schubmult

Fast Schubert calculus in Python: Littlewood-Richardson coefficients, Schubert/Grothendieck rings, and the combinatorics behind them.

schubmult multiplies single, double, quantum, and quantum double Schubert polynomials (with parabolic variants), expands products in the Schubert basis, and gives you the combinatorial objects that index them: permutations, RC graphs (pipe dreams), bumpless pipe dreams, tableaux, and their crystal structures. It is built on SymEngine for speed and SymPy for display, so results drop straight into SymPy or Sage.

Documentation: https://matthematics.github.io/schubmult/

Installation

pip install schubmult

Development version:

pip install git+https://github.com/matthematics/schubmult.git

Requires Python 3.10+. To build the documentation locally, install the docs extra: pip install -e ".[docs]".

Quick start

Python

from schubmult import Sx, DSx, QSx, QDSx, Gx, DGx, Permutation
from schubmult.abc import x, y, z

# Ordinary Schubert polynomials: S_312 * S_132 = S_321 + S_4123
Sx([3, 1, 2]) * Sx([1, 3, 2])
# 𝔖_(3, 2, 1)(x) + 𝔖_(4, 1, 2, 3)(x)

# Expand to a polynomial, or go the other way
Sx([3, 1, 2]).expand()                       # x_1**2
Sx.from_expr(x[1]**2 + x[1] * x[2])          # 𝔖_(2, 3, 1)(x) + 𝔖_(3, 1, 2)(x)

# Double Schubert polynomials S_w(x; y); coefficients are polynomials in y
DSx([1, 3, 2]) * DSx([1, 3, 2])
# (-y_2 + y_3)*𝔖_(1, 3, 2)(x; y) + 𝔖_(1, 4, 2, 3)(x; y) + 𝔖_(2, 3, 1)(x; y)

# Mixed variables: S_w(x; y) * S_v(x; z)
DSx([1, 3, 2]) * DSx([2, 1, 3], z)
# (y_1 - z_1)*𝔖_(1, 3, 2)(x; y) + 𝔖_(2, 3, 1)(x; y) + 𝔖_(3, 1, 2)(x; y)

# Quantum Schubert polynomials
QSx([2, 1, 3]) * QSx([2, 1, 3])              # q_1 + 𝕼𝔖_312(x)

# Quantum double Schubert polynomials
QDSx([2, 1, 3]) * QDSx([2, 1, 3])
# q_1 + (-y_1 + y_2)*𝕼𝔖_21(x; y) + 𝕼𝔖_312(x; y)

# Grothendieck polynomials (K-theory)
Gx([2, 1, 3]) * Gx([2, 1, 3])                # 𝔊_(3, 1, 2)(x)

# Double Grothendieck polynomials; .simplify() puts the rational coefficients in y, β in normal form
(DGx([1, 3, 2]) * DGx([2, 1, 3])).simplify()
# β*𝔊_(3, 2, 1)(x; y) + 𝔊_(2, 3, 1)(x; y) + 𝔊_(3, 1, 2)(x; y)
(DGx([2, 1, 3]) * DGx([2, 1, 3])).simplify()
# (y_1 - y_2)*𝔊_(2, 1)(x; y)   (y_1*β + 1)*𝔊_(3, 1, 2)(x; y)
# -------------------------- + -----------------------------
#         y_2*β + 1                      y_2*β + 1

# Permutations use one-line notation; Lehmer codes are available too
w = Permutation([3, 1, 4, 2])
w.code, w.inv, w.descents()                  # ([2, 0, 1], 3, {0, 2})

Ring objects: Sx (single), DSx (double), QSx/QDSx (quantum, quantum double), QPSx/QPDSx (parabolic quantum), Gx/DGx (single/double Grothendieck). Elements are dictionaries {Permutation: coefficient} with *, +, .expand(), .coproduct(), and change of basis between them. The underlying multiplication kernels live in schubmult.mult (single, double, quantum, quantum_double, groth, groth_double).

