Pith Number

pith:MNCTPPW4

pith:2020:MNCTPPW4UOKK25Q6UKMN3YYCPV

not attested not anchored not stored refs pending

The Break-Even Point on Optimization Trajectories of Deep Neural Networks

Devansh Arpit, Jacek Tabor, Krzysztof Geras, Kyunghyun Cho, Maciej Szymczak, Stanislav Fort, Stanislaw Jastrzebski

arxiv:2002.09572 v1 · 2020-02-21 · cs.LG · stat.ML

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\usepackage{pith}
\pithnumber{MNCTPPW4UOKK25Q6UKMN3YYCPV}

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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

6 papers in Pith

Edge of Stability Selectively Shapes Learning Across the Data Distribution

Does Weight Decay Enhance Training Stability?

The Spectral Lifecycle of Transformer Training: Transient Compression Waves, Persistent Spectral Gradients, and the Q/K--V Asymmetry

There Will Be a Scientific Theory of Deep Learning

Momentum Further Constrains Sharpness at the Edge of Stochastic Stability

Receipt and verification

First computed	2026-07-05T00:43:09.158671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

634537bedca394ad761ea298dde3027d65cc25a81f022a454a2cba353baaf0ca

Aliases

arxiv: 2002.09572 · arxiv_version: 2002.09572v1 · doi: 10.48550/arxiv.2002.09572 · pith_short_12: MNCTPPW4UOKK · pith_short_16: MNCTPPW4UOKK25Q6 · pith_short_8: MNCTPPW4

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/MNCTPPW4UOKK25Q6UKMN3YYCPV \
  | 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: 634537bedca394ad761ea298dde3027d65cc25a81f022a454a2cba353baaf0ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a68fa3fa5b2d03b33fed4e24b6b5b08708d35a2e10009570e8b61d90f0f7d03",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2020-02-21T22:55:51Z",
    "title_canon_sha256": "b68d4474d9314f20ea66404a871ad489d19d72fcf5097bd40bbfef1bba8fa82a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.09572",
    "kind": "arxiv",
    "version": 1
  }
}