Paper Citation Record · LEDGER

Double Categories of Open Systems: the Cospan Approach

As of 22 August 2026, this Paper Citation Record lists 93 of 93 outbound references and 2 inbound Pith citation observations for arXiv:2509.22584.

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

pith.paper-citation-record.v1
2509.22584 v3

Coverage vector

measured 93 of 93 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T14:52:28.806078Z

measured 95 of 95 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-30T23:48:18.087365Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-01T13:15:45.961982Z

Reference resolution

93 of 93 outbound references displayed

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verified fuzzy0
unresolved93
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5a011351-7d8f-41e9-a29f-c496a47abc06 · outbound

This paper cites A compositional account of motifs, mechanisms, and dynamics in biochemical regulatory networks.

Double Categories of Open Systems: the Cospan Approach A compositional account of motifs, mechanisms, and dynamics in biochemical regulatory networks

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T14:52:17.019193Z

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Observation 41ce4943-6079-42f8-b684-c20a2ec6d363 · outbound

This paper cites Cartesian Double Categories with an Emphasis on Characterizing Spans.

Double Categories of Open Systems: the Cospan Approach Cartesian Double Categories with an Emphasis on Characterizing Spans

Reference 2

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Observation 5475a21f-42cc-4082-8629-61b9d30ca6b1 · outbound

This paper cites (Referred to on page 35.).

Double Categories of Open Systems: the Cospan Approach (Referred to on page 35.)

Reference 3

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Observation c7539788-fcd9-430b-b345-ac6367387846 · outbound

This paper cites (Referred to on page 20, 35.).

Double Categories of Open Systems: the Cospan Approach (Referred to on page 20, 35.)

Reference 4

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Observation 708c98d7-6822-4b1e-9bbe-7f61a295060d · outbound

This paper cites An Algebraic Framework for Structured Epidemic Modeling.

Double Categories of Open Systems: the Cospan Approach An Algebraic Framework for Structured Epidemic Modeling

Reference 5

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Observation dbaab4e7-a9d5-4601-9e40-90bc66959044 · outbound

This paper cites an unresolved cited work.

Double Categories of Open Systems: the Cospan Approach Unresolved cited work

Reference 6

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Observation 8bf0c2f8-ba04-4788-b919-e04d2f427ae6 · outbound

This paper cites Structured Cospans.

Double Categories of Open Systems: the Cospan Approach Structured Cospans

Reference 7

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Observation ffacae2a-b4b5-4283-b174-17d51e734b8b · outbound

This paper cites an unresolved cited work.

Double Categories of Open Systems: the Cospan Approach Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T14:52:17.816125Z

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Observation a0f08a3b-7b5f-4482-8784-e3af256260c9 · outbound

This paper cites Structured versus Decorated Cospans.

Double Categories of Open Systems: the Cospan Approach Structured versus Decorated Cospans

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T14:52:18.044982Z

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Observation 40adf8a0-01a3-4a95-8700-efbd0994f6db · outbound

This paper cites Props in Network Theory.

Double Categories of Open Systems: the Cospan Approach Props in Network Theory

Reference 10

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Observation e46ae5b2-1142-4d2e-a309-139248dbed71 · outbound

This paper cites Categories in Control.

Double Categories of Open Systems: the Cospan Approach Categories in Control

Reference 11

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Observation f6b66a3a-6dec-4117-88a4-55e387c42ab0 · outbound

This paper cites A Compositional Framework for Passive Linear Networks.

Double Categories of Open Systems: the Cospan Approach A Compositional Framework for Passive Linear Networks

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T14:52:18.453716Z

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Observation 5a998653-b943-46af-affc-48d249259935 · outbound

This paper cites A Compositional Framework for Markov Processes.

Double Categories of Open Systems: the Cospan Approach A Compositional Framework for Markov Processes

Reference 13

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Observation 862200d4-03c1-4cfe-af20-a0bbe67cae80 · outbound

This paper cites Categories of Nets.

Double Categories of Open Systems: the Cospan Approach Categories of Nets

Reference 14

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Observation a097ad3d-8872-4842-b4f1-edf5b3b03ff0 · outbound

This paper cites A Prehistory of n-Categorical Physics.

Double Categories of Open Systems: the Cospan Approach A Prehistory of n-Categorical Physics

Reference 15

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Observation 07e01c88-35a1-4166-8219-c662ae4c2333 · outbound

This paper cites A Categorical Framework for Modeling with Stock and Flow Diagrams.

