Pith Number

pith:F4DKGRLN

pith:2024:F4DKGRLN5Y6B4ZSMD55YQ44P4U

not attested not anchored not stored refs pending

Breaking the Curse of Dimensionality: Diffusion Models Efficiently Learn Low-Dimensional Distributions

Huijie Zhang, Peng Wang, Qing Qu, Siyi Chen, Yi Ma, Zekai Zhang

arxiv:2409.02426 v5 · 2024-09-04 · cs.LG · cs.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F4DKGRLN5Y6B4ZSMD55YQ44P4U}

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

3 papers in Pith

Intrinsic Wasserstein Rates for Score-Based Generative Models on Smooth Manifolds

The Interplay of Data Structure and Imbalance in the Learning Dynamics of Diffusion Models

Transformers Learn the Optimal DDPM Denoiser for Multi-Token GMMs

Receipt and verification

First computed	2026-06-10T01:09:12.893413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f06a3456dee3c1e664c1f7b88738fe5300de641971ad67d64c3048caeaec30b

Aliases

arxiv: 2409.02426 · arxiv_version: 2409.02426v5 · doi: 10.48550/arxiv.2409.02426 · pith_short_12: F4DKGRLN5Y6B · pith_short_16: F4DKGRLN5Y6B4ZSM · pith_short_8: F4DKGRLN

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/F4DKGRLN5Y6B4ZSMD55YQ44P4U \
  | 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: 2f06a3456dee3c1e664c1f7b88738fe5300de641971ad67d64c3048caeaec30b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e25f5828cdb21cf4d1d87ccd6a588a83875e7e620b69b09871fe9bac915eb9f9",
    "cross_cats_sorted": [
      "cs.CV"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-09-04T04:14:02Z",
    "title_canon_sha256": "b57a38c5108cf4bc190afcc56da459bbe1b7cf4ecd433273dae39df99d83cb08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.02426",
    "kind": "arxiv",
    "version": 5
  }
}