Pith Number

pith:3J7IHQMK

pith:2016:3J7IHQMKBBUUWVQRIFSLRFCOBD

not attested not anchored not stored refs pending

Exploration of heterogeneous treatment effects via concave fusion

Jian Huang, Mingming Liu, Shujie Ma, Zhiwei Zhang

arxiv:1607.03717 v3 · 2016-07-13 · 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{3J7IHQMKBBUUWVQRIFSLRFCOBD}

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	2026-07-04T23:58:22.350190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da7e83c18a08694b56114164b8944e08e3d93cc9caf45803247aa6b4a46f2700

Aliases

arxiv: 1607.03717 · arxiv_version: 1607.03717v3 · doi: 10.48550/arxiv.1607.03717 · pith_short_12: 3J7IHQMKBBUU · pith_short_16: 3J7IHQMKBBUUWVQR · pith_short_8: 3J7IHQMK

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/3J7IHQMKBBUUWVQRIFSLRFCOBD \
  | 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: da7e83c18a08694b56114164b8944e08e3d93cc9caf45803247aa6b4a46f2700

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34b779af01120e3847fd5311f73450336f8ad1a9c27c40bb3801fb2ba3641080",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2016-07-13T13:15:58Z",
    "title_canon_sha256": "478293263df08c309817399056e8a19d8e544157392975937ebd318bd41da9aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03717",
    "kind": "arxiv",
    "version": 3
  }
}