Pith Number

pith:GXNC5MUJ

pith:2015:GXNC5MUJROLHX5W5JYMGTF2IIE

not attested not anchored not stored refs pending

Sensitivity Analysis Without Assumptions

Peng Ding, Tyler VanderWeele

arxiv:1507.03984 v1 · 2015-07-14 · math.ST · stat.AP · 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{GXNC5MUJROLHX5W5JYMGTF2IIE}

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	2026-05-18T01:36:52.129531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35da2eb2898b967bf6dd4e18699748413ec552003a0bd30d91ac2e8cfe33f794

Aliases

arxiv: 1507.03984 · arxiv_version: 1507.03984v1 · doi: 10.48550/arxiv.1507.03984 · pith_short_12: GXNC5MUJROLH · pith_short_16: GXNC5MUJROLHX5W5 · pith_short_8: GXNC5MUJ

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/GXNC5MUJROLHX5W5JYMGTF2IIE \
  | 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: 35da2eb2898b967bf6dd4e18699748413ec552003a0bd30d91ac2e8cfe33f794

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11467e891014ba91044b7cd80269a169d5f4e3f91292d5f7abce5abbb13eeb69",
    "cross_cats_sorted": [
      "stat.AP",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-07-14T19:57:33Z",
    "title_canon_sha256": "6efa49de950625239bfb3360d5e06e5af99e55e08d1803e9b9af2319299d66f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03984",
    "kind": "arxiv",
    "version": 1
  }
}