Pith Number

pith:EEXULWIQ

pith:2026:EEXULWIQMHVY7PINV4UX7RBOUF

not attested not anchored not stored refs pending

Improving Mendelian Randomization Analysis by Instrument Borrowing from Auxiliary Outcome Traits

Anagh Chattopadhyay, Nilanjan Chatterjee

arxiv:2607.16086 v1 · 2026-07-17 · 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{EEXULWIQMHVY7PINV4UX7RBOUF}

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	2026-07-20T02:19:30.200357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

212f45d91061eb8fbd0daf297fc42ea17f77acd34d54427175addb79956e2b21

Aliases

arxiv: 2607.16086 · arxiv_version: 2607.16086v1 · doi: 10.48550/arxiv.2607.16086 · pith_short_12: EEXULWIQMHVY · pith_short_16: EEXULWIQMHVY7PIN · pith_short_8: EEXULWIQ

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/EEXULWIQMHVY7PINV4UX7RBOUF \
  | 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: 212f45d91061eb8fbd0daf297fc42ea17f77acd34d54427175addb79956e2b21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "824da251e13576442eb97835c3c0abca9b0b1a6f4ae2580370fd634850c25104",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-07-17T16:15:57Z",
    "title_canon_sha256": "dcfbff5cea256222880e5dbcb338f9dbeea63f429a97f8697a491c66eedc876d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16086",
    "kind": "arxiv",
    "version": 1
  }
}