Paper Citation Record · LEDGER

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions

As of 13 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 0 inbound Pith citation observations for arXiv:2501.16493.

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

pith.paper-citation-record.v1
2501.16493 v2

Coverage vector

measured 48 of 48 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T12:59:08.211472Z

measured 48 of 48 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

48 of 48 outbound references displayed

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verified fuzzy11
unresolved29
parse uncertain0
malformed identifier1
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External citation measurements

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Outbound references

Observation 63ad64b3-9cec-42f3-a672-4313cd996107 · outbound

This paper cites Boldrighini C, Dobrushin R L and Sukhov Yu M 1983 One-Dimension al Hard Rod Caricature of Hydrodynamics, Journal of Statistical Physics 31 no.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Boldrighini C, Dobrushin R L and Sukhov Yu M 1983 One-Dimension al Hard Rod Caricature of Hydrodynamics, Journal of Statistical Physics 31 no

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:59:09.238229Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d97770f2-25e0-48ab-a235-2f8abd3a14c9 · outbound

This paper cites Hamiltonian formulation and aspects of integrability of generalised hydrodynamics.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Hamiltonian formulation and aspects of integrability of generalised hydrodynamics

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-10T12:59:08.826985Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d31ce579-434c-4055-8478-eb216133f88a · outbound

This paper cites an unresolved cited work.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-10T12:59:09.227520Z

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Observation f7364f4e-810d-4d1c-8925-e0fed3ecfc71 · outbound

This paper cites an unresolved cited work.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-10T12:59:09.217790Z

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Observation 55cbac78-3fc2-452e-8dd5-ff7357422d57 · outbound

This paper cites an unresolved cited work.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-10T12:59:09.208059Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b3f1b051-7550-4598-bff5-6937f4dcaf0e · outbound

This paper cites an unresolved cited work.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-10T12:59:09.197289Z

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Observation ddb63ae1-5345-424b-992c-6d62a1c1c061 · outbound

This paper cites an unresolved cited work.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-10T12:59:09.187483Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f9c426fa-bdb3-4f7c-95de-f8f1862d4ddb · outbound

This paper cites an unresolved cited work.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-10T12:59:09.177746Z

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Observation 52499f08-3d07-4bec-87bd-8245c963bf61 · outbound

This paper cites an unresolved cited work.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-10T12:59:09.167133Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a56968e2-0cdc-4d9f-b10f-894f3fa99cd9 · outbound

This paper cites an unresolved cited work.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-10T12:59:09.155678Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0f38a81f-b506-4557-8b16-63493e50a150 · outbound

This paper cites Nonlinear Sci.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Nonlinear Sci

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:59:09.144785Z

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Observation a54b4b03-7bee-4e72-8411-a4ade17d122e · outbound

This paper cites an unresolved cited work.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-10T12:59:09.133901Z

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Observation e61ff509-f65e-4bfe-80db-4c63a71797d8 · outbound

This paper cites an unresolved cited work.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-10T12:59:09.122029Z

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Observation 87ea3720-a1c3-4d03-98f1-e342ea32b4ca · outbound

This paper cites an unresolved cited work.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-10T12:59:09.108770Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e4da4d47-236a-46a0-ba36-432167460a56 · outbound

This paper cites an unresolved cited work.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-10T12:59:09.095003Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d74d9f7d-d7d5-47c3-9ada-d5dd38f3ae08 · outbound

This paper cites Nonlinear Sci.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Nonlinear Sci

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:59:09.081224Z

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Observation 6a574763-eea3-48cc-bd0e-968a474148be · outbound

This paper cites an unresolved cited work.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-10T12:59:09.071031Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 31db1dad-f3ab-4a46-ab9e-693c8d224948 · outbound

This paper cites an unresolved cited work.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-10T12:59:09.060507Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ed0a0bff-5e50-4a6a-bfe5-0e384a39ddb4 · outbound

This paper cites an unresolved cited work.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-10T12:59:09.049324Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9679875e-e500-4e63-90ad-4c71fe64b01a · outbound

This paper cites an unresolved cited work.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Unresolved cited work

Reference 20

Resolution: verified exact; doi, observed 2026-08-10T12:59:08.272083Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation db8d8601-f014-4017-bf1b-24b83aeafab2 · outbound

This paper cites an unresolved cited work.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-10T12:59:09.038101Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4f32e286-1cb4-4dce-9a6c-39349784ca30 · outbound

This paper cites an unresolved cited work.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-10T12:59:09.027278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8fe6543b-eee5-4e0c-ab70-1ac19a7657b4 · outbound

This paper cites Gibbons J and Tsarev S P 1996 Reductions of the Benney equa tions, Phys.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Gibbons J and Tsarev S P 1996 Reductions of the Benney equa tions, Phys

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:59:09.016607Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 74b61935-63a3-40c7-8708-ff1617729274 · outbound

This paper cites an unresolved cited work.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-10T12:59:09.005528Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0af16331-e00e-43f3-8e35-c10d91131fe7 · outbound

This paper cites an unresolved cited work.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-10T12:59:08.994937Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 563aa8d5-84c7-4d84-a22c-ac9f81d227ee · outbound

