Pith Number

pith:ATAIDXRK

pith:2026:ATAIDXRK2NT3UNSBI4EBXPATPE

not attested not anchored not stored refs pending

Causal inference for group-contaminated structured outcomes: observable quotients, lossless reduction and exact randomization inference

Amir Saki, Usef Faghihi

arxiv:2608.11954 v1 · 2026-08-12 · stat.ME · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ATAIDXRK2NT3UNSBI4EBXPATPE}

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	2026-08-13T01:29:04.976933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04c081de2ad367ba364147081bbc13792f32e32e73648058024daad96de765c4

Aliases

arxiv: 2608.11954 · arxiv_version: 2608.11954v1 · doi: 10.48550/arxiv.2608.11954 · pith_short_12: ATAIDXRK2NT3 · pith_short_16: ATAIDXRK2NT3UNSB · pith_short_8: ATAIDXRK

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/ATAIDXRK2NT3UNSBI4EBXPATPE \
  | 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: 04c081de2ad367ba364147081bbc13792f32e32e73648058024daad96de765c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82c7537c48efee31282a90c5b4baee46255f3cd2173d33accab020d020a6fcd7",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-08-12T11:39:50Z",
    "title_canon_sha256": "52692ae92bc37e46abc97a4bb03c186be31c62f5d41a6d571a766c7badb4aeb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.11954",
    "kind": "arxiv",
    "version": 1
  }
}