Pith Number

pith:BVZVM4KF

pith:2023:BVZVM4KF34UFZWLTDVRXF7KZHY

not attested not anchored not stored refs pending

Mathematical analysis of singularities in the diffusion model under the submanifold assumption

Guillaume Bal, Yubin Lu, Zhongjian Wang

arxiv:2301.07882 v4 · 2023-01-19 · cs.LG · cs.NA · math.NA · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BVZVM4KF34UFZWLTDVRXF7KZHY}

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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

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T09:46:40.927744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d73567145df285cd9731d6372fd593e24f3fc1bb5570b30b7dcdfda1505b945

Aliases

arxiv: 2301.07882 · arxiv_version: 2301.07882v4 · doi: 10.48550/arxiv.2301.07882 · pith_short_12: BVZVM4KF34UF · pith_short_16: BVZVM4KF34UFZWLT · pith_short_8: BVZVM4KF

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/BVZVM4KF34UFZWLTDVRXF7KZHY \
  | 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: 0d73567145df285cd9731d6372fd593e24f3fc1bb5570b30b7dcdfda1505b945

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb532498571dba8a266d84df2eb797d9469cfbce03d3805cd9a0843124681600",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-01-19T05:13:03Z",
    "title_canon_sha256": "6a97e80462880229046a15531303e6a4c6d04335c1c9f22de725986272b20992"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.07882",
    "kind": "arxiv",
    "version": 4
  }
}