Paper Citation Record · LEDGER

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies

As of 12 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 1 inbound Pith citation observation for arXiv:2411.15496.

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

pith.paper-citation-record.v1
2411.15496 v1

Coverage vector

measured 46 of 46 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T14:21:27.414695Z

measured 47 of 47 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-10T15:14:26.116280Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T10:56:06.194574Z

Reference resolution

46 of 46 outbound references displayed

verified exact4
verified fuzzy31
unresolved11
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External citation measurements

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Outbound references

Observation 3bdc29a1-d223-491f-9e60-32910459d257 · outbound

This paper cites Arsie, A.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Arsie, A

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:21:28.162041Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3afa8625-e804-473e-bf71-7b8dca674539 · outbound

This paper cites Arsie, A.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Arsie, A

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:21:28.150314Z

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Observation bc32bf66-1142-49cb-9505-277fb2ca0193 · outbound

This paper cites On the strong DR/DZ equivalence conjecture.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies On the strong DR/DZ equivalence conjecture

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-12T14:21:27.233013Z

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Unavailable: canonical work link unavailable.

Observation b9d3d8a5-2af6-43de-aa4c-61855adf6d15 · outbound

This paper cites Brini, G.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Brini, G

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:21:28.138534Z

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Observation 3376c2b1-aa99-4c6c-9cd8-7ed1379ed2db · outbound

This paper cites Buryak, Double ramiﬁcation cycles and integrable hie rarchies, Comm.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Buryak, Double ramiﬁcation cycles and integrable hie rarchies, Comm

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:21:28.125881Z

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Observation 47873155-f288-4a8d-8818-70711f26b60a · outbound

This paper cites Buryak, H.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Buryak, H

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:21:28.113481Z

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Observation 028cd0ef-e285-4e07-8bd0-48dba974cbd9 · outbound

This paper cites Buryak, H.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Buryak, H

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:21:28.099460Z

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Observation 88ce35be-c248-4350-b898-8548af98b13a · outbound

This paper cites Carlet, B.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Carlet, B

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:21:28.086956Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 60d32ef8-12ec-47e0-8fe1-eb7280098f10 · outbound

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

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Relations on $\overline{\mathcal{M}}_{g,n}$ and the negative $r$-spin Witten conjecture

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-12T14:21:27.259621Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation de286707-d184-4f08-b515-84559209f449 · outbound

This paper cites Dubrovin, Geometry of 2D topological ﬁeld theories, In: Integrable systems and quantum groups (Montecatini Terms, 1993), Lecture Notes in Math., 1620, Springer, Berlin, 1996, pp.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Dubrovin, Geometry of 2D topological ﬁeld theories, In: Integrable systems and quantum groups (Montecatini Terms, 1993), Lecture Notes in Math., 1620, Springer, Berlin, 1996, pp

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:21:28.073978Z

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Observation a11f8eee-ef8a-4f70-be06-9d53807e0d23 · outbound

This paper cites Dubrovin, Integrable systems and classiﬁcation of 2 -dimensional topological ﬁeld theories, In: Integrable Systems, Progress in Mathematics , vol.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Dubrovin, Integrable systems and classiﬁcation of 2 -dimensional topological ﬁeld theories, In: Integrable Systems, Progress in Mathematics , vol

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:21:28.062025Z

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Observation 3ef455d9-b7d5-44f8-a799-7a74a71df7b0 · outbound

This paper cites Dubrovin, Painlev´ e transcendents in two-dimensio nal topological ﬁeld theory, In: The Painlev´ e property, CRM Ser.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Dubrovin, Painlev´ e transcendents in two-dimensio nal topological ﬁeld theory, In: The Painlev´ e property, CRM Ser

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:21:28.046876Z

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Observation 8d537764-6f8b-44cd-b69f-885dd03d18d3 · outbound

This paper cites Dubrovin, S.-Q.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Dubrovin, S.-Q

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:21:28.028746Z

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Observation 03226e9b-01dc-4f7f-bbc8-255d3ec1abcc · outbound

This paper cites Dubrovin, Y.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Dubrovin, Y

