Paper Citation Record · LEDGER

Parametrized topological phases in 1d and T-duality

As of 13 August 2026, this Paper Citation Record lists 62 of 62 outbound references and 4 inbound Pith citation observations for arXiv:2412.20905.

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

pith.paper-citation-record.v1
2412.20905 v1

Coverage vector

measured 62 of 62 reference resolution

Typed states for the displayed outbound observations.

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One-hop event checks from named stored sources.

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measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-15T22:56:49.729842Z

Reference resolution

62 of 62 outbound references displayed

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External citation measurements

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Outbound references

Observation e0b3f7f8-234f-40d7-a6c4-a0ec61b54eac · outbound

This paper cites Proceedings Inte rnational School of Mathematical Physics - Universita’ di Camerino 30 Sept.

Parametrized topological phases in 1d and T-duality Proceedings Inte rnational School of Mathematical Physics - Universita’ di Camerino 30 Sept

Reference 1

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This paper cites In: Proceed- ings of Symposia in Pure Mathematics, vol.

Parametrized topological phases in 1d and T-duality In: Proceed- ings of Symposia in Pure Mathematics, vol

Reference 2

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This paper cites Journal of operator theory, 97–143 (2000).

Parametrized topological phases in 1d and T-duality Journal of operator theory, 97–143 (2000)

Reference 3

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Parametrized topological phases in 1d and T-duality Unresolved cited work

Reference 4

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This paper cites Communications in Mathematical Physics 144(3), 443–490 (1992) https://doi.org/cmp/1104249404.

Parametrized topological phases in 1d and T-duality Communications in Mathematical Physics 144(3), 443–490 (1992) https://doi.org/cmp/1104249404

Reference 5

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Parametrized topological phases in 1d and T-duality Unresolved cited work

Reference 6

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This paper cites Reviews of 12 Modern Physics 93(4), 045003 (2021).

Parametrized topological phases in 1d and T-duality Reviews of 12 Modern Physics 93(4), 045003 (2021)

Reference 7

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Reference 8

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This paper cites Physics Letters B 201(4), 466–472 (1988) https://doi.org/10.1016/0370- 2693(88)90602-8.

Parametrized topological phases in 1d and T-duality Physics Letters B 201(4), 466–472 (1988) https://doi.org/10.1016/0370- 2693(88)90602-8

Reference 9

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This paper cites Nuclear Physics B 570(3), 685–698 (2000).

Parametrized topological phases in 1d and T-duality Nuclear Physics B 570(3), 685–698 (2000)

Reference 10

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This paper cites SciPost Physics 8(1), 001 (2020).

Parametrized topological phases in 1d and T-duality SciPost Physics 8(1), 001 (2020)

Reference 11

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This paper cites Physical Review B 102(24), 245113 (2020).

Parametrized topological phases in 1d and T-duality Physical Review B 102(24), 245113 (2020)

Reference 12

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This paper cites Communications in Mathematical Physics 249(2), 383–415 (2004) https://doi.

Parametrized topological phases in 1d and T-duality Communications in Mathematical Physics 249(2), 383–415 (2004) https://doi

Reference 13

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This paper cites Reviews in Mat hematical Physics 17(01), 77–112 (2005).

Parametrized topological phases in 1d and T-duality Reviews in Mat hematical Physics 17(01), 77–112 (2005)

Reference 14

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Parametrized topological phases in 1d and T-duality Unresolved cited work

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This paper cites SciPost Physics 8(1), 015 (2020).

Parametrized topological phases in 1d and T-duality SciPost Physics 8(1), 015 (2020)

Reference 16

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This paper cites Journal of High Energy Physics 2021(2) (2021) https://doi.org/10.1007/jhep02(2021)132.

Parametrized topological phases in 1d and T-duality Journal of High Energy Physics 2021(2) (2021) https://doi.org/10.1007/jhep02(2021)132

Reference 17

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This paper cites Journal of Geometry and Physics 58(5), 576–598 (2008) https://doi.org/10.1016/j.geomphys.2007.12.009.

Parametrized topological phases in 1d and T-duality Journal of Geometry and Physics 58(5), 576–598 (2008) https://doi.org/10.1016/j.geomphys.2007.12.009

Reference 18

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This paper cites Equivariant Topological T-Duality.

Parametrized topological phases in 1d and T-duality Equivariant Topological T-Duality

Reference 19

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Observation 0c441d33-9f9c-4683-8e23-a0d7f1debf74 · outbound

This paper cites A groupoid approach to noncommutative T-duality.

