Pith Number

pith:URRI5ZOA

pith:2025:URRI5ZOALMO57JJAI5DRYV2L54

not attested not anchored not stored refs pending

Minimax Optimality of the Probability Flow ODE for Diffusion Models

Changxiao Cai, Gen Li

arxiv:2503.09583 v1 · 2025-03-12 · cs.LG · cs.IT · math.IT · math.ST · stat.ML · 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{URRI5ZOALMO57JJAI5DRYV2L54}

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.

Cited by

2 papers in Pith

Diffusion Models Adapt to Low-Dimensional Structure Under Flexible Coefficient Choices

Why DDIM Hallucinates More Than DDPM: A Theoretical Analysis of Reverse Dynamics

Receipt and verification

First computed	2026-07-05T10:29:58.572436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4628ee5c05b1ddfa52047471c574bef1bfd2a29c18522e6218c0390e3791e47

Aliases

arxiv: 2503.09583 · arxiv_version: 2503.09583v1 · doi: 10.48550/arxiv.2503.09583 · pith_short_12: URRI5ZOALMO5 · pith_short_16: URRI5ZOALMO57JJA · pith_short_8: URRI5ZOA

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/URRI5ZOALMO57JJAI5DRYV2L54 \
  | 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: a4628ee5c05b1ddfa52047471c574bef1bfd2a29c18522e6218c0390e3791e47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d5c9b1a8bfc715702575ba3c8c0c3e85a89ed557b9d9a727eaa32aed2b55fca",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-03-12T17:51:29Z",
    "title_canon_sha256": "967a435ad7e3cad6c9c43b17688fa2556de60eaffd55ebce4774a6391d781c2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.09583",
    "kind": "arxiv",
    "version": 1
  }
}