Double Categories of Open Systems: the Cospan Approach A Categorical Framework for Modeling with Stock and Flow Diagrams

Reference 16

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Observation 103b2b15-20bf-4ccc-a033-98b3f7c86a9f · outbound

This paper cites an unresolved cited work.

Double Categories of Open Systems: the Cospan Approach Unresolved cited work

Reference 17

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Observation 74a3ece8-dd3e-4998-8eb8-c0c62c7f6365 · outbound

This paper cites Compositional Thermostatics.

Double Categories of Open Systems: the Cospan Approach Compositional Thermostatics

Reference 18

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Observation 677e1a38-b9d4-4391-94be-c3f475525a2b · outbound

This paper cites Open Petri Nets.

Double Categories of Open Systems: the Cospan Approach Open Petri Nets

Reference 19

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Observation a3a6b9c4-da86-4ff8-9f12-d6cd192d1ccf · outbound

This paper cites A Compositional Framework for Reaction Networks.

Double Categories of Open Systems: the Cospan Approach A Compositional Framework for Reaction Networks

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-04T14:52:19.409604Z

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Observation 45710931-9039-4589-a40c-817c523d916e · outbound

This paper cites Physics, Topology, Logic and Computation: A Rosetta Stone.

Double Categories of Open Systems: the Cospan Approach Physics, Topology, Logic and Computation: A Rosetta Stone

Reference 21

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Observation 7257069f-eab1-4794-b081-eaf79d4f19ff · outbound

This paper cites Open Systems in Classical Mechanics.

Double Categories of Open Systems: the Cospan Approach Open Systems in Classical Mechanics

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-04T14:52:19.662016Z

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Observation b0c9cfd2-7027-4363-ab6e-18ee63d09be1 · outbound

This paper cites Bonchi, P.

Double Categories of Open Systems: the Cospan Approach Bonchi, P

Reference 23

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Observation 0dab1f46-3b49-4086-8b33-3715496d5083 · outbound

This paper cites Carboni, Matrices, relations, and group representations,J.

Double Categories of Open Systems: the Cospan Approach Carboni, Matrices, relations, and group representations,J

Reference 24

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Observation a83c8f98-96f6-4e87-9d0c-04e152ddb0d5 · outbound

This paper cites Available at https://catcolab.org/help.

Double Categories of Open Systems: the Cospan Approach Available at https://catcolab.org/help

Reference 25

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Observation c969de5e-a0ba-4857-b04b-61d7c59f5b24 · outbound

This paper cites Available at https://github.com/AlgebraicJulia/Catlab.jl.

Double Categories of Open Systems: the Cospan Approach Available at https://github.com/AlgebraicJulia/Catlab.jl

Reference 26

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Observation d7f125b9-9a17-49cb-8287-a2aa5fcfd545 · outbound

This paper cites A bicategory of decorated cospans.

Double Categories of Open Systems: the Cospan Approach A bicategory of decorated cospans

Reference 27

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Observation 7817ad45-b02b-471a-8f0c-9b0e35cc4d2c · outbound

This paper cites Open Systems: A Double Categorical Perspective.

Double Categories of Open Systems: the Cospan Approach Open Systems: A Double Categorical Perspective

Reference 28

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Observation 67db2cf2-a365-48ca-b305-4aa6d3c0fd88 · outbound

This paper cites Corelations are the prop for extraspecial commutative Frobenius monoids.

Double Categories of Open Systems: the Cospan Approach Corelations are the prop for extraspecial commutative Frobenius monoids

Reference 29

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Observation 6ca974d1-297a-4340-bb61-a9436470f8a7 · outbound

This paper cites A Compositional Framework for Bond Graphs.

Double Categories of Open Systems: the Cospan Approach A Compositional Framework for Bond Graphs

Reference 30

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Observation e6b6aff8-73ee-4cfa-954c-3abbd19046b8 · outbound

This paper cites Circuits, Bond Graphs, and Signal-Flow Diagrams: A Categorical Perspective.

Double Categories of Open Systems: the Cospan Approach Circuits, Bond Graphs, and Signal-Flow Diagrams: A Categorical Perspective

Reference 31

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Observation 738579bb-58f4-4d0a-832d-f5ee1d903b38 · outbound

This paper cites Toric Differential Inclusions and a Proof of the Global Attractor Conjecture.

