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Paper Citation Record · LEDGER

Layered Monoidal Theories I: Diagrammatic Algebra and Applications

As of 22 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 0 inbound Pith citation observations for arXiv:2602.19776.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2602.19776 v2

Coverage vector

measured 60 of 60 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-02T21:36:35.873073Z

measured 60 of 60 standing notices

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measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

60 of 60 outbound references displayed

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Outbound references

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This paper cites Andersen, Christoph Flamm, Daniel Merkle, and Peter F.

Layered Monoidal Theories I: Diagrammatic Algebra and Applications Andersen, Christoph Flamm, Daniel Merkle, and Peter F

Reference 1

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Layered Monoidal Theories I: Diagrammatic Algebra and Applications Unresolved cited work

Reference 2

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This paper cites Backens, H.

Layered Monoidal Theories I: Diagrammatic Algebra and Applications Backens, H

Reference 3

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This paper cites A Compositional Framework for Passive Linear Networks.

Layered Monoidal Theories I: Diagrammatic Algebra and Applications A Compositional Framework for Passive Linear Networks

Reference 4

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This paper cites Modular categories as representations of the 3-dimensional bordism 2-category.

Layered Monoidal Theories I: Diagrammatic Algebra and Applications Modular categories as representations of the 3-dimensional bordism 2-category

Reference 5

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This paper cites 2023.Graphical Electrical Circuit Theory.

Layered Monoidal Theories I: Diagrammatic Algebra and Applications 2023.Graphical Electrical Circuit Theory

Reference 6

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Layered Monoidal Theories I: Diagrammatic Algebra and Applications String Diagrammatic Electrical Circuit Theory

Reference 7

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Layered Monoidal Theories I: Diagrammatic Algebra and Applications Unresolved cited work

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Layered Monoidal Theories I: Diagrammatic Algebra and Applications Unresolved cited work

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This paper cites 2021.A Survey of Compositional Signal Flow Theory.

Layered Monoidal Theories I: Diagrammatic Algebra and Applications 2021.A Survey of Compositional Signal Flow Theory

Reference 10

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Layered Monoidal Theories I: Diagrammatic Algebra and Applications Unresolved cited work

Reference 11

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Layered Monoidal Theories I: Diagrammatic Algebra and Applications Unresolved cited work

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This paper cites Mathematical Foundations for a Compositional Distributional Model of Meaning.

Layered Monoidal Theories I: Diagrammatic Algebra and Applications Mathematical Foundations for a Compositional Distributional Model of Meaning

Reference 13

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Layered Monoidal Theories I: Diagrammatic Algebra and Applications Unresolved cited work

Reference 14

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Layered Monoidal Theories I: Diagrammatic Algebra and Applications Categorical Foundations of Gradient-Based Learning

Reference 15

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Layered Monoidal Theories I: Diagrammatic Algebra and Applications Unresolved cited work

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Layered Monoidal Theories I: Diagrammatic Algebra and Applications Unresolved cited work

Reference 17

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Layered Monoidal Theories I: Diagrammatic Algebra and Applications Dunn III

Reference 18

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Layered Monoidal Theories I: Diagrammatic Algebra and Applications Context-Free Languages of String Diagrams

Reference 19

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Layered Monoidal Theories I: Diagrammatic Algebra and Applications Unresolved cited work

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Layered Monoidal Theories I: Diagrammatic Algebra and Applications Backprop as Functor: A compositional perspective on supervised learning

Reference 21

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Layered Monoidal Theories I: Diagrammatic Algebra and Applications A presentation of the category of stochastic matrices

Reference 22

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Layered Monoidal Theories I: Diagrammatic Algebra and Applications Unresolved cited work

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Layered Monoidal Theories I: Diagrammatic Algebra and Applications Unresolved cited work

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Layered Monoidal Theories I: Diagrammatic Algebra and Applications Unresolved cited work

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Layered Monoidal Theories I: Diagrammatic Algebra and Applications Compositional Deep Learning

Reference 26

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Layered Monoidal Theories I: Diagrammatic Algebra and Applications Unresolved cited work

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Layered Monoidal Theories I: Diagrammatic Algebra and Applications Unresolved cited work

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Layered Monoidal Theories I: Diagrammatic Algebra and Applications Hartwell, John J

Reference 29

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Layered Monoidal Theories I: Diagrammatic Algebra and Applications 2019.Categories for Quantum Theory: An Introduction

Reference 31

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Layered Monoidal Theories I: Diagrammatic Algebra and Applications 2023.Introducing String Diagrams: The Art of Category Theory

Reference 32

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Layered Monoidal Theories I: Diagrammatic Algebra and Applications 2019.External traced monoidal categories

Reference 33

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Layered Monoidal Theories I: Diagrammatic Algebra and Applications Unresolved cited work

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Layered Monoidal Theories I: Diagrammatic Algebra and Applications Unresolved cited work

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Layered Monoidal Theories I: Diagrammatic Algebra and Applications Unresolved cited work

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Layered Monoidal Theories I: Diagrammatic Algebra and Applications Unresolved cited work

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This paper cites Foundations of Digital Circuits: Denotation, Operational, and Algebraic Semantics.

Layered Monoidal Theories I: Diagrammatic Algebra and Applications Foundations of Digital Circuits: Denotation, Operational, and Algebraic Semantics

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Observation c6479217-9bc5-48dd-9da1-3b11abc27511 · outbound

This paper cites an unresolved cited work.

