Pith Number

pith:VUYQU7AU

pith:2016:VUYQU7AUG7MSHV7O2L5HDDMKL5

not attested not anchored not stored refs pending

No bad local minima: Data independent training error guarantees for multilayer neural networks

Daniel Soudry, Yair Carmon

arxiv:1605.08361 v2 · 2016-05-26 · stat.ML · cs.LG · cs.NE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VUYQU7AUG7MSHV7O2L5HDDMKL5}

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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

5 papers in Pith

Robust and Resource Efficient Identification of Two Hidden Layer Neural Networks

Weight-space symmetry in deep networks gives rise to permutation saddles, connected by equal-loss valleys across the loss landscape

Flat Channels to Infinity in Neural Loss Landscapes

Self-Play Fine-Tuning Converts Weak Language Models to Strong Language Models

On Large-Batch Training for Deep Learning: Generalization Gap and Sharp Minima

Receipt and verification

First computed	2026-05-18T01:13:23.123289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad310a7c1437d923d7eed2fa718d8a5f5e3e2ed7331db1de5e985c02c00c859e

Aliases

arxiv: 1605.08361 · arxiv_version: 1605.08361v2 · doi: 10.48550/arxiv.1605.08361 · pith_short_12: VUYQU7AUG7MS · pith_short_16: VUYQU7AUG7MSHV7O · pith_short_8: VUYQU7AU

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/VUYQU7AUG7MSHV7O2L5HDDMKL5 \
  | 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: ad310a7c1437d923d7eed2fa718d8a5f5e3e2ed7331db1de5e985c02c00c859e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8157d6baf2d2c7991845e204eb9ea21bd74e1598ae466d242124c68afd5df48c",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2016-05-26T16:51:05Z",
    "title_canon_sha256": "61faf19b686241be52a49eadb62c62122967db2b0fa5c3487f5f31cd892b8c82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.08361",
    "kind": "arxiv",
    "version": 2
  }
}