Pith Number

pith:EPT37QVY

pith:2026:EPT37QVYKAUAM4TRXKHETNHEGR

not attested not anchored not stored refs pending

Counterfactual Explanations for Deep Two-Sample Testing

Christoph Lippert, Marco Simnacher, Wei-Cheng Lai

arxiv:2606.04009 v1 · 2026-05-29 · stat.ML · cs.AI · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EPT37QVYKAUAM4TRXKHETNHEGR}

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	2026-06-04T00:06:44.437147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23e7bfc2b85028067271ba8e49b4e434704292f621db69f93477d8ea28300749

Aliases

arxiv: 2606.04009 · arxiv_version: 2606.04009v1 · doi: 10.48550/arxiv.2606.04009 · pith_short_12: EPT37QVYKAUA · pith_short_16: EPT37QVYKAUAM4TR · pith_short_8: EPT37QVY

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/EPT37QVYKAUAM4TRXKHETNHEGR \
  | 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: 23e7bfc2b85028067271ba8e49b4e434704292f621db69f93477d8ea28300749

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48fc007696200c2feab54482ea45fc97a6bd2519a00e1ac8183d59eb70f39d26",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-05-29T14:17:08Z",
    "title_canon_sha256": "b7bfc1b41566e8b4542910196a5b0a92bbad0c8b3ecb5dbb9a5b29cd983d48de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04009",
    "kind": "arxiv",
    "version": 1
  }
}