Pith Number

pith:EF74MB5B

pith:2021:EF74MB5B5CCIZWB4SVFK4IO3F4

not attested not anchored not stored refs pending

The Benefits of Implicit Regularization from SGD in Least Squares Problems

Dean P. Foster, Difan Zou, Jingfeng Wu, Quanquan Gu, Sham M. Kakade, Vladimir Braverman

arxiv:2108.04552 v2 · 2021-08-10 · 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{EF74MB5B5CCIZWB4SVFK4IO3F4}

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	2026-07-05T04:38:43.729296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

217fc607a1e8848cd83c954aae21db2f099709614e86bc9717acb6b2e5849ee5

Aliases

arxiv: 2108.04552 · arxiv_version: 2108.04552v2 · doi: 10.48550/arxiv.2108.04552 · pith_short_12: EF74MB5B5CCI · pith_short_16: EF74MB5B5CCIZWB4 · pith_short_8: EF74MB5B

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/EF74MB5B5CCIZWB4SVFK4IO3F4 \
  | 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: 217fc607a1e8848cd83c954aae21db2f099709614e86bc9717acb6b2e5849ee5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84a027876d0cbe8a7a2f9a8ae021e3806ce3c9a5fddfb98b14d27172818fc397",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-08-10T09:56:47Z",
    "title_canon_sha256": "d2302ef25ef42d9b55352da7ecab4143f4652c54ccb1cbe383e6a30cfdd63f15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.04552",
    "kind": "arxiv",
    "version": 2
  }
}