Command line

Each ring has a CLI. Permutations are space-separated, factors are separated by -:

schubmult_py 3 1 2 - 2 1 3                         # 1  (4, 1, 2, 3)
schubmult_py --code 2 0 - 1 0                      # same product via Lehmer codes
schubmult_double 1 3 2 - 1 3 2 --display-positive  # double Schubert, coefficients displayed positively
schubmult_q 2 1 3 - 2 1 3                          # quantum
schubmult_q_double 2 1 3 - 2 1 3 --parabolic 1     # parabolic quantum double
grothmult_py 2 1 3 - 2 1 3                         # Grothendieck
grothmult_double 2 1 3 - 2 1 3                     # double Grothendieck (coefficients in y and β)
grothmult_q 2 1 - 2 1                              # quantum Grothendieck (conjectural quantum K-Pieri rule; coefficients in q and β)
grothmult_q_double 2 1 - 2 1 --mixed-var           # quantum double Grothendieck (coefficients in y, z, q and β)

--display-positive writes double and quantum double coefficients as manifestly positive expressions in the differences y_i - z_j (Graham positivity), using integer programming to find a positive representative. Run any script with --help for the full option list.

Combinatorics

The schubmult.combinatorics package provides the objects that index Schubert calculus, with conversions between them:

Permutation -- one-line notation, Lehmer codes (uncode), reduced words, Bruhat order, descents, dominant/Grassmannian tests.
RCGraph -- reduced compatible sequences / pipe dreams, with enumeration (RCGraph.all_rc_graphs(w, n)), Kashiwara crystal operators (raising_operator(i), lowering_operator(i)), Edelman-Greene insertion, and the crystal products used in the transition formulas.
BPD -- bumpless pipe dreams with droop moves, the Gao-Huang bijection to RC graphs (BPD.from_rc_graph, .to_rc_graph()), and marked/unreduced variants for Grothendieck polynomials.
WCGraph, PipeDream, HPD -- K-theoretic and hybrid pipe dream models.
Tableaux -- Plactic (semistandard, jeu de taquin), NilPlactic (Edelman-Greene), RootTableau, IncreasingTableau, SetValuedTableau, HeckePlactic.
Forests -- indexed forests and the Thompson monoid factorization behind the forest and grove bases.

from schubmult import RCGraph, BPD, Permutation

w = Permutation([1, 4, 2, 3])
rcs = RCGraph.all_rc_graphs(w, 3)        # all RC graphs of w in 3 rows

rc = next(rc for rc in rcs if rc.lowering_operator(1) is not None)
rc.lowering_operator(1)                  # crystal operator f_1 (None when undefined)

bpd = BPD.from_rc_graph(rc)              # Gao-Huang bijection
assert bpd.to_rc_graph() == rc

Rings and algebras

Beyond the Schubert rings, schubmult.rings includes:

PolynomialAlgebra with interchangeable bases: monomials, Schubert, key (Demazure), Lascoux, fundamental/monomial slide, glide, forest, grove, Grothendieck, and elementary symmetric bases.
FreeAlgebra -- the graded dual of the polynomial algebra (a word (a_1, ..., a_n) is dual to x_1^a_1 ... x_n^a_n), with a dual basis for each of the above; ASx is the dual Schubert basis.
Combinatorial rings -- RCGraphRing, WCGraphRing, CrystalGraphRing, and related algebras whose basis elements are the combinatorial objects themselves.
Tensor and direct products, NSym, QSym, and the nil-Hecke algebra.

from schubmult import ASx, FA

ASx([2, 1, 3]) * ASx([1, 3, 2])   # dual Schubert basis of the free algebra
FA(1, 0) * FA(2)                  # word basis: concatenation, [102]

Symbolic layer

schubmult.symbolic wraps SymEngine and SymPy behind one interface (sympify, expand, Add, Mul, S), provides indexed variable families (GeneratingSet("x") gives x_1, x_2, ...), and unevaluated elementary/complete symmetric polynomial atoms (E, e, H, h) so Schubert polynomials can be manipulated in the SEM basis. schubmult.abc exposes ready-made x, y, z, q, beta in the spirit of sympy.abc.

