Paper Citation Record · LEDGER

Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold

As of 1 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2606.25846.

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

pith.paper-citation-record.v1
2606.25846 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-25T19:45:46.824106Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-01T06:32:01.292127+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

37 of 37 outbound references displayed

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verified fuzzy0
unresolved32
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External citation measurements

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Outbound references

Observation ee1b11a4-dbdc-49a6-8a93-67e04bd4ad3b · outbound

This paper cites Ablowitz, J.F.

Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold Ablowitz, J.F

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-25T19:45:46.824106Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0e8a211f-97a4-4376-a483-48279981d0a9 · outbound

This paper cites Ablowitz, J.F.

Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold Ablowitz, J.F

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-25T19:45:46.824106Z

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Unavailable: canonical work link unavailable.

Observation 7d5dcd21-d05f-4817-ae23-6d5f663b8e98 · outbound

This paper cites Brini, The local Gromov–Witten theory ofCP 1 and integrable hierarchies, Com- mun.

Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold Brini, The local Gromov–Witten theory ofCP 1 and integrable hierarchies, Com- mun

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-25T19:45:46.824106Z

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Observation 07a54ebf-2283-4d6b-93a8-0b76f8ccbc03 · outbound

This paper cites Brini, G.

Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold Brini, G

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-25T19:45:46.824106Z

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Observation f0526cfd-087d-463e-98d9-226effe63436 · outbound

This paper cites Brini, G.

Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold Brini, G

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-25T19:45:46.824106Z

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Observation ed97b82c-ed9d-4182-bff3-521368dee048 · outbound

This paper cites Carlet, H.

Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold Carlet, H

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-25T19:45:46.824106Z

Source-reported events for the cited work

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Observation 0472da65-5595-461a-8ce2-d0d26ace0d42 · outbound

This paper cites an unresolved cited work.

Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-25T19:45:46.824106Z

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Observation 1e52f8e0-b11d-441f-a808-fd987dcf16b9 · outbound

This paper cites Dijkgraaf, H.

Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold Dijkgraaf, H

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-25T19:45:46.824106Z

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Observation a806e96f-efd2-4dc6-967d-f6d73e12fd80 · outbound

This paper cites Dubrovin, Integrable systems and classification of 2-dimensional topological field theories, Progr.

Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold Dubrovin, Integrable systems and classification of 2-dimensional topological field theories, Progr

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-25T19:45:46.824106Z

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Observation 820c258d-ebfc-4732-aa84-55549aa294c9 · outbound

This paper cites Dubrovin, Geometry of 2D topological field theories, In: Integrable systems and quantum groups, Springer Berlin (1996) 120–348.

Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold Dubrovin, Geometry of 2D topological field theories, In: Integrable systems and quantum groups, Springer Berlin (1996) 120–348

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-25T19:45:46.824106Z

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Observation 6bf0fb13-b8c6-4bce-848c-5265f88c7eeb · outbound

This paper cites Dubrovin, Y.

Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold Dubrovin, Y

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-07-04T20:40:08.670487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.

Observation db0bbc2a-7a9f-49f9-8683-e271d74fdfe1 · outbound

This paper cites Dubrovin, S.-Q.

Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold Dubrovin, S.-Q

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-25T19:45:46.824106Z

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Observation 555fe72e-6dfe-47df-9c61-25f505459add · outbound

This paper cites Falqui, P.

Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold Falqui, P

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-25T19:45:46.824106Z

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Observation 761a943f-c3ed-4645-9019-a9cc4a93998f · outbound

This paper cites Ferapontov, Compatible Poisson brackets of hydrodynamic type, J.

Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold Ferapontov, Compatible Poisson brackets of hydrodynamic type, J

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-25T19:45:46.824106Z

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Observation 7c1fc30c-b5e4-4e41-b23f-c9f897ed0775 · outbound

This paper cites Gibbons, B.A.

Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold Gibbons, B.A

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-25T19:45:46.824106Z

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Observation ed9b716b-2f05-407f-b623-30275ab5eda2 · outbound

This paper cites an unresolved cited work.

Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-25T19:45:46.824106Z

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Observation c2e92e1d-809e-45fc-b174-9269864d3172 · outbound

This paper cites Kersten, I.

Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold Kersten, I

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-25T19:45:46.824106Z

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Observation e13ca284-9e9f-48ed-8253-5fa66d343e36 · outbound

This paper cites Li, S.-Q.

Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold Li, S.-Q

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-25T19:45:46.824106Z

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Observation 075bafa9-9d52-4d8c-9566-8529fff9da4a · outbound

This paper cites an unresolved cited work.

Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-25T19:45:46.824106Z

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Observation 52ccd0b8-91aa-478a-8c86-ffbcf667dbff · outbound

This paper cites an unresolved cited work.

Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-25T19:45:46.824106Z

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Observation 4551b0b5-937b-4677-abce-4caa2265f5b4 · outbound

This paper cites an unresolved cited work.

Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-25T19:45:46.824106Z

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Observation 53c02cbc-2684-4fc1-887f-b0a20685cc7b · outbound

This paper cites Liu, Lecture notes on bihamiltonian structures and their central invariants, B-Model Gromov–Witten Theory, Cham: Springer International Publishing (2019) 573–625.

Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold Liu, Lecture notes on bihamiltonian structures and their central invariants, B-Model Gromov–Witten Theory, Cham: Springer International Publishing (2019) 573–625

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-25T19:45:46.824106Z

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Observation 60da4d42-c06d-40d0-a82b-fac5efabea9e · outbound

This paper cites an unresolved cited work.

Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-25T19:45:46.824106Z

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Observation 9ce1104e-f40b-489d-810d-e68bceb6878a · outbound

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

Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold The extended Ablowitz-Ladik hierarchy and a generalized Frobenius manifold

Reference 24

Resolution: verified exact; arxiv_id, observed 2026-07-04T20:40:08.670811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.

Observation f209d0dc-c718-47c7-b893-8d2087449b72 · outbound

This paper cites an unresolved cited work.

Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-25T19:45:46.824106Z

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Observation 84819fb3-0fae-45e4-af49-7813003cc8e8 · outbound

This paper cites an unresolved cited work.

Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-25T19:45:46.824106Z

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Unavailable: canonical work link unavailable.

Observation 6b2b3e2f-d9e1-4d9c-8e3e-55e1b148951c · outbound

This paper cites Oevel, B.

Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold Oevel, B

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-25T19:45:46.824106Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6d2a9011-8d3d-413b-a2af-fad48bff09a4 · outbound

This paper cites an unresolved cited work.

Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold Unresolved cited work

Reference 28

Resolution: verified exact; arxiv_id, observed 2026-07-04T20:40:08.658039Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.

Observation 49d01e4a-6b3e-4c46-b0f0-616dc324da1a · outbound

This paper cites Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy.

Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-07-04T20:40:08.664010Z

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No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.

Observation b705ecb2-af62-4dce-922d-0916364eea91 · outbound

This paper cites Strachan, R.

Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold Strachan, R

Reference 30

Resolution: unresolved; no resolver link, observed 2026-06-25T19:45:46.824106Z

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Unavailable: canonical work link unavailable.

Observation 21290009-63f6-4e96-8d44-6db410a498f3 · outbound

This paper cites Suris, The problem of integrable discretization: Hamiltonian approach, in: Progress in Mathematics, Vol.

Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold Suris, The problem of integrable discretization: Hamiltonian approach, in: Progress in Mathematics, Vol

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-25T19:45:46.824106Z

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Unavailable: canonical work link unavailable.

Observation b2c4e54b-976c-449d-9f0e-6a789f9e4489 · outbound

This paper cites Takasaki, Generalized Ablowitz–Ladik hierarchy in topological string theory, J.

Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold Takasaki, Generalized Ablowitz–Ladik hierarchy in topological string theory, J

Reference 32

Resolution: unresolved; no resolver link, observed 2026-06-25T19:45:46.824106Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dd0355f4-dfbd-4610-9b63-b394922b763c · outbound

This paper cites Vekslerchik, The 2D Toda lattice and the Ablowitz–Ladik hierarchy, Inverse Problems 11 (1995) 463–479.

Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold Vekslerchik, The 2D Toda lattice and the Ablowitz–Ladik hierarchy, Inverse Problems 11 (1995) 463–479

Reference 33

Resolution: unresolved; no resolver link, observed 2026-06-25T19:45:46.824106Z

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Unavailable: canonical work link unavailable.

Observation 48a9946a-339b-40a6-806f-56014526feb5 · outbound

This paper cites Vekslerchik, ‘Universality’ of the Ablowitz–Ladik hierarchy, eprint solv- int/9807005 (1998).

Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold Vekslerchik, ‘Universality’ of the Ablowitz–Ladik hierarchy, eprint solv- int/9807005 (1998)

Reference 34

Resolution: verified exact; arxiv_id, observed 2026-07-04T20:40:08.667830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.

Observation 5a79b9ef-363e-490e-9a2b-2c3137df3109 · outbound

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

Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold Witten, On the structure of the topological phase of two-dimensional gravity, Nucl

Reference 35

Resolution: unresolved; no resolver link, observed 2026-06-25T19:45:46.824106Z

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Unavailable: canonical work link unavailable.

Observation 549d3a4c-5870-4e83-aa67-a47365f3a89e · outbound

This paper cites Zhang, S.

Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold Zhang, S

Reference 36

Resolution: unresolved; no resolver link, observed 2026-06-25T19:45:46.824106Z

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Observation 4b37a04d-150a-48f7-bc66-73fee02973db · outbound

This paper cites an unresolved cited work.

Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-06-25T19:45:46.824106Z

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Pith citing papers

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