Paper Citation Record · LEDGER

Compatible pairs of Hamiltonian operators of the first and third orders

As of 9 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 0 inbound Pith citation observations for arXiv:2602.14739.

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

pith.paper-citation-record.v1
2602.14739 v1

Coverage vector

measured 53 of 53 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-02T23:09:21.376305Z

measured 53 of 53 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

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Reference resolution

53 of 53 outbound references displayed

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Outbound references

Observation 765318dd-1f6e-4374-b327-9dc27db6d0d8 · outbound

This paper cites Agafonov and E.V.

Compatible pairs of Hamiltonian operators of the first and third orders Agafonov and E.V

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T23:09:14.108405Z

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Observation f58b358f-c9f2-4bca-8829-be11e5059483 · outbound

This paper cites Antonowicz and A.P.

Compatible pairs of Hamiltonian operators of the first and third orders Antonowicz and A.P

Reference 2

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Observation da212930-916c-4e41-9ca0-a6bcc9853579 · outbound

This paper cites Antonowicz and A.P.

Compatible pairs of Hamiltonian operators of the first and third orders Antonowicz and A.P

Reference 3

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Observation 39ea6a5a-1ffd-4457-8cc5-6932f54319fc · outbound

This paper cites Balandin and G.V.

Compatible pairs of Hamiltonian operators of the first and third orders Balandin and G.V

Reference 4

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Observation 6e3b6034-44bf-4a43-8d12-396430f91a16 · outbound

This paper cites an unresolved cited work.

Compatible pairs of Hamiltonian operators of the first and third orders Unresolved cited work

Reference 5

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Observation 6d12c1ca-66b0-4ecf-a65e-23ea45b32eb1 · outbound

This paper cites Applications of Nijenhuis geometry III: Frobenius pencils and compatible non-homogeneous Poisson structures.

Compatible pairs of Hamiltonian operators of the first and third orders Applications of Nijenhuis geometry III: Frobenius pencils and compatible non-homogeneous Poisson structures

Reference 6

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Observation 6f8c7b02-19da-4608-bcff-8306d9ae5b93 · outbound

This paper cites Carlet and M.

Compatible pairs of Hamiltonian operators of the first and third orders Carlet and M

Reference 7

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Observation 742e44ca-cec1-4113-9dc9-e2ed83e9934e · outbound

This paper cites Casati, P.

Compatible pairs of Hamiltonian operators of the first and third orders Casati, P

Reference 8

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Observation 6b55fe03-b96a-4c2d-9d23-7e9812ee5ebd · outbound

This paper cites Three computational approaches to weakly nonlocal Poisson brackets.

Compatible pairs of Hamiltonian operators of the first and third orders Three computational approaches to weakly nonlocal Poisson brackets

Reference 9

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Observation 11206f37-69bc-4836-b417-f23b59b44ffb · outbound

This paper cites Dell’Atti, A.

Compatible pairs of Hamiltonian operators of the first and third orders Dell’Atti, A

Reference 10

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Observation 6d16848c-885d-400c-a345-440f722efa27 · outbound

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Compatible pairs of Hamiltonian operators of the first and third orders Unresolved cited work

Reference 11

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Observation ce1bd4d0-1aae-411d-be66-cc60f500ff0f · outbound

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Compatible pairs of Hamiltonian operators of the first and third orders Unresolved cited work

Reference 12

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Observation 341f9970-2beb-48e7-916a-2d193326bc38 · outbound

This paper cites Normal forms of hierarchies of integrable PDEs, Frobenius manifolds and Gromov - Witten invariants.

Compatible pairs of Hamiltonian operators of the first and third orders Normal forms of hierarchies of integrable PDEs, Frobenius manifolds and Gromov - Witten invariants

Reference 13

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Observation ecadb389-5703-472d-ab00-a9748d511641 · outbound

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Compatible pairs of Hamiltonian operators of the first and third orders Unresolved cited work

Reference 14

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Observation 02010446-dce8-40a9-9825-bbb47b79d9ac · outbound

This paper cites Dubrovin and S.P.

Compatible pairs of Hamiltonian operators of the first and third orders Dubrovin and S.P

Reference 15

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Observation 9b245bac-986d-4994-8e96-12d56d5b5223 · outbound

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Compatible pairs of Hamiltonian operators of the first and third orders Unresolved cited work

Reference 16

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Observation f722846e-db02-452e-9225-71babf7dd993 · outbound

This paper cites Ferapontov.

Compatible pairs of Hamiltonian operators of the first and third orders Ferapontov

Reference 17

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Observation a48a7580-f5b1-400b-a6a2-e2a28179d9a0 · outbound

This paper cites Ferapontov.

