Pith Number

pith:4W7OXMTJ

pith:2026:4W7OXMTJOKPBOQU54KEZ23XGV2

not attested not anchored not stored refs pending

Testing Equality of Conditional Distributions via Generative Models

Hanjia Gao, Linjun Huang, Xiaofeng Shao, Yun Yang

arxiv:2606.06930 v1 · 2026-06-05 · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4W7OXMTJOKPBOQU54KEZ23XGV2}

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	2026-06-08T01:04:36.597551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5beebb269729e17429de2899d6ee6aeb2cac8f4bbbb4d8c928046add0f9da4a

Aliases

arxiv: 2606.06930 · arxiv_version: 2606.06930v1 · doi: 10.48550/arxiv.2606.06930 · pith_short_12: 4W7OXMTJOKPB · pith_short_16: 4W7OXMTJOKPBOQU5 · pith_short_8: 4W7OXMTJ

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/4W7OXMTJOKPBOQU54KEZ23XGV2 \
  | 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: e5beebb269729e17429de2899d6ee6aeb2cac8f4bbbb4d8c928046add0f9da4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d120e50b93f14ec89e3db415508da38858cf239f4da385305a8ec5c9d94f1153",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-06-05T05:46:48Z",
    "title_canon_sha256": "ec8c0a746dfc3bf8c45ba6fb93bf5a265d1bc1181b903b551d088518e638f997"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06930",
    "kind": "arxiv",
    "version": 1
  }
}