Paper Citation Record · LEDGER

Metric-like spaces as enriched categories: three vignettes

As of 19 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2501.00416.

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

pith.paper-citation-record.v1
2501.00416 v1

Coverage vector

measured 46 of 46 reference resolution

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measured 46 of 46 standing notices

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measured 0 of 1 external citation measurements

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Reference resolution

46 of 46 outbound references displayed

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Outbound references

Observation db64d6a5-d9df-4648-a6f6-c418fe172d68 · outbound

This paper cites Borceux,Handbook of Categorical Algebra 2, Categories and Structures (Encyclopedia of mathematics and its applications 51).

Metric-like spaces as enriched categories: three vignettes Borceux,Handbook of Categorical Algebra 2, Categories and Structures (Encyclopedia of mathematics and its applications 51)

Reference 1

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Observation d224c838-d589-446d-93fd-e89c60421d50 · outbound

This paper cites Chepoi, ‘A𝑇𝑋-approach to some results on cuts and metrics’, Advances in Applied Mathematics, vol.

Metric-like spaces as enriched categories: three vignettes Chepoi, ‘A𝑇𝑋-approach to some results on cuts and metrics’, Advances in Applied Mathematics, vol

Reference 2

Resolution: verified exact; raw_fallback, observed 2026-08-10T22:58:57.295137Z

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This paper cites an unresolved cited work.

Metric-like spaces as enriched categories: three vignettes Unresolved cited work

Reference 3

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Metric-like spaces as enriched categories: three vignettes Unresolved cited work

Reference 4

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Observation ca76e560-5257-4e7c-a944-dfaedc175173 · outbound

This paper cites Eilenberg and G.

Metric-like spaces as enriched categories: three vignettes Eilenberg and G

Reference 5

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Observation 6a56cb88-7c1a-48b9-ac12-191818968ece · outbound

This paper cites Eilenberg and S.

Metric-like spaces as enriched categories: three vignettes Eilenberg and S

Reference 6

Resolution: verified exact; doi, observed 2026-08-10T22:58:57.116808Z

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Observation e2d75e6e-01fa-45ed-8a26-1338e70ac66c · outbound

This paper cites Fréchet, ‘Sur quelques points du calcul fonctionnel’,Rendiconti del Circolo Matematico di Palermo, vol.

Metric-like spaces as enriched categories: three vignettes Fréchet, ‘Sur quelques points du calcul fonctionnel’,Rendiconti del Circolo Matematico di Palermo, vol

Reference 7

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Observation e681aeef-ac9e-4f90-8869-fe696ceeccb8 · outbound

This paper cites Gutiérrez García, I.

Metric-like spaces as enriched categories: three vignettes Gutiérrez García, I

Reference 8

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Observation f3a1826d-aac0-4a0f-8882-177244692b5e · outbound

This paper cites Modeling Model Predictive Control: A Category Theoretic Framework for Multistage Control Problems.

Metric-like spaces as enriched categories: three vignettes Modeling Model Predictive Control: A Category Theoretic Framework for Multistage Control Problems

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-10T22:58:57.095587Z

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Observation 95cea26a-33d4-4561-b30a-d847495073db · outbound

This paper cites Hausdorff, Grundzüge der Mengenlehre.

Metric-like spaces as enriched categories: three vignettes Hausdorff, Grundzüge der Mengenlehre

Reference 10

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Observation 9b3427c6-6583-47e0-b63d-806f83b3f70d · outbound

This paper cites Hepworth and S.

Metric-like spaces as enriched categories: three vignettes Hepworth and S

Reference 11

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Observation ceb3ac1f-1cd0-40ba-b020-ec0910b58666 · outbound

This paper cites Hirai and S.

Metric-like spaces as enriched categories: three vignettes Hirai and S

Reference 12

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Observation 595c3933-7ac1-4f4f-aec8-3526cac99695 · outbound

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Metric-like spaces as enriched categories: three vignettes Unresolved cited work

Reference 13

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Observation d07f394c-21bc-46d8-aae1-4f8d7d77d7d4 · outbound

This paper cites Johnson and D.

Metric-like spaces as enriched categories: three vignettes Johnson and D

Reference 14

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Observation b084a752-30f6-4d66-9b88-78990da5fc0f · outbound

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Metric-like spaces as enriched categories: three vignettes Unresolved cited work

Reference 15

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Observation 546fe4cd-7e94-4f76-b1e8-73afa730206d · outbound

This paper cites Kemajou, H.-P.

