Pith Number

pith:3DQZR2O5

pith:2026:3DQZR2O5D6A4J4VZEARVCPL42S

not attested not anchored not stored refs pending

Granular Instrumental Variables in Large Panels: Identification and Inference Across Strong, Nearly Weak, and Weak GIV

Gokul Gopalan Ramachandran

arxiv:2607.02095 v1 · 2026-07-02 · econ.EM · 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{3DQZR2O5D6A4J4VZEARVCPL42S}

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	2026-07-03T01:17:42.131573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8e198e9dd1f81c4f2b92023513d7cd4ab3cab09843f7704c483be6b930b655d

Aliases

arxiv: 2607.02095 · arxiv_version: 2607.02095v1 · doi: 10.48550/arxiv.2607.02095 · pith_short_12: 3DQZR2O5D6A4 · pith_short_16: 3DQZR2O5D6A4J4VZ · pith_short_8: 3DQZR2O5

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/3DQZR2O5D6A4J4VZEARVCPL42S \
  | 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: d8e198e9dd1f81c4f2b92023513d7cd4ab3cab09843f7704c483be6b930b655d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0afeafab1bb0d3429dbc3f42ea6a65b0428d21331f3a873f4fa15dcb8237a696",
    "cross_cats_sorted": [
      "stat.ME"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.EM",
    "submitted_at": "2026-07-02T12:32:28Z",
    "title_canon_sha256": "d8029c840984369c9cdf2f58cc0fe5ed1a163d7f29b1742374b9d33eac25a068"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02095",
    "kind": "arxiv",
    "version": 1
  }
}