7V6KDRQIKOOXAV \
  | 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: d7430d3e7c86bb0fd7ca1c608539d7055a24b13fda185a0978cc84c13645f7c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e649d0a5c03dce78e0a690d832321f92169732eaf69fc0cefedb1ed312f2c404",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-10-25T21:41:06Z",
    "title_canon_sha256": "f066c2b702e3551daae3e04f37dd3754f046fae8c9c086beba53b7505f3af6f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08100",
    "kind": "arxiv",
    "version": 1
  }
}