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Paper Citation Record · LEDGER

On the Novikov problem for dihedral symmetry potentials

As of 19 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 2026-08-19T06:32:44.657259+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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  • verified fuzzy32
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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

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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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

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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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

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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

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:21:09.398128Z digest=sha256:19a8af2acbe95e59f91bf7eed2e5f558c6edede408c7a3e57386936251cfcac1

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

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:21:09.402786Z digest=sha256:5ad2c13573fbad7bb7921138b1ea423f1496996fd90752ea633bb0a5e1c4d082

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

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raw_fallback, observed 2026-08-15T22:21:10.102134Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:21:09.407092Z digest=sha256:3d9dcb5c7e55c7aaabbe26bd75d8852a05539849c0584a89932a7cf612f5542b

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

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:21:09.411247Z digest=sha256:d15c06b5a49bf4f18d4b4167b1b8136d01d1b3f0adab548ec89183b013de881d

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

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:21:09.415249Z digest=sha256:5c7c929dc54462f6d182a86d322b7186602033b665a27a06a3ee61df28576a0a

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

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raw_fallback, observed 2026-08-15T22:21:10.064160Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:21:09.420217Z digest=sha256:c10a0d04d43f135f6075a6d0768a424adad5eea5aff93b0e10352745dd518134

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

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:21:09.424278Z digest=sha256:e477f6ce8020b452d8afd2ff8145f89c445ced41633c332e831dc20112e61425

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

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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

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:21:09.432674Z digest=sha256:e56bc97d90067cb305f5b2890a0665acd96474f936721c77ca56e39dc29a2b87

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

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:21:09.436919Z digest=sha256:dfda6fd1a227c3f4b4d5073823c24f502468caf59a203dd5977c0c86b4ef6871

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

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:21:09.441085Z digest=sha256:ac00c9caab8b016b485f52f889349d7e111c6a27217c7867487c2551c541853c

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:21:09.445513Z digest=sha256:b7ac7a10bf329e253a28d9f5265cdd0b1137cfc361c102195c0b206475399450

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
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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:21:09.451240Z digest=sha256:5e24ef1da7e8e300b6ca0de31fc95f6880d3a7c0f0b88bc74e28a83d46770793

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

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:21:09.455632Z digest=sha256:a2659e48e21ec652862b1ffdd71df26e285c1cc1ce03277d306a66e6dfa59b55

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
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local_arxiv, observed 2026-08-15T22:21:09.660424Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:21:09.460430Z digest=sha256:1f542b55466907efe00fbfeb3963b50a7eb75e653bbc268da2c01586036d7179

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
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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:21:09.465050Z digest=sha256:ae3e11b0f8ea8adbac70379954b3f94057fbac8e9ac8e167577e697bb5074524

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

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:21:09.469443Z digest=sha256:e5f1f2cf324fc71e87ad6969221c7096734c53ede82c29abd8989ea39c9f9940

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

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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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

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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

This paper cites Pseudoperiodic Topology.

On the Novikov problem for dihedral symmetry potentials Pseudoperiodic Topology

Reference 23

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raw_fallback, observed 2026-08-15T22:21:09.894790Z

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source=pdf_text observed=2026-08-15T22:21:09.481807Z digest=sha256:aaddb4803327e4e7a0e07aaaf307639ad6c814f7d5a1b569acf9669269bdcb19

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

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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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
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raw_fallback, observed 2026-08-15T22:21:09.868763Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:21:09.490840Z digest=sha256:34d5cb9082ce7080e10e33362ddf1038b002bff0402b303669ea1eb8dd11aa6f

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

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raw_fallback, observed 2026-08-15T22:21:09.857600Z

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source=pdf_text observed=2026-08-15T22:21:09.495335Z digest=sha256:676bbf60f837cb1780dcfec5abc3f204aa7d1631485384136d036845d75545fb

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

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

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:21:09.499161Z digest=sha256:191f3513decc00835b5691f0e70047359f554ec6582f9efde0d30e37b5c35fd2

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:21:09.503418Z digest=sha256:1bf6fbbed6bc2fd098bcbc67c0ebd6ff1e7ef949f83a1be15ad6f902692f5fd2

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:21:09.507458Z digest=sha256:2fa18e82cba177067aae3f39eed76ffa6d11bd1649aa7803ab3b878593a6c354

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
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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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:21:09.511653Z digest=sha256:c3caad7a8b0ded2c186cc58e9c93dea563ab9c08accf192c97d3dc5d377a3b5b

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
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raw_fallback, observed 2026-08-15T22:21:09.789139Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:21:09.515386Z digest=sha256:ef7200c739e499aba2b29cc333b93e19960340fc243784bef18bc362dc5c00f5

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

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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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:21:09.519492Z digest=sha256:4ce752ad078f49d5d860027f6c77f5a68f97ce8192f0ed052028294e54e9ded0

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.

source=pdf_text observed=2026-08-15T22:21:09.523221Z digest=sha256:605d400e22676b34c079d740095136402ff9759ed5a636909c10f8f0ce65f5d3

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
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raw_fallback, observed 2026-08-15T22:21:09.759967Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:21:09.527305Z digest=sha256:648a611d560ed4dc8112e47f37d6f0c01122e4175ecdd209ab888f70b974fd7e

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:21:09.531236Z digest=sha256:8954993f97529be9a2ab1aab35b6df94eed4b8bb8dd3defb2fac8751c4ca7097

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:21:09.535625Z digest=sha256:6afeb8a749ed133e449091d3e5171e70213a2cc2be8079732bf3122557c54476

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:21:09.539717Z digest=sha256:3ca7eda0a18abd780f092a3833921d3f22c8e31d8b3ebe68d019e6e661d68874

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:21:09.544619Z digest=sha256:c933260f849e284b5cfcdcc84f38f3cf888ea0b31f8863bfa8a82dc1aec2c3b2

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:21:09.550263Z digest=sha256:88037c6cfc4dc68f0b59d489680780ca727a8492eba33cf40aba0c2cae7e44d6

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:21:09.555380Z digest=sha256:0c85d5dabbb0f7e703ebcb69855226fef4e7452aaf99973d3f93acd960b4f81f

Pith citing papers

No inbound Pith citation observations are available.