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:21:28.002724Z

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Observation a0ae43cc-067b-44f1-a67a-0204f301d1db · outbound

This paper cites Dubrovin, Y.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Dubrovin, Y

Reference 15

Resolution: verified exact; raw_fallback, observed 2026-08-12T14:21:27.620513Z

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Observation a14d090f-cd3e-44e7-b161-1a8bdf1a7e7e · outbound

This paper cites Dubrovin, Y.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Dubrovin, Y

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:21:27.988593Z

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Observation 68414c94-5691-4216-995f-d92ede47354c · outbound

This paper cites an unresolved cited work.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:21:27.976176Z

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Observation 1ad8d89a-1134-431a-a49a-5d789f383a08 · outbound

This paper cites Feigin, L.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Feigin, L

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:21:27.965876Z

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Observation 528735c8-e79a-4883-a2dc-58705ad92fdd · outbound

This paper cites Getzler, The jet-space of a Frobenius manifold and hi gher-genus Gromov-Witten invariants, In: Frobenius manifolds, Aspects Math., E36, F riedr.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Getzler, The jet-space of a Frobenius manifold and hi gher-genus Gromov-Witten invariants, In: Frobenius manifolds, Aspects Math., E36, F riedr

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:21:27.954232Z

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Observation 89b66d23-ab74-4a69-94b9-b0053fc41863 · outbound

This paper cites Getzler, The Toda conjecture, In: Symplectic geomet ry and mirror symmetry (Seoul, 2000), World Scientiﬁc, River Edge, NJ, 2001, pp.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Getzler, The Toda conjecture, In: Symplectic geomet ry and mirror symmetry (Seoul, 2000), World Scientiﬁc, River Edge, NJ, 2001, pp

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:21:27.942301Z

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Observation a986c8ea-d2fb-4ffb-aac4-37cb64fe2e4e · outbound

This paper cites Givental, Gromov-Witten invariants and quantizati on of quadratic Hamiltonians, Mosc.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Givental, Gromov-Witten invariants and quantizati on of quadratic Hamiltonians, Mosc

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:21:27.930218Z

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Observation 816c08ec-3647-4505-a2c1-eafdc6f6bb61 · outbound

This paper cites Givental, Semisimple Frobenius structures at highe r genus, Internat.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Givental, Semisimple Frobenius structures at highe r genus, Internat

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:21:27.919352Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 171179d1-6664-4059-8485-ff60ca8e43e8 · outbound

This paper cites Givental, T.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Givental, T

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:21:27.909279Z

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Observation e95fa6a0-6f8e-4521-aacc-1732a5431a22 · outbound

This paper cites Hern´ andez Iglesias, S.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Hern´ andez Iglesias, S

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:21:27.898998Z

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Observation b5b77551-395a-4174-882a-934c27cf68fd · outbound

This paper cites Hertling, Frobenius manifolds and moduli spaces for singularities.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Hertling, Frobenius manifolds and moduli spaces for singularities

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:21:27.887250Z

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Observation dbb55738-7f87-48ad-9ce5-2017a3f01f60 · outbound

This paper cites Hertling, Yu.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Hertling, Yu

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:21:27.874537Z

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Observation 41ec3aa5-fe20-4806-b30d-f74b92c605e1 · outbound

This paper cites Kontsevich, Intersection theory on the moduli space of curves and the matrix Airy function, Comm.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Kontsevich, Intersection theory on the moduli space of curves and the matrix Airy function, Comm

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:21:27.862674Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f5d164b4-7934-4f86-9219-12dd895bdee4 · outbound

This paper cites Kontsevich, Y.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Kontsevich, Y

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:21:27.852521Z

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Observation ef0f0d95-c864-45ed-81db-9ee02d70db6b · outbound

This paper cites Li, S.-Q.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Li, S.-Q

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:21:27.841443Z

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Observation 827c9ab7-60ae-4377-8139-cef5caf8b828 · outbound

This paper cites an unresolved cited work.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:21:27.831016Z

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Observation 6e346e73-50a4-4547-8f81-5fa6934210d9 · outbound

This paper cites Generalized Frobenius Manifolds with Non-flat Unity and Integrable Hierarchies.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Generalized Frobenius Manifolds with Non-flat Unity and Integrable Hierarchies

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-08-12T14:21:27.528522Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b274af2f-6187-488e-a008-006e82a17de9 · outbound

This paper cites The extended Ablowitz-Ladik hierarchy and a generalized Frobenius manifold.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies The extended Ablowitz-Ladik hierarchy and a generalized Frobenius manifold

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-12T14:21:27.347269Z

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Unavailable: canonical work link unavailable.

