Pith Number

pith:DEUOO4VQ

pith:2019:DEUOO4VQAD5LOCHTQTVXOWED2C

not attested not anchored not stored refs pending

On the Ambrosio-Figalli-Trevisan superposition principle for probability solutions to Fokker-Planck-Kolmogorov equations

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

arxiv:1903.10834 v1 · 2019-03-26 · 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{DEUOO4VQAD5LOCHTQTVXOWED2C}

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	2026-05-17T23:50:17.606085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1928e772b000fab708f384eb775883d0aaa5b6a4b47882d46fa128b9b1582066

Aliases

arxiv: 1903.10834 · arxiv_version: 1903.10834v1 · doi: 10.48550/arxiv.1903.10834 · pith_short_12: DEUOO4VQAD5L · pith_short_16: DEUOO4VQAD5LOCHT · pith_short_8: DEUOO4VQ

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/DEUOO4VQAD5LOCHTQTVXOWED2C \
  | 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: 1928e772b000fab708f384eb775883d0aaa5b6a4b47882d46fa128b9b1582066

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ebb9d11c379710f0fcc1b530b8cbdc76fec5d06802a788028a9120c6fbdedb4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-03-26T12:35:11Z",
    "title_canon_sha256": "0aeb1d2366a048319e35c8644b7ae3640347e3165a8fee6df3b466bc58c7e7f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.10834",
    "kind": "arxiv",
    "version": 1
  }
}