PIQP
PIQP is a Proximal Interior Point Quadratic Programming solver, which can solve dense and sparse quadratic programs of the form
$$ \begin{aligned} \min_{x} \quad & \frac{1}{2} x^\top P x + c^\top x \ \text {s.t.}\quad & Ax=b, \ & h_l \leq Gx \leq h_u, \ & x_l \leq x \leq x_u, \end{aligned} $$
Combining an infeasible interior point method with the proximal method of multipliers, the algorithm can handle ill-conditioned convex QP problems without the need for linear independence of the constraints.
Features
- PIQP is written in header only C++ 14 leveraging the Eigen library for vectorized linear algebra.
- Dense and sparse problem formulations are supported. For small dense problems, vectorized instructions and cache locality can be exploited more efficiently.
- Special backend for multistage optimization problems.
- Allocation free problem updates and re-solves.
- Open source under the BSD 2-Clause License.
Interfaces
PIQP support a wide range of interfaces including
- C/C++ (with Eigen support)
- Python
- Matlab/Octave
- R
Credits
PIQP is developed by the following people:
- Roland Schwan (main developer)
- Yuning Jiang (methods and maths)
- Daniel Kuhn (methods and maths)
- Colin N. Jones (methods and maths)
All contributors are affiliated with the Laboratoire d'Automatique and/or the Risk Analytics and Optimization Chair at EPFL, Switzerland.
This work was supported by the Swiss National Science Foundation under the NCCR Automation (grant agreement 51NF40_180545).
PIQP is an adapted implementation of work by Spyridon Pougkakiotis and Jacek Gondzio, and is built on the following open-source libraries:
- Eigen: It's the work horse under the hood, responsible for producing optimized numerical linear algebra code.
- Blasfeo: Used in the sparse_multistage KKT solver backend.
- ProxSuite: The code structure (folder/namespace structure, etc.), some utility functions/helper macros, and the instruction set optimized python bindings are based on ProxSuite.
- SuiteSparse - LDL (modified version): Used for solving linear systems in the sparse solver.
- pybind11: Used for generating the python bindings.
- cpu_features: Used for run-time instruction set detection in the interface bindings.
- OSQP: The C and Matlab interface is inspired by OSQP.
- Clarabel: Parts of the iterative refinement scheme are inspired by Clarabel's implementation.
Citing our Work
If you found PIQP useful in your scientific work, we encourage you to cite our main paper:
@INPROCEEDINGS{schwan2023piqp,
author={Schwan, Roland and Jiang, Yuning and Kuhn, Daniel and Jones, Colin N.},
booktitle={IEEE Conference on Decision and Control (CDC)},
title={{PIQP}: A Proximal Interior-Point Quadratic Programming Solver},
year={2023},
volume={},
number={},
pages={1088-1093},
doi={10.1109/CDC49753.2023.10383915}
}
In case you are specifically using the sparse_multistage KKT solver backend, we encourage you to cite the specific paper:
@INPROCEEDINGS{schwan2025piqp_multistage,
author={Schwan, Roland and Kuhn, Daniel and Jones, Colin N.},
booktitle={IEEE Conference on Decision and Control (CDC)},
title={Exploiting Multistage Optimization Structure in Proximal Solvers},
year={2025},
volume={},
number={},
pages={4677-4683},
doi={10.1109/CDC57313.2025.11313030}
}
In case you are using the sparse_multistage_parallel KKT solver backend, we additionally encourage you to cite:
@misc{song2025piqp_parallel,
author={Song, Fenglong and Schwan, Roland and Chen, Yuwen and Jones, Colin N.},
title={Parallel {KKT} Solver in {PIQP} for Multistage Optimization},
year={2025},
eprint = {arXiv:2511.00946}
}
The benchmarks are available in the following repos: piqp_benchmarks, piqp_multistage_benchmarks
License
PIQP is licensed under the BSD 2-Clause License.
1 maintainer
Metadata
1 maintainer
Release files for piqp 0.7.0
For a detailed explanation of source distributions (sdists) and built distributions (wheels), please see the package formats documentation.
