Pith Number

pith:CXQELXH6

pith:2014:CXQELXH6K3J5AMTFKBADIHPU25

not attested not anchored not stored refs pending

Instrumental Variables Estimation with Some Invalid Instruments and its Application to Mendelian Randomization

Anru Zhang, Dylan S. Small, Hyunseung Kang, T. Tony Cai

arxiv:1401.5755 v3 · 2014-01-22 · 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{CXQELXH6K3J5AMTFKBADIHPU25}

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	2026-05-18T02:42:14.714141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15e045dcfe56d3d032655040341df4d7655e9dc0913327db4a9f23f1ad487027

Aliases

arxiv: 1401.5755 · arxiv_version: 1401.5755v3 · doi: 10.48550/arxiv.1401.5755 · pith_short_12: CXQELXH6K3J5 · pith_short_16: CXQELXH6K3J5AMTF · pith_short_8: CXQELXH6

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/CXQELXH6K3J5AMTFKBADIHPU25 \
  | 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: 15e045dcfe56d3d032655040341df4d7655e9dc0913327db4a9f23f1ad487027

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d32c1a8cf1fd5941a294ce7e35343f126f69d59d4dd0fbc83ec142b025408e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2014-01-22T19:03:49Z",
    "title_canon_sha256": "b8fa3668260e6e46faecface6dbcb8a1869ac76875fa727adce355efef1de74d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.5755",
    "kind": "arxiv",
    "version": 3
  }
}