passagemath: Symbolic calculus
passagemath is open source mathematical software in Python, released under the GNU General Public Licence GPLv2+.
It is a fork of SageMath, which has been developed 2005-2026 under the motto “Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, and MATLAB”.
The passagemath fork uses the motto “Creating a Free Passage Between the Scientific Python Ecosystem and Mathematical Software Communities.” It was created in October 2024 with the following goals:
providing modularized installation with pip from binary wheels, - this major project was started in May 2020 in the Sage codebase and completed in passagemath 10.5.29 (May 2025),
establishing first-class membership in the scientific Python ecosystem,
providing independently usable Python interfaces to upstream libraries,
offering platform portability and integration testing services to upstream projects,
inviting collaborations with upstream projects,
empowering Sage users to participate in the scientific Python ecosystem by publishing packages,
developing a port to WebAssembly (Pyodide, emscripten-forge) for serverless deployment with Javascript,
developing a native Windows port - passagemath 10.6.1 (July 2025) published the first pip-installable wheel packages for native Windows on x86_64, - passagemath packages became available in the [MSYS2 software distribution](https://packages.msys2.org/search?t=pkg&q=passagemath) in November 2025.
Moreover, the passagemath project:
provides a stable, frequently updated version of the Sage distribution,
integrates additional mathematical software, notably Macaulay2, a full set of GAP packages, and the Combinatorial Matrix Recognition library,
curates a library of Sage user packages.
Full documentation is available online.
passagemath attempts to support and provides binary wheels suitable for all major Linux distributions and recent versions of macOS.
Binary wheels for native Windows (x86_64, ARM) are are available for a subset of the passagemath distributions. Use of the full functionality of passagemath on Windows currently requires the use of Windows Subsystem for Linux (WSL) or virtualization.
The supported Python versions in the passagemath-10.8.x series are 3.11.x-3.14.x; the passagemath-10.6.x series (EOL 2026-10) still supports Python 3.10.x.
About this pip-installable distribution package
This pip-installable distribution passagemath-symbolics is a distribution of a part of the Sage Library. It provides a small subset of the modules of the Sage library (“sagelib”, passagemath-standard).
What is included
Pynac (fork of GiNaC)
Arithmetic Functions, Elementary and Special Functions (via sagemath-categories)
SageManifolds: Topological, Differentiable, Pseudo-Riemannian, Poisson Manifolds
Examples
Using SageManifolds:
$ pipx run --spec "passagemath-symbolics[maxima,test]" ipython
In [1]: from passagemath_symbolics import *
In [2]: M = Manifold(4, 'M', structure='Lorentzian'); M
Out[2]: 4-dimensional Lorentzian manifold M
In [3]: X = M.chart(r"t r:(0,+oo) th:(0,pi):\theta ph:(0,2*pi):\phi")
In [4]: t,r,th,ph = X[:]; m = var('m'); assume(m>=0)
In [5]: g = M.metric(); g[0,0] = -(1-2*m/r); g[1,1] = 1/(1-2*m/r); g[2,2] = r**2; g[3,3] = (r*sin(th))**2; g.display()
Out[5]: g = (2*m/r - 1) dt⊗dt - 1/(2*m/r - 1) dr⊗dr + r^2 dth⊗dth + r^2*sin(th)^2 dph⊗dph
In [6]: g.christoffel_symbols_display()
Out[6]:
Gam^t_t,r = -m/(2*m*r - r^2)
Gam^r_t,t = -(2*m^2 - m*r)/r^3
Gam^r_r,r = m/(2*m*r - r^2)
Gam^r_th,th = 2*m - r
Gam^r_ph,ph = (2*m - r)*sin(th)^2
Gam^th_r,th = 1/r
Gam^th_ph,ph = -cos(th)*sin(th)
Gam^ph_r,ph = 1/r
Gam^ph_th,ph = cos(th)/sin(th)
Available as extras, from other distributions
- pip install "passagemath-symbolics[fricas]"
Computer algebra system FriCAS, via passagemath-fricas
- pip install "passagemath-symbolics[giac]"
Computer algebra system Giac, via passagemath-giac
- pip install "passagemath-symbolics[mathics3]"
Computer algebra system Mathics3
- pip install "passagemath-symbolics[maxima]"
Computer algebra system Maxima via passagemath-maxima
- pip install "passagemath-symbolics[primecount]"
Prime counting function implementation primecount, via primecountpy
- pip install "passagemath-symbolics[singular]"
Computer algebra system Singular via passagemath-singular
- pip install "passagemath-symbolics[sympy]"
Python library for symbolic mathematics / computer algebra system SymPy
- pip install "passagemath-symbolics[tides]"
High-precision integration of ODEs with TIDES via passagemath-tides
- pip install "passagemath-symbolics[standard]"
All libraries for symbolics that are included in a standard installation of Sage: Maxima, primecount, Singular
- pip install "passagemath-symbolics[plot]"
Plotting facilities
Release files for passagemath-symbolics 10.8.12
For a detailed explanation of source distributions (sdists) and built distributions (wheels), please see the package formats documentation.
