Pith Number

pith:OXHPBJSZ

pith:2026:OXHPBJSZXIYPMJZHZ3GDDH4RN4

not attested not anchored not stored refs pending

Wasserstein bounds for denoising diffusion probabilistic models via the F\"ollmer process

Yuta Koike

arxiv:2605.18069 v1 · 2026-05-18 · stat.ML · cs.LG · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OXHPBJSZXIYPMJZHZ3GDDH4RN4}

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	2026-05-20T00:05:14.399436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75cef0a659ba30f62727cecc319f916f142ecbdee56132faf7dbc36d64657636

Aliases

arxiv: 2605.18069 · arxiv_version: 2605.18069v1 · doi: 10.48550/arxiv.2605.18069 · pith_short_12: OXHPBJSZXIYP · pith_short_16: OXHPBJSZXIYPMJZH · pith_short_8: OXHPBJSZ

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/OXHPBJSZXIYPMJZHZ3GDDH4RN4 \
  | 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: 75cef0a659ba30f62727cecc319f916f142ecbdee56132faf7dbc36d64657636

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44ed0de42251931d33689b0b25eb9e68eedb4f21084702c1e12e62672c4b24d7",
    "cross_cats_sorted": [
      "cs.LG",
      "math.PR",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-05-18T08:52:09Z",
    "title_canon_sha256": "a127a13c0ba34561f37314ea2eb46569f79175ec9270165971765123cf0c4594"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18069",
    "kind": "arxiv",
    "version": 1
  }
}