Pith Number

pith:UOAZ4I5S

pith:2013:UOAZ4I5SGBSCHZMZ5DUWAUKS6B

not attested not anchored not stored refs pending

Partial Penalized Likelihood Ratio Test under Sparse Case

Hengjian Cui, Shanshan Wang

arxiv:1312.3723 v2 · 2013-12-13 · stat.ME

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UOAZ4I5SGBSCHZMZ5DUWAUKS6B}

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	2026-05-18T02:34:45.056876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3819e23b2306423e599e8e9605152f0677f41c0734ae13cd869afe833aee4a3

Aliases

arxiv: 1312.3723 · arxiv_version: 1312.3723v2 · doi: 10.48550/arxiv.1312.3723 · pith_short_12: UOAZ4I5SGBSC · pith_short_16: UOAZ4I5SGBSCHZMZ · pith_short_8: UOAZ4I5S

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/UOAZ4I5SGBSCHZMZ5DUWAUKS6B \
  | 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: a3819e23b2306423e599e8e9605152f0677f41c0734ae13cd869afe833aee4a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1b04b167b3ba35117e1bb43d77b4e736720b12eb5229ab9769f4a4669b1da06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2013-12-13T07:52:29Z",
    "title_canon_sha256": "a380c91d3b289deb72909374a34abf4b704c93172d8a3603102d97b34cd3098a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3723",
    "kind": "arxiv",
    "version": 2
  }
}