Pith Number

pith:WV4MHMYW

pith:2021:WV4MHMYWYIRYRKLJXJCRDMZ6SP

not attested not anchored not stored refs pending

On a Faster $R$-Linear Convergence Rate of the Barzilai-Borwein Method

Dawei Li, Ruoyu Sun

arxiv:2101.00205 v2 · 2021-01-01 · 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{WV4MHMYWYIRYRKLJXJCRDMZ6SP}

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

Kahan's Automatic Step-Size Control for Unconstrained Optimization

Receipt and verification

First computed	2026-07-05T02:08:51.513494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b578c3b316c22388a969ba4511b33e93dbb1f0fcf9ab8ad67390ecfb404f9fda

Aliases

arxiv: 2101.00205 · arxiv_version: 2101.00205v2 · doi: 10.48550/arxiv.2101.00205 · pith_short_12: WV4MHMYWYIRY · pith_short_16: WV4MHMYWYIRYRKLJ · pith_short_8: WV4MHMYW

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/WV4MHMYWYIRYRKLJXJCRDMZ6SP \
  | 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: b578c3b316c22388a969ba4511b33e93dbb1f0fcf9ab8ad67390ecfb404f9fda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5949fe59959cee63b4b084fa45db29eba9b56ae5d516732409b5286d52e36d4b",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-01-01T09:49:47Z",
    "title_canon_sha256": "69e50e9a13ee1fff3f47d4110177ae14d66dd21ed0ccaeff6a7c33fae7df25e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.00205",
    "kind": "arxiv",
    "version": 2
  }
}