Paper Citation Record · LEDGER

Quantum Curves in the Context of Symplectic Duality

As of 17 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 1 inbound Pith citation observation for arXiv:2504.14924.

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

pith.paper-citation-record.v1
2504.14924 v1

Coverage vector

measured 51 of 51 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:52:32.748849Z

measured 52 of 52 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T17:18:50.326524Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

51 of 51 outbound references displayed

verified exact17
verified fuzzy1
unresolved33
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

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Outbound references

Observation 8bd206d0-4b80-4ac8-a1c6-9c422541e62f · outbound

This paper cites Log topological recursion through the prism of $x-y$ swap.

Quantum Curves in the Context of Symplectic Duality Log topological recursion through the prism of $x-y$ swap

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-16T11:52:32.480636Z

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Observation 0307b68c-19e2-4785-b241-07b0d1a2f4f9 · outbound

This paper cites Topological recursion, symplectic duality, and generalized fully simple maps.

Quantum Curves in the Context of Symplectic Duality Topological recursion, symplectic duality, and generalized fully simple maps

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-16T11:52:33.940671Z

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Observation 4c76bb8e-b599-4aeb-84e5-5fca3cd1aff2 · outbound

This paper cites Symplectic duality via log topological recursion.

Quantum Curves in the Context of Symplectic Duality Symplectic duality via log topological recursion

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-16T11:52:33.909400Z

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Observation c2d01a83-84b3-4fbf-8c9a-66777c31ea6a · outbound

This paper cites A universal formula for the $x-y$ swap in topological recursion.

Quantum Curves in the Context of Symplectic Duality A universal formula for the $x-y$ swap in topological recursion

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-16T11:52:32.496930Z

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Observation d6a26c8a-e83b-4fd3-8a41-a928101edd54 · outbound

This paper cites Degenerate and irregular topological recursion.

Quantum Curves in the Context of Symplectic Duality Degenerate and irregular topological recursion

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-16T11:52:32.502111Z

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Observation 6f98471e-c7e6-4b7a-bc6a-b7e3848764a6 · outbound

This paper cites Weighted Hurwitz numbers and topological recursion: an overview.

Quantum Curves in the Context of Symplectic Duality Weighted Hurwitz numbers and topological recursion: an overview

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-16T11:52:33.842606Z

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Observation 796d3708-62e4-4ccb-91a6-2834a940b4ae · outbound

This paper cites Weighted Hurwitz numbers and topological recursion.

Quantum Curves in the Context of Symplectic Duality Weighted Hurwitz numbers and topological recursion

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-16T11:52:32.514667Z

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Observation 628b79d3-a63c-4b5c-96ac-e8acd2cad56c · outbound

This paper cites Ramifications of Hurwitz theory, KP integrability and quantum curves.

Quantum Curves in the Context of Symplectic Duality Ramifications of Hurwitz theory, KP integrability and quantum curves

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-16T11:52:33.781432Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 9e0ce3b0-1fe9-40fc-a8ec-bdaa7de84a03 · outbound

This paper cites Borot, V.

Quantum Curves in the Context of Symplectic Duality Borot, V

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-16T11:52:32.526316Z

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Observation ab9e156b-1ad0-44b2-8d8e-7f409a0fe39a · outbound

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

Quantum Curves in the Context of Symplectic Duality Higher Airy structures, W algebras and topological recursion

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-16T11:52:32.531701Z

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Observation 77d25483-9a5b-407f-a355-f7ac86e85804 · outbound

This paper cites Functional relations for higher-order free cumulants.

Quantum Curves in the Context of Symplectic Duality Functional relations for higher-order free cumulants

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-16T11:52:32.536971Z

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Observation cb786910-c733-4b12-b1dd-e437ca61bc1b · outbound

This paper cites Bouchard, N.

Quantum Curves in the Context of Symplectic Duality Bouchard, N

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:52:34.002958Z

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Observation c20b3c02-326e-49e4-b12d-3cd054cb4f32 · outbound

This paper cites Borot, N.

Quantum Curves in the Context of Symplectic Duality Borot, N

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-16T11:52:32.548000Z

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Observation afae3d79-718e-44d0-abb7-3b7d8ac81c04 · outbound

This paper cites Topological recursion for Kadomtsev-Petviashvili tau functions of hypergeometric type.

