Paper Citation Record · LEDGER

On the Novikov problem for dihedral symmetry potentials

As of 21 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2505.07657.

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

pith.paper-citation-record.v1
2505.07657 v1

Coverage vector

measured 40 of 40 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-15T22:21:09.555380Z

measured 40 of 40 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

40 of 40 outbound references displayed

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External citation measurements

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Outbound references

Observation 4d054f1e-9f8c-4ef5-93c7-ea6506c850dd · outbound

This paper cites Novikov, The Hamiltonian formalism and a many- valued analogue of Morse theory, Russian Math.

On the Novikov problem for dihedral symmetry potentials Novikov, The Hamiltonian formalism and a many- valued analogue of Morse theory, Russian Math

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:21:10.178703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c5d9e461-52d2-4030-b838-686458df08ae · outbound

This paper cites Zorich, A problem of Novikov on the semiclassi- cal motion of an electron in a uniform almost rational magnetic ﬁeld., Russian Math.

On the Novikov problem for dihedral symmetry potentials Zorich, A problem of Novikov on the semiclassi- cal motion of an electron in a uniform almost rational magnetic ﬁeld., Russian Math

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:21:10.164099Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 09fb3f64-df15-4660-a7ca-39a111590bee · outbound

This paper cites Dynnikov, Proof of S.P.

On the Novikov problem for dihedral symmetry potentials Dynnikov, Proof of S.P

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:21:10.148037Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b8627cf9-d8e7-4401-b945-8d551ac1ed06 · outbound

This paper cites Tsarev, private communication, 1992-1993.

On the Novikov problem for dihedral symmetry potentials Tsarev, private communication, 1992-1993

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:21:10.129261Z

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Observation b963901b-fb4a-494c-83a6-4b1fd1bac9b5 · outbound

This paper cites Dynnikov, Proof of S.P.

On the Novikov problem for dihedral symmetry potentials Dynnikov, Proof of S.P

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:21:10.114823Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2786a08e-9d0a-4993-971d-38db78835bcb · outbound

This paper cites Geometric Study of Foli- 7 ations.

On the Novikov problem for dihedral symmetry potentials Geometric Study of Foli- 7 ations

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:21:10.102134Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5303feef-619c-4f8f-b67f-9cb8af02fe73 · outbound

This paper cites Dynnikov., Surfaces in 3-torus: geometry of plane sections., Proc.

On the Novikov problem for dihedral symmetry potentials Dynnikov., Surfaces in 3-torus: geometry of plane sections., Proc

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:21:10.088343Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ce78e133-d060-4336-ae80-68e8e8af0cd2 · outbound

This paper cites Dynnikov., Semiclassical motion of the electron.

On the Novikov problem for dihedral symmetry potentials Dynnikov., Semiclassical motion of the electron

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:21:10.076224Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 272b4817-910e-4645-98d0-f054cd6d9844 · outbound

This paper cites Dynnikov, The geometry of stability regions in Novikov’s problem on the semiclassical motion of an elec- tron, Russian Math.

On the Novikov problem for dihedral symmetry potentials Dynnikov, The geometry of stability regions in Novikov’s problem on the semiclassical motion of an elec- tron, Russian Math

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:21:10.064160Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 20a05935-0aee-4b2e-ba15-752339c3d633 · outbound

This paper cites Novikov, A.Y.

On the Novikov problem for dihedral symmetry potentials Novikov, A.Y

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:21:10.049917Z

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Observation 63206d25-ae7b-45c8-aa0d-9baa570a7266 · outbound

This paper cites Novikov, A.Y.

On the Novikov problem for dihedral symmetry potentials Novikov, A.Y

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:21:10.031917Z

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Observation 90c29d46-4c40-4ca8-a4bc-0499fb100261 · outbound

This paper cites Maltsev, S.P.

On the Novikov problem for dihedral symmetry potentials Maltsev, S.P

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:21:10.017454Z

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Observation 4e1a5c01-292e-4b3e-a0d1-048829ce6f41 · outbound

This paper cites Maltsev, S.P.