Source distribution (sdist)
| File | Size | Uploaded | |
|---|---|---|---|
| passagemath_symbolics-10.8.12.tar.gz | 1.6 MB | Details |
Built distributions (wheels)
Total release size: 1.1 GB
Release files / passagemath_symbolics-10.8.12.tar.gz
| Download URL | passagemath_symbolics-10.8.12.tar.gz |
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| Size | 1.6 MB |
| Tags | Source |
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| Download URL | passagemath_symbolics-10.8.12-cp314-cp314t-musllinux_1_2_x86_64.whl |
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| Size | 45.6 MB |
| Tags | CPython 3.14 CPython 3.14 free-threading Linux musl 1.2+ x86-64 |
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| Tags | CPython 3.14 CPython 3.14 free-threading Linux musl 1.2+ ARM64 |
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| Tags | CPython 3.14 Linux glibc 2.27+ ARM64 Linux glibc 2.28+ ARM64 |
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| Tags | CPython 3.14 macOS 13.0+ x86-64 |
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| Tags | CPython 3.14 macOS 13.0+ ARM64 |
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| Tags | CPython 3.13 Linux musl 1.2+ x86-64 |
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| Tags | CPython 3.13 Linux glibc 2.27+ x86-64 Linux glibc 2.28+ x86-64 |
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| Size | 39.6 MB |
| Tags | CPython 3.13 Linux glibc 2.27+ ARM64 Linux glibc 2.28+ ARM64 |
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| Tags | CPython 3.12 Linux musl 1.2+ x86-64 |
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Release files / passagemath_symbolics-10.8.12-cp312-cp312-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl
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| Size | 44.0 MB |
| Tags | CPython 3.12 Linux glibc 2.27+ x86-64 Linux glibc 2.28+ x86-64 |
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Release files / passagemath_symbolics-10.8.12-cp312-cp312-manylinux_2_27_aarch64.manylinux_2_28_aarch64.whl
| Download URL | passagemath_symbolics-10.8.12-cp312-cp312-manylinux_2_27_aarch64.manylinux_2_28_aarch64.whl |
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| Size | 39.6 MB |
| Tags | CPython 3.12 Linux glibc 2.27+ ARM64 Linux glibc 2.28+ ARM64 |
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twine/7.0.0 CPython/3.13.14
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Release files / passagemath_symbolics-10.8.12-cp312-cp312-macosx_13_0_x86_64.whl
| Download URL | passagemath_symbolics-10.8.12-cp312-cp312-macosx_13_0_x86_64.whl |
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| Size | 24.7 MB |
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twine/7.0.0 CPython/3.13.14
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Release files / passagemath_symbolics-10.8.12-cp312-cp312-macosx_13_0_arm64.whl
| Download URL | passagemath_symbolics-10.8.12-cp312-cp312-macosx_13_0_arm64.whl |
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| Size | 18.9 MB |
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Release files / passagemath_symbolics-10.8.12-cp311-cp311-musllinux_1_2_x86_64.whl
| Download URL | passagemath_symbolics-10.8.12-cp311-cp311-musllinux_1_2_x86_64.whl |
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| Size | 45.5 MB |
| Tags | CPython 3.11 Linux musl 1.2+ x86-64 |
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Release files / passagemath_symbolics-10.8.12-cp311-cp311-musllinux_1_2_aarch64.whl
| Download URL | passagemath_symbolics-10.8.12-cp311-cp311-musllinux_1_2_aarch64.whl |
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| Size | 40.8 MB |
| Tags | CPython 3.11 Linux musl 1.2+ ARM64 |
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Release files / passagemath_symbolics-10.8.12-cp311-cp311-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl
| Download URL | passagemath_symbolics-10.8.12-cp311-cp311-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl |
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| Size | 44.2 MB |
| Tags | CPython 3.11 Linux glibc 2.27+ x86-64 Linux glibc 2.28+ x86-64 |
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Release files / passagemath_symbolics-10.8.12-cp311-cp311-manylinux_2_27_aarch64.manylinux_2_28_aarch64.whl
| Download URL | passagemath_symbolics-10.8.12-cp311-cp311-manylinux_2_27_aarch64.manylinux_2_28_aarch64.whl |
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| Size | 39.9 MB |
| Tags | CPython 3.11 Linux glibc 2.27+ ARM64 Linux glibc 2.28+ ARM64 |
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twine/7.0.0 CPython/3.13.14
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Release files / passagemath_symbolics-10.8.12-cp311-cp311-macosx_13_0_x86_64.whl
| Download URL | passagemath_symbolics-10.8.12-cp311-cp311-macosx_13_0_x86_64.whl |
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| Size | 24.6 MB |
| Tags | CPython 3.11 macOS 13.0+ x86-64 |
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twine/7.0.0 CPython/3.13.14
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Release files / passagemath_symbolics-10.8.12-cp311-cp311-macosx_13_0_arm64.whl
| Download URL | passagemath_symbolics-10.8.12-cp311-cp311-macosx_13_0_arm64.whl |
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| Size | 18.9 MB |
| Tags | CPython 3.11 macOS 13.0+ ARM64 |
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twine/7.0.0 CPython/3.13.14
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