Pith Number

pith:A74PBLWO

pith:2013:A74PBLWO6O7DI3CGB7GKW6VKKC

not attested not anchored not stored refs pending

Testing for stationarity in multivariate locally stationary processes

Philip Preu{\ss}, Ruprecht Puchstein

arxiv:1312.1509 v1 · 2013-12-05 · 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{A74PBLWO6O7DI3CGB7GKW6VKKC}

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	2026-05-18T03:05:27.095836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07f8f0aecef3be346c460fccab7aaa50ae6e28cad33a688e535e8eb2a540bb11

Aliases

arxiv: 1312.1509 · arxiv_version: 1312.1509v1 · doi: 10.48550/arxiv.1312.1509 · pith_short_12: A74PBLWO6O7D · pith_short_16: A74PBLWO6O7DI3CG · pith_short_8: A74PBLWO

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/A74PBLWO6O7DI3CGB7GKW6VKKC \
  | 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: 07f8f0aecef3be346c460fccab7aaa50ae6e28cad33a688e535e8eb2a540bb11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eac6b543d97e5ea32536e3555170f6521be5573cfbe5cc9c13a8caf6a70ab7fa",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-12-05T11:40:36Z",
    "title_canon_sha256": "d8fe1df48be2b94f4ab2f6560af93b9c9b6f668ab5ed8eea267a6a6297f3424b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1509",
    "kind": "arxiv",
    "version": 1
  }
}