Pith Number

pith:HTPW2LPL

pith:2012:HTPW2LPLG4DIWWPEBVJE2IQQRI

not attested not anchored not stored refs pending

Semiparametric theory for causal mediation analysis: Efficiency bounds, multiple robustness and sensitivity analysis

Eric J. Tchetgen Tchetgen, Ilya Shpitser

arxiv:1210.4654 v1 · 2012-10-17 · math.ST · 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{HTPW2LPLG4DIWWPEBVJE2IQQRI}

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	2026-05-18T03:42:56.544922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cdf6d2deb37068b59e40d524d22108a3ba0816748e9515d4a2948162f8d8f93

Aliases

arxiv: 1210.4654 · arxiv_version: 1210.4654v1 · doi: 10.48550/arxiv.1210.4654 · pith_short_12: HTPW2LPLG4DI · pith_short_16: HTPW2LPLG4DIWWPE · pith_short_8: HTPW2LPL

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/HTPW2LPLG4DIWWPEBVJE2IQQRI \
  | 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: 3cdf6d2deb37068b59e40d524d22108a3ba0816748e9515d4a2948162f8d8f93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aef060204367a35811ccf6d9670b364f78ef92239033ff506e70cae524b6f5c9",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-10-17T07:42:11Z",
    "title_canon_sha256": "9bbfce6540ec7341b2a2f31f9df43ac2f98db1dbcbd3f4af8c9017a148db4200"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4654",
    "kind": "arxiv",
    "version": 1
  }
}