Source distribution (sdist)
| File | Size | Uploaded | Provenance | Actions |
|---|---|---|---|---|
| piqp-0.7.0.tar.gz | 29.5 MB | Without provenance | Details for piqp-0.7.0.tar.gz |
Built distributions (wheels)
Total release size: 122.9 MB
Release files / piqp-0.7.0.tar.gz
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| Tags | CPython 3.12 Linux glibc 2.27+ x86-64 Linux glibc 2.28+ x86-64 |
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SHA-256 checksum How to use checksums |
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Uploaded using Trusted Publishing? What is trusted publishing? |
No |
| Uploaded via |
twine/7.0.0 CPython/3.13.16
|
Release files / piqp-0.7.0-cp312-cp312-manylinux_2_26_i686.manylinux_2_28_i686.whl
| Download URL | piqp-0.7.0-cp312-cp312-manylinux_2_26_i686.manylinux_2_28_i686.whl |
|---|---|
| Size | 400.0 kB |
| Tags | CPython 3.12 Linux glibc 2.26+ x86-32 Linux glibc 2.28+ x86-32 |
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SHA-256 checksum How to use checksums |
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BLAKE2b-256 checksum How to use checksums |
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| Upload date | |
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Uploaded using Trusted Publishing? What is trusted publishing? |
No |
| Uploaded via |
twine/7.0.0 CPython/3.13.16
|
Release files / piqp-0.7.0-cp312-cp312-manylinux_2_26_aarch64.manylinux_2_28_aarch64.whl
| Download URL | piqp-0.7.0-cp312-cp312-manylinux_2_26_aarch64.manylinux_2_28_aarch64.whl |
|---|---|
| Size | 650.3 kB |
| Tags | CPython 3.12 Linux glibc 2.26+ ARM64 Linux glibc 2.28+ ARM64 |
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SHA-256 checksum How to use checksums |
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| Upload date | |
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Uploaded using Trusted Publishing? What is trusted publishing? |
No |
| Uploaded via |
twine/7.0.0 CPython/3.13.16
|
Release files / piqp-0.7.0-cp312-cp312-macosx_11_0_arm64.whl
| Download URL | piqp-0.7.0-cp312-cp312-macosx_11_0_arm64.whl |
|---|---|
| Size | 565.8 kB |
| Tags | CPython 3.12 macOS 11.0+ ARM64 |
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SHA-256 checksum How to use checksums |
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Uploaded using Trusted Publishing? What is trusted publishing? |
No |
| Uploaded via |
twine/7.0.0 CPython/3.13.16
|
Release files / piqp-0.7.0-cp312-cp312-macosx_10_13_x86_64.whl
| Download URL | piqp-0.7.0-cp312-cp312-macosx_10_13_x86_64.whl |
|---|---|
| Size | 2.0 MB |
| Tags | CPython 3.12 macOS 10.13+ x86-64 |
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SHA-256 checksum How to use checksums |
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BLAKE2b-256 checksum How to use checksums |
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| Upload date | |
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Uploaded using Trusted Publishing? What is trusted publishing? |
No |
| Uploaded via |
twine/7.0.0 CPython/3.13.16
|
Release files / piqp-0.7.0-cp311-cp311-win_amd64.whl
| Download URL | piqp-0.7.0-cp311-cp311-win_amd64.whl |
|---|---|
| Size | 1.3 MB |
| Tags | CPython 3.11 Windows x86-64 |
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SHA-256 checksum How to use checksums |
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Uploaded using Trusted Publishing? What is trusted publishing? |
No |
| Uploaded via |
twine/7.0.0 CPython/3.13.16
|
Release files / piqp-0.7.0-cp311-cp311-musllinux_1_2_x86_64.whl
| Download URL | piqp-0.7.0-cp311-cp311-musllinux_1_2_x86_64.whl |
|---|---|
| Size | 3.2 MB |
| Tags | CPython 3.11 Linux musl 1.2+ x86-64 |
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SHA-256 checksum How to use checksums |
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BLAKE2b-256 checksum How to use checksums |
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| Upload date | |
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Uploaded using Trusted Publishing? What is trusted publishing? |
No |
| Uploaded via |
twine/7.0.0 CPython/3.13.16
|
Release files / piqp-0.7.0-cp311-cp311-musllinux_1_2_i686.whl
