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 5.1.1

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 5.1.1
File	Size	Uploaded
schubmult-5.1.1.tar.gz	1.0 MB	Sep 25, 2026	Details

Built distributions (wheels)

Table of built distributions (wheels) for schubmult 5.1.1
File	Interpreter	ABI	Platform	Reset
schubmult-5.1.1-cp314-cp314-win_amd64.whl 715.7 kB Sep 25, 2026	CPython 3.14	CPython 3.14	Windows x86-64	Details
schubmult-5.1.1-cp314-cp314-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl 2.1 MB Sep 25, 2026	CPython 3.14	CPython 3.14	Linux glibc 2.28+ x86-64, Linux glibc 2.24+ x86-64	Details
schubmult-5.1.1-cp314-cp314-manylinux_2_24_aarch64.manylinux_2_28_aarch64.whl 2.1 MB Sep 25, 2026	CPython 3.14	CPython 3.14	Linux glibc 2.28+ ARM64, Linux glibc 2.24+ ARM64	Details
schubmult-5.1.1-cp314-cp314-macosx_11_0_arm64.whl 743.5 kB Sep 25, 2026	CPython 3.14	CPython 3.14	macOS 11.0+ ARM64	Details
schubmult-5.1.1-cp314-cp314-macosx_10_15_x86_64.whl 745.5 kB Sep 25, 2026	CPython 3.14	CPython 3.14	macOS 10.15+ x86-64	Details
schubmult-5.1.1-cp313-cp313-win_amd64.whl 712.9 kB Sep 25, 2026	CPython 3.13	CPython 3.13	Windows x86-64	Details
schubmult-5.1.1-cp313-cp313-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl 2.1 MB Sep 25, 2026	CPython 3.13	CPython 3.13	Linux glibc 2.28+ x86-64, Linux glibc 2.24+ x86-64	Details
schubmult-5.1.1-cp313-cp313-manylinux_2_24_aarch64.manylinux_2_28_aarch64.whl 2.1 MB Sep 25, 2026	CPython 3.13	CPython 3.13	Linux glibc 2.24+ ARM64, Linux glibc 2.28+ ARM64	Details
schubmult-5.1.1-cp313-cp313-macosx_11_0_arm64.whl 743.6 kB Sep 25, 2026	CPython 3.13	CPython 3.13	macOS 11.0+ ARM64	Details
schubmult-5.1.1-cp313-cp313-macosx_10_13_x86_64.whl 745.3 kB Sep 25, 2026	CPython 3.13	CPython 3.13	macOS 10.13+ x86-64	Details
schubmult-5.1.1-cp312-cp312-win_amd64.whl 712.9 kB Sep 25, 2026	CPython 3.12	CPython 3.12	Windows x86-64	Details
schubmult-5.1.1-cp312-cp312-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl 2.1 MB Sep 25, 2026	CPython 3.12	CPython 3.12	Linux glibc 2.28+ x86-64, Linux glibc 2.24+ x86-64	Details
schubmult-5.1.1-cp312-cp312-manylinux_2_24_aarch64.manylinux_2_28_aarch64.whl 2.1 MB Sep 25, 2026	CPython 3.12	CPython 3.12	Linux glibc 2.28+ ARM64, Linux glibc 2.24+ ARM64	Details
schubmult-5.1.1-cp312-cp312-macosx_11_0_arm64.whl 743.6 kB Sep 25, 2026	CPython 3.12	CPython 3.12	macOS 11.0+ ARM64	Details
schubmult-5.1.1-cp312-cp312-macosx_10_13_x86_64.whl 745.3 kB Sep 25, 2026	CPython 3.12	CPython 3.12	macOS 10.13+ x86-64	Details
schubmult-5.1.1-cp311-cp311-win_amd64.whl 712.8 kB Sep 25, 2026	CPython 3.11	CPython 3.11	Windows x86-64	Details
schubmult-5.1.1-cp311-cp311-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl 2.1 MB Sep 25, 2026	CPython 3.11	CPython 3.11	Linux glibc 2.24+ x86-64, Linux glibc 2.28+ x86-64	Details
schubmult-5.1.1-cp311-cp311-manylinux_2_24_aarch64.manylinux_2_28_aarch64.whl 2.1 MB Sep 25, 2026	CPython 3.11	CPython 3.11	Linux glibc 2.24+ ARM64, Linux glibc 2.28+ ARM64	Details
schubmult-5.1.1-cp311-cp311-macosx_11_0_arm64.whl 744.2 kB Sep 25, 2026	CPython 3.11	CPython 3.11	macOS 11.0+ ARM64	Details
schubmult-5.1.1-cp311-cp311-macosx_10_9_x86_64.whl 746.3 kB Sep 25, 2026	CPython 3.11	CPython 3.11	macOS 10.9+ x86-64	Details
schubmult-5.1.1-cp310-cp310-win_amd64.whl 712.8 kB Sep 25, 2026	CPython 3.10	CPython 3.10	Windows x86-64	Details
schubmult-5.1.1-cp310-cp310-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl 2.1 MB Sep 25, 2026	CPython 3.10	CPython 3.10	Linux glibc 2.28+ x86-64, Linux glibc 2.24+ x86-64	Details
schubmult-5.1.1-cp310-cp310-manylinux_2_24_aarch64.manylinux_2_28_aarch64.whl 2.1 MB Sep 25, 2026	CPython 3.10	CPython 3.10	Linux glibc 2.28+ ARM64, Linux glibc 2.24+ ARM64	Details
schubmult-5.1.1-cp310-cp310-macosx_11_0_arm64.whl 744.2 kB Sep 25, 2026	CPython 3.10	CPython 3.10	macOS 11.0+ ARM64	Details
schubmult-5.1.1-cp310-cp310-macosx_10_9_x86_64.whl 746.3 kB Sep 25, 2026	CPython 3.10	CPython 3.10	macOS 10.9+ x86-64	Details

