Pith Number

pith:A67FC6IC

pith:2018:A67FC6ICSB76RKR3IC7CMZNWVW

not attested not anchored not stored refs pending

On $L^1$-estimates for probability solutions to Fokker-Planck-Kolmogorov equations

Stanislav V. Shaposhnikov, Svetlana N. Popova, Vladimir I. Bogachev

arxiv:1803.04568 v1 · 2018-03-12 · 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{A67FC6ICSB76RKR3IC7CMZNWVW}

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	2026-05-18T00:21:18.665314Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07be517902907fe8aa3b40be2665b6ad98f0faec441dd854c58d74057ff915d1

Aliases

arxiv: 1803.04568 · arxiv_version: 1803.04568v1 · doi: 10.48550/arxiv.1803.04568 · pith_short_12: A67FC6ICSB76 · pith_short_16: A67FC6ICSB76RKR3 · pith_short_8: A67FC6IC

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/A67FC6ICSB76RKR3IC7CMZNWVW \
  | 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: 07be517902907fe8aa3b40be2665b6ad98f0faec441dd854c58d74057ff915d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b46475e3def85395b699721f53e0778f9c57fdc6258866deba08cf3756c4cd2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-03-12T23:09:20Z",
    "title_canon_sha256": "1958d9a6b5676791aad914628870fcdf77671b7bc8fe589bacd3ebca9efb2046"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.04568",
    "kind": "arxiv",
    "version": 1
  }
}