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pulp

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PuLP is an linear and mixed integer programming modeler written in Python. With PuLP, it is simple to create MILP optimisation problems and solve them with the latest open-source (or proprietary) solvers. PuLP can generate MPS or LP files and call solvers such as GLPK, COIN-OR CLP/CBC, CPLEX, GUROBI, MOSEK, XPRESS, CHOCO, MIPCL, HiGHS, SCIP/FSCIP, and OR-Tools CP-SAT (via the CPSAT API).

The documentation for PuLP can be found here.

PuLP is part of the COIN-OR project.

Installation

PuLP requires Python 3.12 or newer.

Recommended: install with CBC support:

python -m pip install pulp[cbc]

Plain python -m pip install pulp installs only the modeler; you must then supply your own CBC on PATH or another solver.

Otherwise follow the download instructions on the PyPi page.

Installing solvers

PuLP can use a variety of solvers. When CBC is available (via pulp[cbc] or cbc on PATH), COIN_CMD is the usual open-source MIP/LP choice and is selected as the default ahead of GLPK. PuLP can also install other solvers via optional PyPI extras (some require a commercial license for running or for large models):

python -m pip install pulp[gurobi]
python -m pip install pulp[cplex]
python -m pip install pulp[xpress]
python -m pip install pulp[scip]
python -m pip install pulp[highs]
python -m pip install pulp[copt]
python -m pip install pulp[mosek]
python -m pip install pulp[ortools]
python -m pip install pulp[cylp]
python -m pip install pulp[cbc]
python -m pip install pulp[glpk]
If you want to install all open source solvers (scip, highs, cbc, glpk), you can use the shortcut::

python -m pip install pulp[open_py]

For more information on how to install solvers, see the guide on configuring solvers.

Quickstart

Use LpProblem to create a problem, then add variables with add_variable. Create a problem called “myProblem” and a variable x with 0 ≤ x ≤ 3:

from pulp import *
prob = LpProblem("myProblem", LpMinimize)
x = prob.add_variable("x", 0, 3)

To create a binary variable y (values 0 or 1):

y = prob.add_variable("y", cat="Binary")

Combine variables to create expressions and constraints and add them to the problem:

prob += x + y <= 2

An expression is a constraint without a right-hand side (RHS) sense (one of =, <= or >=). If you add an expression to a problem, it will become the objective:

prob += -4*x + y

To solve the problem with the default solver (CBC when installed via pulp[cbc] or cbc on PATH, otherwise another available backend):

stats = prob.solve()

If you want to try another solver to solve the problem:

stats = prob.solve(GLPK(msg = 0))

GLPK uses GLPK’s command-line tool (glpsol) and requires it to be on your PATH. To use GLPK’s python API instead, install python -m pip install pulp[glpk] and use PYGLPK:

status = prob.solve(PYGLPK(msg = 0))

To use the OR-Tools CP-SAT solver (install with python -m pip install pulp[ortools]). Every variable must have finite lower and upper bounds; continuous variables are solved on their integer-rounded domain:

from pulp import CPSAT
stats = prob.solve(CPSAT(msg=False))

Display the status of the solution:

stats.status_str
> 'Optimal'

You can get the value of the variables using value. ex:

value(x)
> 2.0

Essential Classes

These types form the usual modelling workflow: create an LpProblem, attach LpVariable instances with add_variable, build linear expressions (often with lpSum / lpDot / lpSum_vars / lpSum_vars_coefs), combine them into LpConstraint rows, and call solve.

  • LpProblem – Container for an LP or MIP: variables, objective, constraints, and solve API

  • LpVariable – A decision variable belonging to one problem; used inside expressions and constraints

  • LpAffineExpression – A linear combination of variables and a constant (objectives, constraint bodies, intermediate terms)

  • LpConstraint – A single row relating an affine expression to a bound with <=, =, or >=:

    a1x1 + a2x2 + … + anxn (<=, =, >=) b

Useful Functions

  • value() – Finds the value of a variable or expression

  • lpSum() – Given a list of the form [a1*x1, a2*x2, …, an*xn] will construct a linear expression to be used as a constraint or variable

  • lpDot() – Given two lists of the form [a1, a2, …, an] and [x1, x2, …, xn] will construct a linear expression to be used as a constraint or variable

  • lpSum_vars() – Sum of variables with coefficient 1 each (batch construction)

  • lpSum_vars_coefs() – Sum of coeff * var pairs from an iterable of (variable, coefficient) (batch construction)

More Examples

Several tutorial are given in documentation and pure code examples are available in examples/ directory .

