Paper Citation Record · LEDGER

Solvability of the Zakharov-Shabat systems with meromorphic potentials by quadrature

As of 15 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 1 inbound Pith citation observation for arXiv:2506.07246.

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

pith.paper-citation-record.v1
2506.07246 v2

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:47:37.106484Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:56:11.264679Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T05:56:11.286073Z

Reference resolution

28 of 28 outbound references displayed

verified exact1
verified fuzzy25
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 181f91ce-aff5-4733-83eb-99a462312c43 · outbound

This paper cites Ablowitz, Nonlinear Dispersive Waves: Asymptotic Analysis and Solit ons, Cambridge University Press, Cambridge, 2011.

Solvability of the Zakharov-Shabat systems with meromorphic potentials by quadrature Ablowitz, Nonlinear Dispersive Waves: Asymptotic Analysis and Solit ons, Cambridge University Press, Cambridge, 2011

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:47:37.501751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2ced7a69-70ba-483f-b996-315c781f6a19 · outbound

This paper cites Ablowitz and A.S.

Solvability of the Zakharov-Shabat systems with meromorphic potentials by quadrature Ablowitz and A.S

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:47:37.489332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4bf2e649-ac68-4466-9c2d-c283cc66deba · outbound

This paper cites Ablowitz, B.

Solvability of the Zakharov-Shabat systems with meromorphic potentials by quadrature Ablowitz, B

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:47:37.475557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b4c39795-5703-4cfb-a857-935956db790a · outbound

This paper cites Ablowitz and H.

Solvability of the Zakharov-Shabat systems with meromorphic potentials by quadrature Ablowitz and H

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:47:37.461194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 20880083-3063-4204-8dde-301056cd855b · outbound

This paper cites Balser, Formal Power Series and Linear Systems of Meromorphic Ordin ary Diﬀerential Equations Springer, New York, 2000.

Solvability of the Zakharov-Shabat systems with meromorphic potentials by quadrature Balser, Formal Power Series and Linear Systems of Meromorphic Ordin ary Diﬀerential Equations Springer, New York, 2000

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:47:37.449079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d1cb9135-f7c4-4160-b96d-ec9a5c5e3e95 · outbound

This paper cites Beutler, Positon solutions of the sine-Gordon equati on, J.

Solvability of the Zakharov-Shabat systems with meromorphic potentials by quadrature Beutler, Positon solutions of the sine-Gordon equati on, J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:47:37.435339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 28a5a1a0-07f4-4fcd-90b4-e3b15e0fc50d · outbound

This paper cites Clarkson, Special polynomials associated with rat ional solutions of the defocusing non- linear Schr¨ odinger equation and the fourth Painlev´ e equation, European J.

Solvability of the Zakharov-Shabat systems with meromorphic potentials by quadrature Clarkson, Special polynomials associated with rat ional solutions of the defocusing non- linear Schr¨ odinger equation and the fourth Painlev´ e equation, European J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:47:37.420958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation de74960e-83fc-4f1b-b521-ef64afa0abf5 · outbound

This paper cites Clarkson, Special polynomials associated with rat ional solutions of the Painlev´ e equa- tions and applications to soliton equations, Comput.

Solvability of the Zakharov-Shabat systems with meromorphic potentials by quadrature Clarkson, Special polynomials associated with rat ional solutions of the Painlev´ e equa- tions and applications to soliton equations, Comput

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:47:37.407843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b96163a9-8246-4d41-aa94-95ed95f432dd · outbound

This paper cites Coddington and N.

Solvability of the Zakharov-Shabat systems with meromorphic potentials by quadrature Coddington and N

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T05:47:35.449436Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 99c357f9-d4a2-457f-ae97-0ad86d35d674 · outbound

This paper cites Crespo and Z.

Solvability of the Zakharov-Shabat systems with meromorphic potentials by quadrature Crespo and Z

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:47:37.385089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 46261079-fa80-4cb4-acd8-76e1fbd0ed78 · outbound

This paper cites Hane, Crum transformation and rational solutio ns of the non-focusing nonlinear Schr¨ odinger equation,J.

Solvability of the Zakharov-Shabat systems with meromorphic potentials by quadrature Hane, Crum transformation and rational solutio ns of the non-focusing nonlinear Schr¨ odinger equation,J

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:47:37.372586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 533b9dd0-5b9c-4889-b4a7-0e4167b4558b · outbound

This paper cites Jaworski and J.

Solvability of the Zakharov-Shabat systems with meromorphic potentials by quadrature Jaworski and J

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:47:37.359792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2115d359-0726-48b0-885a-87c3655a7699 · outbound

This paper cites Kovacic, An algorithm for solving second order lin ear homogeneous diﬀerential equations, J.

Solvability of the Zakharov-Shabat systems with meromorphic potentials by quadrature Kovacic, An algorithm for solving second order lin ear homogeneous diﬀerential equations, J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:47:37.346456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 9d6f6ee8-7631-44cc-9187-3849c68e046c · outbound

This paper cites Loday-Richaud, Stokes phenomenon, multisummabili ty and diﬀerential Galois groups, Ann.