Documentation

Full API documentation, generated from the source docstrings, is at https://matthematics.github.io/schubmult/. To build it locally:

pip install -e ".[docs]"
python docs/generate_docs.py
mkdocs serve

Development

git clone https://github.com/matthematics/schubmult.git
cd schubmult
pip install -e .
pytest

Tests live in tests/; the script tests compare CLI output against stored JSON cases in tests/scripts/data. ruff check src/schubmult should pass.

License

GPL-3.0. See LICENSE.

Release files for schubmult 5.1.0

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

Source distribution (sdist)

Source distribution for schubmult 5.1.0
File	Size	Uploaded
schubmult-5.1.0.tar.gz	990.2 kB	Sep 22, 2026	Details

Built distributions (wheels)

Table of built distributions (wheels) for schubmult 5.1.0
File	Interpreter	ABI	Platform	Reset
schubmult-5.1.0-cp314-cp314-win_amd64.whl 709.6 kB Sep 22, 2026	CPython 3.14	CPython 3.14	Windows x86-64	Details
schubmult-5.1.0-cp314-cp314-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl 2.1 MB Sep 22, 2026	CPython 3.14	CPython 3.14	Linux glibc 2.28+ x86-64, Linux glibc 2.24+ x86-64	Details
schubmult-5.1.0-cp314-cp314-manylinux_2_24_aarch64.manylinux_2_28_aarch64.whl 2.1 MB Sep 22, 2026	CPython 3.14	CPython 3.14	Linux glibc 2.28+ ARM64, Linux glibc 2.24+ ARM64	Details
schubmult-5.1.0-cp314-cp314-macosx_11_0_arm64.whl 737.5 kB Sep 22, 2026	CPython 3.14	CPython 3.14	macOS 11.0+ ARM64	Details
schubmult-5.1.0-cp314-cp314-macosx_10_15_x86_64.whl 739.6 kB Sep 22, 2026	CPython 3.14	CPython 3.14	macOS 10.15+ x86-64	Details
schubmult-5.1.0-cp313-cp313-win_amd64.whl 706.9 kB Sep 22, 2026	CPython 3.13	CPython 3.13	Windows x86-64	Details
schubmult-5.1.0-cp313-cp313-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl 2.1 MB Sep 22, 2026	CPython 3.13	CPython 3.13	Linux glibc 2.28+ x86-64, Linux glibc 2.24+ x86-64	Details
schubmult-5.1.0-cp313-cp313-manylinux_2_24_aarch64.manylinux_2_28_aarch64.whl 2.1 MB Sep 22, 2026	CPython 3.13	CPython 3.13	Linux glibc 2.28+ ARM64, Linux glibc 2.24+ ARM64	Details
schubmult-5.1.0-cp313-cp313-macosx_11_0_arm64.whl 737.6 kB Sep 22, 2026	CPython 3.13	CPython 3.13	macOS 11.0+ ARM64	Details
schubmult-5.1.0-cp313-cp313-macosx_10_13_x86_64.whl 739.3 kB Sep 22, 2026	CPython 3.13	CPython 3.13	macOS 10.13+ x86-64	Details
schubmult-5.1.0-cp312-cp312-win_amd64.whl 706.9 kB Sep 22, 2026	CPython 3.12	CPython 3.12	Windows x86-64	Details
schubmult-5.1.0-cp312-cp312-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl 2.1 MB Sep 22, 2026	CPython 3.12	CPython 3.12	Linux glibc 2.24+ x86-64, Linux glibc 2.28+ x86-64	Details
schubmult-5.1.0-cp312-cp312-manylinux_2_24_aarch64.manylinux_2_28_aarch64.whl 2.1 MB Sep 22, 2026	CPython 3.12	CPython 3.12	Linux glibc 2.24+ ARM64, Linux glibc 2.28+ ARM64	Details
schubmult-5.1.0-cp312-cp312-macosx_11_0_arm64.whl 737.6 kB Sep 22, 2026	CPython 3.12	CPython 3.12	macOS 11.0+ ARM64	Details
schubmult-5.1.0-cp312-cp312-macosx_10_13_x86_64.whl 739.4 kB Sep 22, 2026	CPython 3.12	CPython 3.12	macOS 10.13+ x86-64	Details
schubmult-5.1.0-cp311-cp311-win_amd64.whl 706.8 kB Sep 22, 2026	CPython 3.11	CPython 3.11	Windows x86-64	Details
schubmult-5.1.0-cp311-cp311-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl 2.1 MB Sep 22, 2026	CPython 3.11	CPython 3.11	Linux glibc 2.28+ x86-64, Linux glibc 2.24+ x86-64	Details
schubmult-5.1.0-cp311-cp311-manylinux_2_24_aarch64.manylinux_2_28_aarch64.whl 2.1 MB Sep 22, 2026	CPython 3.11	CPython 3.11	Linux glibc 2.28+ ARM64, Linux glibc 2.24+ ARM64	Details
schubmult-5.1.0-cp311-cp311-macosx_11_0_arm64.whl 738.2 kB Sep 22, 2026	CPython 3.11	CPython 3.11	macOS 11.0+ ARM64	Details
schubmult-5.1.0-cp311-cp311-macosx_10_9_x86_64.whl 740.4 kB Sep 22, 2026	CPython 3.11	CPython 3.11	macOS 10.9+ x86-64	Details
schubmult-5.1.0-cp310-cp310-win_amd64.whl 706.8 kB Sep 22, 2026	CPython 3.10	CPython 3.10	Windows x86-64	Details
schubmult-5.1.0-cp310-cp310-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl 2.1 MB Sep 22, 2026	CPython 3.10	CPython 3.10	Linux glibc 2.28+ x86-64, Linux glibc 2.24+ x86-64	Details
schubmult-5.1.0-cp310-cp310-manylinux_2_24_aarch64.manylinux_2_28_aarch64.whl 2.1 MB Sep 22, 2026	CPython 3.10	CPython 3.10	Linux glibc 2.28+ ARM64, Linux glibc 2.24+ ARM64	Details
schubmult-5.1.0-cp310-cp310-macosx_11_0_arm64.whl 738.2 kB Sep 22, 2026	CPython 3.10	CPython 3.10	macOS 11.0+ ARM64	Details
schubmult-5.1.0-cp310-cp310-macosx_10_9_x86_64.whl 740.4 kB Sep 22, 2026	CPython 3.10	CPython 3.10	macOS 10.9+ x86-64	Details