Compatible pairs of Hamiltonian operators of the first and third orders Ferapontov

Reference 18

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Observation 6d70494d-b4c0-4089-9e9f-0240d4f1fd17 · outbound

This paper cites Ferapontov, C.A.P.

Compatible pairs of Hamiltonian operators of the first and third orders Ferapontov, C.A.P

Reference 19

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Observation 6a7fef41-3f3c-4d98-b2a5-a08c0ec1fe38 · outbound

This paper cites On a class of spaces of skew-symmetric forms related to Hamiltonian systems of conservation laws.

Compatible pairs of Hamiltonian operators of the first and third orders On a class of spaces of skew-symmetric forms related to Hamiltonian systems of conservation laws

Reference 20

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Observation 7b43e172-bbe3-4ac4-81c2-d1b5c356d36b · outbound

This paper cites Projective-geometric aspects of homogeneous third-order Hamiltonian operators.

Compatible pairs of Hamiltonian operators of the first and third orders Projective-geometric aspects of homogeneous third-order Hamiltonian operators

Reference 21

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Observation 7846f33e-a90f-493e-8f99-959402f62000 · outbound

This paper cites Towards the classification of homogeneous third-order Hamiltonian operators.

Compatible pairs of Hamiltonian operators of the first and third orders Towards the classification of homogeneous third-order Hamiltonian operators

Reference 22

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Observation d36ca2a8-5a92-4440-9df6-90a8e488f574 · outbound

This paper cites Systems of conservation laws with third-order Hamiltonian structures.

Compatible pairs of Hamiltonian operators of the first and third orders Systems of conservation laws with third-order Hamiltonian structures

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-02T23:09:16.922201Z

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Observation 38f70931-fd94-4e05-9dc7-4c651eaebdfe · outbound

This paper cites Igonin, A.

Compatible pairs of Hamiltonian operators of the first and third orders Igonin, A

Reference 24

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Observation faf329cd-ee31-4ce8-a652-7be59ccbc371 · outbound

This paper cites Igonin, A.

Compatible pairs of Hamiltonian operators of the first and third orders Igonin, A

Reference 25

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Observation 52a38e8d-0f3f-46c1-af04-4adf35248db5 · outbound

This paper cites Kalayci and Y.

Compatible pairs of Hamiltonian operators of the first and third orders Kalayci and Y

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-02T23:09:17.333266Z

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Observation 43d24c72-a491-41e1-a021-679259d42c94 · outbound

This paper cites Alternative bi-Hamiltonian structures for WDVV equations of associativity.

Compatible pairs of Hamiltonian operators of the first and third orders Alternative bi-Hamiltonian structures for WDVV equations of associativity

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-02T23:09:17.490708Z

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Observation 2e10b9e6-bf96-4b37-aff5-fb2d96eb607c · outbound

This paper cites Geometry of inhomogeneous Poisson brackets, multicomponent Harry Dym hierarchies and multicomponent Hunter-Saxton equations.

Compatible pairs of Hamiltonian operators of the first and third orders Geometry of inhomogeneous Poisson brackets, multicomponent Harry Dym hierarchies and multicomponent Hunter-Saxton equations

Reference 28

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Observation df31a065-469d-4731-ae8e-b1d20095201e · outbound

This paper cites Kruglikov and V.

Compatible pairs of Hamiltonian operators of the first and third orders Kruglikov and V

Reference 29

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Observation d988c9d9-0697-41ab-9b15-510d54e8724d · outbound

This paper cites Kupershmidt.

Compatible pairs of Hamiltonian operators of the first and third orders Kupershmidt

Reference 30

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Observation d5e899a1-6997-4619-b153-494c6fc26c02 · outbound

This paper cites Deformations of Semisimple Bihamiltonian Structures of Hydrodynamic Type.

Compatible pairs of Hamiltonian operators of the first and third orders Deformations of Semisimple Bihamiltonian Structures of Hydrodynamic Type

Reference 31

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Observation d25c726c-7be5-47de-aa04-49e330979673 · outbound

This paper cites Lorenzoni, S.

Compatible pairs of Hamiltonian operators of the first and third orders Lorenzoni, S

Reference 32

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Observation c08c1819-9939-42a4-a6d1-3601c1ec5f0e · outbound

This paper cites Bi-Hamiltonian structures of KdV type.

Compatible pairs of Hamiltonian operators of the first and third orders Bi-Hamiltonian structures of KdV type

Reference 33

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Observation 05e40752-a8a9-4a84-a541-2c1a2de202c9 · outbound

This paper cites Lorenzoni and R.

Compatible pairs of Hamiltonian operators of the first and third orders Lorenzoni and R

Reference 34

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Observation a61f96e3-7770-4973-81b8-10d4922b28b3 · outbound

This paper cites Lorenzoni and R.

