Pith Number

pith:ZFIADU7I

pith:2016:ZFIADU7IVURWIRQUDOLVKDRY4F

not attested not anchored not stored refs pending

Whittaker-Kotel'nikov-Shannon approximation of $\varphi$-sub-Gaussian random processes

Andriy Olenko, Yuriy Kozachenko

arxiv:1606.01062 v1 · 2016-06-03 · math.PR · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZFIADU7IVURWIRQUDOLVKDRY4F}

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	2026-05-18T01:12:59.341114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c95001d3e8ad236446141b97550e38e15ac198d5d0aa33b11f2f6f30d20e41e5

Aliases

arxiv: 1606.01062 · arxiv_version: 1606.01062v1 · doi: 10.48550/arxiv.1606.01062 · pith_short_12: ZFIADU7IVURW · pith_short_16: ZFIADU7IVURWIRQU · pith_short_8: ZFIADU7I

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/ZFIADU7IVURWIRQUDOLVKDRY4F \
  | 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: c95001d3e8ad236446141b97550e38e15ac198d5d0aa33b11f2f6f30d20e41e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45c3b6b3af353b9a40fafea1735ea2ceeea3953c7cd3e582cbd107f438444c83",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-06-03T12:34:39Z",
    "title_canon_sha256": "10fe3f3ccc1270ace34316a7d3e2776f9fa3d81ac41230ab0c6e7184e5b72450"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01062",
    "kind": "arxiv",
    "version": 1
  }
}