Pith Number

pith:5H6DPGAB

pith:2026:5H6DPGABTJDTOLPS3WRTN4BZEF

not attested not anchored not stored refs pending

LOTTERY: Learning from Reference-Only Samples in Two-Sample Testing under Size Asymmetry

Feng Liu, Liuhua Peng, Xunye Tian, Zhijian Zhou

arxiv:2606.08460 v1 · 2026-06-07 · stat.ML · 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{5H6DPGABTJDTOLPS3WRTN4BZEF}

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	2026-06-09T01:05:37.192064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9fc3798019a47372df2dda336f0392142013b543af263cf906a5d27cb9c6efb

Aliases

arxiv: 2606.08460 · arxiv_version: 2606.08460v1 · doi: 10.48550/arxiv.2606.08460 · pith_short_12: 5H6DPGABTJDT · pith_short_16: 5H6DPGABTJDTOLPS · pith_short_8: 5H6DPGAB

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/5H6DPGABTJDTOLPS3WRTN4BZEF \
  | 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: e9fc3798019a47372df2dda336f0392142013b543af263cf906a5d27cb9c6efb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc357226bb537871f46381ee66f29b4f6875a1fc8b675528ad0b4cc74745cbfd",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-06-07T05:49:42Z",
    "title_canon_sha256": "ec41f7bb053ec1ef5ad19002d1bf325bc28537ab148981e9b625619036063439"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08460",
    "kind": "arxiv",
    "version": 1
  }
}