Paper Citation Record · LEDGER

Concentric-ring patterns of higher-order lumps in the Kadomtsev--Petviashvili I equation

As of 13 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2411.17364.

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

pith.paper-citation-record.v1
2411.17364 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T12:17:18.470718Z

measured 35 of 35 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

35 of 35 outbound references displayed

verified exact0
verified fuzzy28
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 49c016a3-4370-4143-b9b4-a3f29887c7f2 · outbound

This paper cites (22) with N = 6 and r = 1, 2, 3.

Concentric-ring patterns of higher-order lumps in the Kadomtsev--Petviashvili I equation (22) with N = 6 and r = 1, 2, 3

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:17:19.026655Z

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 00c9a162-e349-4c40-b0d8-ffb7df97556a · outbound

This paper cites an unresolved cited work.

Concentric-ring patterns of higher-order lumps in the Kadomtsev--Petviashvili I equation Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-12T12:17:19.011006Z

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 1bcf9ed3-b97b-4c41-8a4b-594acd4a02ea · outbound

This paper cites an unresolved cited work.

Concentric-ring patterns of higher-order lumps in the Kadomtsev--Petviashvili I equation Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-12T12:17:18.996046Z

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 9189d391-cdfc-4c86-a8f7-1a980d57462e · outbound

This paper cites an unresolved cited work.

Concentric-ring patterns of higher-order lumps in the Kadomtsev--Petviashvili I equation Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-12T12:17:18.980999Z

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 edc0c344-0b30-4c12-9104-68fc1a3ec883 · outbound

This paper cites an unresolved cited work.

Concentric-ring patterns of higher-order lumps in the Kadomtsev--Petviashvili I equation Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-12T12:17:18.966587Z

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 d98f4f79-a81d-4f2e-b038-a86884549acd · outbound

This paper cites Assumption 2.

Concentric-ring patterns of higher-order lumps in the Kadomtsev--Petviashvili I equation Assumption 2

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:17:18.951870Z

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 27c18a0f-65c1-4b04-9303-5c991ec48896 · outbound

This paper cites Ablowitz and P.A.

Concentric-ring patterns of higher-order lumps in the Kadomtsev--Petviashvili I equation Ablowitz and P.A

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:17:18.824648Z

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 05001a95-ba5b-44a1-a77a-f6d5ed7c9c55 · outbound

This paper cites On the stability of solitary waves in weakly dispersive media.

Concentric-ring patterns of higher-order lumps in the Kadomtsev--Petviashvili I equation On the stability of solitary waves in weakly dispersive media

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:17:18.921690Z

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 1548ae8a-c34c-4c41-85f5-466df9e466b7 · outbound

This paper cites On the evolution of packets of water waves.

Concentric-ring patterns of higher-order lumps in the Kadomtsev--Petviashvili I equation On the evolution of packets of water waves

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:17:18.906150Z

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 abec44d6-88c8-405c-800b-b21e191c5ebe · outbound

This paper cites Self-focusing of plane dark solitons in nonlinear defocusing media.

Concentric-ring patterns of higher-order lumps in the Kadomtsev--Petviashvili I equation Self-focusing of plane dark solitons in nonlinear defocusing media

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:17:18.890487Z

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 9c3da48d-dbf0-4dff-9d24-f0f84b579d69 · outbound

This paper cites Soliton-like bubbles in the system of interacting bosons.

Concentric-ring patterns of higher-order lumps in the Kadomtsev--Petviashvili I equation Soliton-like bubbles in the system of interacting bosons

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:17:18.874561Z

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 1e2cad04-2a0e-4a95-9d92-6033d902ada6 · outbound

This paper cites Solitons in two-dimensional Bose-Einstein condensates.

Concentric-ring patterns of higher-order lumps in the Kadomtsev--Petviashvili I equation Solitons in two-dimensional Bose-Einstein condensates

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:17:18.856228Z

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 a56fccdc-4678-4174-a40b-a59228055224 · outbound

This paper cites Novikov, S.V.

Concentric-ring patterns of higher-order lumps in the Kadomtsev--Petviashvili I equation Novikov, S.V

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:17:18.839826Z

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 b393bdcd-9d47-4a6f-b852-55907ce16bae · outbound

This paper cites New multisoliton solutions of the Kadomtsev–Petviashvili equation.

