Pith Number

pith:OBQIYVYH

pith:2025:OBQIYVYH2WXJPVWQB66YRA745D

not attested not anchored not stored refs pending

Individual Treatment Effect: Prediction Intervals and Sharp Bounds

Thomas S. Richardson, Zhehao Zhang

arxiv:2506.07469 v1 · 2025-06-09 · stat.ME · econ.EM · 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{OBQIYVYH2WXJPVWQB66YRA745D}

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	2026-07-05T11:18:27.850884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70608c5707d5ae97d6d00fbd8883fce8e7ac6f78f020b1ab5de32bb0d344c214

Aliases

arxiv: 2506.07469 · arxiv_version: 2506.07469v1 · doi: 10.48550/arxiv.2506.07469 · pith_short_12: OBQIYVYH2WXJ · pith_short_16: OBQIYVYH2WXJPVWQ · pith_short_8: OBQIYVYH

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/OBQIYVYH2WXJPVWQB66YRA745D \
  | 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: 70608c5707d5ae97d6d00fbd8883fce8e7ac6f78f020b1ab5de32bb0d344c214

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe01a8f89090c3939035d4a4533a27ec4d01157ca41d8b554f5da88672240782",
    "cross_cats_sorted": [
      "econ.EM",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2025-06-09T06:39:24Z",
    "title_canon_sha256": "6538f9902928927cbd5bca7d451a75a4996675c570f93133d64cbac38ccbb041"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07469",
    "kind": "arxiv",
    "version": 1
  }
}