Quantum Curves in the Context of Symplectic Duality Topological recursion for Kadomtsev-Petviashvili tau functions of hypergeometric type

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-16T11:52:32.553885Z

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Observation 40d729a2-daf5-4f50-925c-c624abe6abf6 · outbound

This paper cites Symplectic duality for topological recursion.

Quantum Curves in the Context of Symplectic Duality Symplectic duality for topological recursion

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-16T11:52:32.559180Z

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Observation 69dca269-0edf-4c0c-9e24-d525ea737149 · outbound

This paper cites Determinantal formulae and loop equations.

Quantum Curves in the Context of Symplectic Duality Determinantal formulae and loop equations

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-16T11:52:32.565095Z

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Observation fda21356-61de-4907-9fe9-bc1e891cae4f · outbound

This paper cites Think globally, compute locally.

Quantum Curves in the Context of Symplectic Duality Think globally, compute locally

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-16T11:52:33.468054Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1c3832dc-7075-4571-8874-334fe57dd069 · outbound

This paper cites Reconstructing WKB from topological recursion.

Quantum Curves in the Context of Symplectic Duality Reconstructing WKB from topological recursion

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-16T11:52:32.578343Z

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Observation d325066d-c681-470d-817f-f5db2464228c · outbound

This paper cites Torus knots and mirror symmetry.

Quantum Curves in the Context of Symplectic Duality Torus knots and mirror symmetry

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-16T11:52:32.584384Z

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Observation 96f60040-d2b3-47e5-b2ee-76442aae66c0 · outbound

This paper cites Remodeling the B-model.

Quantum Curves in the Context of Symplectic Duality Remodeling the B-model

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-16T11:52:32.588890Z

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Observation 5ecb5991-5c3a-4ac4-8f1e-3242c1f7a9de · outbound

This paper cites Topological recursion and mirror curves.

Quantum Curves in the Context of Symplectic Duality Topological recursion and mirror curves

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-16T11:52:33.391577Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 512902d3-b450-4ad6-9dc3-71a78543e95f · outbound

This paper cites Matrix eigenvalue model: Feynman graph technique for all genera.

Quantum Curves in the Context of Symplectic Duality Matrix eigenvalue model: Feynman graph technique for all genera

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-16T11:52:32.598349Z

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Observation aef3bbd1-e05c-4c79-825b-5b5917184923 · outbound

This paper cites Relations on $\overline{\mathcal{M}}_{g,n}$ and the negative $r$-spin Witten conjecture.

Quantum Curves in the Context of Symplectic Duality Relations on $\overline{\mathcal{M}}_{g,n}$ and the negative $r$-spin Witten conjecture

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-16T11:52:32.603174Z

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Observation 12113063-6ed2-4492-ac77-1b9aef7c6d27 · outbound

This paper cites Bouchard-Klemm-Marino-Pasquetti Conjecture for $\mathbb{C}^3$.

Quantum Curves in the Context of Symplectic Duality Bouchard-Klemm-Marino-Pasquetti Conjecture for $\mathbb{C}^3$

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-16T11:52:33.331080Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 69d099a1-1a53-41aa-b5cf-dc604855202c · outbound

This paper cites Topological recursion with hard edges.

Quantum Curves in the Context of Symplectic Duality Topological recursion with hard edges

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-16T11:52:32.612416Z

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Observation 0bcf4d90-8deb-449d-a3b0-55a3b0fd32db · outbound

This paper cites Topological Recursion for the extended Ooguri-Vafa partition function of colored HOMFLY-PT polynomials of torus knots.

Quantum Curves in the Context of Symplectic Duality Topological Recursion for the extended Ooguri-Vafa partition function of colored HOMFLY-PT polynomials of torus knots

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-16T11:52:33.288763Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6c72d4be-69e6-440a-8101-848accf9a92d · outbound

This paper cites Loop equations and a proof of Zvonkine's $qr$-ELSV formula.

Quantum Curves in the Context of Symplectic Duality Loop equations and a proof of Zvonkine's $qr$-ELSV formula

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-16T11:52:32.623713Z

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Observation ed6de65a-5a47-46b9-ab07-f916976b1f17 · outbound

This paper cites Quantum spectral curve for the Gromov-Witten theory of the complex projective line.

