Pith Number

pith:RQ23EEP6

pith:2026:RQ23EEP63U3Q5GQS5WBNEAEAY6

not attested not anchored not stored refs pending

Identification and Robust Inference for Multiple Treatment Effects with Possibly Invalid Instruments

Qingliang Fan, Zijian Guo, Ziwei Mei

arxiv:2607.21481 v1 · 2026-07-23 · 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{RQ23EEP63U3Q5GQS5WBNEAEAY6}

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	2026-07-24T01:24:35.118377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c35b211fedd370e9a12ed82d20080c7adc950261a97e2213072967b9f24c0b1

Aliases

arxiv: 2607.21481 · arxiv_version: 2607.21481v1 · doi: 10.48550/arxiv.2607.21481 · pith_short_12: RQ23EEP63U3Q · pith_short_16: RQ23EEP63U3Q5GQS · pith_short_8: RQ23EEP6

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/RQ23EEP63U3Q5GQS5WBNEAEAY6 \
  | 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: 8c35b211fedd370e9a12ed82d20080c7adc950261a97e2213072967b9f24c0b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9138b23e55e095a086b21bfc1a2fb24c2accad01de2eff9c24f494a2948e0b5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-07-23T16:22:16Z",
    "title_canon_sha256": "80b80f2d8d9b41623c246629e71f6a723d0f65b4bbdc993ab7a58c77fd8eaedc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21481",
    "kind": "arxiv",
    "version": 1
  }
}