Pith Number

pith:UXUZPXSB

pith:2013:UXUZPXSB3OO2FSI35EOY3UFKOG

not attested not anchored not stored refs pending

Limit theorems for weighted functionals of cyclical long-range dependent random fields

Andriy Olenko

arxiv:1307.2419 v1 · 2013-07-09 · 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{UXUZPXSB3OO2FSI35EOY3UFKOG}

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	2026-05-18T03:18:52.610368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5e997de41db9da2c91be91d8dd0aa71a569ceff2ad25fead5ba541fa3569b09

Aliases

arxiv: 1307.2419 · arxiv_version: 1307.2419v1 · doi: 10.48550/arxiv.1307.2419 · pith_short_12: UXUZPXSB3OO2 · pith_short_16: UXUZPXSB3OO2FSI3 · pith_short_8: UXUZPXSB

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/UXUZPXSB3OO2FSI35EOY3UFKOG \
  | 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: a5e997de41db9da2c91be91d8dd0aa71a569ceff2ad25fead5ba541fa3569b09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c82fd76b9def7a9c33f4941d9b7875a279529d440a1b6f5346bad4283987045e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-09T12:28:45Z",
    "title_canon_sha256": "2c8da2488a5cca79599e25496559eed59d8a96dbccecc9735b53c97175f5f3ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2419",
    "kind": "arxiv",
    "version": 1
  }
}