Pith Number

pith:OZ72RCI5

pith:2026:OZ72RCI56NP5YNQOCYXO3FIKNV

not attested not anchored not stored refs pending

Balancing Learning Rates Across Layers: Exact Two-Step Dynamics and Optimal Scaling in Linear Neural Networks

Dawei Zhou, Haohui Wang, Shenyang Deng, Tianyu Pang, Vignesh Kothapalli, Yaoqing Yang

arxiv:2606.00340 v1 · 2026-05-29 · 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{OZ72RCI56NP5YNQOCYXO3FIKNV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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	2026-06-02T01:03:52.088781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

767fa8891df35fdc360e162eed950a6d6f414f9f6a7c431b2c55ae1d3f044f7b

Aliases

arxiv: 2606.00340 · arxiv_version: 2606.00340v1 · doi: 10.48550/arxiv.2606.00340 · pith_short_12: OZ72RCI56NP5 · pith_short_16: OZ72RCI56NP5YNQO · pith_short_8: OZ72RCI5

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/OZ72RCI56NP5YNQOCYXO3FIKNV \
  | 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: 767fa8891df35fdc360e162eed950a6d6f414f9f6a7c431b2c55ae1d3f044f7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcf98071bc5331512835ea3a62a454df0cb0f5ceefe65a91a6f5744f45b37b08",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-29T20:28:52Z",
    "title_canon_sha256": "0f51211f178395f64b423a76826a31054541b860b076b72716c5c1bb22518117"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.00340",
    "kind": "arxiv",
    "version": 1
  }
}