Total release size: 33.0 MB

Release files / schubmult-5.1.0.tar.gz

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Subject: schubmult-5.1.0-cp313-cp313-win_amd64.whl
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Release files / schubmult-5.1.0-cp313-cp313-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl

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Upload date	Sep 22, 2026
Uploaded using Trusted Publishing? What is trusted publishing?	Yes
Uploaded via	`twine/7.0.0 CPython/3.13.14`

Provenance

Identity

Publishing platform: GitHub Actions
Publishing repository: github.com/matthematics/schubmult
Publishing commit: github.com/matthematics/schubmult/tree/4264a11e1b897fefb9d91e856ceed987ec50f409

Workflow

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Artifact

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SHA-256 checksum: 0e3755d84537d7d95645743d45a9c588a62d341d354d9ce0754d685b9d8dbe97 Verifying attestations

Release files / schubmult-5.1.0-cp313-cp313-manylinux_2_24_aarch64.manylinux_2_28_aarch64.whl

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Uploaded via	`twine/7.0.0 CPython/3.13.14`

Provenance

Identity

Publishing platform: GitHub Actions
Publishing repository: github.com/matthematics/schubmult
Publishing commit: github.com/matthematics/schubmult/tree/4264a11e1b897fefb9d91e856ceed987ec50f409

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Artifact

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Release files / schubmult-5.1.0-cp313-cp313-macosx_11_0_arm64.whl

