Pith Number

pith:36IOHZL5

pith:2021:36IOHZL5CXCLUCABMR4IMLRFPZ

not attested not anchored not stored refs pending

Multiply Robust Causal Mediation Analysis with Continuous Treatments

AmirEmad Ghassami, Ilya Shpitser, Numair Sani, Yizhen Xu

arxiv:2105.09254 v4 · 2021-05-19 · math.ST · cs.LG · econ.EM · stat.ML · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{36IOHZL5CXCLUCABMR4IMLRFPZ}

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	2026-06-30T02:16:46.766553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df90e3e57d15c4ba08016478862e257e5d74747b9d8ef294d4decb1935f1b098

Aliases

arxiv: 2105.09254 · arxiv_version: 2105.09254v4 · doi: 10.48550/arxiv.2105.09254 · pith_short_12: 36IOHZL5CXCL · pith_short_16: 36IOHZL5CXCLUCAB · pith_short_8: 36IOHZL5

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/36IOHZL5CXCLUCABMR4IMLRFPZ \
  | 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: df90e3e57d15c4ba08016478862e257e5d74747b9d8ef294d4decb1935f1b098

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b38bc32912b4ee64b6773f6d05d6a7418b56041ea6238552c3c63af2fabfd28a",
    "cross_cats_sorted": [
      "cs.LG",
      "econ.EM",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2021-05-19T16:58:57Z",
    "title_canon_sha256": "d2398e4ba884631f2b0825207c86d2381431a4511cc3e0516edd53f4a4626e64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.09254",
    "kind": "arxiv",
    "version": 4
  }
}