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Paper Citation Record · LEDGER

$q$-Deformed Topological Recursion: Quantum Curves and Non-perturbative Analysis

As of 20 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2608.02179.

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

pith.paper-citation-record.v1
2608.02179 v1

Coverage vector

measured 32 of 32 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-04T12:54:24.046511Z

measured 32 of 32 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 0 of 0 inbound itemization

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

32 of 32 outbound references displayed

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Outbound references

Observation 91e37ca1-a871-4b07-9fcf-54ba1cc55de9 · outbound

This paper cites an unresolved cited work.

$q$-Deformed Topological Recursion: Quantum Curves and Non-perturbative Analysis Unresolved cited work

Reference 1

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Observation d06c9381-0586-41de-a2bf-1bbe65acde3a · outbound

This paper cites A renormalised description of meromorphic connections over curves.

$q$-Deformed Topological Recursion: Quantum Curves and Non-perturbative Analysis A renormalised description of meromorphic connections over curves

Reference 2

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source=pdf_text observed=2026-08-04T12:54:22.194295Z digest=sha256:c7f71b0d56cd88d430a030f0e9009c3d4cbfed571f9722fe7ce12be0bc1b2330

Observation 6f764089-d4ff-48d6-8f74-179664e6cb4c · outbound

This paper cites Belliard, B.

$q$-Deformed Topological Recursion: Quantum Curves and Non-perturbative Analysis Belliard, B

Reference 3

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source=pdf_text observed=2026-08-04T12:54:22.237368Z digest=sha256:9dc98748538b8eef26cc36b805d59b036729560546ee92121c516a3f8c5af6b6

Observation d5ccf74a-d9a6-47ae-b914-8b68aee0988f · outbound

This paper cites Belliard, B.

$q$-Deformed Topological Recursion: Quantum Curves and Non-perturbative Analysis Belliard, B

Reference 4

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source=pdf_text observed=2026-08-04T12:54:22.248736Z digest=sha256:8b2b469c315814d6e8ec28cf5aebec9fb9b7608d69d0179ed626aa66347a38f0

Observation 3b8b5f52-dada-45ad-af73-0bed2cf146a9 · outbound

This paper cites Belliard, V.

$q$-Deformed Topological Recursion: Quantum Curves and Non-perturbative Analysis Belliard, V

Reference 5

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source=pdf_text observed=2026-08-04T12:54:22.291947Z digest=sha256:09b367976a33dffc85c1f65d3a69ac6b75cbeb5b0c35ee9b660dde4389824957

Observation 84ef03b0-65c0-4729-88b0-890eac94fc2a · outbound

This paper cites Determinantal formulae and loop equations.

$q$-Deformed Topological Recursion: Quantum Curves and Non-perturbative Analysis Determinantal formulae and loop equations

Reference 6

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source=pdf_text observed=2026-08-04T12:54:22.331840Z digest=sha256:32a1d811e6860d8eb5024f92b9fff8c69450173488af80a8f8c531886cd9e9b8

Observation a6e2724e-44d2-4ca6-bde8-16ef1f60051a · outbound

This paper cites Berg` ere, G.

$q$-Deformed Topological Recursion: Quantum Curves and Non-perturbative Analysis Berg` ere, G

Reference 7

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source=pdf_text observed=2026-08-04T12:54:22.405923Z digest=sha256:e95ef16b0a84971b550c39427983d2014e29c94c8db1dcd221460a79c6117c74

Observation d24111d5-6d2f-4a34-ae6b-04d9db4c30f7 · outbound

This paper cites Whittaker vectors for $\mathcal{W}$-algebras from topological recursion.

$q$-Deformed Topological Recursion: Quantum Curves and Non-perturbative Analysis Whittaker vectors for $\mathcal{W}$-algebras from topological recursion

Reference 8

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source=pdf_text observed=2026-08-04T12:54:22.533078Z digest=sha256:dbdd84b4c799e6f223dac587f3675619577162720180f35e584a6376a24998a2

Observation 307ab8bc-2162-4502-b239-91e57e9e07af · outbound

This paper cites Higher Airy structures, W algebras and topological recursion.

$q$-Deformed Topological Recursion: Quantum Curves and Non-perturbative Analysis Higher Airy structures, W algebras and topological recursion

Reference 9

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source=pdf_text observed=2026-08-04T12:54:22.642113Z digest=sha256:7f3e5dd7c944f9bfdb549d9ca28d69d5beb9ba4d559d47693e5698ac8e8428e6

Observation 793835d6-51de-48ac-b3d5-9861aa6d2758 · outbound

This paper cites Borot, V.

