Pith Number

pith:2ARY4PQP

pith:2009:2ARY4PQPKZEHYDLBHPX27FFNS5

not attested not anchored not stored refs pending

The Wiener-Khinchin Theorem for Non-wide Sense stationary Random Processes

Namrata Vaswani, Wei Lu

arxiv:0904.0602 v1 · 2009-04-03 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ARY4PQPKZEHYDLBHPX27FFNS5}

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	2026-07-04T15:40:38.561470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0238e3e0f56487c0d613befaf94ad97636838ec3c65ef56187c45dc4c74310e

Aliases

arxiv: 0904.0602 · arxiv_version: 0904.0602v1 · doi: 10.48550/arxiv.0904.0602 · pith_short_12: 2ARY4PQPKZEH · pith_short_16: 2ARY4PQPKZEHYDLB · pith_short_8: 2ARY4PQP

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/2ARY4PQPKZEHYDLBHPX27FFNS5 \
  | 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: d0238e3e0f56487c0d613befaf94ad97636838ec3c65ef56187c45dc4c74310e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0a95d8516d2b757428ed32dac0ba1620b473205bfad00ea00f11929667e37b7",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2009-04-03T15:35:50Z",
    "title_canon_sha256": "a04fe834dba730072ed3c650d6ca5a1609f88041794185990012c677b82bd477"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.0602",
    "kind": "arxiv",
    "version": 1
  }
}