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Pith Number

pith:FJ3LMPTB

pith:2016:FJ3LMPTBYRZYO4UJKNAGGTH5T6
not attested not anchored not stored refs pending

Developments in Maximum Likelihood Unit Root Tests

A. I. McLeod, H. Yu, Ying Zhang

arxiv:1611.00819 v1 · 2016-11-02 · math.ST · stat.TH

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FJ3LMPTBYRZYO4UJKNAGGTH5T6}

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 2026-05-18T01:00:18.643049Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2a76b63e61c4738772895340634cfd9f9999094b6f3932f7d057b1730e313557

Aliases

arxiv: 1611.00819 · arxiv_version: 1611.00819v1 · doi: 10.48550/arxiv.1611.00819 · pith_short_12: FJ3LMPTBYRZY · pith_short_16: FJ3LMPTBYRZYO4UJ · pith_short_8: FJ3LMPTB
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FJ3LMPTBYRZYO4UJKNAGGTH5T6 \
  | 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: 2a76b63e61c4738772895340634cfd9f9999094b6f3932f7d057b1730e313557
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "37fdd3240b9b2bfa538301a2d046e683aed0165b4f970d6ce0fb6cf9191dc38d",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-11-02T21:29:07Z",
    "title_canon_sha256": "e7031c0fda4040aeb7f9e6758b58b095b9e29307bd2106056742159d57ce7467"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.00819",
    "kind": "arxiv",
    "version": 1
  }
}