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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

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

measured 31 of 31 standing notices

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

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

Reference resolution

30 of 30 outbound references displayed

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  • verified fuzzy18
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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

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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

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source=pdf_text observed=2026-08-07T05:56:11.195991Z digest=sha256:fc2b74763790d33560ec13af24d54ac2344c7e021d00529743ee0b096ccdf83a

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

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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

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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

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source=pdf_text observed=2026-08-07T05:56:11.203198Z digest=sha256:b333bf723e314c56fac7806f7b159552014b6ab71bf904b06c6b8fdefa4deede

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

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source=pdf_text observed=2026-08-07T05:56:11.205519Z digest=sha256:659bb02b45dffcdd207e7fdd0a03078102d77a8ce974ee8f313b54890cbcfec0

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

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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

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source=pdf_text observed=2026-08-07T05:56:11.210192Z digest=sha256:1f91b6166541073fc968d019355231e7663f504e93642c8b55adc9569d14d14d

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

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source=pdf_text observed=2026-08-07T05:56:11.212432Z digest=sha256:1ff541344c685f2d7750b0b326ed8d8aa121d96acdf5a18a8c29e951deebf203

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

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source=pdf_text observed=2026-08-07T05:56:11.214823Z digest=sha256:e9743f432e22719d218a400333f13930967595637f1982684c3b9d0c37e5a6fe

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

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source=pdf_text observed=2026-08-07T05:56:11.217299Z digest=sha256:117d65f677860f7955b4a3e6201ad0fb7249eef6d488b9b08a68e1238ba4309b

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

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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

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source=pdf_text observed=2026-08-07T05:56:11.221967Z digest=sha256:36958f8eb0321fbc48f62b4dfa37103fe4f92f8eb85304fc1b84f8d5f8e91ee0

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

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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

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source=pdf_text observed=2026-08-07T05:56:11.226204Z digest=sha256:37e1e1ae9297ca36a50ef1594d7830e1b971fa1b9cc13a5372b4bdb38ad763c2

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

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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

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source=pdf_text observed=2026-08-07T05:56:11.231354Z digest=sha256:e70f3dcb6f402432bdab2ffbce5fc3a8c77d01fdc91f2a295cbe7afc8eb53f50

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

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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

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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

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source=pdf_text observed=2026-08-07T05:56:11.238599Z digest=sha256:ca3592b36dc4df45fdafcb6275c11f1d093a49c8a84163acc75fd96cc3c1f494

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

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source=pdf_text observed=2026-08-07T05:56:11.241146Z digest=sha256:71cfa85bca9294876a919912e4f598cfadfca9eb27522e07f194519e8328e2bd

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

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source=pdf_text observed=2026-08-07T05:56:11.243294Z digest=sha256:6e56b62ddbc3ef9f3a2d716d8e6135d3efbc1a2d64e858e8efa16fadb25f24d4

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

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source=pdf_text observed=2026-08-07T05:56:11.247711Z digest=sha256:d8db64141eb99fd26b156a1d6dd8e73d3981cd77cbddf44f18691bcb4ca03bd2

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

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source=pdf_text observed=2026-08-07T05:56:11.250164Z digest=sha256:aef29b7f7e5810d8ee85474ac57d28e2a76518c4ae066f029d6f431ff445f6aa

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

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source=pdf_text observed=2026-08-07T05:56:11.252999Z digest=sha256:8e3703346c320c0f9623c73e80ab3289317af17b2bc5f6b0041707a4a6496eb4

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

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source=pdf_text observed=2026-08-07T05:56:11.255402Z digest=sha256:4695991ddc0728b1ede43bef234f85ad0f131448bccc7df87fac160633d0c47b

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

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source=pdf_text observed=2026-08-07T05:56:11.257870Z digest=sha256:452b585fb90ead4a440e5a1eac9b726fa11420acc7f3802959b0a37b6e32a917

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

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source=pdf_text observed=2026-08-07T05:56:11.260084Z digest=sha256:fedf9a10783026c89357c80983726abb73552ea89ecd91df1827a79013f06078

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

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source=pdf_text observed=2026-08-07T05:56:11.262549Z digest=sha256:d9995539163c1f33df155b92b1ff67148a6c8e08495bac109241d1b2c862e9b9

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

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local_arxiv, observed 2026-08-07T05:56:11.290976Z

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source=pdf_text observed=2026-08-07T05:56:11.264679Z digest=sha256:37bf079b119988efafa9a26af6b5d51377c46e98e0ac54a9d54d89ce9fbbf37d

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

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local_arxiv, observed 2026-08-07T05:47:37.146213Z

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source=pdf_text observed=2026-08-07T05:47:37.102458Z digest=sha256:ba90782e5cff8d09ed14acad2fcd9eb9f1fb3b1338fd95ff69d9462a97f8f7ee