Pith Number

pith:PC5XYWXO

pith:2026:PC5XYWXO5VGC25WPPN3HGDTZPX

not attested not anchored not stored refs pending

Hierarchical Clustering As a Novel Solution to the Notorious Multicollinearity Problem in Observational Causal Inference

Alex Deng, Jacob Zhu, Linsha Chen, Yufei Wu, Zhiying Gu

arxiv:2606.30992 v1 · 2026-06-30 · stat.ME · cs.LG · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PC5XYWXO5VGC25WPPN3HGDTZPX}

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	2026-07-01T00:17:23.672024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78bb7c5aeeed4c2d76cf7b76730e797dd43e07d395509f08c1889b8267bae045

Aliases

arxiv: 2606.30992 · arxiv_version: 2606.30992v1 · doi: 10.48550/arxiv.2606.30992 · pith_short_12: PC5XYWXO5VGC · pith_short_16: PC5XYWXO5VGC25WP · pith_short_8: PC5XYWXO

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/PC5XYWXO5VGC25WPPN3HGDTZPX \
  | 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: 78bb7c5aeeed4c2d76cf7b76730e797dd43e07d395509f08c1889b8267bae045

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f428ce885c5d06ccdc8737d7785cfb6473265aed6a205e3a796bce1ddd21bd9",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-06-30T00:07:22Z",
    "title_canon_sha256": "8f1de3f438c4d5696919a4bc5299826d0eac6b562b6c7c00db67be0208ce1313"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30992",
    "kind": "arxiv",
    "version": 1
  }
}