The examples assume CBC is available (for example after pip install pulp[cbc]). To use other solvers they must be available (installed and accessible). For more information, see the guide on configuring solvers.

For Developers

If you want to install the latest version from GitHub you can run:

python -m pip install -U "pulp[cbc] @ git+https://github.com/coin-or/pulp.git"

Building from source

This version of PuLP includes a Rust extension (pulp._rustcore) that provides the core model, variables, constraints, and expressions. The build uses maturin and requires a Rust toolchain in addition to Python.

Requirements

  • Python 3.12 or newer

  • Rust (latest stable). Install from https://rustup.rs/

  • uv (recommended for install and dev). See the uv documentation for installation.

  • OS: Windows, macOS (x86_64, arm64), or Linux (x86_64, arm64). The Rust extension is built for the host platform.

Build steps

From the PuLP root directory, create a virtual environment and install the package in editable mode with dev dependencies:

uv venv
uv pip install --group dev -e .[cbc]

Or with plain pip (maturin will be used automatically by the build backend):

python -m venv .venv
source .venv/bin/activate   # Windows: .venv\Scripts\activate
python -m pip install --upgrade pip
python -m pip install -e ".[cbc]"

Running tests

uv run python -m unittest discover -s pulp/tests -v

Building the documentation

The PuLP documentation is built with Sphinx. Use a virtual environment and the dev install above, then:

cd doc
make html

A folder named html will be created inside doc/build/. Open doc/build/html/index.html in a browser.

Contributing to PuLP

Instructions for making your first contribution to PuLP are given here.

Comments, bug reports, patches and suggestions are very welcome!

Metadata

Release files for PuLP 4.1.0

For a detailed explanation of source distributions (sdists) and built distributions (wheels), please see the package formats documentation.

Source distribution (sdist)

Source distribution for PuLP 4.1.0
File Size Uploaded Provenance
pulp-4.1.0.tar.gz 165.9 kB Without provenance Details

Built distributions (wheels)

