Pith Number

pith:KLPQSYFT

pith:2026:KLPQSYFTTAOMX3NQD4P5HIUFOY

not attested not anchored not stored refs pending

A theory of learning data statistics in diffusion models, from easy to hard

Claudia Merger, Lorenzo Bardone, Sebastian Goldt

arxiv:2603.12901 v1 · 2026-03-13 · stat.ML · cond-mat.dis-nn · cs.IT · cs.LG · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KLPQSYFTTAOMX3NQD4P5HIUFOY}

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

Understanding diffusion models requires rethinking (again) generalization

Distributional simplicity bias and effective convexity in Energy Based Models

Receipt and verification

First computed	2026-05-21T02:05:00.971207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52df0960b3981ccbedb01f1fd3a2857626797fbf4c887b29a5ff3145ae1ddfe7

Aliases

arxiv: 2603.12901 · arxiv_version: 2603.12901v1 · doi: 10.48550/arxiv.2603.12901 · pith_short_12: KLPQSYFTTAOM · pith_short_16: KLPQSYFTTAOMX3NQ · pith_short_8: KLPQSYFT

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/KLPQSYFTTAOMX3NQD4P5HIUFOY \
  | 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: 52df0960b3981ccbedb01f1fd3a2857626797fbf4c887b29a5ff3145ae1ddfe7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8148d4f2d20641b0afa4526c6f507da2bd55cbfa3df61af5b9e54e520885feba",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cs.IT",
      "cs.LG",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-03-13T11:07:01Z",
    "title_canon_sha256": "1e96804b1adcd5afc71a4a382bc4289c9e1040d6dd44a992d17a0615d01d3940"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.12901",
    "kind": "arxiv",
    "version": 1
  }
}