Observation 7e98883d-c5a9-489b-83bd-c64b8e683bc9 · outbound

This paper cites Linearization of Virasoro symmetries associated with semisimple Frobenius manifolds.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Linearization of Virasoro symmetries associated with semisimple Frobenius manifolds

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-08-12T14:21:27.491042Z

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Observation 3e4a5d11-6067-4f0b-a1c6-1cd73149ffac · outbound

This paper cites an unresolved cited work.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:21:27.820857Z

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Observation 4e01dab5-2d85-40c2-bc46-0bf26a479d86 · outbound

This paper cites an unresolved cited work.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:21:27.809931Z

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Observation 70d0667e-5d86-4c08-a368-ec8d8f3ba8d6 · outbound

This paper cites an unresolved cited work.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:21:27.798001Z

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Observation e33b1b33-d6a0-42c4-a4e8-bc45992a7ed4 · outbound

This paper cites an unresolved cited work.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:21:27.786954Z

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Observation 5349c0c0-5843-4087-94af-1a8f9b99f88e · outbound

This paper cites Manin, F-manifolds with ﬂat structure and Dubrovin ’s duality, Adv.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Manin, F-manifolds with ﬂat structure and Dubrovin ’s duality, Adv

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:21:27.775344Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 94a237de-2242-4e91-b469-84661fc16a3a · outbound

This paper cites On some algebraic examples of Frobenius manifolds.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies On some algebraic examples of Frobenius manifolds

Reference 39

Resolution: verified exact; local_arxiv, observed 2026-08-12T14:21:27.471706Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2a0b1630-cf0c-46eb-931d-84b451ff31e2 · outbound

This paper cites Romano, Frobenius structures on double Hurwitz spac es, Int.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Romano, Frobenius structures on double Hurwitz spac es, Int

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:21:27.762986Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a3e8f2ad-0822-4d47-999d-671717ff1345 · outbound

This paper cites an unresolved cited work.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:21:27.749223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 78855b2d-3076-4db9-aa67-f4372dbbf967 · outbound

This paper cites an unresolved cited work.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:21:27.733621Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 8dc319c3-268a-4fac-bf57-b082ebf4946d · outbound

This paper cites Witten, On the structure of the topological phase of t wo-dimensional gravity, Nucl.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Witten, On the structure of the topological phase of t wo-dimensional gravity, Nucl

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:21:27.716377Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a529bd2a-26dd-4b8f-a1fb-59b50b3ab1ad · outbound

This paper cites Witten, Two-dimensional gravity and intersection t heory on moduli space, Surv.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Witten, Two-dimensional gravity and intersection t heory on moduli space, Surv

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:21:27.700783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c3f8fec4-f6e9-4e17-8f49-41bc09000496 · outbound

This paper cites Yang, Analytic theory of Legendre-type transformat ions for a Frobenius manifold, Comm.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Yang, Analytic theory of Legendre-type transformat ions for a Frobenius manifold, Comm

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:21:27.686332Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 04aba2b7-2e70-4521-a62f-b9240347fff9 · outbound

This paper cites Zhang, On the CP1 topological sigma model and the Toda lattice hierarchy, J.

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies Zhang, On the CP1 topological sigma model and the Toda lattice hierarchy, J

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:21:27.668744Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

Observation 06046dca-3ef6-42ec-a940-2a4d347d38fc · inbound

Universal formulae for correlators of a broad class of models cites this paper.

Universal formulae for correlators of a broad class of models Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies

Reference 79

Resolution: verified exact; arxiv_id, observed 2026-05-11T10:56:06.197846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.