Pith Number

pith:ZG56IUZN

pith:2024:ZG56IUZNDBAL7FN3KQPVKURC6F

not attested not anchored not stored refs pending

Loss Landscape Characterization of Neural Networks without Over-Parametrization

Antonio Orvieto, Aurelien Lucchi, Niccol\`o Ajroldi, Rustem Islamov

arxiv:2410.12455 v3 · 2024-10-16 · cs.LG · math.OC · stat.ML

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZG56IUZNDBAL7FN3KQPVKURC6F}

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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

On the boundedness of the sequence generated by minibatch stochastic gradient descent

Receipt and verification

First computed	2026-07-05T09:25:48.196811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9bbe4532d1840bf95bb541f555222f1499f365df5a86250b097a4112ea1eef4

Aliases

arxiv: 2410.12455 · arxiv_version: 2410.12455v3 · doi: 10.48550/arxiv.2410.12455 · pith_short_12: ZG56IUZNDBAL · pith_short_16: ZG56IUZNDBAL7FN3 · pith_short_8: ZG56IUZN

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/ZG56IUZNDBAL7FN3KQPVKURC6F \
  | 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: c9bbe4532d1840bf95bb541f555222f1499f365df5a86250b097a4112ea1eef4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1bb5d0fe09b3180216b94c2f8cd3dfd7972ca04ad863b27c4be5387721a8f9f",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-10-16T11:05:43Z",
    "title_canon_sha256": "522721d4e2f88fb4405041eab16c5f20fa048f54602451c26b02a4dade24b832"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.12455",
    "kind": "arxiv",
    "version": 3
  }
}