Paper Citation Record · LEDGER

Solvability of the Korteweg-de Vries equation under meromorphic initial conditions by quadrature

As of 8 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 1 inbound Pith citation observation for arXiv:2506.08046.

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

pith.paper-citation-record.v1
2506.08046 v2

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

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

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:47:37.102458Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T05:47:37.139846Z

Reference resolution

30 of 30 outbound references displayed

verified exact1
verified fuzzy18
unresolved11
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External citation measurements

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Outbound references

Observation 72852507-68bb-4b6f-b7a6-cdb22964d0bb · outbound

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

Solvability of the Korteweg-de Vries equation under meromorphic initial conditions by quadrature Ablowitz, Nonlinear Dispersive Waves: Asymptotic Analysis and Solit ons, Cambridge University Press, Cambridge, 2011

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T05:56:11.192964Z

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Unavailable: canonical work link unavailable.

Observation a204dcd3-963d-4779-8208-88ea39b6330e · outbound

This paper cites Ablowitz and A.S.

Solvability of the Korteweg-de Vries equation under meromorphic initial conditions by quadrature Ablowitz and A.S

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-07T05:56:11.195991Z

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Observation b51fcdd6-61ba-4dc4-a619-b7eeb6c6a3c5 · outbound

This paper cites Acosta-Hum´ anez, J.J.

Solvability of the Korteweg-de Vries equation under meromorphic initial conditions by quadrature Acosta-Hum´ anez, J.J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:56:11.495088Z

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Observation 9e3208f5-1718-48f6-8ac7-77362f6d49a9 · outbound

This paper cites Adler and J.

Solvability of the Korteweg-de Vries equation under meromorphic initial conditions by quadrature Adler and J

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:56:11.485864Z

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Observation b1fb4196-ee22-4408-9fae-20dadf91f29d · outbound

This paper cites Airault, H.P.

Solvability of the Korteweg-de Vries equation under meromorphic initial conditions by quadrature Airault, H.P

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:56:11.477788Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b0575215-7faf-43b6-bf21-631c01f7f10f · outbound

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

Solvability of the Korteweg-de Vries equation under meromorphic initial conditions by quadrature Balser, Formal Power Series and Linear Systems of Meromorphic Ordin ary Diﬀerential Equations Springer, New York, 2000

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T05:56:11.205519Z

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Observation 8324a503-9e6a-4783-a6fc-05da1dfcf93f · outbound

This paper cites Bl´ azquez-Sanz and K.

Solvability of the Korteweg-de Vries equation under meromorphic initial conditions by quadrature Bl´ azquez-Sanz and K

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:56:11.465714Z

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Observation 1cbc2be6-5ef4-48d3-876a-f066e5e94f63 · 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 Korteweg-de Vries equation under meromorphic initial conditions 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: unresolved; no resolver link, observed 2026-08-07T05:56:11.210192Z

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Observation ea2385dc-3f99-44da-b91d-eb7523c3dc1e · outbound

This paper cites Coddington and N.

Solvability of the Korteweg-de Vries equation under meromorphic initial conditions by quadrature Coddington and N

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T05:56:11.212432Z

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Observation 1707c986-e538-442a-a4f1-2eac5bee64b7 · outbound

This paper cites Crespo and Z.

Solvability of the Korteweg-de Vries equation under meromorphic initial conditions by quadrature Crespo and Z

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-07T05:56:11.214823Z

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Observation 2ab29316-ecac-4490-a85e-29bed33a526a · outbound

This paper cites Jim´ enez, J.J.

Solvability of the Korteweg-de Vries equation under meromorphic initial conditions by quadrature Jim´ enez, J.J

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:56:11.442558Z

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Observation 696fa4e5-fab4-4502-9b46-28f712eabd50 · outbound

This paper cites Kaplansky, Introduction to Diﬀerential Algebra, 2n d ed., Hermann, Paris, 1976.

Solvability of the Korteweg-de Vries equation under meromorphic initial conditions by quadrature Kaplansky, Introduction to Diﬀerential Algebra, 2n d ed., Hermann, Paris, 1976

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:56:11.434554Z

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Observation 2a3484c3-1abe-4606-a522-c9559c1ae74d · outbound

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

Solvability of the Korteweg-de Vries equation under meromorphic initial conditions by quadrature Kovacic, An algorithm for solving second order lin ear homogeneous diﬀerential equations, J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:56:11.425679Z

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Observation 4658976f-6f02-415c-b22a-f183a46d1d1a · outbound

This paper cites Kurasov and K.

Solvability of the Korteweg-de Vries equation under meromorphic initial conditions by quadrature Kurasov and K

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:56:11.416802Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a4d12010-b024-4ecd-8c97-e3a1b6dfbbb4 · outbound

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

Solvability of the Korteweg-de Vries equation under meromorphic initial conditions by quadrature Loday-Richaud, Stokes phenomenon, multisummabili ty and diﬀerential Galois groups, Ann

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T05:56:11.226204Z

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Observation 8cb513b6-ebff-4c9a-8bf8-0c6921fbe3f9 · outbound

This paper cites Loday-Richaud, Rank reduction, normal forms and Sto kes matrices, Expo.