Metric-like spaces as enriched categories: three vignettes Kemajou, H.-P

Reference 16

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Observation 3b1aa4fa-0d3c-4ad1-aeda-31192f700ffe · outbound

This paper cites Khovanov, ‘A categorification of the Jones polynomial’,Duke Mathematical Journal, vol.

Metric-like spaces as enriched categories: three vignettes Khovanov, ‘A categorification of the Jones polynomial’,Duke Mathematical Journal, vol

Reference 17

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Observation ebf0ef9d-8f42-47a1-8d99-d34d93adca0f · outbound

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Metric-like spaces as enriched categories: three vignettes Unresolved cited work

Reference 18

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Observation 48d13a5a-f63b-4e18-b0fd-87fa7fb27a8b · outbound

This paper cites Leinster,Magnitude: A bibliography, website.https://www.maths.

Metric-like spaces as enriched categories: three vignettes Leinster,Magnitude: A bibliography, website.https://www.maths

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:58:57.400979Z

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Observation b57c2d66-6957-4a71-af3a-28b136548ae1 · outbound

This paper cites Leinster, ‘The Euler characteristic of a category’,Documenta Math- ematica, vol.

Metric-like spaces as enriched categories: three vignettes Leinster, ‘The Euler characteristic of a category’,Documenta Math- ematica, vol

Reference 20

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Observation f7faa14e-6630-480f-8b0e-35e9a00558e0 · outbound

This paper cites Leinster, ‘Codensity and the ultrafilter monad’,Theory and Ap- plications of Categories, vol.

Metric-like spaces as enriched categories: three vignettes Leinster, ‘Codensity and the ultrafilter monad’,Theory and Ap- plications of Categories, vol

Reference 21

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Observation 575b746f-7b40-487c-a443-4519e4a59f78 · outbound

This paper cites Leinster, ‘The magnitude of metric spaces’,Documenta Mathematica, vol.

Metric-like spaces as enriched categories: three vignettes Leinster, ‘The magnitude of metric spaces’,Documenta Mathematica, vol

Reference 22

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Observation a581eaea-eedb-4c80-b1bb-bf907a38f3fd · outbound

This paper cites Leinster, ‘The magnitude of a graph’,Mathematical Proceedings of the Cambridge Philosophical Society, vol.

Metric-like spaces as enriched categories: three vignettes Leinster, ‘The magnitude of a graph’,Mathematical Proceedings of the Cambridge Philosophical Society, vol

Reference 23

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Observation 78b56e8d-04d2-4814-9e7b-4ceeb106aee6 · outbound

This paper cites Leinster, Entropy and Diversity, The Axiomatic Approach.

Metric-like spaces as enriched categories: three vignettes Leinster, Entropy and Diversity, The Axiomatic Approach

Reference 24

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Observation 628ee5de-deac-4239-9e2a-121c19894282 · outbound

This paper cites Leinster and C.

Metric-like spaces as enriched categories: three vignettes Leinster and C

Reference 25

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Observation d6ecf506-e68e-4869-a17d-ebd02a8d8793 · outbound

This paper cites Leinster and M.

Metric-like spaces as enriched categories: three vignettes Leinster and M

Reference 26

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Observation 96e089c0-6637-4f0f-a1a9-ae80305cc62d · outbound

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Metric-like spaces as enriched categories: three vignettes Leinster and M

Reference 27

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Observation df89a1a5-d24d-49f5-ba5e-fe735a6a4a85 · outbound

This paper cites Mac Lane,Categories for the Working Mathematician(Graduate Texts in Mathematics), 2nd ed.

Metric-like spaces as enriched categories: three vignettes Mac Lane,Categories for the Working Mathematician(Graduate Texts in Mathematics), 2nd ed

Reference 28

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Metric-like spaces as enriched categories: three vignettes Unresolved cited work

Reference 29

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Observation de2f2314-89bd-47b6-a213-a71d2a905e4b · outbound

This paper cites 733–757, 2012.

Metric-like spaces as enriched categories: three vignettes 733–757, 2012

Reference 30

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Metric-like spaces as enriched categories: three vignettes 2024 (cited on p

Reference 31

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Observation d36790d4-b592-416a-aea0-a0a6a11668ae · outbound

This paper cites Pavlovic, ‘Quantitative concept analysis’, inFormal Concept Analysis, Springer Berlin Heidelberg, 2012, pp.

