Pith Number

pith:24PDRINP

pith:2013:24PDRINP5AYJOZYLLSB5HX4FO4

not attested not anchored not stored refs pending

Tauberian and Abelian theorems for long-range dependent random fields

Australia), Cardiff, Cardiff University, La Trobe University, Nikolai Leonenko (1) Andriy Olenko (2) ((1) School of Mathematics, Senghennydd Road, Statistics, United Kingdom (2) Department of Mathematics, Victoria

arxiv:1307.1857 v1 · 2013-07-07 · 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{24PDRINP5AYJOZYLLSB5HX4FO4}

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	2026-05-18T03:19:03.320744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d71e38a1afe83097670b5c83d3df857737d02962aa31ac09bc07110e89780f50

Aliases

arxiv: 1307.1857 · arxiv_version: 1307.1857v1 · doi: 10.48550/arxiv.1307.1857 · pith_short_12: 24PDRINP5AYJ · pith_short_16: 24PDRINP5AYJOZYL · pith_short_8: 24PDRINP

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/24PDRINP5AYJOZYLLSB5HX4FO4 \
  | 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: d71e38a1afe83097670b5c83d3df857737d02962aa31ac09bc07110e89780f50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c113788c03b0be33e2238d97fa9fcb6e1d1ed87889a804c0b0683a44a29a9192",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-07T12:04:28Z",
    "title_canon_sha256": "9ea36fe3e957343c14d28fc2e22517e65c941380615f7bfabb62c707d60d9a64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1857",
    "kind": "arxiv",
    "version": 1
  }
}