| Download URL | piqp-0.7.0-cp311-cp311-musllinux_1_2_i686.whl |
|---|---|
| Size | 1.5 MB |
| Tags | CPython 3.11 Linux musl 1.2+ x86-32 |
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SHA-256 checksum How to use checksums |
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| Upload date | |
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Uploaded using Trusted Publishing? What is trusted publishing? |
No |
| Uploaded via |
twine/7.0.0 CPython/3.13.16
|
Release files / piqp-0.7.0-cp311-cp311-musllinux_1_2_aarch64.whl
| Download URL | piqp-0.7.0-cp311-cp311-musllinux_1_2_aarch64.whl |
|---|---|
| Size | 1.6 MB |
| Tags | CPython 3.11 Linux musl 1.2+ ARM64 |
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SHA-256 checksum How to use checksums |
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Uploaded using Trusted Publishing? What is trusted publishing? |
No |
| Uploaded via |
twine/7.0.0 CPython/3.13.16
|
Release files / piqp-0.7.0-cp311-cp311-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl
| Download URL | piqp-0.7.0-cp311-cp311-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl |
|---|---|
| Size | 2.1 MB |
| Tags | CPython 3.11 Linux glibc 2.27+ x86-64 Linux glibc 2.28+ x86-64 |
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SHA-256 checksum How to use checksums |
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BLAKE2b-256 checksum How to use checksums |
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| Upload date | |
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Uploaded using Trusted Publishing? What is trusted publishing? |
No |
| Uploaded via |
twine/7.0.0 CPython/3.13.16
|
Release files / piqp-0.7.0-cp311-cp311-manylinux_2_26_i686.manylinux_2_28_i686.whl
| Download URL | piqp-0.7.0-cp311-cp311-manylinux_2_26_i686.manylinux_2_28_i686.whl |
|---|---|
| Size | 396.5 kB |
| Tags | CPython 3.11 Linux glibc 2.26+ x86-32 Linux glibc 2.28+ x86-32 |
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SHA-256 checksum How to use checksums |
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BLAKE2b-256 checksum How to use checksums |
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| Upload date | |
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Uploaded using Trusted Publishing? What is trusted publishing? |
No |
| Uploaded via |
twine/7.0.0 CPython/3.13.16
|
Release files / piqp-0.7.0-cp311-cp311-manylinux_2_26_aarch64.manylinux_2_28_aarch64.whl
| Download URL | piqp-0.7.0-cp311-cp311-manylinux_2_26_aarch64.manylinux_2_28_aarch64.whl |
|---|---|
| Size | 647.0 kB |
| Tags | CPython 3.11 Linux glibc 2.26+ ARM64 Linux glibc 2.28+ ARM64 |
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SHA-256 checksum How to use checksums |
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BLAKE2b-256 checksum How to use checksums |
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| Upload date | |
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Uploaded using Trusted Publishing? What is trusted publishing? |
No |
| Uploaded via |
twine/7.0.0 CPython/3.13.16
|
Release files / piqp-0.7.0-cp311-cp311-macosx_11_0_arm64.whl
| Download URL | piqp-0.7.0-cp311-cp311-macosx_11_0_arm64.whl |
|---|---|
| Size | 564.8 kB |
| Tags | CPython 3.11 macOS 11.0+ ARM64 |
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SHA-256 checksum How to use checksums |
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BLAKE2b-256 checksum How to use checksums |
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| Upload date | |
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Uploaded using Trusted Publishing? What is trusted publishing? |
No |
| Uploaded via |
twine/7.0.0 CPython/3.13.16
|
Release files / piqp-0.7.0-cp311-cp311-macosx_10_9_x86_64.whl
| Download URL | piqp-0.7.0-cp311-cp311-macosx_10_9_x86_64.whl |
|---|---|
| Size | 2.0 MB |
| Tags | CPython 3.11 macOS 10.9+ x86-64 |
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SHA-256 checksum How to use checksums |
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BLAKE2b-256 checksum How to use checksums |
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| Upload date | |
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Uploaded using Trusted Publishing? What is trusted publishing? |
