Pith Number

pith:MG2FO3I5

pith:2007:MG2FO3I5R7FNKMA5EEHVFI6VGZ

not attested not anchored not stored refs pending

A frequency domain empirical likelihood for short- and long-range dependence

Daniel J. Nordman, Soumendra N. Lahiri

arxiv:0708.0197 v1 · 2007-08-01 · 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{MG2FO3I5R7FNKMA5EEHVFI6VGZ}

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	2026-05-18T04:09:15.196358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61b4576d1d8fcad5301d210f52a3d53666829d202b165c94faa9e64620d2f989

Aliases

arxiv: 0708.0197 · arxiv_version: 0708.0197v1 · doi: 10.48550/arxiv.0708.0197 · pith_short_12: MG2FO3I5R7FN · pith_short_16: MG2FO3I5R7FNKMA5 · pith_short_8: MG2FO3I5

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/MG2FO3I5R7FNKMA5EEHVFI6VGZ \
  | 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: 61b4576d1d8fcad5301d210f52a3d53666829d202b165c94faa9e64620d2f989

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea4e767e39548597c6108a89c67ef449f7b1e1a08a40d1b74ec9ca086b343b84",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "",
    "primary_cat": "math.ST",
    "submitted_at": "2007-08-01T17:01:53Z",
    "title_canon_sha256": "ab844cd4c0dda27556be58dca3494cad69df22ebab6d09b4109b83804db177dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.0197",
    "kind": "arxiv",
    "version": 1
  }
}