Metric-like spaces as enriched categories: three vignettes Pavlovic, ‘Quantitative concept analysis’, inFormal Concept Analysis, Springer Berlin Heidelberg, 2012, pp

Reference 32

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Observation 7cb3161a-9b06-4f4d-aa63-b8c17ea57ab1 · outbound

This paper cites Riehl,Categorical homotopy theory(New Mathematical Monographs 24).NewYork:CambridgeUniversityPress,2014,isbn:9781107048454 (cited on p.

Metric-like spaces as enriched categories: three vignettes Riehl,Categorical homotopy theory(New Mathematical Monographs 24).NewYork:CambridgeUniversityPress,2014,isbn:9781107048454 (cited on p

Reference 33

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Observation eb03631b-2368-4681-90a2-ccea4f6b78db · outbound

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Metric-like spaces as enriched categories: three vignettes Unresolved cited work

Reference 34

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Observation bb3b0535-1be0-4d3f-b88b-fc356109bdef · outbound

This paper cites Rota, ‘On the foundations of combinatorial theory I.

Metric-like spaces as enriched categories: three vignettes Rota, ‘On the foundations of combinatorial theory I

Reference 35

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Observation 7ccbb198-2199-4484-b9b7-5a38bbc93b10 · outbound

This paper cites an unresolved cited work.

Metric-like spaces as enriched categories: three vignettes Unresolved cited work

Reference 36

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Observation 0fba6238-becd-4c5c-8c49-5055edf92365 · outbound

This paper cites Towards a Compositional Framework for Convex Analysis (with Applications to Probability Theory).

Metric-like spaces as enriched categories: three vignettes Towards a Compositional Framework for Convex Analysis (with Applications to Probability Theory)

Reference 37

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Observation 882bfa57-70d5-43c4-a4ec-bc167ca888e4 · outbound

This paper cites Street, ‘An Australian conspectus of higher categories’, inTowards HigherCategories,J.C.BaezandJ.P.May,Eds.NewYork,NY:Springer New York, 2010, pp.

Metric-like spaces as enriched categories: three vignettes Street, ‘An Australian conspectus of higher categories’, inTowards HigherCategories,J.C.BaezandJ.P.May,Eds.NewYork,NY:Springer New York, 2010, pp

Reference 38

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Observation dbadd276-61a5-4d54-8b3c-06119a32965e · outbound

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Metric-like spaces as enriched categories: three vignettes Unresolved cited work

Reference 39

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Observation e125daa6-6918-46f2-a24a-bc21ca65544c · outbound

This paper cites Touchette, ‘Legendre-Fenchel transforms in a nutshell’, Queen Mary, University of London, 2005.https://appliedmaths.sun.ac.

Metric-like spaces as enriched categories: three vignettes Touchette, ‘Legendre-Fenchel transforms in a nutshell’, Queen Mary, University of London, 2005.https://appliedmaths.sun.ac

Reference 40

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Observation 5b9a7cd4-5f2b-4c5f-882e-925ee7302b24 · outbound

This paper cites an unresolved cited work.

Metric-like spaces as enriched categories: three vignettes Unresolved cited work

Reference 41

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Observation 07ac41a5-73fe-420e-b64c-3f332765d667 · outbound

This paper cites Willerton, ‘Tight spans, Isbell completions and semi-tropical mod- ules’,Theory and Applications of Categories, vol.

Metric-like spaces as enriched categories: three vignettes Willerton, ‘Tight spans, Isbell completions and semi-tropical mod- ules’,Theory and Applications of Categories, vol

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:58:57.315064Z

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Observation 54e83458-9219-4252-9295-9a4d8c5f8650 · outbound

This paper cites The Legendre-Fenchel transform from a category theoretic perspective.

Metric-like spaces as enriched categories: three vignettes The Legendre-Fenchel transform from a category theoretic perspective

Reference 43

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Observation 9f740888-22da-48c9-8c61-1709522902ab · outbound

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Metric-like spaces as enriched categories: three vignettes Unresolved cited work

Reference 562

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Observation 9e9f9629-a909-405c-86ee-7f235a06c380 · outbound

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Metric-like spaces as enriched categories: three vignettes Unresolved cited work

Reference 2012

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Observation eb17a722-83e2-4ae0-ae9b-bb899077e084 · outbound

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Metric-like spaces as enriched categories: three vignettes Unresolved cited work

Reference 2013

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Pith citing papers

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