Double Categories of Open Systems: the Cospan Approach Toric Differential Inclusions and a Proof of the Global Attractor Conjecture

Reference 32

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Observation 1f42ea3a-94c9-45aa-ac80-f92c21ea1e4f · outbound

This paper cites A graph-theoretic condition for delay stability of reaction systems.

Double Categories of Open Systems: the Cospan Approach A graph-theoretic condition for delay stability of reaction systems

Reference 33

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Observation 4f4ba75d-b5fe-4eae-b845-4988ff3fbb1f · outbound

This paper cites Craciun, F.

Double Categories of Open Systems: the Cospan Approach Craciun, F

Reference 34

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Observation 0b96fd76-f904-4c37-91d2-0ba5079cb1e7 · outbound

This paper cites Craciun, Y.

Double Categories of Open Systems: the Cospan Approach Craciun, Y

Reference 35

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Observation d48ac0ae-a389-4c2e-8854-e82541c4fd2b · outbound

This paper cites Day and R.

Double Categories of Open Systems: the Cospan Approach Day and R

Reference 36

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Observation 85f0292a-0a53-45a6-9317-221e26fbb035 · outbound

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Double Categories of Open Systems: the Cospan Approach Unresolved cited work

Reference 37

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Observation f4363ddd-fc78-4696-863b-d814a747f34a · outbound

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Double Categories of Open Systems: the Cospan Approach Unresolved cited work

Reference 38

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This paper cites Feinberg, Chemical reaction network structure and the stability of complex isothermal reactors: I.

Double Categories of Open Systems: the Cospan Approach Feinberg, Chemical reaction network structure and the stability of complex isothermal reactors: I

Reference 39

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Observation 39ddacba-b858-480d-9f02-d00dba213d62 · outbound

This paper cites Feinberg,Foundations of Chemical Reaction Network Theory, Springer, Berlin, 2019.

Double Categories of Open Systems: the Cospan Approach Feinberg,Foundations of Chemical Reaction Network Theory, Springer, Berlin, 2019

Reference 40

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Observation 71558bbe-be5c-4c49-b3e6-f669b50fd2fc · outbound

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Double Categories of Open Systems: the Cospan Approach Unresolved cited work

Reference 41

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Observation 62f5bd1f-2a54-48f6-b1da-632a488a895f · outbound

This paper cites Decorated Cospans.

Double Categories of Open Systems: the Cospan Approach Decorated Cospans

Reference 42

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This paper cites The Algebra of Open and Interconnected Systems.

Double Categories of Open Systems: the Cospan Approach The Algebra of Open and Interconnected Systems

Reference 43

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Double Categories of Open Systems: the Cospan Approach A categorical approach to open and interconnected dynamical systems

Reference 44

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Double Categories of Open Systems: the Cospan Approach Hypergraph Categories

Reference 45

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Observation b7777dba-041e-4890-8449-26a210592abd · outbound

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Double Categories of Open Systems: the Cospan Approach Gadducci and R

Reference 46

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Observation fc925c22-4493-41be-a2a9-c58b8bec3ddc · outbound

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Double Categories of Open Systems: the Cospan Approach Girault and R

Reference 47

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Observation c747896f-20a4-4c9a-8ceb-b10483599494 · outbound

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Double Categories of Open Systems: the Cospan Approach Grandis and R

Reference 48

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Observation 80e711dd-e925-4d03-9322-fcfcecf576ac · outbound

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Double Categories of Open Systems: the Cospan Approach Grandis and R

Reference 49

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Double Categories of Open Systems: the Cospan Approach Gordon, A

Reference 50

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Observation f0a4dbca-1a17-42f0-80b2-7d5301332584 · outbound

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Double Categories of Open Systems: the Cospan Approach Unresolved cited work

Reference 51

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Observation 37b3558c-a029-4cad-a919-c78cdbbd56cd · outbound

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Double Categories of Open Systems: the Cospan Approach Halter and E

Reference 52

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Observation 67ccbd1f-1a43-4e61-a6d5-16f6f70b35f0 · outbound

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Double Categories of Open Systems: the Cospan Approach Constructing symmetric monoidal bicategories functorially

Reference 53

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Observation b5e1ee11-f876-4c95-8c27-af4a93a55696 · outbound

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Double Categories of Open Systems: the Cospan Approach Heunen and J

Reference 54

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Observation 33294fe9-0484-4313-96db-a7436aa970e8 · outbound

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Double Categories of Open Systems: the Cospan Approach Horn and R

Reference 55

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Double Categories of Open Systems: the Cospan Approach Unresolved cited work

Reference 56

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Double Categories of Open Systems: the Cospan Approach Finite matrices are complete for (dagger-)hypergraph categories

Reference 57

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This paper cites Koch, Petri nets—a mathematical formalism to analyze chemical reaction networks,Mol.