Layered Monoidal Theories I: Diagrammatic Algebra and Applications Unresolved cited work

Reference 41

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Observation 5b591859-db94-48c9-89e3-15f9f94d19fb · outbound

This paper cites an unresolved cited work.

Layered Monoidal Theories I: Diagrammatic Algebra and Applications Unresolved cited work

Reference 42

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Observation bb10a03b-cd75-498a-97ef-22105e55bd5e · outbound

This paper cites an unresolved cited work.

Layered Monoidal Theories I: Diagrammatic Algebra and Applications Unresolved cited work

Reference 43

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Observation 67b2c1da-64ae-4242-8565-910192df3d8c · outbound

This paper cites an unresolved cited work.

Layered Monoidal Theories I: Diagrammatic Algebra and Applications Unresolved cited work

Reference 44

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This paper cites Quantitative Monoidal Algebra: Axiomatising Distance with String Diagrams.

Layered Monoidal Theories I: Diagrammatic Algebra and Applications Quantitative Monoidal Algebra: Axiomatising Distance with String Diagrams

Reference 45

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This paper cites an unresolved cited work.

Layered Monoidal Theories I: Diagrammatic Algebra and Applications Unresolved cited work

Reference 46

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Observation 5e72bec2-c873-4355-b79f-ba9a8909e267 · outbound

This paper cites an unresolved cited work.

Layered Monoidal Theories I: Diagrammatic Algebra and Applications Unresolved cited work

Reference 47

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Observation f42d0827-475a-4456-a672-a737b3d64bdb · outbound

This paper cites Causal models in string diagrams.

Layered Monoidal Theories I: Diagrammatic Algebra and Applications Causal models in string diagrams

Reference 48

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Observation 9b66ddde-78ca-4037-a532-dc202d65c44d · outbound

This paper cites an unresolved cited work.

Layered Monoidal Theories I: Diagrammatic Algebra and Applications Unresolved cited work

Reference 49

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Observation 00c7f053-d06b-4c1b-8153-2af0df5e0191 · outbound

This paper cites an unresolved cited work.

Layered Monoidal Theories I: Diagrammatic Algebra and Applications Unresolved cited work

Reference 50

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Observation 36d04eec-b1e6-4da1-b950-d308a45b7152 · outbound

This paper cites 1980.A Calculus of Communicating Systems.

Layered Monoidal Theories I: Diagrammatic Algebra and Applications 1980.A Calculus of Communicating Systems

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Observation f7be8e85-5f61-41dd-bebe-e77a64a20d2d · outbound

This paper cites Causal Explanations for Sequential Decision Making Under Uncertainty.

Layered Monoidal Theories I: Diagrammatic Algebra and Applications Causal Explanations for Sequential Decision Making Under Uncertainty

Reference 52

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Observation 1624f04f-91ab-4797-9715-31a25befccc2 · outbound

This paper cites 2009.The Logic of Structure-Based Counterfactuals(2 ed.).

Layered Monoidal Theories I: Diagrammatic Algebra and Applications 2009.The Logic of Structure-Based Counterfactuals(2 ed.)

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Observation 20688330-d410-4d5f-9712-fa811834d80b · outbound

This paper cites A Complete Axiomatisation of Equivalence for Discrete Probabilistic Programming.

Layered Monoidal Theories I: Diagrammatic Algebra and Applications A Complete Axiomatisation of Equivalence for Discrete Probabilistic Programming

Reference 54

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Observation 8559bc4a-82cd-44a0-b6b4-037f415c088c · outbound

This paper cites 2025.An Introduction to String Diagrams for Computer Scientists.

Layered Monoidal Theories I: Diagrammatic Algebra and Applications 2025.An Introduction to String Diagrams for Computer Scientists

Reference 55

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Observation b91be1db-1857-476e-ace2-217f44f01a22 · outbound

This paper cites an unresolved cited work.

Layered Monoidal Theories I: Diagrammatic Algebra and Applications Unresolved cited work

Reference 56

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Observation c39f4ee7-51be-4b3f-afba-ca39fed21560 · outbound

This paper cites 1991.Life itself : a comprehensive inquiry into the nature, origin, and fabrication of life.

Layered Monoidal Theories I: Diagrammatic Algebra and Applications 1991.Life itself : a comprehensive inquiry into the nature, origin, and fabrication of life

Reference 57

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Observation 51c90d33-0935-4ce2-a338-dab8a49a9e82 · outbound

This paper cites an unresolved cited work.

Layered Monoidal Theories I: Diagrammatic Algebra and Applications Unresolved cited work

Reference 58

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source=pdf_text observed=2026-08-02T21:36:35.666586Z digest=sha256:b87dd428c9bfa6a5d51d08642a3e090aa1d007a3b07031dcbfb35aca95439921

Observation 52f119ed-a77d-4361-a958-5e049096aa2a · outbound

This paper cites ZX-calculus for the working quantum computer scientist.

Layered Monoidal Theories I: Diagrammatic Algebra and Applications ZX-calculus for the working quantum computer scientist

Reference 59

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Observation bdaca1e0-3d96-4756-923b-2268f37f0083 · outbound

This paper cites Interacting Hopf Algebras: the theory of linear systems.

Layered Monoidal Theories I: Diagrammatic Algebra and Applications Interacting Hopf Algebras: the theory of linear systems

Reference 60

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