No |
| Uploaded via |
twine/7.0.0 CPython/3.13.16
|
Release files / piqp-0.7.0-cp310-cp310-win_amd64.whl
| Download URL | piqp-0.7.0-cp310-cp310-win_amd64.whl |
|---|---|
| Size | 1.3 MB |
| Tags | CPython 3.10 Windows x86-64 |
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SHA-256 checksum How to use checksums |
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BLAKE2b-256 checksum How to use checksums |
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| Upload date | |
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Uploaded using Trusted Publishing? What is trusted publishing? |
No |
| Uploaded via |
twine/7.0.0 CPython/3.13.16
|
Release files / piqp-0.7.0-cp310-cp310-musllinux_1_2_x86_64.whl
| Download URL | piqp-0.7.0-cp310-cp310-musllinux_1_2_x86_64.whl |
|---|---|
| Size | 3.2 MB |
| Tags | CPython 3.10 Linux musl 1.2+ x86-64 |
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SHA-256 checksum How to use checksums |
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BLAKE2b-256 checksum How to use checksums |
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| Upload date | |
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Uploaded using Trusted Publishing? What is trusted publishing? |
No |
| Uploaded via |
twine/7.0.0 CPython/3.13.16
|
Release files / piqp-0.7.0-cp310-cp310-musllinux_1_2_i686.whl
| Download URL | piqp-0.7.0-cp310-cp310-musllinux_1_2_i686.whl |
|---|---|
| Size | 1.5 MB |
| Tags | CPython 3.10 Linux musl 1.2+ x86-32 |
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SHA-256 checksum How to use checksums |
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BLAKE2b-256 checksum How to use checksums |
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| Upload date | |
|
Uploaded using Trusted Publishing? What is trusted publishing? |
No |
| Uploaded via |
twine/7.0.0 CPython/3.13.16
|
Release files / piqp-0.7.0-cp310-cp310-musllinux_1_2_aarch64.whl
| Download URL | piqp-0.7.0-cp310-cp310-musllinux_1_2_aarch64.whl |
|---|---|
| Size | 1.6 MB |
| Tags | CPython 3.10 Linux musl 1.2+ ARM64 |
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SHA-256 checksum How to use checksums |
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BLAKE2b-256 checksum How to use checksums |
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| Upload date | |
|
Uploaded using Trusted Publishing? What is trusted publishing? |
No |
| Uploaded via |
twine/7.0.0 CPython/3.13.16
|
Release files / piqp-0.7.0-cp310-cp310-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl
| Download URL | piqp-0.7.0-cp310-cp310-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl |
|---|---|
| Size | 2.1 MB |
| Tags | CPython 3.10 Linux glibc 2.27+ x86-64 Linux glibc 2.28+ x86-64 |
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SHA-256 checksum How to use checksums |
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BLAKE2b-256 checksum How to use checksums |
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| Upload date | |
|
Uploaded using Trusted Publishing? What is trusted publishing? |
No |
| Uploaded via |
twine/7.0.0 CPython/3.13.16
|
Release files / piqp-0.7.0-cp310-cp310-manylinux_2_26_i686.manylinux_2_28_i686.whl
| Download URL | piqp-0.7.0-cp310-cp310-manylinux_2_26_i686.manylinux_2_28_i686.whl |
|---|---|
| Size | 395.8 kB |
| Tags | CPython 3.10 Linux glibc 2.26+ x86-32 Linux glibc 2.28+ x86-32 |
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SHA-256 checksum How to use checksums |
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BLAKE2b-256 checksum How to use checksums |
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| Upload date | |
|
Uploaded using Trusted Publishing? What is trusted publishing? |
No |
| Uploaded via |
twine/7.0.0 CPython/3.13.16
|
Release files / piqp-0.7.0-cp310-cp310-manylinux_2_26_aarch64.manylinux_2_28_aarch64.whl
| Download URL | piqp-0.7.0-cp310-cp310-manylinux_2_26_aarch64.manylinux_2_28_aarch64.whl |
|---|---|
| Size | 645.0 kB |
| Tags | CPython 3.10 Linux glibc 2.26+ ARM64 Linux glibc 2.28+ ARM64 |
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SHA-256 checksum How to use checksums |
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BLAKE2b-256 checksum How to use checksums |
