Pith Number

pith:BKVLNQCM

pith:2024:BKVLNQCMSY7I77NKXD6RSA7CRW

not attested not anchored not stored refs pending

Identification and Estimation of the Bi-Directional MR with Some Invalid Instruments

Feng Xie, Lin Xie, Yan Zeng, Zhen Yao, Zhi Geng

arxiv:2407.07933 v2 · 2024-07-10 · stat.ME · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BKVLNQCMSY7I77NKXD6RSA7CRW}

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	2026-07-05T08:43:12.279271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0aaab6c04c963e8ffdaab8fd1903e28da2985ea0e9948550d6537b37ee6d17e0

Aliases

arxiv: 2407.07933 · arxiv_version: 2407.07933v2 · doi: 10.48550/arxiv.2407.07933 · pith_short_12: BKVLNQCMSY7I · pith_short_16: BKVLNQCMSY7I77NK · pith_short_8: BKVLNQCM

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/BKVLNQCMSY7I77NKXD6RSA7CRW \
  | 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: 0aaab6c04c963e8ffdaab8fd1903e28da2985ea0e9948550d6537b37ee6d17e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "039d3fe0cbc07446c1c2399ef383d5c0afe1873ddc2366600209ec87d1da9f7d",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2024-07-10T12:58:30Z",
    "title_canon_sha256": "d3d93a7aa94407b9895937fc057cc8fa4e747f1ca5fe93a53e7f21f90c9a7304"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.07933",
    "kind": "arxiv",
    "version": 2
  }
}