On the Novikov problem for dihedral symmetry potentials Maltsev, S.P

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:21:10.002728Z

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Observation db7d3c4e-813d-4247-98c7-4f5dc823c227 · outbound

This paper cites Maltsev, S.P.

On the Novikov problem for dihedral symmetry potentials Maltsev, S.P

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:21:09.986834Z

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Observation e5d77cb9-a51f-4267-a409-897ae0822642 · outbound

This paper cites Geometry of quasiperiodic functions on the plane.

On the Novikov problem for dihedral symmetry potentials Geometry of quasiperiodic functions on the plane

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-15T22:21:09.445513Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 18f75a9a-182f-497c-89a1-66908303486a · outbound

This paper cites Novikov, Levels of quasiperiodic functions on a plane, and Hamiltonian systems, Russian Math.

On the Novikov problem for dihedral symmetry potentials Novikov, Levels of quasiperiodic functions on a plane, and Hamiltonian systems, Russian Math

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:21:09.973030Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5ba28d2b-edfe-4c9f-9686-85e69af95b9c · outbound

This paper cites Dynnikov, S.P.

On the Novikov problem for dihedral symmetry potentials Dynnikov, S.P

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:21:09.960183Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d1069068-1ea2-4a4a-84cd-4c895e52424e · outbound

This paper cites On the Novikov problem with a large number of quasiperiods and its generalizations.

On the Novikov problem for dihedral symmetry potentials On the Novikov problem with a large number of quasiperiods and its generalizations

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-15T22:21:09.660424Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f48f92ba-317c-4740-b09f-57d13b786677 · outbound

This paper cites Maltsev, S.P.

On the Novikov problem for dihedral symmetry potentials Maltsev, S.P

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:21:09.947527Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 53373d65-fba5-4359-8fbe-c41d1e9564cd · outbound

This paper cites Zorich., Finite Gauss measure on the space of in- terval exchange transformations.

On the Novikov problem for dihedral symmetry potentials Zorich., Finite Gauss measure on the space of in- terval exchange transformations

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:21:09.934011Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2696b085-c725-44e4-b6d3-8c324770d287 · outbound

This paper cites an unresolved cited work.

On the Novikov problem for dihedral symmetry potentials Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-15T22:21:09.920128Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 09c94ae6-7cc0-4771-9b5f-da469fed2f4f · outbound

This paper cites an unresolved cited work.

On the Novikov problem for dihedral symmetry potentials Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-15T22:21:09.906507Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 016d5ac3-4a0c-4888-bf85-929e5cac6196 · outbound

This paper cites Pseudoperiodic Topology.

On the Novikov problem for dihedral symmetry potentials Pseudoperiodic Topology

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:21:09.894790Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0b69f254-7709-40d3-87cd-043800798c95 · outbound

This paper cites De Leo, Existence and measure of ergodic leaves in Novikov’s problem on the semiclassical motion of an elec- tron., Russian Math.

On the Novikov problem for dihedral symmetry potentials De Leo, Existence and measure of ergodic leaves in Novikov’s problem on the semiclassical motion of an elec- tron., Russian Math

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:21:09.881258Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ba07eacb-14a2-4fe7-bac3-286d19fbbaae · outbound

This paper cites ergodic di- rections.

On the Novikov problem for dihedral symmetry potentials ergodic di- rections

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:21:09.868763Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 19db7fae-171b-42a7-99c0-20f46bf9affc · outbound

This paper cites De Leo., Topology of plane sections of periodic poly- hedra with an application to the Truncated Octahedron., Experimental Mathematics 15:1 (2006), 109-124.

On the Novikov problem for dihedral symmetry potentials De Leo., Topology of plane sections of periodic poly- hedra with an application to the Truncated Octahedron., Experimental Mathematics 15:1 (2006), 109-124

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:21:09.857600Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 62549674-f3cc-469b-aad1-33b9e4a56496 · outbound

This paper cites Frontiers in Number Theory, Physics and Geometry. Vol. 1: On ran- dom matrices, zeta functions and dynamical systems.