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| Upload date | |
|
Uploaded using Trusted Publishing? What is trusted publishing? |
No |
| Uploaded via |
twine/7.0.0 CPython/3.13.16
|
Release files / piqp-0.7.0-cp310-cp310-macosx_11_0_arm64.whl
| Download URL | piqp-0.7.0-cp310-cp310-macosx_11_0_arm64.whl |
|---|---|
| Size | 562.4 kB |
| Tags | CPython 3.10 macOS 11.0+ ARM64 |
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SHA-256 checksum How to use checksums |
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BLAKE2b-256 checksum How to use checksums |
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| Upload date | |
|
Uploaded using Trusted Publishing? What is trusted publishing? |
No |
| Uploaded via |
twine/7.0.0 CPython/3.13.16
|
Release files / piqp-0.7.0-cp310-cp310-macosx_10_9_x86_64.whl
| Download URL | piqp-0.7.0-cp310-cp310-macosx_10_9_x86_64.whl |
|---|---|
| Size | 2.0 MB |
| Tags | CPython 3.10 macOS 10.9+ x86-64 |
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SHA-256 checksum How to use checksums |
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BLAKE2b-256 checksum How to use checksums |
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| Upload date | |
|
Uploaded using Trusted Publishing? What is trusted publishing? |
No |
| Uploaded via |
twine/7.0.0 CPython/3.13.16
|
Release files / piqp-0.7.0-cp39-cp39-win_amd64.whl
| Download URL | piqp-0.7.0-cp39-cp39-win_amd64.whl |
|---|---|
| Size | 1.3 MB |
| Tags | CPython 3.9 Windows x86-64 |
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SHA-256 checksum How to use checksums |
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BLAKE2b-256 checksum How to use checksums |
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| Upload date | |
|
Uploaded using Trusted Publishing? What is trusted publishing? |
No |
| Uploaded via |
twine/7.0.0 CPython/3.13.16
|
Release files / piqp-0.7.0-cp39-cp39-musllinux_1_2_x86_64.whl
| Download URL | piqp-0.7.0-cp39-cp39-musllinux_1_2_x86_64.whl |
|---|---|
| Size | 3.2 MB |
| Tags | CPython 3.9 Linux musl 1.2+ x86-64 |
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SHA-256 checksum How to use checksums |
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BLAKE2b-256 checksum How to use checksums |
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| Upload date | |
|
Uploaded using Trusted Publishing? What is trusted publishing? |
No |
| Uploaded via |
twine/7.0.0 CPython/3.13.16
|
Release files / piqp-0.7.0-cp39-cp39-musllinux_1_2_i686.whl
| Download URL | piqp-0.7.0-cp39-cp39-musllinux_1_2_i686.whl |
|---|---|
| Size | 1.5 MB |
| Tags | CPython 3.9 Linux musl 1.2+ x86-32 |
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SHA-256 checksum How to use checksums |
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BLAKE2b-256 checksum How to use checksums |
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| Upload date | |
|
Uploaded using Trusted Publishing? What is trusted publishing? |
No |
| Uploaded via |
twine/7.0.0 CPython/3.13.16
|
Release files / piqp-0.7.0-cp39-cp39-musllinux_1_2_aarch64.whl
| Download URL | piqp-0.7.0-cp39-cp39-musllinux_1_2_aarch64.whl |
|---|---|
| Size | 1.7 MB |
| Tags | CPython 3.9 Linux musl 1.2+ ARM64 |
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SHA-256 checksum How to use checksums |
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BLAKE2b-256 checksum How to use checksums |
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| Upload date | |
|
Uploaded using Trusted Publishing? What is trusted publishing? |
No |
| Uploaded via |
twine/7.0.0 CPython/3.13.16
|
Release files / piqp-0.7.0-cp39-cp39-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl
| Download URL | piqp-0.7.0-cp39-cp39-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl |
|---|---|
| Size | 2.1 MB |
| Tags | CPython 3.9 Linux glibc 2.27+ x86-64 Linux glibc 2.28+ x86-64 |
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SHA-256 checksum How to use checksums |
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Release files / piqp-0.7.0-cp39-cp39-manylinux_2_26_i686.manylinux_2_28_i686.whl
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| Uploaded via |