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Provenance

Identity

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Publishing repository: github.com/matthematics/schubmult
Publishing commit: github.com/matthematics/schubmult/tree/4264a11e1b897fefb9d91e856ceed987ec50f409

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Artifact

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Release files / schubmult-5.1.0-cp313-cp313-macosx_10_13_x86_64.whl

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Provenance

Identity

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Publishing repository: github.com/matthematics/schubmult
Publishing commit: github.com/matthematics/schubmult/tree/4264a11e1b897fefb9d91e856ceed987ec50f409

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Artifact

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Release files / schubmult-5.1.0-cp312-cp312-win_amd64.whl

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Provenance

Identity

Publishing platform: GitHub Actions
Publishing repository: github.com/matthematics/schubmult
Publishing commit: github.com/matthematics/schubmult/tree/4264a11e1b897fefb9d91e856ceed987ec50f409

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Artifact

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Release files / schubmult-5.1.0-cp312-cp312-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl

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Uploaded using Trusted Publishing? What is trusted publishing?	Yes
Uploaded via	`twine/7.0.0 CPython/3.13.14`

Provenance

Identity

Publishing platform: GitHub Actions
Publishing repository: github.com/matthematics/schubmult
Publishing commit: github.com/matthematics/schubmult/tree/4264a11e1b897fefb9d91e856ceed987ec50f409

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Artifact

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SHA-256 checksum: c37dceaa352777cff776630d709b9120942caae2e658b2580917bfd706ac99e8 Verifying attestations

Release files / schubmult-5.1.0-cp312-cp312-manylinux_2_24_aarch64.manylinux_2_28_aarch64.whl

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Uploaded using Trusted Publishing? What is trusted publishing?	Yes
Uploaded via	`twine/7.0.0 CPython/3.13.14`

Provenance

Identity

Publishing platform: GitHub Actions
Publishing repository: github.com/matthematics/schubmult
Publishing commit: github.com/matthematics/schubmult/tree/4264a11e1b897fefb9d91e856ceed987ec50f409

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Artifact

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Release files / schubmult-5.1.0-cp312-cp312-macosx_11_0_arm64.whl

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Uploaded via	`twine/7.0.0 CPython/3.13.14`

Provenance

Identity

Publishing platform: GitHub Actions
Publishing repository: github.com/matthematics/schubmult
Publishing commit: github.com/matthematics/schubmult/tree/4264a11e1b897fefb9d91e856ceed987ec50f409

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Artifact

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Release files / schubmult-5.1.0-cp312-cp312-macosx_10_13_x86_64.whl

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Provenance

Identity

Publishing platform: GitHub Actions
Publishing repository: github.com/matthematics/schubmult
Publishing commit: github.com/matthematics/schubmult/tree/4264a11e1b897fefb9d91e856ceed987ec50f409

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Artifact

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Release files / schubmult-5.1.0-cp311-cp311-win_amd64.whl

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Uploaded using Trusted Publishing? What is trusted publishing?	Yes
Uploaded via	`twine/7.0.0 CPython/3.13.14`

Provenance

Identity

Publishing platform: GitHub Actions
Publishing repository: github.com/matthematics/schubmult
Publishing commit: github.com/matthematics/schubmult/tree/4264a11e1b897fefb9d91e856ceed987ec50f409

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Artifact

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Release files / schubmult-5.1.0-cp311-cp311-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl

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Uploaded using Trusted Publishing? What is trusted publishing?	Yes
Uploaded via	`twine/7.0.0 CPython/3.13.14`

Provenance

Identity

Publishing platform: GitHub Actions
Publishing repository: github.com/matthematics/schubmult
Publishing commit: github.com/matthematics/schubmult/tree/4264a11e1b897fefb9d91e856ceed987ec50f409

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Artifact

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SHA-256 checksum: 41d27242596fc02b3111bd0553ab154062db00ef46a7a5b0ed7710eac0ae01e0 Verifying attestations

Release files / schubmult-5.1.0-cp311-cp311-manylinux_2_24_aarch64.manylinux_2_28_aarch64.whl

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Uploaded via	`twine/7.0.0 CPython/3.13.14`

