Pith Number

pith:X7ZMA6KR

pith:2019:X7ZMA6KRWDXY6GXSL2AIYTTBNZ

not attested not anchored not stored refs pending

Randomization Tests in Observational Studies with Staggered Adoption of Treatment

Azeem Shaikh, Panos Toulis

arxiv:1912.10610 v3 · 2019-12-23 · stat.ME · stat.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X7ZMA6KRWDXY6GXSL2AIYTTBNZ}

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	2026-07-05T03:08:53.406566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bff2c07951b0ef8f1af25e808c4e616e746e90028157226094aa3246dd99194d

Aliases

arxiv: 1912.10610 · arxiv_version: 1912.10610v3 · doi: 10.48550/arxiv.1912.10610 · pith_short_12: X7ZMA6KRWDXY · pith_short_16: X7ZMA6KRWDXY6GXS · pith_short_8: X7ZMA6KR

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/X7ZMA6KRWDXY6GXSL2AIYTTBNZ \
  | 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: bff2c07951b0ef8f1af25e808c4e616e746e90028157226094aa3246dd99194d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d51f74e4d86988b2b3ee5d4e04e504abaa0b87440e7b9bb970cac56b93b597a",
    "cross_cats_sorted": [
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2019-12-23T03:53:54Z",
    "title_canon_sha256": "97c0cd2895df00df64495c04101f762e8ea271178d8580fa83af4bd1f766a1ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.10610",
    "kind": "arxiv",
    "version": 3
  }
}