Pith Number

pith:HFRU4635

pith:2026:HFRU4635BD67XKHYVJBAHB5BQK

not attested not anchored not stored refs pending

A solvable high-dimensional model where nonlinear autoencoders learn structure invisible to PCA while test loss misaligns with generalization

C\'edric Koller, Emanuele Troiani, Jorge Medina Moreira, Lenka Zdeborov\'a, Lorenzo Bardone, Vicente Conde Mendes, Vittorio Erba

arxiv:2602.10680 v1 · 2026-02-11 · stat.ML · cond-mat.dis-nn · 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{HFRU4635BD67XKHYVJBAHB5BQK}

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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

4 papers in Pith

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

Memorisation, convergence and generalisation in generative models

A Fourier perspective on the learning dynamics of neural networks: from sample complexities to mechanistic insights

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

Receipt and verification

First computed	2026-06-08T01:03:58.505639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39634e7b7d08fdfba8f8aa420387a18298ef71e21dcc8d38864c412a0de3fed2

Aliases

arxiv: 2602.10680 · arxiv_version: 2602.10680v1 · doi: 10.48550/arxiv.2602.10680 · pith_short_12: HFRU4635BD67 · pith_short_16: HFRU4635BD67XKHY · pith_short_8: HFRU4635

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/HFRU4635BD67XKHYVJBAHB5BQK \
  | 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: 39634e7b7d08fdfba8f8aa420387a18298ef71e21dcc8d38864c412a0de3fed2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d3abf5023975c1699439316251c72d516f04d7920ea46d550338127bb37994b",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-02-11T09:31:29Z",
    "title_canon_sha256": "d4d1a3b06f9c92f07e00ecca90279bd7113757b55c7bf3608e59ac760c69f4be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.10680",
    "kind": "arxiv",
    "version": 1
  }
}