Double Categories of Open Systems: the Cospan Approach Koch, Petri nets—a mathematical formalism to analyze chemical reaction networks,Mol

Reference 58

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Double Categories of Open Systems: the Cospan Approach Kock,Frobenius Algebras and 2D Topological Quantum Field Theories, Cambridge U

Reference 59

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Double Categories of Open Systems: the Cospan Approach Whole-grain Petri nets and processes

Reference 60

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Observation a1962349-7a3a-4803-8fb1-38081330a2be · outbound

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Double Categories of Open Systems: the Cospan Approach Unresolved cited work

Reference 61

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Observation 5d1ec8fb-1e14-428c-a9a9-55108a42eca0 · outbound

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Double Categories of Open Systems: the Cospan Approach Unresolved cited work

Reference 62

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Observation 5fbf2ec9-e36c-4e6e-89f3-1ce06a85fce2 · outbound

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Double Categories of Open Systems: the Cospan Approach An Algebra of Resource Sharing Machines

Reference 63

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Observation ddfa3600-2290-4b02-b4b2-7005102b43df · outbound

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Double Categories of Open Systems: the Cospan Approach Towards a double operadic theory of systems

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Double Categories of Open Systems: the Cospan Approach Relational Composition of Physical Systems: A Categorical Approach

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Double Categories of Open Systems: the Cospan Approach Petri Nets Based on Lawvere Theories

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Double Categories of Open Systems: the Cospan Approach McCrudden, Balanced coalgebroids,Theory Appl

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Double Categories of Open Systems: the Cospan Approach Available at https://modelcollab.usask.ca/

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Double Categories of Open Systems: the Cospan Approach Morton, Belief propagation in monoidal categories,Electron

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Double Categories of Open Systems: the Cospan Approach Span, Cospan, and Other Double Categories

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Double Categories of Open Systems: the Cospan Approach Par ´e, Superspans, talk at the Octoberfest, Ottawa, 2015

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Double Categories of Open Systems: the Cospan Approach Structured and Decorated Cospans from the Viewpoint of Double Category Theory

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Double Categories of Open Systems: the Cospan Approach Patterson and M

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Double Categories of Open Systems: the Cospan Approach Open Markov Processes and Reaction Networks

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Double Categories of Open Systems: the Cospan Approach On dualizable objects in monoidal bicategories, framed surfaces and the Cobordism Hypothesis

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Double Categories of Open Systems: the Cospan Approach Rosebrugh, N

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Double Categories of Open Systems: the Cospan Approach Selinger, Autonomous categories in whichA A ∗ (extended abstract), talk at QPL 2010

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Double Categories of Open Systems: the Cospan Approach A survey of graphical languages for monoidal categories

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Double Categories of Open Systems: the Cospan Approach Framed bicategories and monoidal fibrations

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Double Categories of Open Systems: the Cospan Approach Constructing symmetric monoidal bicategories

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Double Categories of Open Systems: the Cospan Approach Compact Closed Bicategories

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Double Categories of Open Systems: the Cospan Approach Available at https://algebraicjulia.github.io/StockFlow.jl/

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Double Categories of Open Systems: the Cospan Approach Street, Frobenius monads and pseudomonoids,J

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Reference 88

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Reference 89

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Reference 90

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Double Categories of Open Systems: the Cospan Approach Operads of Wiring Diagrams

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Double Categories of Open Systems: the Cospan Approach Double Categories of Open Dynamical Systems (Extended Abstract)

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Double Categories of Open Systems: the Cospan Approach (Referred to on page 2, 42.)

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Double Categories of Open Systems: the Cospan Approach Coarse-Graining Open Markov Processes

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Pith citing papers

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Enhanced $2$-categories of models of sketches as enhanced $2$-categories of algebras over monads cites this paper.

Enhanced $2$-categories of models of sketches as enhanced $2$-categories of algebras over monads Double Categories of Open Systems: the Cospan Approach

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Enhanced $2$-categories of models of sketches as enhanced $2$-categories of algebras over monads Double Categories of Open Systems: the Cospan Approach

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