Pith Number

pith:DZAABHU3

pith:2016:DZAABHU3KT33JIKF4KHCUPSBVO

not attested not anchored not stored refs pending

Novel Criteria to Exclude the Surrogate Paradox and Their Optimalities

Lan Liu, Peng Luo, Yunjian Yin, Zhi Geng

arxiv:1607.05454 v1 · 2016-07-19 · 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{DZAABHU3KT33JIKF4KHCUPSBVO}

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	2026-05-18T01:10:46.823474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e40009e9b54f7b4a145e28e2a3e41ab8610be691d754359136afd8948d65665

Aliases

arxiv: 1607.05454 · arxiv_version: 1607.05454v1 · doi: 10.48550/arxiv.1607.05454 · pith_short_12: DZAABHU3KT33 · pith_short_16: DZAABHU3KT33JIKF · pith_short_8: DZAABHU3

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/DZAABHU3KT33JIKF4KHCUPSBVO \
  | 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: 1e40009e9b54f7b4a145e28e2a3e41ab8610be691d754359136afd8948d65665

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d177d99bdccd22a3ae912f9fa8bbbe5f520de698b9a650c0610bc1fe2dff19f",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-07-19T08:26:11Z",
    "title_canon_sha256": "cc4f4598c8e427a6e9f4bdc4bae65e0c1ea07f09938df80630852bfcf48b5a1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05454",
    "kind": "arxiv",
    "version": 1
  }
}