Solvability of the Zakharov-Shabat systems with meromorphic potentials by quadrature Loday-Richaud, Stokes phenomenon, multisummabili ty and diﬀerential Galois groups, Ann

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:47:37.333510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e58dafe3-2681-42f5-859c-8e91e6546586 · outbound

This paper cites Mitschi anhd D.

Solvability of the Zakharov-Shabat systems with meromorphic potentials by quadrature Mitschi anhd D

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:47:37.319828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1da8b90b-4486-4bc4-83d4-9eb72a92a3a8 · outbound

This paper cites Morales-Ruiz, Diﬀerential Galois Theory and Non-Integrability of Hamilt onian Systems Birkh¨ auser, Basel,1999.

Solvability of the Zakharov-Shabat systems with meromorphic potentials by quadrature Morales-Ruiz, Diﬀerential Galois Theory and Non-Integrability of Hamilt onian Systems Birkh¨ auser, Basel,1999

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:47:37.307272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4604af38-119a-4df6-aa24-01c0e62e33b9 · outbound

This paper cites Nakamura and R.

Solvability of the Zakharov-Shabat systems with meromorphic potentials by quadrature Nakamura and R

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:47:37.294416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d46f0e5a-c7f9-4344-964e-5ff0dfa03111 · outbound

This paper cites Ohmiya, The inverse scattering problem for the Dirac operator and the modiﬁed Korteweg- de Vries equation, Osaka J.

Solvability of the Zakharov-Shabat systems with meromorphic potentials by quadrature Ohmiya, The inverse scattering problem for the Dirac operator and the modiﬁed Korteweg- de Vries equation, Osaka J

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:47:37.281840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 103b998e-cf7e-4432-bc99-f5befb8ba71b · outbound

This paper cites van der Put and M.

Solvability of the Zakharov-Shabat systems with meromorphic potentials by quadrature van der Put and M

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:47:37.269104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a7c494fa-5913-497f-977c-283424cf1441 · outbound

This paper cites Ramis and J.

Solvability of the Zakharov-Shabat systems with meromorphic potentials by quadrature Ramis and J

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:47:37.255679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 844bb04b-5e3f-43b7-b150-d8bb6fe37e7d · outbound

This paper cites Rasinariu, U.

Solvability of the Zakharov-Shabat systems with meromorphic potentials by quadrature Rasinariu, U

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:47:37.243410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation eccd3c5f-2337-4ebe-b4e0-f335d2af37ca · outbound

This paper cites Singer, Introduction to the Galois theory of linear d iﬀerential equations, in Algebraic Theory of Diﬀerential Equations , M.A.H.

Solvability of the Zakharov-Shabat systems with meromorphic potentials by quadrature Singer, Introduction to the Galois theory of linear d iﬀerential equations, in Algebraic Theory of Diﬀerential Equations , M.A.H

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:47:37.230781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5b2f2139-8e60-4d50-b9b9-d207c02521c7 · outbound

This paper cites Stahlhofen, Positons of the modiﬁed Korteweg de Vr ies equation, Ann.

Solvability of the Zakharov-Shabat systems with meromorphic potentials by quadrature Stahlhofen, Positons of the modiﬁed Korteweg de Vr ies equation, Ann

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:47:37.215638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a36b140a-3038-4b52-b34c-12b2aa30eceb · outbound

This paper cites W u and T.

Solvability of the Zakharov-Shabat systems with meromorphic potentials by quadrature W u and T

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:47:37.201954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e7047b43-6cc8-4a44-9770-0b753c8b6e59 · outbound

This paper cites an unresolved cited work.

Solvability of the Zakharov-Shabat systems with meromorphic potentials by quadrature Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:47:37.186415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f320d726-739e-4bc1-9f12-75e68fb552a8 · outbound

This paper cites Yagasaki, Integrability of the Zakharov-Shabat sys tems by quadrature, Comm.

Solvability of the Zakharov-Shabat systems with meromorphic potentials by quadrature Yagasaki, Integrability of the Zakharov-Shabat sys tems by quadrature, Comm

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:47:37.173056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4ea3da99-00d3-42fa-bab3-8c7cfca02dd0 · outbound

This paper cites Solvability of the Korteweg-de Vries equation under meromorphic initial conditions by quadrature.

Solvability of the Zakharov-Shabat systems with meromorphic potentials by quadrature Solvability of the Korteweg-de Vries equation under meromorphic initial conditions by quadrature

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-08-07T05:47:37.146213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b859b985-eec8-4f4c-ac7f-e2bcee1e7f67 · outbound

This paper cites Zakharov and A.B.

Solvability of the Zakharov-Shabat systems with meromorphic potentials by quadrature Zakharov and A.B

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:47:37.159796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

Observation 0f2d8248-f4df-4b42-bd62-741229c9d543 · inbound

Solvability of the Korteweg-de Vries equation under meromorphic initial conditions by quadrature cites this paper.

Solvability of the Korteweg-de Vries equation under meromorphic initial conditions by quadrature Solvability of the Zakharov-Shabat systems with meromorphic potentials by quadrature

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-07T05:56:11.290976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.