PAPER: Refresh countable claims and the Zenodo reference entry

Full read requested by the handling editor before recommend-accept
(openjournals/joss-reviews#10366). Four numbers had drifted:

- The `peroxide` bibliography entry still described the v0.41.0 deposit
  with a single author and the old Zenodo title. The archived record
  now carries all eight authors under the manuscript title, so the
  entry is updated to match what the DOI resolves to.
- Standalone examples went from 41 to 42 in v0.42.0.
- "A test suite of 26 modules" matched no measurable quantity. The
  repository has 22 integration test modules holding 225 tests, plus
  255 documentation tests, all countable from `cargo test`.
- Downloads and stars were quoted from March 2026 figures.

The remaining countable claims were re-verified against the source and
left alone: eight domains, ten ODE integrators, five root-finding
solvers, six Gauss-Kronrod orders, and the 115 `Jet<N>` unit tests in
tests/jet_tests.rs.

Author: Axect

paper/paper.bib

@@ -1,8 +1,8 @@
 % ===== Peroxide itself =====
 @software{peroxide,
-  author       = {Kim, Tae-Geun},
-  title        = {{Peroxide: Rust numeric library containing linear algebra, numerical analysis, statistics, and machine learning tools}},
-  version      = {0.41.0},
+  author       = {Kim, Tae-Geun and Comitini, Giorgio and Grage, Jonas and Joens, Benjamin and Schreiber, Marc and Sen, Soumya and Senthamarai, Russell R P and S\"{o}rng\r{a}rd, Johanna},
+  title        = {{Peroxide: A Batteries-Included Numerical Computing Library for Rust}},
+  version      = {0.43.1},
   year         = {2026},
   publisher    = {Zenodo},
   doi          = {10.5281/zenodo.10815823},

paper/paper.md

@@ -150,17 +150,17 @@ let area = integrate(|x| x.sin(), (0.0, PI), GaussLegendre(15));
 
 # Research impact statement
 
-Peroxide has been on crates.io since 2018, with over 1,100,000 downloads and 700 GitHub stars.
+Peroxide has been on crates.io since 2018, with over 1,250,000 downloads and more than 700 GitHub stars.
 Independent researchers have adopted Peroxide in peer-reviewed work: @comitini2025 used its Gauss-Kronrod quadrature for QCD screened massive expansion calculations, and @steuteville2024 identified Peroxide as one of the three most widely used Rust ODE solver packages in a survey conducted at the U.S. National Renewable Energy Laboratory.
 The author's own work has used Peroxide's implicit Gauss-Legendre ODE solver for symplectic reference solutions [@neural_hamilton], for dataset generation [@hyperboliclr], and for primordial black hole axion spectra via Gauss-Kronrod quadrature and cubic Hermite splines [@jho2026].
 The Zenodo archive [@peroxide] ensures long-term citability and reproducibility.
 
 # Validation
 
-We maintain a test suite of 26 modules; the AD module alone has 115 unit tests verifying `Jet<N>` at orders $N = 1$ through $10$ against symbolic reference values.
+We maintain 22 integration test modules with 225 tests and 255 documentation tests; the AD module alone has 115 unit tests verifying `Jet<N>` at orders $N = 1$ through $10$ against symbolic reference values.
 `Jet<N>` achieves machine-epsilon relative errors ($\sim 10^{-15}$) across all tested orders, while central finite differences degrade to $O(1)$ by order four due to the truncation/cancellation trade-off [@press2007].
 ODE integrators are tested against analytic solutions, with continuous integration on every push via GitHub Actions.
-The repository provides 41 standalone examples; API documentation (with KaTeX-rendered mathematics) is published on [docs.rs/peroxide](https://docs.rs/peroxide).
+The repository provides 42 standalone examples; API documentation (with KaTeX-rendered mathematics) is published on [docs.rs/peroxide](https://docs.rs/peroxide).
 Community guidelines are available in `CONTRIBUTING.md`.
 
 # Limitations