Total release size: 33.2 MB

Release files / schubmult-5.1.1.tar.gz

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Subject: schubmult-5.1.1-cp313-cp313-win_amd64.whl
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Release files / schubmult-5.1.1-cp313-cp313-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl

Download URL	schubmult-5.1.1-cp313-cp313-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl
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Upload date	Sep 25, 2026
Uploaded using Trusted Publishing? What is trusted publishing?	Yes
Uploaded via	`twine/7.0.0 CPython/3.13.14`

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Publishing platform: GitHub Actions
Publishing repository: github.com/matthematics/schubmult
Publishing commit: github.com/matthematics/schubmult/tree/6802279b6e71904264e7c1af1ac11601157cbb40

Workflow

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Artifact

Subject: schubmult-5.1.1-cp313-cp313-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl
SHA-256 checksum: b6666129792149d8237ac2d09c5272fcd10d016b84af5c9737f14805df9b58fb Verifying attestations

Release files / schubmult-5.1.1-cp313-cp313-manylinux_2_24_aarch64.manylinux_2_28_aarch64.whl

Download URL	schubmult-5.1.1-cp313-cp313-manylinux_2_24_aarch64.manylinux_2_28_aarch64.whl
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Upload date	Sep 25, 2026
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Uploaded via	`twine/7.0.0 CPython/3.13.14`

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Identity

Publishing platform: GitHub Actions
Publishing repository: github.com/matthematics/schubmult
Publishing commit: github.com/matthematics/schubmult/tree/6802279b6e71904264e7c1af1ac11601157cbb40

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Artifact

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SHA-256 checksum: da9ce7a04cf9e9f496c6077ce6cd055dbe01f3cdfe7924fb1018a795174d5650 Verifying attestations

Release files / schubmult-5.1.1-cp313-cp313-macosx_11_0_arm64.whl

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Uploaded via	`twine/7.0.0 CPython/3.13.14`

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Identity

Publishing platform: GitHub Actions
Publishing repository: github.com/matthematics/schubmult
Publishing commit: github.com/matthematics/schubmult/tree/6802279b6e71904264e7c1af1ac11601157cbb40

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Artifact

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Release files / schubmult-5.1.1-cp313-cp313-macosx_10_13_x86_64.whl

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Uploaded via	`twine/7.0.0 CPython/3.13.14`

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Identity

Publishing platform: GitHub Actions
Publishing repository: github.com/matthematics/schubmult
Publishing commit: github.com/matthematics/schubmult/tree/6802279b6e71904264e7c1af1ac11601157cbb40

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Artifact

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Release files / schubmult-5.1.1-cp312-cp312-win_amd64.whl

