Pith Number

pith:PLONZ4ZT

pith:2021:PLONZ4ZTOPUBBHMHU6EDSC27D6

not attested not anchored not stored refs pending

Regularized Newton Method with Global $O(1/k^2)$ Convergence

Konstantin Mishchenko

arxiv:2112.02089 v3 · 2021-12-03 · math.OC · 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{PLONZ4ZTOPUBBHMHU6EDSC27D6}

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

Simple Stepsize for Quasi-Newton Methods with Global Convergence Guarantees

Receipt and verification

First computed	2026-07-05T05:47:01.416070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7adcdcf33373e8109d87a788390b5f1fa8762e445511ed45411d38591cb1fba8

Aliases

arxiv: 2112.02089 · arxiv_version: 2112.02089v3 · doi: 10.48550/arxiv.2112.02089 · pith_short_12: PLONZ4ZTOPUB · pith_short_16: PLONZ4ZTOPUBBHMH · pith_short_8: PLONZ4ZT

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/PLONZ4ZTOPUBBHMHU6EDSC27D6 \
  | 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: 7adcdcf33373e8109d87a788390b5f1fa8762e445511ed45411d38591cb1fba8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0aea306aacb2f55427e325f8e5d7115546eccf626dff5454eb7995301d38816d",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-12-03T18:55:50Z",
    "title_canon_sha256": "ffc57be00affffac56ac9a763f9abe8ae384861db9bd532ba0565c5ab7bb7b82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.02089",
    "kind": "arxiv",
    "version": 3
  }
}