Pith Number

pith:CG3VYX5W

pith:2013:CG3VYX5WYJD57QYKUF2R3DTHG5

not attested not anchored not stored refs pending

Convergence rate of wavelet expansions of Gaussian random processes

Andriy Olenko, Olga Polosmak, Yuriy Kozachenko

arxiv:1308.1491 v1 · 2013-08-07 · 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{CG3VYX5WYJD57QYKUF2R3DTHG5}

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	2026-05-18T03:16:37.921551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11b75c5fb6c247dfc30aa1751d8e673752d1fbfd0a87d8fcbbc3b85351904660

Aliases

arxiv: 1308.1491 · arxiv_version: 1308.1491v1 · doi: 10.48550/arxiv.1308.1491 · pith_short_12: CG3VYX5WYJD5 · pith_short_16: CG3VYX5WYJD57QYK · pith_short_8: CG3VYX5W

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/CG3VYX5WYJD57QYKUF2R3DTHG5 \
  | 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: 11b75c5fb6c247dfc30aa1751d8e673752d1fbfd0a87d8fcbbc3b85351904660

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf078356d71cd836de80f69052e3122cb6a6ce435f55697a0ee530a09fd79369",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-08-07T07:20:34Z",
    "title_canon_sha256": "af351138fb426a43d2944202b1aa1f0f13f03142891bf381e3e8903d6a5ca6cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1491",
    "kind": "arxiv",
    "version": 1
  }
}