On the Novikov problem for dihedral symmetry potentials Frontiers in Number Theory, Physics and Geometry. Vol. 1: On ran- dom matrices, zeta functions and dynamical systems

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:21:09.844115Z

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Observation 62475c62-e826-4467-9e76-8d54a5a6e379 · outbound

This paper cites De Leo, I.A.

On the Novikov problem for dihedral symmetry potentials De Leo, I.A

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:21:09.830710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 55c95445-bdb1-40e9-ac2f-1428319bb258 · outbound

This paper cites Dynnikov, Interval identiﬁcation systems and pla ne sections of 3-periodic surfaces., Proceedings of the Steklov Institute of Mathematics 263:1 (2008), 65-77.

On the Novikov problem for dihedral symmetry potentials Dynnikov, Interval identiﬁcation systems and pla ne sections of 3-periodic surfaces., Proceedings of the Steklov Institute of Mathematics 263:1 (2008), 65-77

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:21:09.817237Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4b09c3f9-2016-409c-802c-03b93290025a · outbound

This paper cites De Leo, I.A.

On the Novikov problem for dihedral symmetry potentials De Leo, I.A

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:21:09.803382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e521da25-aa30-492b-8989-66a78e6295fa · outbound

This paper cites Skripchenko., Symmetric interval identiﬁcation sy s- tems of order three., Discrete Contin.

On the Novikov problem for dihedral symmetry potentials Skripchenko., Symmetric interval identiﬁcation sy s- tems of order three., Discrete Contin

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:21:09.789139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 47de1ec4-ead6-421c-b759-cadf9b63652e · outbound

This paper cites Skripchenko., On connectedness of chaotic sections of some 3-periodic surfaces., Ann.

On the Novikov problem for dihedral symmetry potentials Skripchenko., On connectedness of chaotic sections of some 3-periodic surfaces., Ann

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:21:09.774238Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 09a72647-0397-4f67-bf66-7e9c23ce861b · outbound

This paper cites On typical leaves of a measured foliated 2-complex of thin type.

On the Novikov problem for dihedral symmetry potentials On typical leaves of a measured foliated 2-complex of thin type

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-15T22:21:09.523221Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2ac05db0-37b4-4396-a2cf-b06048a1aab9 · outbound

This paper cites Dynnikov, A.

On the Novikov problem for dihedral symmetry potentials Dynnikov, A

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:21:09.759967Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation cd7e41c0-2f57-4aea-890f-6a5b85afba83 · outbound

This paper cites A vila, P.

On the Novikov problem for dihedral symmetry potentials A vila, P

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:21:09.747646Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 30affc98-5ab1-4676-b4cc-d505b8445aef · outbound

This paper cites A vila, P.

On the Novikov problem for dihedral symmetry potentials A vila, P

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:21:09.734559Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 22b930c3-e405-4abc-b344-52697a1024bc · outbound

This paper cites Maltsev, S.P.

On the Novikov problem for dihedral symmetry potentials Maltsev, S.P

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:21:09.720401Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c3d00c70-ee5e-40d4-8a16-8e8ae56a947b · outbound

This paper cites Dynamical systems around the Rauzy gasket and their ergodic properties.

On the Novikov problem for dihedral symmetry potentials Dynamical systems around the Rauzy gasket and their ergodic properties

Reference 38

Resolution: verified exact; local_arxiv, observed 2026-08-15T22:21:09.621306Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fe7714b0-285d-4100-8c6b-5e62133324b4 · outbound

This paper cites On the Novikov problem for superposition of periodic potentials.

On the Novikov problem for dihedral symmetry potentials On the Novikov problem for superposition of periodic potentials

Reference 39

Resolution: verified exact; local_arxiv, observed 2026-08-15T22:21:09.601600Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 82b0f0ab-2155-4a4e-b0ce-2c0f8c8494ef · outbound

This paper cites an unresolved cited work.

On the Novikov problem for dihedral symmetry potentials Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-15T22:21:09.702020Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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