Pith Number

pith:UQMWKNJ2

pith:2013:UQMWKNJ2FFH5CF65BMR3JODPQW

not attested not anchored not stored refs pending

A Likelihood Ratio Approach for Probabilistic Inequalities

Xinjia Chen

arxiv:1308.4123 v1 · 2013-08-18 · math.PR · cs.LG · 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{UQMWKNJ2FFH5CF65BMR3JODPQW}

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	2026-05-18T03:06:42.680308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a41965353a294fd117dd0b23b4b86f85a0f35e030023132eb9475df97b1911a8

Aliases

arxiv: 1308.4123 · arxiv_version: 1308.4123v1 · doi: 10.48550/arxiv.1308.4123 · pith_short_12: UQMWKNJ2FFH5 · pith_short_16: UQMWKNJ2FFH5CF65 · pith_short_8: UQMWKNJ2

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/UQMWKNJ2FFH5CF65BMR3JODPQW \
  | 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: a41965353a294fd117dd0b23b4b86f85a0f35e030023132eb9475df97b1911a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b85ec282724262009a25bcf5bf486d43e1a981d2e578cb432a0f51457297e0a3",
    "cross_cats_sorted": [
      "cs.LG",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-08-18T22:40:41Z",
    "title_canon_sha256": "7bf654fca511cec0a3dd5ee10f9e769c30b0058ea8381f079ba545d2a98d3fa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4123",
    "kind": "arxiv",
    "version": 1
  }
}