$q$-Deformed Topological Recursion: Quantum Curves and Non-perturbative Analysis Borot, V

Reference 10

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source=pdf_text observed=2026-08-04T12:54:22.734247Z digest=sha256:6f8a083e2a361e5d20c37c60dc85b4f7958e3eb3d48530a48efac3a48938f2ed

Observation 51be67ce-e942-45b0-8d8a-c095758940f1 · outbound

This paper cites Higher Airy structures and topological recursion for singular spectral curves.

$q$-Deformed Topological Recursion: Quantum Curves and Non-perturbative Analysis Higher Airy structures and topological recursion for singular spectral curves

Reference 11

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source=pdf_text observed=2026-08-04T12:54:22.798732Z digest=sha256:a48e002162ebe2e7703140047fcee2f3bd896783799ad54366c8260520b64e79

Observation 28abf233-db72-475a-8a5d-f3a87cf639d4 · outbound

This paper cites Bott and L.

$q$-Deformed Topological Recursion: Quantum Curves and Non-perturbative Analysis Bott and L

Reference 12

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source=pdf_text observed=2026-08-04T12:54:22.857703Z digest=sha256:642d6e52fa607a80cc18d634bac45de8d44b4a6881e79b64d446c81ea547a6a2

Observation e7820262-f8cb-48a0-bb65-373c9337b0f8 · outbound

This paper cites Bouchard.

$q$-Deformed Topological Recursion: Quantum Curves and Non-perturbative Analysis Bouchard

Reference 13

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source=pdf_text observed=2026-08-04T12:54:22.920512Z digest=sha256:a0a0cb27aed038a9990e44593d33368b5671b5c670f3caf6d104b0b6f7e6a58e

Observation 32e2bb26-3427-4d2b-a451-553d8d471abd · outbound

This paper cites Bouchard and B.

$q$-Deformed Topological Recursion: Quantum Curves and Non-perturbative Analysis Bouchard and B

Reference 14

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source=pdf_text observed=2026-08-04T12:54:22.960534Z digest=sha256:0bb765bf3095026a0822dfe7ec47f44e720dc0a4d9d4f7f7abddeb3986ca41a9

Observation aa423cf0-3328-493f-b01d-40914f58af9d · outbound

This paper cites Bouchard, T.

$q$-Deformed Topological Recursion: Quantum Curves and Non-perturbative Analysis Bouchard, T

Reference 15

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source=pdf_text observed=2026-08-04T12:54:23.020627Z digest=sha256:1d556986cae9468f27e8d353e9752c4f58516cee0d244df8401d5f1bed4ca695

Observation bf3f43c2-a485-42d3-be05-8bc5497f4272 · outbound

This paper cites Cartan.Formes diff´ erentielles, Hermann, Paris, 1967.

$q$-Deformed Topological Recursion: Quantum Curves and Non-perturbative Analysis Cartan.Formes diff´ erentielles, Hermann, Paris, 1967

Reference 16

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Observation 44ab2e03-7cea-46e4-9af6-8eaabf17dccf · outbound

This paper cites Chari and A.

$q$-Deformed Topological Recursion: Quantum Curves and Non-perturbative Analysis Chari and A

Reference 17

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source=pdf_text observed=2026-08-04T12:54:23.126874Z digest=sha256:f33b7176a9906d213d2caa691d624b98ff209ccff043a9ac119a9b62b10104f3

Observation 2ea2cf5a-52cc-4e98-99fd-0c09c2557773 · outbound

This paper cites Chekhov, B.

$q$-Deformed Topological Recursion: Quantum Curves and Non-perturbative Analysis Chekhov, B

Reference 18

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Observation 4643d94d-d362-455a-bd51-b19464fc2372 · outbound

This paper cites Quantization of classical spectral curves via topological recursion.

$q$-Deformed Topological Recursion: Quantum Curves and Non-perturbative Analysis Quantization of classical spectral curves via topological recursion

Reference 19

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Observation dbf13c12-6fdd-4f81-8394-88742e075eb8 · outbound

This paper cites Eynard, M.

$q$-Deformed Topological Recursion: Quantum Curves and Non-perturbative Analysis Eynard, M

Reference 20

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Observation bbe78b55-4252-4867-9eeb-6906a0287a35 · outbound

This paper cites Eynard and N.

$q$-Deformed Topological Recursion: Quantum Curves and Non-perturbative Analysis Eynard and N

Reference 21

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Observation e0b7c3f8-d8e7-484e-a74d-0109d5d1aeb9 · outbound

This paper cites Eynard and N.

