Pith Number

pith:AY2K3JIC

pith:2013:AY2K3JICI7QAV5HRYN4YJHKMFA

not attested not anchored not stored refs pending

General theory for interactions in sufficient cause models with dichotomous exposures

Thomas S. Richardson, Tyler J. VanderWeele

arxiv:1301.6921 v1 · 2013-01-29 · 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{AY2K3JICI7QAV5HRYN4YJHKMFA}

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	2026-05-18T03:35:11.890207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0634ada50247e00af4f1c379849d4c281d422daae8a8db453422b38f422bbb89

Aliases

arxiv: 1301.6921 · arxiv_version: 1301.6921v1 · doi: 10.48550/arxiv.1301.6921 · pith_short_12: AY2K3JICI7QA · pith_short_16: AY2K3JICI7QAV5HR · pith_short_8: AY2K3JIC

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/AY2K3JICI7QAV5HRYN4YJHKMFA \
  | 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: 0634ada50247e00af4f1c379849d4c281d422daae8a8db453422b38f422bbb89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5807230742d95d2dffa720bcfe7d130b4c069fb1d79c4e4cc088e41edd0a1c79",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-01-29T13:45:57Z",
    "title_canon_sha256": "c99a18f36998b3dfe0e18d75f8b75dff3658f8ee4af0254683e418cc08a36ab5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6921",
    "kind": "arxiv",
    "version": 1
  }
}