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Release files / piqp-0.7.0-cp39-cp39-manylinux_2_26_aarch64.manylinux_2_28_aarch64.whl
| Download URL | piqp-0.7.0-cp39-cp39-manylinux_2_26_aarch64.manylinux_2_28_aarch64.whl |
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No |
| Uploaded via |
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Release files / piqp-0.7.0-cp39-cp39-macosx_11_0_arm64.whl
| Download URL | piqp-0.7.0-cp39-cp39-macosx_11_0_arm64.whl |
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Release files / piqp-0.7.0-cp39-cp39-macosx_10_9_x86_64.whl
| Download URL | piqp-0.7.0-cp39-cp39-macosx_10_9_x86_64.whl |
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Release files / piqp-0.7.0-cp38-cp38-win_amd64.whl
| Download URL | piqp-0.7.0-cp38-cp38-win_amd64.whl |
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| Size | 1.2 MB |
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Release files / piqp-0.7.0-cp38-cp38-musllinux_1_2_x86_64.whl
| Download URL | piqp-0.7.0-cp38-cp38-musllinux_1_2_x86_64.whl |
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| Size | 3.1 MB |
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No |
| Uploaded via |
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Release files / piqp-0.7.0-cp38-cp38-musllinux_1_2_i686.whl
| Download URL | piqp-0.7.0-cp38-cp38-musllinux_1_2_i686.whl |
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| Size | 1.5 MB |
| Tags | CPython 3.8 Linux musl 1.2+ x86-32 |
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No |
| Uploaded via |
twine/7.0.0 CPython/3.13.16
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Release files / piqp-0.7.0-cp38-cp38-musllinux_1_2_aarch64.whl
| Download URL | piqp-0.7.0-cp38-cp38-musllinux_1_2_aarch64.whl |
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| Size | 1.6 MB |
| Tags | CPython 3.8 Linux musl 1.2+ ARM64 |
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No |
| Uploaded via |
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Release files / piqp-0.7.0-cp38-cp38-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl
| Download URL | piqp-0.7.0-cp38-cp38-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl |
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| Tags | CPython 3.8 Linux glibc 2.27+ x86-64 Linux glibc 2.28+ x86-64 |
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Uploaded using Trusted Publishing? What is trusted publishing? |
No |
| Uploaded via |
twine/7.0.0 CPython/3.13.16
|
Release files / piqp-0.7.0-cp38-cp38-manylinux_2_26_i686.manylinux_2_28_i686.whl
| Download URL | piqp-0.7.0-cp38-cp38-manylinux_2_26_i686.manylinux_2_28_i686.whl |
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| Size | 393.0 kB |
| Tags | CPython 3.8 Linux glibc 2.26+ x86-32 Linux glibc 2.28+ x86-32 |
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Uploaded using Trusted Publishing? What is trusted publishing? |
No |
| Uploaded via |
twine/7.0.0 CPython/3.13.16
|
Release files / piqp-0.7.0-cp38-cp38-manylinux_2_26_aarch64.manylinux_2_28_aarch64.whl
| Download URL | piqp-0.7.0-cp38-cp38-manylinux_2_26_aarch64.manylinux_2_28_aarch64.whl |
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| Size | 642.6 kB |
| Tags | CPython 3.8 Linux glibc 2.26+ ARM64 Linux glibc 2.28+ ARM64 |
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No |
| Uploaded via |
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Release files / piqp-0.7.0-cp38-cp38-macosx_11_0_arm64.whl
| Download URL | piqp-0.7.0-cp38-cp38-macosx_11_0_arm64.whl |
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| Size | 560.8 kB |
| Tags | CPython 3.8 macOS 11.0+ ARM64 |
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No |
| Uploaded via |
twine/7.0.0 CPython/3.13.16
|
Release files / piqp-0.7.0-cp38-cp38-macosx_10_9_x86_64.whl
| Download URL | piqp-0.7.0-cp38-cp38-macosx_10_9_x86_64.whl |
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| Size | 2.0 MB |
| Tags | CPython 3.8 macOS 10.9+ x86-64 |
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| Uploaded via |
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Security for piqp 0.7.0
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