Concentric-ring patterns of higher-order lumps in the Kadomtsev--Petviashvili I equation New multisoliton solutions of the Kadomtsev–Petviashvili equation

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:17:18.720259Z

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 8cbf0b33-80fa-49fd-a036-6299a9e170ab · outbound

This paper cites Equation of an extraordinary soliton.

Concentric-ring patterns of higher-order lumps in the Kadomtsev--Petviashvili I equation Equation of an extraordinary soliton

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:17:18.808469Z

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 1d8fac9b-a829-4159-a9eb-f85c4510b673 · outbound

This paper cites Two-dimensional solitons of the Kadomtsev– Petviashvili equation and their interaction.

Concentric-ring patterns of higher-order lumps in the Kadomtsev--Petviashvili I equation Two-dimensional solitons of the Kadomtsev– Petviashvili equation and their interaction

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:17:18.793014Z

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 a0859c00-1c71-4be6-9e3f-dde062a866a9 · outbound

This paper cites Two-dimensional lumps in nonlinear dispersive systems.

Concentric-ring patterns of higher-order lumps in the Kadomtsev--Petviashvili I equation Two-dimensional lumps in nonlinear dispersive systems

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-12T12:17:18.387054Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 898bf3bc-7d81-4b9a-b39c-b4ffe5ac7c34 · outbound

This paper cites Normal and anomalous scattering, formation and decay of bound states of two-dimensional solitons described by the Kadomtsev–Petviashvili equation,.

Concentric-ring patterns of higher-order lumps in the Kadomtsev--Petviashvili I equation Normal and anomalous scattering, formation and decay of bound states of two-dimensional solitons described by the Kadomtsev–Petviashvili equation,

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:17:18.767122Z

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 d199e467-3e76-4332-81f3-cc1c80690f5e · outbound

This paper cites Solutions to the time dependent Schr¨ odinger and the Kadomtsev–Petviashvili equations,.

Concentric-ring patterns of higher-order lumps in the Kadomtsev--Petviashvili I equation Solutions to the time dependent Schr¨ odinger and the Kadomtsev–Petviashvili equations,

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:17:18.751695Z

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 05f7357d-f6ab-4c97-a403-19409403ad74 · outbound

This paper cites A novel class of solutions of the non-stationary Schr¨ odinger and the Kadomtsev–Petviashvili I equations.

Concentric-ring patterns of higher-order lumps in the Kadomtsev--Petviashvili I equation A novel class of solutions of the non-stationary Schr¨ odinger and the Kadomtsev–Petviashvili I equations

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:17:18.735507Z

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 494887f2-7f4f-490e-a6f2-3d45a8043f93 · outbound

This paper cites Rational solutions to the KPI equation from particular polynomials.

Concentric-ring patterns of higher-order lumps in the Kadomtsev--Petviashvili I equation Rational solutions to the KPI equation from particular polynomials

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:17:18.609133Z

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 b4250307-c799-496f-81b3-51efb7621220 · outbound

This paper cites On multi-rogue wave solutions of the NLS equation and positon solutions of the KdV equation.

Concentric-ring patterns of higher-order lumps in the Kadomtsev--Petviashvili I equation On multi-rogue wave solutions of the NLS equation and positon solutions of the KdV equation

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:17:18.705182Z

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 96ea68e7-e9b5-4bf1-a242-1fd663a6a500 · outbound

This paper cites In that case, G is proportional to an identity matrix and thus cM1 = 0, violating this assumption.

Concentric-ring patterns of higher-order lumps in the Kadomtsev--Petviashvili I equation In that case, G is proportional to an identity matrix and thus cM1 = 0, violating this assumption

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:17:18.936646Z

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 b2fd5262-8109-42c6-ac12-442dfaadfdd9 · outbound

This paper cites Multi-rogue waves solutions: from the NLS to the KP-I equation.

Concentric-ring patterns of higher-order lumps in the Kadomtsev--Petviashvili I equation Multi-rogue waves solutions: from the NLS to the KP-I equation

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:17:18.688736Z

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 f697cea6-aa10-4fbd-9a69-80934e3699c4 · outbound

This paper cites Families of rational solution solutions of the Kadomtsev–Petviashvili I equation.

