Pith Number

pith:V44B4HFU

pith:2025:V44B4HFU2LP47EX2237S65J4FX

not attested not anchored not stored refs pending

Regularity of the score function in generative models

Arthur St\'ephanovitch

arxiv:2506.19559 v1 · 2025-06-24 · 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{V44B4HFU2LP47EX2237S65J4FX}

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

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

Expressivity of Bi-Lipschitz Normalizing Flows: A Score-Based Diffusion Perspective

Lipschitz regularity in Flow Matching and Diffusion Models: sharp sampling rates and functional inequalities

Receipt and verification

First computed	2026-07-05T11:26:34.524386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af381e1cb4d2dfcf92fad6ff2f753c2dff97690bdb9be4dddff0a7563804e94e

Aliases

arxiv: 2506.19559 · arxiv_version: 2506.19559v1 · doi: 10.48550/arxiv.2506.19559 · pith_short_12: V44B4HFU2LP4 · pith_short_16: V44B4HFU2LP47EX2 · pith_short_8: V44B4HFU

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/V44B4HFU2LP47EX2237S65J4FX \
  | 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: af381e1cb4d2dfcf92fad6ff2f753c2dff97690bdb9be4dddff0a7563804e94e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2817652625ab05b6f492e261c95673559252809e222276790245facd0f643106",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-06-24T12:16:06Z",
    "title_canon_sha256": "e08b0d571c58f2455e38bf2334d52a5a052f4cf29143809a909ef79bc6696068"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.19559",
    "kind": "arxiv",
    "version": 1
  }
}