Provenance

Identity

Publishing platform: GitHub Actions
Publishing repository: github.com/matthematics/schubmult
Publishing commit: github.com/matthematics/schubmult/tree/4264a11e1b897fefb9d91e856ceed987ec50f409

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Artifact

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Release files / schubmult-5.1.0-cp311-cp311-macosx_11_0_arm64.whl

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Uploaded via	`twine/7.0.0 CPython/3.13.14`

Provenance

Identity

Publishing platform: GitHub Actions
Publishing repository: github.com/matthematics/schubmult
Publishing commit: github.com/matthematics/schubmult/tree/4264a11e1b897fefb9d91e856ceed987ec50f409

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Artifact

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Release files / schubmult-5.1.0-cp311-cp311-macosx_10_9_x86_64.whl

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Uploaded via	`twine/7.0.0 CPython/3.13.14`

Provenance

Identity

Publishing platform: GitHub Actions
Publishing repository: github.com/matthematics/schubmult
Publishing commit: github.com/matthematics/schubmult/tree/4264a11e1b897fefb9d91e856ceed987ec50f409

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Artifact

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Release files / schubmult-5.1.0-cp310-cp310-win_amd64.whl

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Upload date	Sep 22, 2026
Uploaded using Trusted Publishing? What is trusted publishing?	Yes
Uploaded via	`twine/7.0.0 CPython/3.13.14`

Provenance

Identity

Publishing platform: GitHub Actions
Publishing repository: github.com/matthematics/schubmult
Publishing commit: github.com/matthematics/schubmult/tree/4264a11e1b897fefb9d91e856ceed987ec50f409

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Artifact

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SHA-256 checksum: 1cfa25434b02df70bebcbedc601bc4312e6ea8793b23ee4eeb511f3102fc6229 Verifying attestations

Release files / schubmult-5.1.0-cp310-cp310-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl

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Tags	CPython 3.10 Linux glibc 2.24+ x86-64 Linux glibc 2.28+ x86-64
SHA-256 checksum How to use checksums	`f17df9b820447598b56404065c0b478fa4a65b468305509ace0281fca36d1ac9`
BLAKE2b-256 checksum How to use checksums	`c00ab7d3c98357868753ca1e2eff443832aca977ad9d2cbc0b49ca28b196149d`
Upload date	Sep 22, 2026
Uploaded using Trusted Publishing? What is trusted publishing?	Yes
Uploaded via	`twine/7.0.0 CPython/3.13.14`

Provenance

Identity

Publishing platform: GitHub Actions
Publishing repository: github.com/matthematics/schubmult
Publishing commit: github.com/matthematics/schubmult/tree/4264a11e1b897fefb9d91e856ceed987ec50f409

Workflow

Publishing configuration: github.com/matthematics/schubmult/blob/4264a11e1b897fefb9d91e856ceed987ec50f409/.github/workflows/wheels.yml
Publishing logs: github.com/matthematics/schubmult/actions/runs/35782693441/attempts/1

Artifact

Subject: schubmult-5.1.0-cp310-cp310-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl
SHA-256 checksum: f17df9b820447598b56404065c0b478fa4a65b468305509ace0281fca36d1ac9 Verifying attestations

Release files / schubmult-5.1.0-cp310-cp310-manylinux_2_24_aarch64.manylinux_2_28_aarch64.whl

Download URL	schubmult-5.1.0-cp310-cp310-manylinux_2_24_aarch64.manylinux_2_28_aarch64.whl
Size	2.1 MB
Tags	CPython 3.10 Linux glibc 2.24+ ARM64 Linux glibc 2.28+ ARM64
SHA-256 checksum How to use checksums	`d53e90527e6d708050e50ae0b28151a918410158af9a4e4ddd88985018d2bbff`
BLAKE2b-256 checksum How to use checksums	`366800e4816052fb4d0696221426191c0727c3fe4cda65d97ab17099fa964a0f`
Upload date	Sep 22, 2026
Uploaded using Trusted Publishing? What is trusted publishing?	Yes
Uploaded via	`twine/7.0.0 CPython/3.13.14`

