Pith Number

pith:UOL7M4HN

pith:2013:UOL7M4HNPWUUTQ2F7Y5VZJ5TSM

not attested not anchored not stored refs pending

Limit theorems for weighted nonlinear transformations of Gaussian stationary processes with singular spectra

Alexander V. Ivanov, Irina N. Savich, Mar\'ia D. Ruiz-Medina, Nikolai Leonenko

arxiv:1303.4588 v1 · 2013-03-19 · 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{UOL7M4HNPWUUTQ2F7Y5VZJ5TSM}

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	2026-05-18T03:30:26.771708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a397f670ed7da949c345fe3b5ca7b3932652756fc565e2021ff3974987885bdb

Aliases

arxiv: 1303.4588 · arxiv_version: 1303.4588v1 · doi: 10.48550/arxiv.1303.4588 · pith_short_12: UOL7M4HNPWUU · pith_short_16: UOL7M4HNPWUUTQ2F · pith_short_8: UOL7M4HN

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/UOL7M4HNPWUUTQ2F7Y5VZJ5TSM \
  | 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: a397f670ed7da949c345fe3b5ca7b3932652756fc565e2021ff3974987885bdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d3ff0a720d63380892f24fd09e38df92825dd850e329841461aec1ebf552909",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-03-19T13:31:46Z",
    "title_canon_sha256": "9f0c8e7a534db09815351d4d9c9641397168747cccdf44d23fd9d039eca2c34c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4588",
    "kind": "arxiv",
    "version": 1
  }
}