Pith Number

pith:TQEVKVLJ

pith:2019:TQEVKVLJTQZKQUFPMZ5LQIMVQZ

not attested not anchored not stored refs pending

Fatou's Lemma in Its Classic Form and Lebesgue's Convergence Theorems for Varying Measures with Applications to MDPs

Eugene A. Feinberg, Pavlo O. Kasyanov, Yan Liang

arxiv:1902.01525 v2 · 2019-02-05 · 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{TQEVKVLJTQZKQUFPMZ5LQIMVQZ}

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	2026-05-17T23:43:09.064392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c095555699c32a850af667ab82195867bab1648bba4f70ee504050b5311f8ee

Aliases

arxiv: 1902.01525 · arxiv_version: 1902.01525v2 · doi: 10.48550/arxiv.1902.01525 · pith_short_12: TQEVKVLJTQZK · pith_short_16: TQEVKVLJTQZKQUFP · pith_short_8: TQEVKVLJ

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/TQEVKVLJTQZKQUFPMZ5LQIMVQZ \
  | 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: 9c095555699c32a850af667ab82195867bab1648bba4f70ee504050b5311f8ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99d37a26805c5faffe98bb164824731a37bc580d776b166717a8439f3d0f040f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-02-05T02:56:21Z",
    "title_canon_sha256": "2ba9862fe42637eaffce48408e3f4779fb4fc5c8a3bb5ae60e76e0ea4a29e077"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.01525",
    "kind": "arxiv",
    "version": 2
  }
}