Provenance

Identity

Publishing platform: GitHub Actions
Publishing repository: github.com/matthematics/schubmult
Publishing commit: github.com/matthematics/schubmult/tree/4264a11e1b897fefb9d91e856ceed987ec50f409

Workflow

Publishing configuration: github.com/matthematics/schubmult/blob/4264a11e1b897fefb9d91e856ceed987ec50f409/.github/workflows/wheels.yml
Publishing logs: github.com/matthematics/schubmult/actions/runs/35782693441/attempts/1

Artifact

Subject: schubmult-5.1.0-cp310-cp310-manylinux_2_24_aarch64.manylinux_2_28_aarch64.whl
SHA-256 checksum: d53e90527e6d708050e50ae0b28151a918410158af9a4e4ddd88985018d2bbff Verifying attestations

Release files / schubmult-5.1.0-cp310-cp310-macosx_11_0_arm64.whl

Download URL	schubmult-5.1.0-cp310-cp310-macosx_11_0_arm64.whl
Size	738.2 kB
Tags	CPython 3.10 macOS 11.0+ ARM64
SHA-256 checksum How to use checksums	`11b191f0fed093c660df4bf12652ca9ed2e9e1cd4d3596da5e7e96732d9923ff`
BLAKE2b-256 checksum How to use checksums	`9af5588851fb497ea3a7349a62118d1945f17a6d7122f943673c0ee9072d764b`
Upload date	Sep 22, 2026
Uploaded using Trusted Publishing? What is trusted publishing?	Yes
Uploaded via	`twine/7.0.0 CPython/3.13.14`

Provenance

Identity

Publishing platform: GitHub Actions
Publishing repository: github.com/matthematics/schubmult
Publishing commit: github.com/matthematics/schubmult/tree/4264a11e1b897fefb9d91e856ceed987ec50f409

Workflow

Publishing configuration: github.com/matthematics/schubmult/blob/4264a11e1b897fefb9d91e856ceed987ec50f409/.github/workflows/wheels.yml
Publishing logs: github.com/matthematics/schubmult/actions/runs/35782693441/attempts/1

Artifact

Subject: schubmult-5.1.0-cp310-cp310-macosx_11_0_arm64.whl
SHA-256 checksum: 11b191f0fed093c660df4bf12652ca9ed2e9e1cd4d3596da5e7e96732d9923ff Verifying attestations

Release files / schubmult-5.1.0-cp310-cp310-macosx_10_9_x86_64.whl

Download URL	schubmult-5.1.0-cp310-cp310-macosx_10_9_x86_64.whl
Size	740.4 kB
Tags	CPython 3.10 macOS 10.9+ x86-64
SHA-256 checksum How to use checksums	`997b9f5e96278ffad5eef6ded0237df5d6ae42f459161ed8b01a590050dad1ab`
BLAKE2b-256 checksum How to use checksums	`737084349e51e2c57cde459be4ecf9fc215130c91d4e2a8e20dc7ab503bba68a`
Upload date	Sep 22, 2026
Uploaded using Trusted Publishing? What is trusted publishing?	Yes
Uploaded via	`twine/7.0.0 CPython/3.13.14`

Provenance

Identity

Publishing platform: GitHub Actions
Publishing repository: github.com/matthematics/schubmult
Publishing commit: github.com/matthematics/schubmult/tree/4264a11e1b897fefb9d91e856ceed987ec50f409

Workflow

Publishing configuration: github.com/matthematics/schubmult/blob/4264a11e1b897fefb9d91e856ceed987ec50f409/.github/workflows/wheels.yml
Publishing logs: github.com/matthematics/schubmult/actions/runs/35782693441/attempts/1

Artifact

Subject: schubmult-5.1.0-cp310-cp310-macosx_10_9_x86_64.whl
SHA-256 checksum: 997b9f5e96278ffad5eef6ded0237df5d6ae42f459161ed8b01a590050dad1ab Verifying attestations