Quantum Curves in the Context of Symplectic Duality Quantum spectral curve for the Gromov-Witten theory of the complex projective line

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-16T11:52:33.245514Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6b3df248-05f3-4b88-b3b4-1d03ed942cd4 · outbound

This paper cites Combinatorial structure of colored HOMFLY-PT polynomials for torus knots.

Quantum Curves in the Context of Symplectic Duality Combinatorial structure of colored HOMFLY-PT polynomials for torus knots

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-16T11:52:32.634545Z

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Observation 8676f176-be1c-4465-889e-ad08003e9fde · outbound

This paper cites Topological recursion and a quantum curve for monotone Hurwitz numbers.

Quantum Curves in the Context of Symplectic Duality Topological recursion and a quantum curve for monotone Hurwitz numbers

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-16T11:52:33.205090Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation be72fee2-6633-4385-9533-66cce38925d8 · outbound

This paper cites Topological recursion for irregular spectral curves.

Quantum Curves in the Context of Symplectic Duality Topological recursion for irregular spectral curves

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-08-16T11:52:33.179982Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8a3538d7-c6a0-4cfd-a1e8-56de4ec63d8d · outbound

This paper cites Topological recursion on the Bessel curve.

Quantum Curves in the Context of Symplectic Duality Topological recursion on the Bessel curve

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-16T11:52:32.650179Z

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Observation 43192dc7-a1b2-4690-b84d-5cee632b7d56 · outbound

This paper cites From topological recursion to wave functions and PDEs quantizing hyperelliptic curves.

Quantum Curves in the Context of Symplectic Duality From topological recursion to wave functions and PDEs quantizing hyperelliptic curves

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-16T11:52:32.655898Z

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Observation a4d66161-eee2-4f37-8a11-8973a5898354 · outbound

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

Quantum Curves in the Context of Symplectic Duality Quantization of classical spectral curves via topological recursion

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-16T11:52:32.662246Z

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Observation 6f68742a-3471-48ad-8160-20620f134167 · outbound

This paper cites Invariants of algebraic curves and topological expansion.

Quantum Curves in the Context of Symplectic Duality Invariants of algebraic curves and topological expansion

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-16T11:52:32.667881Z

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Observation 80235cb4-1bc0-4ffe-897c-2da32b28d81c · outbound

This paper cites Computation of open Gromov-Witten invariants for toric Calabi-Yau 3-folds by topological recursion, a proof of the BKMP conjecture.

Quantum Curves in the Context of Symplectic Duality Computation of open Gromov-Witten invariants for toric Calabi-Yau 3-folds by topological recursion, a proof of the BKMP conjecture

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-16T11:52:32.672780Z

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Observation dc0ab9ea-2f4c-4197-a166-e1fdf7aad5ad · outbound

This paper cites The Geometry of integrable systems. Tau functions and homology of Spectral curves. Perturbative definition.

Quantum Curves in the Context of Symplectic Duality The Geometry of integrable systems. Tau functions and homology of Spectral curves. Perturbative definition

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-16T11:52:32.678214Z

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Observation 76893c56-05a7-44ce-9543-6ef99b227a67 · outbound

This paper cites On the Remodeling Conjecture for Toric Calabi-Yau 3-Orbifolds.

Quantum Curves in the Context of Symplectic Duality On the Remodeling Conjecture for Toric Calabi-Yau 3-Orbifolds

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-16T11:52:32.683552Z

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Observation 3c6d877b-ccfd-4e45-b96b-38c1587d6dd3 · outbound

This paper cites A-polynomial, B-model, and Quantization.

Quantum Curves in the Context of Symplectic Duality A-polynomial, B-model, and Quantization

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-16T11:52:32.688654Z

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Observation ec72f327-bc8b-4c88-934e-466f8e59cbf0 · outbound

This paper cites Laplace transform of the $x-y$ symplectic transformation formula in Topological Recursion.

Quantum Curves in the Context of Symplectic Duality Laplace transform of the $x-y$ symplectic transformation formula in Topological Recursion

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-16T11:52:32.693955Z

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Observation ef7272e6-df02-49b3-9ced-0ba57206078e · outbound

This paper cites A simple formula for the $x$-$y$ symplectic transformation in topological recursion.

