Pith Number

pith:5N6DMRSO

pith:2023:5N6DMRSOYSJRDSROGTFEVPZVXE

not attested not anchored not stored refs pending

Implicit Bias of Gradient Descent for Logistic Regression at the Edge of Stability

Jason D. Lee, Jingfeng Wu, Vladimir Braverman

arxiv:2305.11788 v2 · 2023-05-19 · cs.LG · 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{5N6DMRSOYSJRDSROGTFEVPZVXE}

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.

Cited by

1 paper in Pith

Gradient Descent on Logistic Regression: Do Large Step-Sizes Work with Data on the Sphere?

Receipt and verification

First computed	2026-07-05T07:01:01.355883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb7c36464ec49311ca2e34ca4abf35b900ec53687d9988478e4c99070adc937f

Aliases

arxiv: 2305.11788 · arxiv_version: 2305.11788v2 · doi: 10.48550/arxiv.2305.11788 · pith_short_12: 5N6DMRSOYSJR · pith_short_16: 5N6DMRSOYSJRDSRO · pith_short_8: 5N6DMRSO

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/5N6DMRSOYSJRDSROGTFEVPZVXE \
  | 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: eb7c36464ec49311ca2e34ca4abf35b900ec53687d9988478e4c99070adc937f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4158cf6b46565c19c18c3ac448a0a0bff31aaaf0fc3a8196b0c6dad8d6153741",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-05-19T16:24:47Z",
    "title_canon_sha256": "bb01a640b5071ecbfa42370aa4b81041d5279dbd3fd10140b010d003261bd397"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.11788",
    "kind": "arxiv",
    "version": 2
  }
}