Pith Number

pith:4MU7PMW7

pith:2016:4MU7PMW7YF2B5A5SC322L44J76

not attested not anchored not stored refs pending

Principal stratification analysis using principal scores

Jiannan Lu, Peng Ding

arxiv:1602.01196 v1 · 2016-02-03 · stat.ME · 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{4MU7PMW7YF2B5A5SC322L44J76}

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	2026-05-18T01:21:20.848509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e329f7b2dfc1741e83b216f5a5f389ff97db9cfe06f3e36101889e194a1b1f8b

Aliases

arxiv: 1602.01196 · arxiv_version: 1602.01196v1 · doi: 10.48550/arxiv.1602.01196 · pith_short_12: 4MU7PMW7YF2B · pith_short_16: 4MU7PMW7YF2B5A5S · pith_short_8: 4MU7PMW7

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/4MU7PMW7YF2B5A5SC322L44J76 \
  | 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: e329f7b2dfc1741e83b216f5a5f389ff97db9cfe06f3e36101889e194a1b1f8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51dbfbe49a4fa587e3c12af3fc29d3325b27dbfe9b22e59ed3470fbc3d360d92",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2016-02-03T05:56:30Z",
    "title_canon_sha256": "0e826fa978145baa4c9a3bcaad796c2a74fccd7488e6428f6ec3f25012169c82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01196",
    "kind": "arxiv",
    "version": 1
  }
}