Pith Number

pith:Z4M7KCC2

pith:2018:Z4M7KCC2PQLXSFPMKAJ3O4WLIT

not attested not anchored not stored refs pending

Gaussian asymptotic limits for the $\alpha$-transformation in the analysis of compositional data

Andrew T.A. Wood, Michail Tsagris, Yannis Pantazis

arxiv:1812.07485 v2 · 2018-11-29 · 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{Z4M7KCC2PQLXSFPMKAJ3O4WLIT}

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	2026-05-17T23:53:04.254715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf19f5085a7c177915ec5013b772cb44f87fb8ee9adae003465d07c73f2a1c3c

Aliases

arxiv: 1812.07485 · arxiv_version: 1812.07485v2 · doi: 10.48550/arxiv.1812.07485 · pith_short_12: Z4M7KCC2PQLX · pith_short_16: Z4M7KCC2PQLXSFPM · pith_short_8: Z4M7KCC2

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/Z4M7KCC2PQLXSFPMKAJ3O4WLIT \
  | 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: cf19f5085a7c177915ec5013b772cb44f87fb8ee9adae003465d07c73f2a1c3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d4282459fcebb07608c6f331b3e6445518d8630563775d71bf951ca712cc867",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2018-11-29T19:33:54Z",
    "title_canon_sha256": "cb28dc342ff82078ebc739d716edca60d392c2f40e992959480d1e47ca8dfe07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.07485",
    "kind": "arxiv",
    "version": 2
  }
}