Pith Number

pith:LO7URNAF

pith:2015:LO7URNAFVFC4GGUQZZHE73MC2P

not attested not anchored not stored refs pending

Treatment Effects on Ordinal Outcomes: Causal Estimands and Sharp Bounds

Jiannan Lu, Peng Ding, Tirthankar Dasgupta

arxiv:1507.01542 v3 · 2015-07-06 · 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{LO7URNAFVFC4GGUQZZHE73MC2P}

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	2026-05-18T00:19:14.477007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bbf48b405a945c31a90ce4e4fed82d3f124b4149f608fe67969974756c2a203

Aliases

arxiv: 1507.01542 · arxiv_version: 1507.01542v3 · doi: 10.48550/arxiv.1507.01542 · pith_short_12: LO7URNAFVFC4 · pith_short_16: LO7URNAFVFC4GGUQ · pith_short_8: LO7URNAF

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/LO7URNAFVFC4GGUQZZHE73MC2P \
  | 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: 5bbf48b405a945c31a90ce4e4fed82d3f124b4149f608fe67969974756c2a203

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb3f2b5727ab4ab5f70dea32c8930f683ad2d89cb060e5c6a7479f51a7ceff02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2015-07-06T17:09:19Z",
    "title_canon_sha256": "43b47caf5bb232f40e0726785d88e911113328f884f1bb9304b0ea5f1fa9013f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01542",
    "kind": "arxiv",
    "version": 3
  }
}