Pith Number

pith:F5QJSM4G

pith:2014:F5QJSM4GHITV3UMZDM7LDSSMLL

not attested not anchored not stored refs pending

Toeplitz Lemma, Complete Convergence and Complete Moment Convergence

Jiyanglin Li, Ze-Chun Hu

arxiv:1406.0768 v3 · 2014-06-03 · 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{F5QJSM4GHITV3UMZDM7LDSSMLL}

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	2026-05-18T02:28:54.011707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f609933863a275dd1991b3eb1ca4c5af7d43a7ecec3df5ab906ab270ac89625

Aliases

arxiv: 1406.0768 · arxiv_version: 1406.0768v3 · doi: 10.48550/arxiv.1406.0768 · pith_short_12: F5QJSM4GHITV · pith_short_16: F5QJSM4GHITV3UMZ · pith_short_8: F5QJSM4G

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/F5QJSM4GHITV3UMZDM7LDSSMLL \
  | 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: 2f609933863a275dd1991b3eb1ca4c5af7d43a7ecec3df5ab906ab270ac89625

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d8d85767a11cf42647d266553e4e42917811fba3c700b7b6f702c93343658f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-06-03T16:10:00Z",
    "title_canon_sha256": "74f097b29e10ee1d2873310b380aff1b08e941db13c6425e38294cfd35deb71e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.0768",
    "kind": "arxiv",
    "version": 3
  }
}