Table of built distributions (wheels) for PuLP 4.1.0
File
pulp-4.1.0-cp315-cp315t-manylinux_2_17_x86_64.manylinux2014_x86_64.whl CPython 3.15 CPython 3.15 free-threading Linux glibc 2.17+ x86-64 Details
pulp-4.1.0-cp315-cp315t-manylinux_2_5_i686.manylinux1_i686.whl CPython 3.15 CPython 3.15 free-threading Linux glibc 2.5+ x86-32 Details
pulp-4.1.0-cp315-cp315-manylinux_2_17_x86_64.manylinux2014_x86_64.whl CPython 3.15 CPython 3.15 Linux glibc 2.17+ x86-64 Details
pulp-4.1.0-cp315-cp315-manylinux_2_5_i686.manylinux1_i686.whl CPython 3.15 CPython 3.15 Linux glibc 2.5+ x86-32 Details
pulp-4.1.0-cp315-cp315-macosx_11_0_arm64.whl CPython 3.15 CPython 3.15 macOS 11.0+ ARM64 Details
pulp-4.1.0-cp314-cp314t-musllinux_1_2_x86_64.whl CPython 3.14 CPython 3.14 free-threading Linux musl 1.2+ x86-64 Details
pulp-4.1.0-cp314-cp314t-musllinux_1_2_i686.whl CPython 3.14 CPython 3.14 free-threading Linux musl 1.2+ x86-32 Details
pulp-4.1.0-cp314-cp314t-musllinux_1_2_armv7l.whl CPython 3.14 CPython 3.14 free-threading Linux musl 1.2+ ARMv7l Details
pulp-4.1.0-cp314-cp314t-musllinux_1_2_aarch64.whl CPython 3.14 CPython 3.14 free-threading Linux musl 1.2+ ARM64 Details
pulp-4.1.0-cp314-cp314t-manylinux_2_17_x86_64.manylinux2014_x86_64.whl CPython 3.14 CPython 3.14 free-threading Linux glibc 2.17+ x86-64 Details
pulp-4.1.0-cp314-cp314t-manylinux_2_17_s390x.manylinux2014_s390x.whl CPython 3.14 CPython 3.14 free-threading Linux glibc 2.17+ IBM System/390x Details
pulp-4.1.0-cp314-cp314t-manylinux_2_17_ppc64le.manylinux2014_ppc64le.whl CPython 3.14 CPython 3.14 free-threading Linux glibc 2.17+ PowerPC 64-le Details
pulp-4.1.0-cp314-cp314t-manylinux_2_17_armv7l.manylinux2014_armv7l.whl CPython 3.14 CPython 3.14 free-threading Linux glibc 2.17+ ARMv7l Details
pulp-4.1.0-cp314-cp314t-manylinux_2_17_aarch64.manylinux2014_aarch64.whl CPython 3.14 CPython 3.14 free-threading Linux glibc 2.17+ ARM64 Details
pulp-4.1.0-cp314-cp314t-manylinux_2_5_i686.manylinux1_i686.whl CPython 3.14 CPython 3.14 free-threading Linux glibc 2.5+ x86-32 Details
pulp-4.1.0-cp314-cp314-win_arm64.whl CPython 3.14 CPython 3.14 Windows ARM64 Details
pulp-4.1.0-cp314-cp314-win_amd64.whl CPython 3.14 CPython 3.14 Windows x86-64 Details
pulp-4.1.0-cp314-cp314-musllinux_1_2_x86_64.whl CPython 3.14 CPython 3.14 Linux musl 1.2+ x86-64 Details
pulp-4.1.0-cp314-cp314-musllinux_1_2_i686.whl CPython 3.14 CPython 3.14 Linux musl 1.2+ x86-32 Details
pulp-4.1.0-cp314-cp314-musllinux_1_2_armv7l.whl CPython 3.14 CPython 3.14 Linux musl 1.2+ ARMv7l Details
pulp-4.1.0-cp314-cp314-musllinux_1_2_aarch64.whl CPython 3.14 CPython 3.14 Linux musl 1.2+ ARM64 Details
pulp-4.1.0-cp314-cp314-manylinux_2_17_x86_64.manylinux2014_x86_64.whl CPython 3.14 CPython 3.14 Linux glibc 2.17+ x86-64 Details
pulp-4.1.0-cp314-cp314-manylinux_2_17_s390x.manylinux2014_s390x.whl CPython 3.14 CPython 3.14 Linux glibc 2.17+ IBM System/390x Details
pulp-4.1.0-cp314-cp314-manylinux_2_17_ppc64le.manylinux2014_ppc64le.whl CPython 3.14 CPython 3.14 Linux glibc 2.17+ PowerPC 64-le Details
pulp-4.1.0-cp314-cp314-manylinux_2_17_armv7l.manylinux2014_armv7l.whl CPython 3.14 CPython 3.14 Linux glibc 2.17+ ARMv7l Details
pulp-4.1.0-cp314-cp314-manylinux_2_17_aarch64.manylinux2014_aarch64.whl CPython 3.14 CPython 3.14 Linux glibc 2.17+ ARM64 Details
pulp-4.1.0-cp314-cp314-manylinux_2_5_i686.manylinux1_i686.whl CPython 3.14 CPython 3.14 Linux glibc 2.5+ x86-32 Details