Parametrized topological phases in 1d and T-duality A groupoid approach to noncommutative T-duality

Reference 20

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This paper cites Physic al Review B 87(15), 155114 (2013).

Parametrized topological phases in 1d and T-duality Physic al Review B 87(15), 155114 (2013)

Reference 22

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This paper cites Transactions o f the American Mathematical Society, Series B 8(2), 39–65 (2021).

Parametrized topological phases in 1d and T-duality Transactions o f the American Mathematical Society, Series B 8(2), 39–65 (2021)

Reference 23

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This paper cites Journal of Mathe matical Physics 62(8) (2021).

Parametrized topological phases in 1d and T-duality Journal of Mathe matical Physics 62(8) (2021)

Reference 24

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This paper cites JHEP 04, 100 (2017) https://doi.org/10.1007/JHEP04(2017)100.

Parametrized topological phases in 1d and T-duality JHEP 04, 100 (2017) https://doi.org/10.1007/JHEP04(2017)100

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This paper cites Physical Review B 96(7) (2017) https://doi.org/10.1103/physrevb.96.

Parametrized topological phases in 1d and T-duality Physical Review B 96(7) (2017) https://doi.org/10.1103/physrevb.96

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This paper cites Journal of Mathema tical Physics 63(9), 091903 (2022).

Parametrized topological phases in 1d and T-duality Journal of Mathema tical Physics 63(9), 091903 (2022)

Reference 29

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Parametrized topological phases in 1d and T-duality Communications in Mathematic al Physics 405(8), 191 (2024)

Reference 30

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Parametrized topological phases in 1d and T-duality Physical Review B 110(3), 035114 (2024)

Reference 31

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Parametrized topological phases in 1d and T-duality Physical Review B 109(11), 115152 (2024)

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Parametrized topological phases in 1d and T-duality ar Xiv preprint arXiv:2305.07700 (2023)

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Parametrized topological phases in 1d and T-duality Cambridge University Press 14

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Parametrized topological phases in 1d and T-duality Gradu ate Texts in Mathematics

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Parametrized topological phases in 1d and T-duality Lectures on Special Lagrangian Submanifolds

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Parametrized topological phases in 1d and T-duality Reviews in Mathe matical Physics 18(09), 935–970 (2006)

Reference 38

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Parametrized topological phases in 1d and T-duality Reviews in Mathematical Physics 25(09), 1350017 (2013) https:// doi.org/10.1142/S0129055X13500177

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Parametrized topological phases in 1d and T-duality Springer, Heidelberg (2006)

Reference 40

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Parametrized topological phases in 1d and T-duality Commun.Math

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Parametrized topological phases in 1d and T-duality Tom Mainiero: A Categorical Triality: Matrix Pro duct Factors, Positive Maps, and von Neumann Bimodules

Reference 43

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Parametrized topological phases in 1d and T-duality Jour- nal of Functional Analysis 120(2), 511–534 (1994) https://doi.org/10.1006/jfan

Reference 44

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Parametrized topological phases in 1d and T-duality Physical Review Lett ers 94(14) (2005) https://doi.org/10.1103/physrevlett.94.140601

Reference 45

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Reference 46

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Parametrized topological phases in 1d and T-duality Unresolved cited work

Reference 47

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Parametrized topological phases in 1d and T-duality Proceedings of the Royal Society of London

Reference 48

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This paper cites Journal of statistical mechanics: theory and experiment 2007(08), 08024 (2007) 15.

Parametrized topological phases in 1d and T-duality Journal of statistical mechanics: theory and experiment 2007(08), 08024 (2007) 15

Reference 49

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Parametrized topological phases in 1d and T-duality S´ eminaire Dubreil

Reference 50

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Reference 51

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Observation 56263585-b927-4e5d-995f-fb5a4ee42963 · outbound

This paper cites Bulletin de la Soci´ et´ e Math´ ematique de France91, 227–284 (1963) https://doi.

Parametrized topological phases in 1d and T-duality Bulletin de la Soci´ et´ e Math´ ematique de France91, 227–284 (1963) https://doi

Reference 52

Resolution: verified exact; doi, observed 2026-08-10T23:16:23.146760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 43fdb5da-2b9f-4b7c-bc19-0b5a36a827cf · outbound

This paper cites Birkh¨ auser Boston, MA, Boston (1993).

Parametrized topological phases in 1d and T-duality Birkh¨ auser Boston, MA, Boston (1993)

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:16:23.739267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 227138c0-60f4-4fca-8697-8cb4e712e134 · outbound

This paper cites Cambridge University Press, Cambridge (2006).

