Pith Number

pith:7TOJKIIX

pith:2015:7TOJKIIXN6POPRPSAA3ZLWEDXQ

not attested not anchored not stored refs pending

Defining and estimating causal direct and indirect effects when setting the mediator to specific values is not feasible

Judith J. Lok

arxiv:1509.00351 v1 · 2015-09-01 · stat.ME · 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{7TOJKIIXN6POPRPSAA3ZLWEDXQ}

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	2026-05-18T01:34:14.353006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcdc9521176f9ee7c5f2003795d883bc2d487495e19321a37e17fcf01b7e621b

Aliases

arxiv: 1509.00351 · arxiv_version: 1509.00351v1 · doi: 10.48550/arxiv.1509.00351 · pith_short_12: 7TOJKIIXN6PO · pith_short_16: 7TOJKIIXN6POPRPS · pith_short_8: 7TOJKIIX

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/7TOJKIIXN6POPRPSAA3ZLWEDXQ \
  | 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: fcdc9521176f9ee7c5f2003795d883bc2d487495e19321a37e17fcf01b7e621b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f114427132a288ae9efb07663c7a935dee9a1e3154a4c358b466592fa22a35b0",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2015-09-01T15:26:15Z",
    "title_canon_sha256": "44f4f187d02e84816a1f1be1b10fc8b64424ae8be0c3adab7352c87d7f2b59bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00351",
    "kind": "arxiv",
    "version": 1
  }
}