Pith Number

pith:VTK6QUYN

pith:2013:VTK6QUYNPHTOGNU6VNMDI3J62A

not attested not anchored not stored refs pending

Optimal Tests of Treatment Effects for the Overall Population and Two Subpopulations in Randomized Trials, using Sparse Linear Programming

and En-Hsu Yen, Han Liu, Michael Rosenblum

arxiv:1306.0964 v1 · 2013-06-05 · 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{VTK6QUYNPHTOGNU6VNMDI3J62A}

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	2026-05-18T00:56:51.884312Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acd5e8530d79e6e3369eab58346d3ed02a4d0a23c9a07324c7e72a18f921a760

Aliases

arxiv: 1306.0964 · arxiv_version: 1306.0964v1 · doi: 10.48550/arxiv.1306.0964 · pith_short_12: VTK6QUYNPHTO · pith_short_16: VTK6QUYNPHTOGNU6 · pith_short_8: VTK6QUYN

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/VTK6QUYNPHTOGNU6VNMDI3J62A \
  | 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: acd5e8530d79e6e3369eab58346d3ed02a4d0a23c9a07324c7e72a18f921a760

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aad6ab2a3fd40b8ad29778819a05be6a0166f8c6b071e665d3b12165ed1afc64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2013-06-05T02:49:13Z",
    "title_canon_sha256": "1e10726aacfc7bd6b6bce048b922f2350f55fc05722be490d2a203679cb23a3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0964",
    "kind": "arxiv",
    "version": 1
  }
}