Solvability of the Korteweg-de Vries equation under meromorphic initial conditions by quadrature Loday-Richaud, Rank reduction, normal forms and Sto kes matrices, Expo

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:56:11.403977Z

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Observation 185ab665-317e-485a-85f4-97e73bb9c2e0 · outbound

This paper cites Ma, Complexiton solutions to the Korteweg–de Vri es equation, Phys.

Solvability of the Korteweg-de Vries equation under meromorphic initial conditions by quadrature Ma, Complexiton solutions to the Korteweg–de Vri es equation, Phys

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:56:11.395507Z

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Observation b7cbbfb1-4938-424c-80e3-65ee624fba86 · outbound

This paper cites Ma and Y.

Solvability of the Korteweg-de Vries equation under meromorphic initial conditions by quadrature Ma and Y

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:56:11.387467Z

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Observation 14c46bba-fad6-49d8-b7cb-7d379e8220db · outbound

This paper cites Matveev, Positon: Slowly decreasing analogues of solitons, Theoret.

Solvability of the Korteweg-de Vries equation under meromorphic initial conditions by quadrature Matveev, Positon: Slowly decreasing analogues of solitons, Theoret

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:56:11.377903Z

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Observation 0009bad7-71c5-4523-a293-3a4e4cf00bb7 · outbound

This paper cites Matveev and M.A.

Solvability of the Korteweg-de Vries equation under meromorphic initial conditions by quadrature Matveev and M.A

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:56:11.368390Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 454b3cdf-949f-4773-856a-785380f46a6f · outbound

This paper cites Mitschi and D.

Solvability of the Korteweg-de Vries equation under meromorphic initial conditions by quadrature Mitschi and D

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:56:11.359584Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ee7ad8ca-5fd4-42ea-b9e4-54d7d9f40e5c · outbound

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

Solvability of the Korteweg-de Vries equation under meromorphic initial conditions by quadrature Morales-Ruiz, Diﬀerential Galois Theory and Non-Integrability of Hamilt onian Systems Birkh¨ auser, Basel,1999

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T05:56:11.243294Z

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Observation bacfcff9-e6c8-4721-8f73-3f1517fc1acd · outbound

This paper cites van der Put and M.F.

Solvability of the Korteweg-de Vries equation under meromorphic initial conditions by quadrature van der Put and M.F

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:56:11.343938Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 37b623c4-5243-4ca4-86f5-dedad02c19fa · outbound

This paper cites Ramis, Ph´ enom` ene de Stokes et ﬁltration Gevrey sur le groupe de Picard-Vessiot, C.

Solvability of the Korteweg-de Vries equation under meromorphic initial conditions by quadrature Ramis, Ph´ enom` ene de Stokes et ﬁltration Gevrey sur le groupe de Picard-Vessiot, C

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:56:11.335306Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ed57c574-1888-484d-aa82-f1a7c5c5c29a · outbound

This paper cites Ramis, Filtration Gevrey sur le groupe de Picard- Vessiot d’une ´ equation diﬀ´ erentielle irr´ eguli` ere, in P.

Solvability of the Korteweg-de Vries equation under meromorphic initial conditions by quadrature Ramis, Filtration Gevrey sur le groupe de Picard- Vessiot d’une ´ equation diﬀ´ erentielle irr´ eguli` ere, in P

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:56:11.327611Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 471d406d-6798-42bf-b09d-ebd18abc5704 · outbound

This paper cites Ramis and J.

Solvability of the Korteweg-de Vries equation under meromorphic initial conditions by quadrature Ramis and J

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:56:11.318544Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 129c7d19-174e-4857-91e2-95b5c81b1d8e · outbound

This paper cites Rasinariu, U.

Solvability of the Korteweg-de Vries equation under meromorphic initial conditions by quadrature Rasinariu, U

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-07T05:56:11.257870Z

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Observation bb85ae6e-1561-4efe-a0d4-bf48f5f75af4 · 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 Korteweg-de Vries equation under meromorphic initial conditions by quadrature Singer, Introduction to the Galois theory of linear d iﬀerential equations, in Algebraic Theory of Diﬀerential Equations , M.A.H

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-07T05:56:11.260084Z

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Unavailable: canonical work link unavailable.

Observation 16b29327-95e0-4f05-8068-45a8e8f603e2 · outbound

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

Solvability of the Korteweg-de Vries equation under meromorphic initial conditions by quadrature Yagasaki, Integrability of the Zakharov-Shabat sys tems by quadrature, Comm

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-07T05:56:11.262549Z

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Unavailable: canonical work link unavailable.

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

This paper cites Solvability of the Zakharov-Shabat systems with meromorphic potentials by quadrature.

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

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

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

Solvability of the Zakharov-Shabat systems with meromorphic potentials by quadrature cites this paper.

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 2026-08-07T06:34:17.273281+00:00.