Pith Number

pith:PE2KXY27

pith:2024:PE2KXY27SMHTI3Q4HHQO3P2CHP

not attested not anchored not stored refs pending

Manifolds, Random Matrices and Spectral Gaps: The geometric phases of generative diffusion

Beatrice Achilli, Carlo Lucibello, Enrico Ventura, Gianluigi Silvestri, Luca Ambrogioni

arxiv:2410.05898 v7 · 2024-10-08 · stat.ML · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PE2KXY27SMHTI3Q4HHQO3P2CHP}

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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

2 papers in Pith

An exact information theory of generalization phase transitions in Bayesian diffusion models

Diffusion Models Memorize in Training -- and Generalize in Inference

Receipt and verification

First computed	2026-07-05T10:47:31.602780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7934abe35f930f346e1c39e0edbf423bdf73ea01bd96eb91b5a3e3c495fb68c8

Aliases

arxiv: 2410.05898 · arxiv_version: 2410.05898v7 · doi: 10.48550/arxiv.2410.05898 · pith_short_12: PE2KXY27SMHT · pith_short_16: PE2KXY27SMHTI3Q4 · pith_short_8: PE2KXY27

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/PE2KXY27SMHTI3Q4HHQO3P2CHP \
  | 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: 7934abe35f930f346e1c39e0edbf423bdf73ea01bd96eb91b5a3e3c495fb68c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3453cf8258d886a62760ae20b4dfeee19702e659639ada15eb18fcf1d3982415",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2024-10-08T10:55:40Z",
    "title_canon_sha256": "5ed427f69e6fd0d3f68b35bc9bd3950764a827f314f8da31972487b227350f16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.05898",
    "kind": "arxiv",
    "version": 7
  }
}