Paper Citation Record · LEDGER

Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs

As of 16 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2510.19458.

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

pith.paper-citation-record.v1
2510.19458 v4

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measured 38 of 38 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-04T08:49:22.688361Z

measured 38 of 38 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

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Reference resolution

38 of 38 outbound references displayed

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Outbound references

Observation 7a89e5a2-4a69-47fc-8d4c-0bd538334908 · outbound

This paper cites The Carrollian Kaleidoscope.

Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs The Carrollian Kaleidoscope

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T08:49:17.977046Z

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Observation 609742a0-fb5e-409a-aef8-dcce150e6d57 · outbound

This paper cites & Herranz, F.

Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs & Herranz, F

Reference 2

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Observation 9b235792-72e7-4fe3-9fff-d607d475dfe1 · outbound

This paper cites & Herranz, F.J., Theκ-Newtonian andκ-Carrollian algebras and their noncommutative spacetimes,Phys.

Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs & Herranz, F.J., Theκ-Newtonian andκ-Carrollian algebras and their noncommutative spacetimes,Phys

Reference 3

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Observation a5674d3f-712f-45fc-b529-5b6352725386 · outbound

This paper cites & Herranz, F.J.,κ-Galilean andκ-Carrollian noncom- mutative spaces of worldlines,Phys.

Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs & Herranz, F.J.,κ-Galilean andκ-Carrollian noncom- mutative spaces of worldlines,Phys

Reference 4

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Observation 2427c200-341c-4b9a-bfcb-1e26490f573d · outbound

This paper cites (ed.), Modesto, L.

Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs (ed.), Modesto, L

Reference 5

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Observation 1c6c40c3-a301-4709-80ab-8aacae3387d3 · outbound

This paper cites J., Navarro, R.

Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs J., Navarro, R

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T08:49:18.675441Z

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Observation d7028194-d56d-4f8c-8c69-7569e30ac98f · outbound

This paper cites & Pijls, H.G.J., Almost commutative algebra and differential calculus on the quantum hyperplane,J.

Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs & Pijls, H.G.J., Almost commutative algebra and differential calculus on the quantum hyperplane,J

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T08:49:18.796925Z

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Observation bf7445cb-350d-4921-b4af-cd5250c6b3ef · outbound

This paper cites & Chakraborty, B., Fate ofκ-Minkowski space-time in non-relativistic (Galilean) and ultra-relativistic (Carrollian) regimes,J.

Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs & Chakraborty, B., Fate ofκ-Minkowski space-time in non-relativistic (Galilean) and ultra-relativistic (Carrollian) regimes,J

Reference 8

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Observation e01fa5bd-e786-44fe-bc00-4d6379c1ff6e · outbound

This paper cites Noncommut.

Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs Noncommut

Reference 9

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Observation 1b0bccf9-c77d-44e4-b7f4-61d3332eb6bc · outbound

This paper cites Carrollian Lie Algebroids: Taming Singular Carrollian Geometries.

Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs Carrollian Lie Algebroids: Taming Singular Carrollian Geometries

Reference 10

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Observation 9e752dcc-6b16-4c50-90a7-21fbe1fddf5b · outbound

This paper cites an unresolved cited work.

Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs Unresolved cited work

Reference 11

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Observation 4fb2a566-717e-4e53-9614-37c58732b809 · outbound

This paper cites & Fioresi, R., Mathematical foundations of supersymmetry, EMS Series of Lectures in Mathematics,European Mathematical Society(EMS), Z¨ urich, 2011.

Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs & Fioresi, R., Mathematical foundations of supersymmetry, EMS Series of Lectures in Mathematics,European Mathematical Society(EMS), Z¨ urich, 2011

Reference 12

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Observation 040e5a7a-e283-4748-9da0-5ac49b45c946 · outbound

This paper cites an unresolved cited work.

Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs Unresolved cited work

Reference 13

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Observation d58a6a30-c009-4eb5-970e-c2531e9e9064 · outbound

This paper cites xiii, 661 p.

Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs xiii, 661 p

Reference 14

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Observation f1db718f-cacc-4255-b80b-82f2e80c95f0 · outbound

This paper cites an unresolved cited work.

Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs Unresolved cited work

Reference 15

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Observation f633cfc9-3389-49b3-88e2-c8dc0c353430 · outbound

This paper cites & Ruzziconi, R.,, Carrollian, Perspective on Celestial Holography, Phys.

Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs & Ruzziconi, R.,, Carrollian, Perspective on Celestial Holography, Phys

Reference 16

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Observation 14124be1-5930-4d7c-bfd5-a089dd09562f · outbound

This paper cites & Ruzziconi, R., Bridging Carrollian and celestial holography,Phys.

Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs & Ruzziconi, R., Bridging Carrollian and celestial holography,Phys

Reference 17

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Observation ae3d1801-70ab-4059-b9fb-5648b36b7147 · outbound

This paper cites an unresolved cited work.

Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs Unresolved cited work

Reference 18

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Observation 2f56d652-6ee1-49cc-bc81-7923e3b8433d · outbound

This paper cites & Michor, P.

Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs & Michor, P

Reference 19

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Observation 430a061b-adee-4e95-aa41-87e729ea953e · outbound

This paper cites & Horvathy, P.A., Conformal Carroll groups,J.

Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs & Horvathy, P.A., Conformal Carroll groups,J

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-04T08:49:20.520175Z

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Observation 266e70c3-e976-40ca-896a-317b6b612994 · outbound

This paper cites & Horvathy, P.A., Conformal Carroll groups and BMS symmetry,Class.

Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs & Horvathy, P.A., Conformal Carroll groups and BMS symmetry,Class

Reference 21

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Observation 0465355d-e9a0-4123-b21a-23b450dbd38d · outbound

This paper cites & Zhang, P.M., Carroll versus Newton and Galilei: Two Dual Non-Einsteinian Concepts of Time,Class.

Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs & Zhang, P.M., Carroll versus Newton and Galilei: Two Dual Non-Einsteinian Concepts of Time,Class

Reference 22

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Observation 7127f8dd-3a43-4f48-904b-044fc5903fd2 · outbound

This paper cites & Wallet, J.-C., Noncommutativeϵ-graded connections,J.

Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs & Wallet, J.-C., Noncommutativeϵ-graded connections,J

Reference 23

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Observation 7edf21b4-155c-4597-ae43-0847effa8957 · outbound

This paper cites & Prohazka, S., Carroll/fracton particles and their correspondence,J.

Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs & Prohazka, S., Carroll/fracton particles and their correspondence,J

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-04T08:49:21.076818Z

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Observation c4b3c529-62db-446e-a7a4-c48da7a16847 · outbound

This paper cites B., Much, A.

Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs B., Much, A

Reference 25

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Observation 6d376088-0161-4fc6-8034-7840db5e6d7d · outbound

This paper cites an unresolved cited work.

Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs Unresolved cited work

Reference 26

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Observation eef364d6-11b5-4c38-9bc9-5e3058d27df4 · outbound

This paper cites & Kastler, D., Graded Lie-Cartan pairs.

Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs & Kastler, D., Graded Lie-Cartan pairs

Reference 27

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Observation 37b49c80-dc69-4688-ad18-7e1abfbee5fb · outbound

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Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs Unresolved cited work

Reference 28

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Observation 00402f01-4898-4696-9485-5ff5509e1222 · outbound

This paper cites an unresolved cited work.

Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs Unresolved cited work

Reference 29

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Observation c5d812fa-ce40-46d9-a585-94b695b7eb1d · outbound

This paper cites Diaspora J.

Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs Diaspora J

Reference 30

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Observation e23c47d5-a2e9-44e5-9e25-b4b1f71c5653 · outbound

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Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs Unresolved cited work

Reference 31

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Observation 98eac606-c061-4623-9777-a9c7a1578813 · outbound

This paper cites I., Topics in noncommutative geometry, M.

Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs I., Topics in noncommutative geometry, M

Reference 32

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Observation 43867d52-5a6b-4cdf-9d68-23c7cd21af64 · outbound

This paper cites an unresolved cited work.

Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs Unresolved cited work

Reference 33

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Observation f335479e-cdf7-4a2f-a6ee-a74da35e0ffb · outbound

This paper cites & Wyler, D., Generalized superalgebrasNuclear Phys.

Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs & Wyler, D., Generalized superalgebrasNuclear Phys

Reference 34

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Observation 85f1bf45-58f4-4dd2-b1b6-1fe9534dec3b · outbound

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Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs Unresolved cited work

Reference 35

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Observation 73f68cec-4ae3-4c48-8c17-3ada47804654 · outbound

This paper cites Scheunert, Generalized Lie algebras,J.

Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs Scheunert, Generalized Lie algebras,J

Reference 36

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Observation 4f50e29b-a623-4861-ae7c-3f77ec2674eb · outbound

This paper cites High Energy Phys.2024, No.

Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs High Energy Phys.2024, No

Reference 37

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Observation 1bd2b61b-03e3-477a-9e64-83a6aa481119 · outbound

This paper cites X., Zhao, Q.

Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs X., Zhao, Q

Reference 38

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