Pith Number

pith:LKXBX46D

pith:2026:LKXBX46DEIZOHLFWCHGJENT7JD

not attested not anchored not stored refs pending

Diffusion Models Are Statistically Optimal for Learning Low-Dimensional Multi-Modal Distributions

Changxiao Cai, Jingda Wu

arxiv:2605.30153 v1 · 2026-05-28 · stat.ML · cs.IT · cs.LG · math.IT · 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{LKXBX46DEIZOHLFWCHGJENT7JD}

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	2026-05-29T02:06:11.225712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5aae1bf3c32232e3acb611cc92367f48c668935608e2a130b154647b5e486e12

Aliases

arxiv: 2605.30153 · arxiv_version: 2605.30153v1 · doi: 10.48550/arxiv.2605.30153 · pith_short_12: LKXBX46DEIZO · pith_short_16: LKXBX46DEIZOHLFW · pith_short_8: LKXBX46D

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/LKXBX46DEIZOHLFWCHGJENT7JD \
  | 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: 5aae1bf3c32232e3acb611cc92367f48c668935608e2a130b154647b5e486e12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "351783f8edcc33cfe25601382edefa1714b8a56da5cf7ec7295194be8af14a33",
    "cross_cats_sorted": [
      "cs.IT",
      "cs.LG",
      "math.IT",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-05-28T16:13:44Z",
    "title_canon_sha256": "0366e308ad65e98f9180996a9e2b7f9e3e6f593cb98da300ae2de9f92c2f5493"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30153",
    "kind": "arxiv",
    "version": 1
  }
}