Pith Number

pith:4LQKWSN4

pith:2021:4LQKWSN4NO2PREXVPZ55XXQDN6

not attested not anchored not stored refs pending

Explicit Superlinear Convergence Rates of Broyden's Methods in Nonlinear Equations

Dachao Lin, Haishan Ye, Zhihua Zhang

arxiv:2109.01974 v5 · 2021-09-05 · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4LQKWSN4NO2PREXVPZ55XXQDN6}

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

An Enhanced Levenberg--Marquardt Method via Gram Reduction

Receipt and verification

First computed	2026-07-05T04:56:11.802380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2e0ab49bc6bb4f892f57e7bdbde036fa4797cb79370f5808578ade2ae8f5fe6

Aliases

arxiv: 2109.01974 · arxiv_version: 2109.01974v5 · doi: 10.48550/arxiv.2109.01974 · pith_short_12: 4LQKWSN4NO2P · pith_short_16: 4LQKWSN4NO2PREXV · pith_short_8: 4LQKWSN4

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/4LQKWSN4NO2PREXVPZ55XXQDN6 \
  | 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: e2e0ab49bc6bb4f892f57e7bdbde036fa4797cb79370f5808578ade2ae8f5fe6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "582717f137fedff36b1becb3cc2d81914a04155f05622780810f14207d4a10fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-09-05T02:52:59Z",
    "title_canon_sha256": "306ecf0e97e0ce767ad4d7a0e129d498ec0a5d196535b6fb6a75886605bf8e01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.01974",
    "kind": "arxiv",
    "version": 5
  }
}