pulp-4.1.0-cp314-cp314-macosx_11_0_arm64.whl CPython 3.14 CPython 3.14 macOS 11.0+ ARM64 Details
pulp-4.1.0-cp314-cp314-macosx_10_12_x86_64.whl CPython 3.14 CPython 3.14 macOS 10.12+ x86-64 Details
pulp-4.1.0-cp313-cp313-win_arm64.whl CPython 3.13 CPython 3.13 Windows ARM64 Details
pulp-4.1.0-cp313-cp313-win_amd64.whl CPython 3.13 CPython 3.13 Windows x86-64 Details
pulp-4.1.0-cp313-cp313-win32.whl CPython 3.13 CPython 3.13 Windows x86-32 Details
pulp-4.1.0-cp313-cp313-musllinux_1_2_x86_64.whl CPython 3.13 CPython 3.13 Linux musl 1.2+ x86-64 Details
pulp-4.1.0-cp313-cp313-musllinux_1_2_i686.whl CPython 3.13 CPython 3.13 Linux musl 1.2+ x86-32 Details
pulp-4.1.0-cp313-cp313-musllinux_1_2_armv7l.whl CPython 3.13 CPython 3.13 Linux musl 1.2+ ARMv7l Details
pulp-4.1.0-cp313-cp313-musllinux_1_2_aarch64.whl CPython 3.13 CPython 3.13 Linux musl 1.2+ ARM64 Details
pulp-4.1.0-cp313-cp313-manylinux_2_17_x86_64.manylinux2014_x86_64.whl CPython 3.13 CPython 3.13 Linux glibc 2.17+ x86-64 Details
pulp-4.1.0-cp313-cp313-manylinux_2_17_s390x.manylinux2014_s390x.whl CPython 3.13 CPython 3.13 Linux glibc 2.17+ IBM System/390x Details
pulp-4.1.0-cp313-cp313-manylinux_2_17_ppc64le.manylinux2014_ppc64le.whl CPython 3.13 CPython 3.13 Linux glibc 2.17+ PowerPC 64-le Details
pulp-4.1.0-cp313-cp313-manylinux_2_17_armv7l.manylinux2014_armv7l.whl CPython 3.13 CPython 3.13 Linux glibc 2.17+ ARMv7l Details
pulp-4.1.0-cp313-cp313-manylinux_2_17_aarch64.manylinux2014_aarch64.whl CPython 3.13 CPython 3.13 Linux glibc 2.17+ ARM64 Details
pulp-4.1.0-cp313-cp313-manylinux_2_5_i686.manylinux1_i686.whl CPython 3.13 CPython 3.13 Linux glibc 2.5+ x86-32 Details
pulp-4.1.0-cp313-cp313-macosx_11_0_arm64.whl CPython 3.13 CPython 3.13 macOS 11.0+ ARM64 Details
pulp-4.1.0-cp313-cp313-macosx_10_12_x86_64.whl CPython 3.13 CPython 3.13 macOS 10.12+ x86-64 Details
pulp-4.1.0-cp312-cp312-win_arm64.whl CPython 3.12 CPython 3.12 Windows ARM64 Details
pulp-4.1.0-cp312-cp312-win_amd64.whl CPython 3.12 CPython 3.12 Windows x86-64 Details
pulp-4.1.0-cp312-cp312-musllinux_1_2_x86_64.whl CPython 3.12 CPython 3.12 Linux musl 1.2+ x86-64 Details
pulp-4.1.0-cp312-cp312-musllinux_1_2_i686.whl CPython 3.12 CPython 3.12 Linux musl 1.2+ x86-32 Details
pulp-4.1.0-cp312-cp312-musllinux_1_2_armv7l.whl CPython 3.12 CPython 3.12 Linux musl 1.2+ ARMv7l Details
pulp-4.1.0-cp312-cp312-musllinux_1_2_aarch64.whl CPython 3.12 CPython 3.12 Linux musl 1.2+ ARM64 Details
pulp-4.1.0-cp312-cp312-manylinux_2_17_x86_64.manylinux2014_x86_64.whl CPython 3.12 CPython 3.12 Linux glibc 2.17+ x86-64 Details
pulp-4.1.0-cp312-cp312-manylinux_2_17_s390x.manylinux2014_s390x.whl CPython 3.12 CPython 3.12 Linux glibc 2.17+ IBM System/390x Details
pulp-4.1.0-cp312-cp312-manylinux_2_17_ppc64le.manylinux2014_ppc64le.whl CPython 3.12 CPython 3.12 Linux glibc 2.17+ PowerPC 64-le Details
pulp-4.1.0-cp312-cp312-manylinux_2_17_armv7l.manylinux2014_armv7l.whl CPython 3.12 CPython 3.12 Linux glibc 2.17+ ARMv7l Details
pulp-4.1.0-cp312-cp312-manylinux_2_17_aarch64.manylinux2014_aarch64.whl CPython 3.12 CPython 3.12 Linux glibc 2.17+ ARM64 Details
pulp-4.1.0-cp312-cp312-manylinux_2_5_i686.manylinux1_i686.whl CPython 3.12 CPython 3.12 Linux glibc 2.5+ x86-32 Details
pulp-4.1.0-cp312-cp312-macosx_11_0_arm64.whl CPython 3.12 CPython 3.12 macOS 11.0+ ARM64 Details
pulp-4.1.0-cp312-cp312-macosx_10_12_x86_64.whl CPython 3.12 CPython 3.12 macOS 10.12+ x86-64 Details