Parametrized topological phases in 1d and T-duality Cambridge University Press, Cambridge (2006)

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:16:23.724229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b6f25854-9268-45fc-a178-483011a49d43 · outbound

This paper cites Reviews in Mathematical Physics 18(10), 1103–1154 (2006) https://doi.org/10.

Parametrized topological phases in 1d and T-duality Reviews in Mathematical Physics 18(10), 1103–1154 (2006) https://doi.org/10

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:16:23.707822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7d530245-0fca-4857-aceb-a8a995c01844 · outbound

This paper cites Journal of the Australian Mathematical Society.

Parametrized topological phases in 1d and T-duality Journal of the Australian Mathematical Society

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:16:23.691017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8dced5e8-7fb4-4c3e-8c1b-490a47cbeb55 · outbound

This paper cites Gelfand, M.N.: On the imbedding of normed rings into the ring of o perators in Hilbert space.

Parametrized topological phases in 1d and T-duality Gelfand, M.N.: On the imbedding of normed rings into the ring of o perators in Hilbert space

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:16:23.675041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 869096c9-edc0-4f0f-90ba-ef7bd4af5bc9 · outbound

This paper cites Journal of Algebra 19(2), 228–253 (1971) https://doi.org/10.1016/0021-8693(71)90105-0.

Parametrized topological phases in 1d and T-duality Journal of Algebra 19(2), 228–253 (1971) https://doi.org/10.1016/0021-8693(71)90105-0

Reference 58

Resolution: verified exact; doi, observed 2026-08-10T23:16:23.129837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e2a66a9d-a680-4831-b94c-6225534614d9 · outbound

This paper cites Transactions of The American Mathematical Socie ty - TRANS AMER MATH SOC 305, 1–1 (1988) https://doi.org/10.1090/S0002-9947-1988- 0920145-6.

Parametrized topological phases in 1d and T-duality Transactions of The American Mathematical Socie ty - TRANS AMER MATH SOC 305, 1–1 (1988) https://doi.org/10.1090/S0002-9947-1988- 0920145-6

Reference 59

Resolution: malformed identifier; doi_truncated, observed 2026-08-10T23:16:23.112898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 903c1318-8187-4097-8897-60e3e8468ef9 · outbound

This paper cites Springer, Bos ton (2010).

Parametrized topological phases in 1d and T-duality Springer, Bos ton (2010)

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:16:23.656906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5a78ba27-c6ec-47ef-a488-a7854498e453 · outbound

This paper cites Bulletin of the American Mathematical Society 75, 742–749 (1969).

Parametrized topological phases in 1d and T-duality Bulletin of the American Mathematical Society 75, 742–749 (1969)

Reference 61

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:16:23.640315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b0d4b813-2e30-4279-87eb-052d5904586d · outbound

This paper cites Regional conference series in mathematics.

Parametrized topological phases in 1d and T-duality Regional conference series in mathematics

Reference 62

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:16:23.621328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

Observation 9661479d-83dd-4c35-8fb7-c1207da0a8d2 · inbound

Higher Structures on Boundary Conformal Manifolds: Higher Berry Phase and Boundary Conformal Field Theory cites this paper.

Higher Structures on Boundary Conformal Manifolds: Higher Berry Phase and Boundary Conformal Field Theory Parametrized topological phases in 1d and T-duality

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-06T16:54:29.980500Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 75512393-a6ad-4973-ace9-49d9881f190a · inbound

Space of conformal boundary conditions from the view of higher Berry phase: Flow of Berry curvature in parametrized BCFTs cites this paper.

Space of conformal boundary conditions from the view of higher Berry phase: Flow of Berry curvature in parametrized BCFTs Parametrized topological phases in 1d and T-duality

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-06T16:57:35.498607Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6eda2830-aab3-4365-bb53-2473c6c5b7f1 · inbound

Higher Connection in Open String Field Theory cites this paper.

Higher Connection in Open String Field Theory Parametrized topological phases in 1d and T-duality

Reference 62

Resolution: verified exact; arxiv_id, observed 2026-05-15T22:56:49.734048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation bdafdefc-a203-401e-b813-6bde7d8d2daa · inbound

Parameterized Families of Toric Code Phase: $em$-duality family and higher-order anyon pumping cites this paper.

Parameterized Families of Toric Code Phase: $em$-duality family and higher-order anyon pumping Parametrized topological phases in 1d and T-duality

Reference 34

Resolution: verified exact; arxiv_id, observed 2026-05-12T10:41:31.030259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.