Pith Number

pith:XQUGU2CC

pith:2025:XQUGU2CCNF7Y4QTII33YWDPJ6R

not attested not anchored not stored refs pending

Preconditioned Sharpness-Aware Minimization: Unifying Analysis and a Novel Learning Algorithm

Bingcong Li, Georgios B. Giannakis, Yilang Zhang

arxiv:2501.06603 v1 · 2025-01-11 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XQUGU2CCNF7Y4QTII33YWDPJ6R}

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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

Avoiding spurious sharpness minimization broadens applicability of SAM

Receipt and verification

First computed	2026-07-05T10:00:05.991801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc286a6842697f8e426846f78b0de9f469ebb87c154b7075d842a403bbdc4b44

Aliases

arxiv: 2501.06603 · arxiv_version: 2501.06603v1 · doi: 10.48550/arxiv.2501.06603 · pith_short_12: XQUGU2CCNF7Y · pith_short_16: XQUGU2CCNF7Y4QTI · pith_short_8: XQUGU2CC

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/XQUGU2CCNF7Y4QTII33YWDPJ6R \
  | 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: bc286a6842697f8e426846f78b0de9f469ebb87c154b7075d842a403bbdc4b44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "262a67dfe7d81183073d69aa0542fa699a0e444b1aa68143cfd4ee1730899d9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-01-11T18:05:33Z",
    "title_canon_sha256": "150221550aedb50732b8fdb496cc4fe26616cf926be40a6c120db1b94eb32265"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.06603",
    "kind": "arxiv",
    "version": 1
  }
}