Total release size: 43.8 MB

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Release files / pulp-4.1.0-cp314-cp314t-manylinux_2_17_s390x.manylinux2014_s390x.whl

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Release files / pulp-4.1.0-cp314-cp314t-manylinux_2_17_ppc64le.manylinux2014_ppc64le.whl

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Release files / pulp-4.1.0-cp314-cp314t-manylinux_2_17_aarch64.manylinux2014_aarch64.whl

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Release files / pulp-4.1.0-cp314-cp314t-manylinux_2_5_i686.manylinux1_i686.whl

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Release files / pulp-4.1.0-cp314-cp314-win_arm64.whl

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Release files / pulp-4.1.0-cp314-cp314-win_amd64.whl

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Release files / pulp-4.1.0-cp314-cp314-musllinux_1_2_x86_64.whl

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Release files / pulp-4.1.0-cp314-cp314-musllinux_1_2_i686.whl

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Release files / pulp-4.1.0-cp314-cp314-musllinux_1_2_aarch64.whl

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Release files / pulp-4.1.0-cp314-cp314-manylinux_2_17_x86_64.manylinux2014_x86_64.whl

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Release files / pulp-4.1.0-cp314-cp314-manylinux_2_17_s390x.manylinux2014_s390x.whl

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Release files / pulp-4.1.0-cp314-cp314-manylinux_2_17_ppc64le.manylinux2014_ppc64le.whl

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Release files / pulp-4.1.0-cp314-cp314-manylinux_2_17_aarch64.manylinux2014_aarch64.whl

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Release files / pulp-4.1.0-cp314-cp314-manylinux_2_5_i686.manylinux1_i686.whl

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Release files / pulp-4.1.0-cp314-cp314-macosx_11_0_arm64.whl

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Release files / pulp-4.1.0-cp314-cp314-macosx_10_12_x86_64.whl

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Release files / pulp-4.1.0-cp313-cp313-win_arm64.whl

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Release files / pulp-4.1.0-cp313-cp313-win_amd64.whl

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Release files / pulp-4.1.0-cp313-cp313-win32.whl

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Release files / pulp-4.1.0-cp313-cp313-musllinux_1_2_x86_64.whl

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Release files / pulp-4.1.0-cp313-cp313-musllinux_1_2_i686.whl

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Release files / pulp-4.1.0-cp313-cp313-musllinux_1_2_armv7l.whl

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Release files / pulp-4.1.0-cp313-cp313-musllinux_1_2_aarch64.whl

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Release files / pulp-4.1.0-cp313-cp313-manylinux_2_17_x86_64.manylinux2014_x86_64.whl

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Release files / pulp-4.1.0-cp313-cp313-manylinux_2_17_s390x.manylinux2014_s390x.whl

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Size 732.3 kB
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Release files / pulp-4.1.0-cp313-cp313-manylinux_2_17_ppc64le.manylinux2014_ppc64le.whl

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Size 813.0 kB
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Release files / pulp-4.1.0-cp313-cp313-manylinux_2_17_armv7l.manylinux2014_armv7l.whl

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Size 707.1 kB
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Release files / pulp-4.1.0-cp313-cp313-manylinux_2_17_aarch64.manylinux2014_aarch64.whl

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Size 698.3 kB
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Release files / pulp-4.1.0-cp313-cp313-manylinux_2_5_i686.manylinux1_i686.whl

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Release files / pulp-4.1.0-cp313-cp313-macosx_11_0_arm64.whl

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Release files / pulp-4.1.0-cp313-cp313-macosx_10_12_x86_64.whl

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Release files / pulp-4.1.0-cp312-cp312-win_arm64.whl

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Release files / pulp-4.1.0-cp312-cp312-win_amd64.whl

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Release files / pulp-4.1.0-cp312-cp312-musllinux_1_2_x86_64.whl

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Release files / pulp-4.1.0-cp312-cp312-musllinux_1_2_i686.whl

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Release files / pulp-4.1.0-cp312-cp312-musllinux_1_2_armv7l.whl

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Release files / pulp-4.1.0-cp312-cp312-musllinux_1_2_aarch64.whl

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Release files / pulp-4.1.0-cp312-cp312-manylinux_2_17_x86_64.manylinux2014_x86_64.whl

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Release files / pulp-4.1.0-cp312-cp312-manylinux_2_17_s390x.manylinux2014_s390x.whl

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Release files / pulp-4.1.0-cp312-cp312-manylinux_2_17_ppc64le.manylinux2014_ppc64le.whl

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Release files / pulp-4.1.0-cp312-cp312-manylinux_2_17_armv7l.manylinux2014_armv7l.whl

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Release files / pulp-4.1.0-cp312-cp312-manylinux_2_17_aarch64.manylinux2014_aarch64.whl

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Release files / pulp-4.1.0-cp312-cp312-manylinux_2_5_i686.manylinux1_i686.whl

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Release files / pulp-4.1.0-cp312-cp312-macosx_11_0_arm64.whl

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Size 650.9 kB
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Release files / pulp-4.1.0-cp312-cp312-macosx_10_12_x86_64.whl

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1.6.3

1.1

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