Concentric-ring patterns of higher-order lumps in the Kadomtsev--Petviashvili I equation Families of rational solution solutions of the Kadomtsev–Petviashvili I equation

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:17:18.671869Z

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 ea73444a-563d-4f44-ab21-f12cd82b3329 · outbound

This paper cites Rational solutions of the Boussinesq equation and applications to rogue waves.

Concentric-ring patterns of higher-order lumps in the Kadomtsev--Petviashvili I equation Rational solutions of the Boussinesq equation and applications to rogue waves

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:17:18.655405Z

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 489cf15e-a6ce-4403-8827-4614ddf885a0 · outbound

This paper cites Multiparametric families of solutions of the Kadomtsev–Petviashvili-I equation, the structure of their rational representations, and multi-rogue waves.

Concentric-ring patterns of higher-order lumps in the Kadomtsev--Petviashvili I equation Multiparametric families of solutions of the Kadomtsev–Petviashvili-I equation, the structure of their rational representations, and multi-rogue waves

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:17:18.640382Z

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 2a9643f5-faae-4d97-b1ab-96634644e5c2 · outbound

This paper cites Asymptotic analysis of multilump solutions of the Kadomtsev–Petviashvili-I equation.

Concentric-ring patterns of higher-order lumps in the Kadomtsev--Petviashvili I equation Asymptotic analysis of multilump solutions of the Kadomtsev–Petviashvili-I equation

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:17:18.625318Z

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 3941f928-dfbd-4239-b532-2fdfe2490dc1 · outbound

This paper cites Lump molecules in fluid systems: Kadomtsev–Petviashvili I case.

Concentric-ring patterns of higher-order lumps in the Kadomtsev--Petviashvili I equation Lump molecules in fluid systems: Kadomtsev–Petviashvili I case

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-12T12:17:18.443041Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a8d3b409-7635-453d-a239-33df1c4a94c3 · outbound

This paper cites Pattern transformation in higher-order lumps of the Kadomtsev–Petviashvili I equation.

Concentric-ring patterns of higher-order lumps in the Kadomtsev--Petviashvili I equation Pattern transformation in higher-order lumps of the Kadomtsev–Petviashvili I equation

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-12T12:17:18.447460Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 20f70714-84a6-45e8-b601-b454e48f02b5 · outbound

This paper cites Classification of KPI lumps.

Concentric-ring patterns of higher-order lumps in the Kadomtsev--Petviashvili I equation Classification of KPI lumps

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:17:18.572348Z

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 22ea2b1e-03ca-4c92-bb42-7d5b5f7b5652 · outbound

This paper cites Multi-lump wave patterns of KPI via integer partitions.

Concentric-ring patterns of higher-order lumps in the Kadomtsev--Petviashvili I equation Multi-lump wave patterns of KPI via integer partitions

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:17:18.556660Z

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 ab26d3b7-0cc6-4708-b0bb-82559f70839a · outbound

This paper cites Modified equations, rational solutions, and the Painlev´ e property for the Kadomtsev–Petviashvili and Hirota– Satsuma equations.

Concentric-ring patterns of higher-order lumps in the Kadomtsev--Petviashvili I equation Modified equations, rational solutions, and the Painlev´ e property for the Kadomtsev–Petviashvili and Hirota– Satsuma equations

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:17:18.541056Z

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 b7f89741-5b0c-4c53-9ac3-9bac23e06707 · outbound

This paper cites General high-order rogue waves and their dynamics in the nonlinear Schr¨ odinger equation.

Concentric-ring patterns of higher-order lumps in the Kadomtsev--Petviashvili I equation General high-order rogue waves and their dynamics in the nonlinear Schr¨ odinger equation

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:17:18.525737Z

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 6c51366e-4500-45c4-8172-8d9e8c0b8c08 · outbound

This paper cites Zeros of Wronskians of Hermite polynomials and Young diagrams.

Concentric-ring patterns of higher-order lumps in the Kadomtsev--Petviashvili I equation Zeros of Wronskians of Hermite polynomials and Young diagrams

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:17:18.509970Z

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.

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