Pith Number

pith:6KN7LR7R

pith:2022:6KN7LR7RVNW7FY6W36JVZQNYEU

not attested not anchored not stored refs pending

Conditional Likelihood Ratio Test with Many Weak Instruments

Sreevidya Ayyar, Taisuke Otsu, Yukitoshi Matsushita

arxiv:2210.07680 v1 · 2022-10-14 · 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{6KN7LR7RVNW7FY6W36JVZQNYEU}

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	2026-06-19T16:10:27.112592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f29bf5c7f1ab6df2e3d6df935cc1b8250664c3d29e84795c20d4a404a7dd4f5c

Aliases

arxiv: 2210.07680 · arxiv_version: 2210.07680v1 · doi: 10.48550/arxiv.2210.07680 · pith_short_12: 6KN7LR7RVNW7 · pith_short_16: 6KN7LR7RVNW7FY6W · pith_short_8: 6KN7LR7R

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/6KN7LR7RVNW7FY6W36JVZQNYEU \
  | 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: f29bf5c7f1ab6df2e3d6df935cc1b8250664c3d29e84795c20d4a404a7dd4f5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b2a4572ce245ece38d27673b9dc117ed2723db00423dec9b09045df7e219dae",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.EM",
    "submitted_at": "2022-10-14T10:06:55Z",
    "title_canon_sha256": "a5aee37ed3027bc06dd8f23219da78b4098bb795218a9d01a90f49967086c351"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.07680",
    "kind": "arxiv",
    "version": 1
  }
}