Quantum Curves in the Context of Symplectic Duality A simple formula for the $x$-$y$ symplectic transformation in topological recursion

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-16T11:52:32.698802Z

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Observation 8924e24c-44f4-47b4-9504-f4acc2a453b7 · outbound

This paper cites On the $x$-$y$ Symmetry of Correlators in Topological Recursion via Loop Insertion Operator.

Quantum Curves in the Context of Symplectic Duality On the $x$-$y$ Symmetry of Correlators in Topological Recursion via Loop Insertion Operator

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-16T11:52:32.703930Z

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Observation a07e1335-3b68-43cf-b749-bfe0bfdc35d3 · outbound

This paper cites $x-y$ duality in Topological Recursion for exponential variables via Quantum Dilogarithm.

Quantum Curves in the Context of Symplectic Duality $x-y$ duality in Topological Recursion for exponential variables via Quantum Dilogarithm

Reference 43

Resolution: verified exact; local_arxiv, observed 2026-08-16T11:52:32.971701Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 471c907e-5d55-40dd-9819-b5104ddd072e · outbound

This paper cites 2-parameter $\tau$-function for the first Painlev\'e equation -Topological recursion and direct monodromy problem via exact WKB analysis-.

Quantum Curves in the Context of Symplectic Duality 2-parameter $\tau$-function for the first Painlev\'e equation -Topological recursion and direct monodromy problem via exact WKB analysis-

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-16T11:52:32.714454Z

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Observation c3fbebeb-ad7c-4ba8-b5cd-709d14ae1275 · outbound

This paper cites Quantization of hyper-elliptic curves from isomonodromic systems and topological recursion.

Quantum Curves in the Context of Symplectic Duality Quantization of hyper-elliptic curves from isomonodromic systems and topological recursion

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-16T11:52:32.719299Z

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Observation f6f59af4-b03b-4842-b754-a0b00eb1835f · outbound

This paper cites Spectral curves and the Schroedinger equations for the Eynard-Orantin recursion.

Quantum Curves in the Context of Symplectic Duality Spectral curves and the Schroedinger equations for the Eynard-Orantin recursion

Reference 46

Resolution: verified exact; local_arxiv, observed 2026-08-16T11:52:32.911498Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a52badd5-e2b4-427a-97f8-b588bb11a281 · outbound

This paper cites The spectral curve and the Schroedinger equation of double Hurwitz numbers and higher spin structures.

Quantum Curves in the Context of Symplectic Duality The spectral curve and the Schroedinger equation of double Hurwitz numbers and higher spin structures

Reference 47

Resolution: verified exact; local_arxiv, observed 2026-08-16T11:52:32.889429Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation aa02a403-b1b5-481b-b063-f1bbc9dd159f · outbound

This paper cites A new cohomology class on the moduli space of curves.

Quantum Curves in the Context of Symplectic Duality A new cohomology class on the moduli space of curves

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-16T11:52:32.733929Z

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Observation 0ad5bdf0-3358-449f-83a6-492ba02f7768 · outbound

This paper cites The Laplace Transform and Quantum Curves.

Quantum Curves in the Context of Symplectic Duality The Laplace Transform and Quantum Curves

Reference 49

Resolution: verified exact; local_arxiv, observed 2026-08-16T11:52:32.845610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 5e8ed5ab-0bd9-4455-9671-fe4d171ca74b · outbound

This paper cites Local Mirror Symmetry for One-Legged Topological Vertex.

Quantum Curves in the Context of Symplectic Duality Local Mirror Symmetry for One-Legged Topological Vertex

Reference 50

Resolution: verified exact; local_arxiv, observed 2026-08-16T11:52:32.821223Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c9072d46-e517-4fdb-9b4d-a5a3e8bfdcbd · outbound

This paper cites Quantum Mirror Curves for ${\mathbb C}^3$ and the Resolved Confiold.

Quantum Curves in the Context of Symplectic Duality Quantum Mirror Curves for ${\mathbb C}^3$ and the Resolved Confiold

Reference 51

Resolution: verified exact; local_arxiv, observed 2026-08-16T11:52:32.798730Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

Observation cbd135ab-5b12-4d92-a30e-c238ce8066c8 · inbound

Universal Correlators on Exponentially Ramified Spectral Curves cites this paper.

Universal Correlators on Exponentially Ramified Spectral Curves Quantum Curves in the Context of Symplectic Duality

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T17:18:50.326524Z

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Unavailable: canonical work link unavailable.