$q$-Deformed Topological Recursion: Quantum Curves and Non-perturbative Analysis Eynard and N

Reference 22

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source=pdf_text observed=2026-08-04T12:54:23.441934Z digest=sha256:49d9e582ffe8ae229d1b082685bfa4e384bc3816b10a3ce1c3bfa5833fffe3bf

Observation 9c949de8-591a-4484-be6a-e7a4488c109e · outbound

This paper cites Gasper and M.

$q$-Deformed Topological Recursion: Quantum Curves and Non-perturbative Analysis Gasper and M

Reference 23

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source=pdf_text observed=2026-08-04T12:54:23.497791Z digest=sha256:f76b5e628ef01a84132e9a33f28e3a40837f63b3b16f7e2c67acce0397e6fe99

Observation 9ae01779-da04-487e-ba11-318f0e920682 · outbound

This paper cites Iwaki, O.

$q$-Deformed Topological Recursion: Quantum Curves and Non-perturbative Analysis Iwaki, O

Reference 24

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source=pdf_text observed=2026-08-04T12:54:23.568083Z digest=sha256:9702c5e2d7a3798bde96a5309bd77a342cf9f02bca89391ddb01406d24041eec

Observation fec4f844-7ac5-4e69-b175-170c8948e775 · outbound

This paper cites Kac and P.

$q$-Deformed Topological Recursion: Quantum Curves and Non-perturbative Analysis Kac and P

Reference 25

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source=pdf_text observed=2026-08-04T12:54:23.644261Z digest=sha256:cc29499a9d0ee384022cfef31e1f41d70e6cc076f6ec7a893b798bbaa1bff361

Observation 11599f91-445b-4194-8dd3-0151946d07b9 · outbound

This paper cites Airy structures and symplectic geometry of topological recursion.

$q$-Deformed Topological Recursion: Quantum Curves and Non-perturbative Analysis Airy structures and symplectic geometry of topological recursion

Reference 26

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Observation ddfdadc1-b0d6-4628-a2b4-ecc6ab1a8748 · outbound

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$q$-Deformed Topological Recursion: Quantum Curves and Non-perturbative Analysis Unresolved cited work

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Observation 763cfacd-6f9c-41bd-815f-8b8c327e0f8f · outbound

This paper cites Lang.Fundamentals of Differential Geometry, Graduate Texts in Mathematics, vol.

$q$-Deformed Topological Recursion: Quantum Curves and Non-perturbative Analysis Lang.Fundamentals of Differential Geometry, Graduate Texts in Mathematics, vol

Reference 28

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Observation fc7746d4-b331-4c63-95ce-8f609ec6dc96 · outbound

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$q$-Deformed Topological Recursion: Quantum Curves and Non-perturbative Analysis Unresolved cited work

Reference 29

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source=pdf_text observed=2026-08-04T12:54:23.850826Z digest=sha256:0f2982de10023d378df5bd1588a2418be0c05750b36aeb209d8cbac709dc6bb1

Observation 35ca9b26-1b60-4add-a8a3-50ff2fd90d30 · outbound

This paper cites Melong and R.

$q$-Deformed Topological Recursion: Quantum Curves and Non-perturbative Analysis Melong and R

Reference 30

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source=pdf_text observed=2026-08-04T12:54:23.930177Z digest=sha256:1c16a93d722906617b550776e192c90ddaa63b259878374bda1af231894246ea

Observation c7d7f733-fa4d-4c0c-9986-a1f6660ecd18 · outbound

This paper cites Finite vs. affine W-algebras.

$q$-Deformed Topological Recursion: Quantum Curves and Non-perturbative Analysis Finite vs. affine W-algebras

Reference 31

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source=pdf_text observed=2026-08-04T12:54:23.986194Z digest=sha256:75564f5fb7255d53e82e5d3bc6c3afec348e2c0ae7d0f91df3ddd9bd9eb5436a

Observation 20e7d0b8-2dae-401b-8a02-7cf38680648d · outbound

This paper cites Spivak.Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus, Westview Press, New York, 1965.

$q$-Deformed Topological Recursion: Quantum Curves and Non-perturbative Analysis Spivak.Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus, Westview Press, New York, 1965

Reference 32

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source=pdf_text observed=2026-08-04T12:54:24.046511Z digest=sha256:fb53c39d1983bf6ebf4d86b0cc146ef61f14e3bfcf3dc03b8529da2eee38781f

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