Pith Number

pith:I6CKLFJ5

pith:2024:I6CKLFJ56P6DVHZNHJ4Q23G7DN

not attested not anchored not stored refs pending

Directional Convergence Near Small Initializations and Saddles in Two-Homogeneous Neural Networks

Akshay Kumar, Jarvis Haupt

arxiv:2402.09226 v2 · 2024-02-14 · cs.LG · math.OC · stat.ML

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\usepackage{pith}
\pithnumber{I6CKLFJ56P6DVHZNHJ4Q23G7DN}

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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 Saddle Escape in Deep Nonlinear Networks

An overview of condensation phenomenon in deep learning

A Theory of Saddle Escape in Deep Nonlinear Networks

Receipt and verification

First computed	2026-07-05T09:45:44.434426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4784a5953df3fc3a9f2d3a790d6cdf1b4ff605881a57f423e7988b569c570dae

Aliases

arxiv: 2402.09226 · arxiv_version: 2402.09226v2 · doi: 10.48550/arxiv.2402.09226 · pith_short_12: I6CKLFJ56P6D · pith_short_16: I6CKLFJ56P6DVHZN · pith_short_8: I6CKLFJ5

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/I6CKLFJ56P6DVHZNHJ4Q23G7DN \
  | 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: 4784a5953df3fc3a9f2d3a790d6cdf1b4ff605881a57f423e7988b569c570dae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "702d7cf07b4a30b160f4a69c48cab3e62a0a64b100e55921998a7b8a63cda125",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-02-14T15:10:37Z",
    "title_canon_sha256": "7a8b8a90dcc68d8fab12dbf78cdca09a3af405940415a143822a091ad869b5bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.09226",
    "kind": "arxiv",
    "version": 2
  }
}