This paper cites an unresolved cited work.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-10T12:59:08.984818Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation de77d754-7f78-453b-a8f3-4a858c6e2935 · outbound

This paper cites di Mat., 73, 233-245, DOI: https://doi.org/10.1007/s11587-023-00792-y.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions di Mat., 73, 233-245, DOI: https://doi.org/10.1007/s11587-023-00792-y

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-10T12:59:08.136937Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ba59dedc-2013-4d27-8547-bfbc887d4dc6 · outbound

This paper cites Nonlinear Sci.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Nonlinear Sci

Reference 28

Resolution: verified exact; arxiv_id_nonexistent, observed 2026-08-10T12:59:08.808325Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 03cf3907-442b-4ccd-8652-b64b21a0a648 · outbound

This paper cites an unresolved cited work.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-10T12:59:08.975719Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c70ddb5f-6b55-46ba-800e-8460fc1b770c · outbound

This paper cites Surveys 45, no.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Surveys 45, no

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:59:08.965868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 82dccec6-5d71-46e4-aa45-755e34c31d94 · outbound

This paper cites Steklov Inst.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Steklov Inst

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:59:08.956148Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation dbda468a-f2b0-4b3e-9ebf-5993bf661043 · outbound

This paper cites an unresolved cited work.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-10T12:59:08.945001Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0344a0c5-8a4a-47f5-8b12-ace9120f7020 · outbound

This paper cites and Math.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions and Math

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:59:08.934979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 68f19b28-a291-4f07-8471-9a3b6b534b6d · outbound

This paper cites and Math.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions and Math

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:59:08.924023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 153815bd-c690-44f9-b8d8-2ad6a5f471fa · outbound

This paper cites an unresolved cited work.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Unresolved cited work

Reference 35

Resolution: verified exact; arxiv_id_nonexistent, observed 2026-08-10T12:59:08.614849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9bb34e66-46c9-49e3-9f90-72039b65710c · outbound

This paper cites an unresolved cited work.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-10T12:59:08.914172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b235b6dc-8264-4673-a946-568345e95e9d · outbound

This paper cites Quasilinear differential constraints for parabolic systems of Jordan-block type.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Quasilinear differential constraints for parabolic systems of Jordan-block type

Reference 37

Resolution: verified exact; local_arxiv, observed 2026-08-10T12:59:08.319475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9aaa95a2-bde4-49be-8bf0-a05e9121532e · outbound

This paper cites Hydrodynamic scales of integrable many-particle systems.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Hydrodynamic scales of integrable many-particle systems

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-10T12:59:08.172197Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 32ec3f69-e563-4ad7-8392-30d4a8c64b67 · outbound

This paper cites an unresolved cited work.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-10T12:59:08.902985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8e987889-14a1-48bd-b1cb-03459d3efaf2 · outbound

This paper cites The generalized hodograph method, Math.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions The generalized hodograph method, Math

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:59:08.892299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 77e76163-614c-4b62-8e31-eb6935e8f190 · outbound

This paper cites Vergallo, Quasilinear systems of ﬁrst order PDEs with nonloca l Hamiltonian structures, Math- ematical Physics, Analysis and Geometry, 25(4), 2022.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Vergallo, Quasilinear systems of ﬁrst order PDEs with nonloca l Hamiltonian structures, Math- ematical Physics, Analysis and Geometry, 25(4), 2022

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:59:08.880363Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5c48f7b2-6d85-4167-88da-784e77ee5097 · outbound

This paper cites Unione Mat.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Unione Mat

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:59:08.869485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ea514582-6c3c-44b7-9a6b-a93108867ef7 · outbound

This paper cites Hamiltonian aspects of the kinetic equation for soliton gas.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Hamiltonian aspects of the kinetic equation for soliton gas

Reference 43

Resolution: malformed identifier; local_arxiv, observed 2026-08-10T12:59:08.290396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7ae6e40c-75a6-4e3a-9790-f9d08e5bca33 · outbound

This paper cites an unresolved cited work.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Unresolved cited work

Reference 44

Resolution: verified exact; doi, observed 2026-08-10T12:59:08.253780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9dbb0c3d-40f6-4234-87d3-3ecca5e2e3c0 · outbound

This paper cites an unresolved cited work.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Unresolved cited work

Reference 45

Resolution: unresolved; raw_fallback, observed 2026-08-10T12:59:08.858559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f8b3780d-50a3-4c48-9e4e-1aae3e981aec · outbound

This paper cites an unresolved cited work.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Unresolved cited work

Reference 46

Resolution: verified exact; doi, observed 2026-08-10T12:59:08.242718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 606d18c5-926a-4ca8-a92c-ddc7cfe347ee · outbound

This paper cites an unresolved cited work.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Unresolved cited work

Reference 47

Resolution: unresolved; raw_fallback, observed 2026-08-10T12:59:08.847873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3157bd92-a792-4ecf-a1d5-c678b1265f13 · outbound

This paper cites an unresolved cited work.

Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions Unresolved cited work

Reference 48

Resolution: unresolved; raw_fallback, observed 2026-08-10T12:59:08.837636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

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