Pith Number

pith:GLI32OL7

pith:2025:GLI32OL74OYXXBEXPXEKY4SHK3

not attested not anchored not stored refs pending

A Local Polyak-Lojasiewicz and Descent Lemma of Gradient Descent For Overparametrized Linear Models

Enrique Mallada, Hancheng Min, Rene Vidal, Salma Tarmoun, Ziqing Xu

arxiv:2505.11664 v1 · 2025-05-16 · cs.LG · math.OC · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GLI32OL74OYXXBEXPXEKY4SHK3}

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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.

Receipt and verification

First computed	2026-07-05T11:04:25.086043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32d1bd397fe3b17b84977dc8ac724756d54b15925febd40c64f3b22558512266

Aliases

arxiv: 2505.11664 · arxiv_version: 2505.11664v1 · doi: 10.48550/arxiv.2505.11664 · pith_short_12: GLI32OL74OYX · pith_short_16: GLI32OL74OYXXBEX · pith_short_8: GLI32OL7

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/GLI32OL74OYXXBEXPXEKY4SHK3 \
  | 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: 32d1bd397fe3b17b84977dc8ac724756d54b15925febd40c64f3b22558512266

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "787b667d612d7d3707e65335e2f204376dd361779eabad1e29ccd94088ee2505",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-05-16T19:57:22Z",
    "title_canon_sha256": "339613fa38584a84baff1409057656692bb1aa04766255aba88af76405c0cbe1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.11664",
    "kind": "arxiv",
    "version": 1
  }
}