Pith Number

pith:MUU57EAJ

pith:2016:MUU57EAJRS5VPTTIGHTNZ56COL

not attested not anchored not stored refs pending

Semiparametric stationarity and fractional unit roots tests based on data-driven multidimensional increment ratio statistics

B\'echir Dola (SAMM), Jean-Marc Bardet (SAMM)

arxiv:1601.05682 v1 · 2016-01-21 · 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{MUU57EAJRS5VPTTIGHTNZ56COL}

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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	2026-05-18T01:22:13.242935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6529df90098cbb57ce6831e6dcf7c272f6eab6f3662211d0c35ab1f6cc599249

Aliases

arxiv: 1601.05682 · arxiv_version: 1601.05682v1 · doi: 10.48550/arxiv.1601.05682 · pith_short_12: MUU57EAJRS5V · pith_short_16: MUU57EAJRS5VPTTI · pith_short_8: MUU57EAJ

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/MUU57EAJRS5VPTTIGHTNZ56COL \
  | 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: 6529df90098cbb57ce6831e6dcf7c272f6eab6f3662211d0c35ab1f6cc599249

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af0c4b2e28a206c4786fd10fe15d734b831ea5a27728b22ea3a42bb11fa2a30c",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-01-21T15:42:15Z",
    "title_canon_sha256": "3c3a85fa045a3b554e0f4bfe60eca1b937c8f1da75bae221afeb5c1f14c6d908"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05682",
    "kind": "arxiv",
    "version": 1
  }
}