Paper Citation Record · LEDGER

Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory

As of 11 August 2026, this Paper Citation Record lists 61 of 61 outbound references and 4 inbound Pith citation observations for arXiv:2509.09330.

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

pith.paper-citation-record.v1
2509.09330 v1

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measured 61 of 61 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-04T19:24:15.597751Z

measured 65 of 65 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 4 of 4 inbound itemization

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Source: paper_references, paper_reference_links, observed 2026-08-03T22:20:16.009482Z

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Source: arxiv_reference, observed 2026-07-01T18:45:59.333371Z

Reference resolution

61 of 61 outbound references displayed

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Outbound references

Observation 0242f17e-c340-42b4-bdeb-1b5138768f44 · outbound

This paper cites The exponents at the first fixed point are found to be 𝜆1,2 = 1 2𝑅 −1± √ 1−4𝑅 2𝜏 ,(22) which are both real and negative; therefore, this is a stable fixed point (a stable node).

Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory The exponents at the first fixed point are found to be 𝜆1,2 = 1 2𝑅 −1± √ 1−4𝑅 2𝜏 ,(22) which are both real and negative; therefore, this is a stable fixed point (a stable node)

Reference 1

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Observation 38ee93ec-7203-47ca-a75a-1cfd7bc5696f · outbound

This paper cites However,theseissuesarenotrelevantinthepresent study, and the regime is physically valid.

Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory However,theseissuesarenotrelevantinthepresent study, and the regime is physically valid

Reference 2

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Observation 5c9bf11b-a1c7-459c-a609-cca361f5c571 · outbound

This paper cites Materials for theQuantumAge.

Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Materials for theQuantumAge

Reference 3

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Observation f86f9af6-c38f-4781-98ea-c40b0f689362 · outbound

This paper cites 46 and 40.

Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory 46 and 40

Reference 4

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Observation 60c498d7-88d1-47c3-87bc-d7b69961af18 · outbound

This paper cites The first thing that one can notice is that the kinetic part of the BdG Hamiltonianℎin Eq.

Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory The first thing that one can notice is that the kinetic part of the BdG Hamiltonianℎin Eq

Reference 5

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Observation c3e9bf95-8b79-48ff-b529-ba66b0ef8572 · outbound

This paper cites In this section,wederivethemodifiedgapequationinthesymmetry- adapted basis given by Eq.

Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory In this section,wederivethemodifiedgapequationinthesymmetry- adapted basis given by Eq

Reference 6

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Observation 3d9e5a21-41c4-4312-b452-311625f9afa6 · outbound

This paper cites Thomale, Crystallography of hyperbolic lattices, Phys.

Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Thomale, Crystallography of hyperbolic lattices, Phys

Reference 7

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Observation 2fc12046-63bf-4a05-825a-8f79e11e5d12 · outbound

This paper cites Maciejko and S.

Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Maciejko and S

Reference 9

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Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Unresolved cited work

Reference 10

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Observation 6c12dd92-f7c0-4560-b7f4-38b2d403e855 · outbound

This paper cites Maciejko and S.

Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Maciejko and S

Reference 11

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Observation 6efd5009-563b-4732-aca2-c05325283f7f · outbound

This paper cites Nagy and S.

Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Nagy and S

Reference 12

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Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Unresolved cited work

Reference 13

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Observation 2faf0803-9603-4223-aee1-1840a7f6c577 · outbound

This paper cites Liu, C.-B.

Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Liu, C.-B

Reference 14

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Observation bba00c69-1f7a-4eab-8c81-d00fac9bfaca · outbound

This paper cites Tao and Y.

Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Tao and Y

Reference 15

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Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Unresolved cited work

Reference 16

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Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Unresolved cited work

Reference 17

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Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Unresolved cited work

Reference 18

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Observation dea836c8-02b9-4043-806d-701c315703a1 · outbound

This paper cites Attar and I.

Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Attar and I

Reference 19

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Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Unresolved cited work

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Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Unresolved cited work

Reference 21

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Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Unresolved cited work

Reference 22

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Observation 723e29de-3332-4cd1-9a7f-000682a7d223 · outbound

This paper cites Stegmaier, L.

Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Stegmaier, L

Reference 23

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Observation 8b76f80c-8b06-4916-82bf-b817379d6adf · outbound

This paper cites Ikeda, S.

Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Ikeda, S

Reference 24

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Observation 6f5c69a0-b74c-48d1-ada0-16aaf2190f16 · outbound

This paper cites Xian, Towards explicit discrete holography: Aperiodic spin chains from hyperbolic tilings, SciPost Phys.13, 103 (2022).

Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Xian, Towards explicit discrete holography: Aperiodic spin chains from hyperbolic tilings, SciPost Phys.13, 103 (2022)

Reference 25

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Observation 634eb5bf-4c13-45f7-ae0c-7257a69de90e · outbound

This paper cites 15, 218 (2023).

Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory 15, 218 (2023)

Reference 26

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Observation 60c9c183-a1d9-406c-939e-546e8a085194 · outbound

This paper cites Boyle, M.

Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Boyle, M

Reference 27

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Observation 4754acb4-2b7a-438e-b62c-934faeaa866d · outbound

This paper cites Asaduzzaman, S.

Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Asaduzzaman, S

Reference 28

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Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Unresolved cited work

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Observation fc027cb5-d320-4f14-9763-c1dbe05cdcba · outbound

This paper cites Shankar and J.

Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Shankar and J

Reference 30

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Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Unresolved cited work

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Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Unresolved cited work

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Observation c2825cd7-0a25-4c99-aa4a-4d0112c82c55 · outbound

This paper cites Boettcher, P.

Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Boettcher, P

Reference 33

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Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Unresolved cited work

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Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Unresolved cited work

Reference 35

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Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Unresolved cited work

Reference 36

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Observation 0b65d672-a4ca-446b-89db-a1d33e93ad03 · outbound

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Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Dusel, T

Reference 37

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Observation e575402c-d25b-407d-9843-fe79bb569af5 · outbound

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Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Mosseri, Y

Reference 38

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Observation 13aa1f71-1f04-472d-ac70-ee47cc34b9c1 · outbound

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Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Vidal and R

Reference 39

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Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Gluscevich, A

Reference 40

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Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Samoilenka and E

Reference 41

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Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Unresolved cited work

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Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Unresolved cited work

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Observation f5795dd6-0dd3-4caa-89b2-bd105c71159f · outbound

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Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Barkman, A

Reference 44

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Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Unresolved cited work

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Observation 3662362f-cc41-4e3a-b3ff-a4ede26114d5 · outbound

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Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Pavliuk, T

Reference 46

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Observation 1bf56350-1bfb-4940-be88-c611b1e66ffd · outbound

This paper cites Zhu,Bogoliubov de Gennes Method and Its Applications (Springer International Publishing, 2016).

Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Zhu,Bogoliubov de Gennes Method and Its Applications (Springer International Publishing, 2016)

Reference 47

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Observation 60151495-4b68-46da-97e7-a3150484b8ca · outbound

This paper cites Expansion creates spin-glass order in finite-connectivity models: a rigorous and intuitive approach from the theory of LDPC codes.

Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Expansion creates spin-glass order in finite-connectivity models: a rigorous and intuitive approach from the theory of LDPC codes

Reference 48

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Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Unresolved cited work

Reference 49

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Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Unresolved cited work

Reference 50

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Observation 69c6b3bb-f4d8-483a-998c-0f4fa3119489 · outbound

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Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Ostilli, C

Reference 51

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Observation 12fc01d3-6a6d-4786-a63b-02cacbe0ffe8 · outbound

This paper cites Hamanaka, A.

Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Hamanaka, A

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Observation 0cbd14c4-3f04-4c5f-a04e-28c1408e50dc · outbound

This paper cites Wagreich, The growth function of a discrete group, inGroup Actions and Vector Fields, Lecture Notes in Mathematics, Vol.

Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Wagreich, The growth function of a discrete group, inGroup Actions and Vector Fields, Lecture Notes in Mathematics, Vol

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Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Unresolved cited work

Reference 54

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Observation ec7eaae6-e06e-499d-bd93-5c991ec2865a · outbound

This paper cites Bartholdi and T.

Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Bartholdi and T

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Observation 993c537a-b979-4e16-8f88-fbdcd3db0bbf · outbound

This paper cites Gouezel, A numerical lower bound for the spectral radius ofrandomwalksonsurfacegroups,Combinatorics,Probability and Computing24, 838–856 (2015).

Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Gouezel, A numerical lower bound for the spectral radius ofrandomwalksonsurfacegroups,Combinatorics,Probability and Computing24, 838–856 (2015)

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Observation 4e316717-a9c9-44e7-b01d-977b10064664 · outbound

This paper cites Dyn.19, 477–493 (2025).

Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Dyn.19, 477–493 (2025)

Reference 57

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Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Unresolved cited work

Reference 58

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Observation 846a0175-8398-464e-abb4-892633817424 · outbound

This paper cites Gor’kov, Microscopic derivation of the Ginzburg-Landau equations in the theory of superconductivity, Soviet Physics JET9, 1364–1367 (1959).

Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Gor’kov, Microscopic derivation of the Ginzburg-Landau equations in the theory of superconductivity, Soviet Physics JET9, 1364–1367 (1959)

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Observation a231a609-1512-4b45-bf3a-022656268bed · outbound

This paper cites Breitenlohner and D.

Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Breitenlohner and D

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Observation c0c54b72-b14b-4a3e-886b-7a8c93858758 · outbound

This paper cites Basteiro, F.

Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Basteiro, F

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Observation ccbcc2f6-789c-4fc1-bbb4-2f7e1813f702 · outbound

This paper cites an unresolved cited work.

Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory Unresolved cited work

Reference 62

Resolution: unresolved; no resolver link, observed 2026-08-04T19:24:15.597751Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation cfbf0c57-1371-43bf-9fd8-413e6861e755 · inbound

Topological states and flat bands in exactly solvable decorated Cayley trees cites this paper.

Topological states and flat bands in exactly solvable decorated Cayley trees Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T22:20:16.009482Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bba64785-cc4a-490e-a2cc-0ee8fbc38ea2 · inbound

Extended Hubbard model on fractals: d-Wave superconductivity and competing pairing channels cites this paper.

Extended Hubbard model on fractals: d-Wave superconductivity and competing pairing channels Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory

Reference 49

Resolution: verified exact; arxiv_id, observed 2026-05-15T09:15:21.125508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a1a6038d-1b30-4932-b0af-1596cdaab8cd · inbound

Lieb-Schultz-Mattis constraints for hyperbolic lattices cites this paper.

Lieb-Schultz-Mattis constraints for hyperbolic lattices Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory

Reference 64

Resolution: verified exact; arxiv_id, observed 2026-05-20T16:48:39.895817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 655802d8-5bc0-4b1e-9981-612204863766 · inbound

Magnetic long-range order at finite temperature in two-dimensional hyperbolic lattices cites this paper.

Magnetic long-range order at finite temperature in two-dimensional hyperbolic lattices Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory

Reference 63

Resolution: verified exact; arxiv_id, observed 2026-07-01T18:45:59.334873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.