Pith Number

pith:ZJV237YY

pith:2016:ZJV237YY2HVVDVURL74BTBCW4Y

not attested not anchored not stored refs pending

Bounded, efficient and multiply robust estimation of average treatment effects using instrumental variables

Eric Tchetgen Tchetgen, Linbo Wang

arxiv:1611.09925 v4 · 2016-11-29 · 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{ZJV237YY2HVVDVURL74BTBCW4Y}

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	2026-05-18T00:26:46.711559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca6badff18d1eb51d6915ff8198456e602ea5bc10c289fbb04084acc8619091c

Aliases

arxiv: 1611.09925 · arxiv_version: 1611.09925v4 · doi: 10.48550/arxiv.1611.09925 · pith_short_12: ZJV237YY2HVV · pith_short_16: ZJV237YY2HVVDVUR · pith_short_8: ZJV237YY

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/ZJV237YY2HVVDVURL74BTBCW4Y \
  | 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: ca6badff18d1eb51d6915ff8198456e602ea5bc10c289fbb04084acc8619091c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d02720ea68e722512621453d3bad8e743b1cb16b180aa5f376100fea7b0b910",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2016-11-29T22:35:01Z",
    "title_canon_sha256": "efbde95394aa3181d7d7022c3a4f69eb50bf166f4692c3916607f4328777e7e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09925",
    "kind": "arxiv",
    "version": 4
  }
}