Pith Number

pith:GD3RINBT

pith:2016:GD3RINBTCYQL74RQFMPAG3OZNP

not attested not anchored not stored refs pending

Empirical Likelihood Ratio Test with Distribution Function Constraints

Ahmed Tewfik, Yingxi Liu

arxiv:1605.00157 v1 · 2016-04-30 · 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{GD3RINBTCYQL74RQFMPAG3OZNP}

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	2026-05-18T01:15:56.592432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30f71434331620bff2302b1e036dd96bc7db41dab09c127388c8839ea9fd3ac4

Aliases

arxiv: 1605.00157 · arxiv_version: 1605.00157v1 · doi: 10.48550/arxiv.1605.00157 · pith_short_12: GD3RINBTCYQL · pith_short_16: GD3RINBTCYQL74RQ · pith_short_8: GD3RINBT

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/GD3RINBTCYQL74RQFMPAG3OZNP \
  | 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: 30f71434331620bff2302b1e036dd96bc7db41dab09c127388c8839ea9fd3ac4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "035f561e511d256ddd7efd1142f6489e603304d712d0953ccec0c66bb1f3b71d",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-04-30T19:58:57Z",
    "title_canon_sha256": "9136b7b6a95841b64258c7ea25780271c82bfb0a2b0dfec3c080497918c6ce73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00157",
    "kind": "arxiv",
    "version": 1
  }
}