Pith Number

pith:AJMO6FNT

pith:2018:AJMO6FNTHGQLSOQ43JPNOS45MO

not attested not anchored not stored refs pending

Fatou's Lemma for Weakly Converging Measures under the Uniform Integrability Condition

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

arxiv:1807.07931 v3 · 2018-07-20 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AJMO6FNTHGQLSOQ43JPNOS45MO}

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	2026-05-17T23:50:07.144757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0258ef15b339a0b93a1cda5ed74b9d63890acaf353825f37c85e9338011ef9b2

Aliases

arxiv: 1807.07931 · arxiv_version: 1807.07931v3 · doi: 10.48550/arxiv.1807.07931 · pith_short_12: AJMO6FNTHGQL · pith_short_16: AJMO6FNTHGQLSOQ4 · pith_short_8: AJMO6FNT

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/AJMO6FNTHGQLSOQ43JPNOS45MO \
  | 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: 0258ef15b339a0b93a1cda5ed74b9d63890acaf353825f37c85e9338011ef9b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "745453197f9bb151c524a0ac0f1076b84efc2f9769d30442a3bc61932c699dfa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-07-20T16:41:31Z",
    "title_canon_sha256": "7493d11b4dcb73ac433e6a19a721b19d0f764febe7c37e58d517073f3e53f133"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.07931",
    "kind": "arxiv",
    "version": 3
  }
}