Compatible pairs of Hamiltonian operators of the first and third orders Lorenzoni and R

Reference 35

Resolution: verified exact; doi, observed 2026-08-02T23:13:51.824585Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation af3a0b83-e119-4ac1-8ce9-c349c97fc3c2 · outbound

This paper cites Lorenzoni and R.

Compatible pairs of Hamiltonian operators of the first and third orders Lorenzoni and R

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-02T23:09:18.888132Z

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Observation e01ab11f-5ecd-4e29-b444-31d4ea68ea66 · outbound

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Compatible pairs of Hamiltonian operators of the first and third orders Unresolved cited work

Reference 37

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Observation 222ad869-25e6-490b-b65c-21f7543c211f · outbound

This paper cites Magri and C.

Compatible pairs of Hamiltonian operators of the first and third orders Magri and C

Reference 38

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Observation b2e4649c-71c2-4d32-b076-e6eff4a34abd · outbound

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Compatible pairs of Hamiltonian operators of the first and third orders Unresolved cited work

Reference 39

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Observation 2e7d855d-39db-476b-a107-c9af8db96a3f · outbound

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Compatible pairs of Hamiltonian operators of the first and third orders Unresolved cited work

Reference 40

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Observation 38a7c662-09ec-40be-9ee4-7705f541605b · outbound

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Compatible pairs of Hamiltonian operators of the first and third orders Unresolved cited work

Reference 41

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Observation 5291ec5d-9d53-4d42-a045-ede37fca25a1 · outbound

This paper cites Olver.Applications of Lie Groups to Differential Equations.

Compatible pairs of Hamiltonian operators of the first and third orders Olver.Applications of Lie Groups to Differential Equations

Reference 42

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Observation 59ec0262-24d7-4722-8fdd-9d06535f54e3 · outbound

This paper cites Olver and Y.

Compatible pairs of Hamiltonian operators of the first and third orders Olver and Y

Reference 43

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Observation f72a0396-9ce9-440f-abdb-dcb624c9ce46 · outbound

This paper cites Olver and P.

Compatible pairs of Hamiltonian operators of the first and third orders Olver and P

Reference 44

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Observation 0d6daf1f-3939-4d2d-8e8c-288be1a2d494 · outbound

This paper cites Opanasenko and R.

Compatible pairs of Hamiltonian operators of the first and third orders Opanasenko and R

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-02T23:09:20.139667Z

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Observation 5a2fc20b-5962-48b3-a0b8-9043492ad647 · outbound

This paper cites Opanasenko and R.

Compatible pairs of Hamiltonian operators of the first and third orders Opanasenko and R

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-02T23:09:20.245723Z

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Observation a74e708b-8364-4978-8fa1-4ff472b4baee · outbound

This paper cites Pavlov, P.

Compatible pairs of Hamiltonian operators of the first and third orders Pavlov, P

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-02T23:09:20.398440Z

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Observation 77b3faf5-8371-4d3f-9919-ae3fb0ad8542 · outbound

This paper cites On the bi-Hamiltonian Geometry of WDVV Equations.

Compatible pairs of Hamiltonian operators of the first and third orders On the bi-Hamiltonian Geometry of WDVV Equations

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-02T23:09:20.606841Z

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Observation b75664f6-6191-41fb-99a0-60292210f2e4 · outbound

This paper cites Potemin.Some aspects of differential geometry and algebraic geometry in the theory of solitons.

Compatible pairs of Hamiltonian operators of the first and third orders Potemin.Some aspects of differential geometry and algebraic geometry in the theory of solitons

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-02T23:09:20.777093Z

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Observation b386bef3-68fc-4973-bece-9abf8d072326 · outbound

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Compatible pairs of Hamiltonian operators of the first and third orders Unresolved cited work

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-02T23:09:20.917375Z

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Observation fe155b64-174a-4fca-baae-f60be9009686 · outbound

This paper cites WDVV equations and invariant bi-Hamiltonian formalism.

Compatible pairs of Hamiltonian operators of the first and third orders WDVV equations and invariant bi-Hamiltonian formalism

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-02T23:09:21.068533Z

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Observation 667e905b-32a1-411b-841d-61089311cda2 · outbound

This paper cites Vaˇ s ´ ıˇ cek and R.

Compatible pairs of Hamiltonian operators of the first and third orders Vaˇ s ´ ıˇ cek and R

Reference 52

Resolution: verified exact; doi, observed 2026-08-02T23:13:51.701100Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 46e0236e-a92f-44ae-8a25-cfcd7bb4c5cf · outbound

This paper cites Homogeneous Hamiltonian operators and the theory of coverings.

Compatible pairs of Hamiltonian operators of the first and third orders Homogeneous Hamiltonian operators and the theory of coverings

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-02T23:09:21.376305Z

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