Pith Number

pith:KKU6MJMH

pith:2026:KKU6MJMH5ZAAUUX5HHJNLD2X2D

not attested not anchored not stored refs pending

On the Regularity and Generalization of One-Step Wasserstein-guided Generative Models for PDE-Induced Measures

Jack Xin, Likun Lin, Zhiwen Zhang, Zhongjian Wang

arxiv:2605.21388 v1 · 2026-05-20 · cs.LG · cs.AI · cs.NA · math.NA · 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{KKU6MJMH5ZAAUUX5HHJNLD2X2D}

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	2026-05-21T02:05:32.303335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52a9e62587ee400a52fd39d2d58f57d0facd940339cfef947b3ec84d20c88dff

Aliases

arxiv: 2605.21388 · arxiv_version: 2605.21388v1 · doi: 10.48550/arxiv.2605.21388 · pith_short_12: KKU6MJMH5ZAA · pith_short_16: KKU6MJMH5ZAAUUX5 · pith_short_8: KKU6MJMH

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/KKU6MJMH5ZAAUUX5HHJNLD2X2D \
  | 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: 52a9e62587ee400a52fd39d2d58f57d0facd940339cfef947b3ec84d20c88dff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ce07dde3e054f726f442907ff94584290646bc77436703da3c22a191c742137",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.NA",
      "math.NA",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-20T16:43:55Z",
    "title_canon_sha256": "a6333d37a48466a67e25f53030c2f1552f8d201c119aeec0753d90b1517749c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21388",
    "kind": "arxiv",
    "version": 1
  }
}