Pith Number

pith:IX45YXAA

pith:2025:IX45YXAAAK3HN6EPJFIY4WGUAF

not attested not anchored not stored refs pending

Doubly Robust Inference on Causal Derivative Effects for Continuous Treatments

Yen-Chi Chen, Yikun Zhang

arxiv:2501.06969 v2 · 2025-01-12 · stat.ME · econ.EM · math.ST · stat.ML · stat.TH

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\usepackage{pith}
\pithnumber{IX45YXAAAK3HN6EPJFIY4WGUAF}

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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.

Cited by

2 papers in Pith

Cumulative Natural Direct and Indirect Effects for Causal Mediation Analysis

Doubly cross-fit debiased machine learning of heterogeneous treatment effects under principal stratification

Receipt and verification

First computed	2026-07-05T10:50:46.531787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45f9dc5c0002b676f88f49518e58d4017ce1b57195237a96a2da3a627cae5079

Aliases

arxiv: 2501.06969 · arxiv_version: 2501.06969v2 · doi: 10.48550/arxiv.2501.06969 · pith_short_12: IX45YXAAAK3H · pith_short_16: IX45YXAAAK3HN6EP · pith_short_8: IX45YXAA

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/IX45YXAAAK3HN6EPJFIY4WGUAF \
  | 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: 45f9dc5c0002b676f88f49518e58d4017ce1b57195237a96a2da3a627cae5079

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7246b3fe6d40834f0a93d5068c7daa0381eb20dfe6bc46fbe9c6d861bb276ab",
    "cross_cats_sorted": [
      "econ.EM",
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2025-01-12T23:00:16Z",
    "title_canon_sha256": "68e0050c35900457085808af8a09faf371c9b9c91f38c487b57cc573c6bca5e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.06969",
    "kind": "arxiv",
    "version": 2
  }
}