Pith Number

pith:PENY27OT

pith:2026:PENY27OTJAKQSSCVYVL5H7TX7K

not attested not anchored not stored refs pending

From nonstationarity to stationarity via $1/f$ noise: discrete Fourier transforms and sample mean asymptotics for testing

Anne Philippe, Mohamedou Ould Haye

arxiv:2605.28339 v1 · 2026-05-27 · math.ST · stat.ME · 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{PENY27OTJAKQSSCVYVL5H7TX7K}

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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	2026-05-28T01:05:13.467904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

791b8d7dd34815094855c557d3fe77fab77ee8881c34ad92754d17b50b7eb58b

Aliases

arxiv: 2605.28339 · arxiv_version: 2605.28339v1 · doi: 10.48550/arxiv.2605.28339 · pith_short_12: PENY27OTJAKQ · pith_short_16: PENY27OTJAKQSSCV · pith_short_8: PENY27OT

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/PENY27OTJAKQSSCVYVL5H7TX7K \
  | 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: 791b8d7dd34815094855c557d3fe77fab77ee8881c34ad92754d17b50b7eb58b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b221ddfd37189444820c4b562a108e92cb13cd1314f1836dee7eabe4d81da5fb",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-05-27T11:43:27Z",
    "title_canon_sha256": "a740ced9b139a67b245bc8d1c5c1551d4513ff3e6481a0717ce3ad48a113819a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.28339",
    "kind": "arxiv",
    "version": 1
  }
}