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Upload date	Sep 25, 2026
Uploaded using Trusted Publishing? What is trusted publishing?	Yes
Uploaded via	`twine/7.0.0 CPython/3.13.14`

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Identity

Publishing platform: GitHub Actions
Publishing repository: github.com/matthematics/schubmult
Publishing commit: github.com/matthematics/schubmult/tree/6802279b6e71904264e7c1af1ac11601157cbb40

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Artifact

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Release files / schubmult-5.1.1-cp312-cp312-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl

Download URL	schubmult-5.1.1-cp312-cp312-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl
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Upload date	Sep 25, 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/6802279b6e71904264e7c1af1ac11601157cbb40

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Artifact

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SHA-256 checksum: eaef03dc9c9109447acb5d268188ab8db2be479b9a16bbc88644257fa5845bea Verifying attestations

Release files / schubmult-5.1.1-cp312-cp312-manylinux_2_24_aarch64.manylinux_2_28_aarch64.whl

Download URL	schubmult-5.1.1-cp312-cp312-manylinux_2_24_aarch64.manylinux_2_28_aarch64.whl
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Upload date	Sep 25, 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/6802279b6e71904264e7c1af1ac11601157cbb40

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Artifact

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Release files / schubmult-5.1.1-cp312-cp312-macosx_11_0_arm64.whl

Download URL	schubmult-5.1.1-cp312-cp312-macosx_11_0_arm64.whl
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Upload date	Sep 25, 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/6802279b6e71904264e7c1af1ac11601157cbb40

Workflow

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Artifact

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Release files / schubmult-5.1.1-cp312-cp312-macosx_10_13_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/6802279b6e71904264e7c1af1ac11601157cbb40

Workflow

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Artifact

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Release files / schubmult-5.1.1-cp311-cp311-win_amd64.whl

Download URL	schubmult-5.1.1-cp311-cp311-win_amd64.whl
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Upload date	Sep 25, 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/6802279b6e71904264e7c1af1ac11601157cbb40

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Artifact

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Release files / schubmult-5.1.1-cp311-cp311-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl

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Upload date	Sep 25, 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/6802279b6e71904264e7c1af1ac11601157cbb40

Workflow

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Artifact

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SHA-256 checksum: 3345fd77f21f6829d11126f076bfb8f6b64b7a106c615c42cc0bd057c64fcb2d Verifying attestations

Release files / schubmult-5.1.1-cp311-cp311-manylinux_2_24_aarch64.manylinux_2_28_aarch64.whl

Download URL	schubmult-5.1.1-cp311-cp311-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/6802279b6e71904264e7c1af1ac11601157cbb40

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Artifact

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Release files / schubmult-5.1.1-cp311-cp311-macosx_11_0_arm64.whl

Download URL	schubmult-5.1.1-cp311-cp311-macosx_11_0_arm64.whl
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Upload date	Sep 25, 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/6802279b6e71904264e7c1af1ac11601157cbb40

Workflow

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Artifact

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Release files / schubmult-5.1.1-cp311-cp311-macosx_10_9_x86_64.whl

Download URL	schubmult-5.1.1-cp311-cp311-macosx_10_9_x86_64.whl
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Upload date	Sep 25, 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/6802279b6e71904264e7c1af1ac11601157cbb40

Workflow

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Artifact

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Release files / schubmult-5.1.1-cp310-cp310-win_amd64.whl

Download URL	schubmult-5.1.1-cp310-cp310-win_amd64.whl
Size	712.8 kB
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Upload date	Sep 25, 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/6802279b6e71904264e7c1af1ac11601157cbb40

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Artifact

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SHA-256 checksum: 9154b47b62c2b29dc3d8744d344b55e4c1a4025d9ad1140965ac18c2cc2caf84 Verifying attestations

Release files / schubmult-5.1.1-cp310-cp310-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl

Download URL	schubmult-5.1.1-cp310-cp310-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl
Size	2.1 MB
Tags	CPython 3.10 Linux glibc 2.24+ x86-64 Linux glibc 2.28+ x86-64
SHA-256 checksum How to use checksums	`92d4e4fbcb5519dab5380d3d5b5ab11986189548be2c1d92877134f274cf65f6`
BLAKE2b-256 checksum How to use checksums	`2923c4d1aab2284da1d56f709e66df8720d5bf6cbf11748b07c1309b1b601544`
Upload date	Sep 25, 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/6802279b6e71904264e7c1af1ac11601157cbb40

