Pith Number

pith:AK4R3COX

pith:2026:AK4R3COXEG7PTX2V7AXQP4KZTS

not attested not anchored not stored refs pending

Wasserstein Policy Learning for Distributional Outcomes

Cheuk Hang Leung, Qi Wu, Yiyan Huang, Zhiheng Zhang

arxiv:2606.19117 v1 · 2026-06-17 · stat.ME · cs.LG · econ.EM · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AK4R3COXEG7PTX2V7AXQP4KZTS}

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	2026-06-19T16:11:57.076576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02b91d89d721bef9df55f82f07f1599c9c4a912134ff228ea23a571af7bb3a90

Aliases

arxiv: 2606.19117 · arxiv_version: 2606.19117v1 · doi: 10.48550/arxiv.2606.19117 · pith_short_12: AK4R3COXEG7P · pith_short_16: AK4R3COXEG7PTX2V · pith_short_8: AK4R3COX

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/AK4R3COXEG7PTX2V7AXQP4KZTS \
  | 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: 02b91d89d721bef9df55f82f07f1599c9c4a912134ff228ea23a571af7bb3a90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f75cc8bf62c7d868a3376b36749eec3939081e4f452d96a139003e6512f78de",
    "cross_cats_sorted": [
      "cs.LG",
      "econ.EM",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-06-17T14:31:53Z",
    "title_canon_sha256": "0ee1ab5d9786d96d0123d3843f0880f9e1600f2c8b6662921812ad9fcc2504ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19117",
    "kind": "arxiv",
    "version": 1
  }
}