Workflow

Publishing configuration: github.com/matthematics/schubmult/blob/6802279b6e71904264e7c1af1ac11601157cbb40/.github/workflows/wheels.yml
Publishing logs: github.com/matthematics/schubmult/actions/runs/36181648622/attempts/1

Artifact

Subject: schubmult-5.1.1-cp310-cp310-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl
SHA-256 checksum: 92d4e4fbcb5519dab5380d3d5b5ab11986189548be2c1d92877134f274cf65f6 Verifying attestations

Release files / schubmult-5.1.1-cp310-cp310-manylinux_2_24_aarch64.manylinux_2_28_aarch64.whl

Download URL	schubmult-5.1.1-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	`7c694ac7df5284497b0215ce81bfdec41e074e1e15037d25af4c132e6a8614c8`
BLAKE2b-256 checksum How to use checksums	`86b594ef3b8dca6af746159299ce740f00af2a1474918e7b5961ebaa04a7d96c`
Upload date	Sep 25, 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/6802279b6e71904264e7c1af1ac11601157cbb40

Workflow

Publishing configuration: github.com/matthematics/schubmult/blob/6802279b6e71904264e7c1af1ac11601157cbb40/.github/workflows/wheels.yml
Publishing logs: github.com/matthematics/schubmult/actions/runs/36181648622/attempts/1

Artifact

Subject: schubmult-5.1.1-cp310-cp310-manylinux_2_24_aarch64.manylinux_2_28_aarch64.whl
SHA-256 checksum: 7c694ac7df5284497b0215ce81bfdec41e074e1e15037d25af4c132e6a8614c8 Verifying attestations

Release files / schubmult-5.1.1-cp310-cp310-macosx_11_0_arm64.whl

Download URL	schubmult-5.1.1-cp310-cp310-macosx_11_0_arm64.whl
Size	744.2 kB
Tags	CPython 3.10 macOS 11.0+ ARM64
SHA-256 checksum How to use checksums	`b3b1f0c1d17ffdb0172bfa76b621c4d0cd27260a16997f273e6354c67c3e8610`
BLAKE2b-256 checksum How to use checksums	`297efd639714259ae85fe258212df74ca0a66f8abae039d06f8d2c5f841de587`
Upload date	Sep 25, 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/6802279b6e71904264e7c1af1ac11601157cbb40

Workflow

Publishing configuration: github.com/matthematics/schubmult/blob/6802279b6e71904264e7c1af1ac11601157cbb40/.github/workflows/wheels.yml
Publishing logs: github.com/matthematics/schubmult/actions/runs/36181648622/attempts/1

Artifact

Subject: schubmult-5.1.1-cp310-cp310-macosx_11_0_arm64.whl
SHA-256 checksum: b3b1f0c1d17ffdb0172bfa76b621c4d0cd27260a16997f273e6354c67c3e8610 Verifying attestations

Release files / schubmult-5.1.1-cp310-cp310-macosx_10_9_x86_64.whl

Download URL	schubmult-5.1.1-cp310-cp310-macosx_10_9_x86_64.whl
Size	746.3 kB
Tags	CPython 3.10 macOS 10.9+ x86-64
SHA-256 checksum How to use checksums	`64941c9915ca6c576c396a26b3e563cd8325cde30a7d96ef7ae76ba9af6821eb`
BLAKE2b-256 checksum How to use checksums	`cf2815219705c0e4a65f91598630b186646b4ad81b744bc5cb1afbb173e14f7a`
Upload date	Sep 25, 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/6802279b6e71904264e7c1af1ac11601157cbb40

Workflow

Publishing configuration: github.com/matthematics/schubmult/blob/6802279b6e71904264e7c1af1ac11601157cbb40/.github/workflows/wheels.yml
Publishing logs: github.com/matthematics/schubmult/actions/runs/36181648622/attempts/1

Artifact

Subject: schubmult-5.1.1-cp310-cp310-macosx_10_9_x86_64.whl
SHA-256 checksum: 64941c9915ca6c576c396a26b3e563cd8325cde30a7d96ef7ae76ba9af6821eb Verifying attestations