Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T22:43:45.606436Z
Paper Citation Record · LEDGER
Transverse linear stability of line solitons for 2D Toda
As of 17 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:2505.06768.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
43 of 43 outbound references displayed
- verified exact2
- verified fuzzy33
- unresolved8
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation ec7c97f0-3a43-440f-ba1d-adb7901b72a6 · outbound
This paper cites an unresolved cited work.
Transverse linear stability of line solitons for 2D Toda Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T22:43:48.988455Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation ab60eb19-b333-46e8-bf8a-c870690aabd0 · outbound
This paper cites an unresolved cited work.
Transverse linear stability of line solitons for 2D Toda Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T22:43:48.850275Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation f1640f1d-ab6b-4060-8a04-d6cafa986723 · outbound
This paper cites Bambusi, T.
Transverse linear stability of line solitons for 2D Toda Bambusi, T
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:43:48.748785Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 0094a2a5-b121-4e46-9feb-0bbf7fd51a5d · outbound
This paper cites an unresolved cited work.
Transverse linear stability of line solitons for 2D Toda Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T22:43:48.637038Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation b71a68d0-3661-470f-801e-0138f29ff9c8 · outbound
This paper cites Biondini and Y.
Transverse linear stability of line solitons for 2D Toda Biondini and Y
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:43:48.617311Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 0cbe6b2c-4180-4d5b-9d17-44784c30e624 · outbound
This paper cites Biondini and D.
Transverse linear stability of line solitons for 2D Toda Biondini and D
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:43:48.513493Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation a37a2249-c7e5-4459-bc35-b1d26e473b6e · outbound
This paper cites an unresolved cited work.
Transverse linear stability of line solitons for 2D Toda Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T22:43:48.439319Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation e776385b-f312-4273-9970-7bacf344c273 · outbound
This paper cites Contreras and D.
Transverse linear stability of line solitons for 2D Toda Contreras and D
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:43:48.416137Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation ce2d5fef-b0ed-46d5-8761-4b5775af0586 · outbound
This paper cites Contreras, D.
Transverse linear stability of line solitons for 2D Toda Contreras, D
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:43:48.277155Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 4c612ee9-e5ad-446f-ae61-0420f39e9990 · outbound
This paper cites Flaschka , On the Toda lattice.
Transverse linear stability of line solitons for 2D Toda Flaschka , On the Toda lattice
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:43:48.169148Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 49d735e7-814c-4f08-b476-321ce220802f · outbound
This paper cites Friesecke and R.
Transverse linear stability of line solitons for 2D Toda Friesecke and R
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:43:48.146054Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 516a210e-90ed-4a41-90f1-78a2811d8dfe · outbound
This paper cites Friesecke and R.
Transverse linear stability of line solitons for 2D Toda Friesecke and R
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:43:48.110828Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 3a8f3eec-1c74-4037-b08b-00fbb5fb5c20 · outbound
This paper cites Geyer, Y.
Transverse linear stability of line solitons for 2D Toda Geyer, Y
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:43:48.049128Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 14913c4b-3ba4-4fb6-8dc7-9ab2bd063fe7 · outbound
This paper cites Hadac, S.
Transverse linear stability of line solitons for 2D Toda Hadac, S
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:43:48.031895Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 5afd7c68-4852-477f-a504-877a8f582a72 · outbound
This paper cites Hirota , The direct method in soliton theory.
Transverse linear stability of line solitons for 2D Toda Hirota , The direct method in soliton theory
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:43:48.013516Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation ab780658-dea4-4be3-bae8-00889c85e78a · outbound
This paper cites Hristov and D.
Transverse linear stability of line solitons for 2D Toda Hristov and D
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:43:47.991362Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 27af74fc-2eb1-47eb-a6e0-33c4410e4ab9 · outbound
This paper cites Koch and D.
Transverse linear stability of line solitons for 2D Toda Koch and D
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:43:47.889141Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 2589c57e-00db-47b4-961d-58ff47e91089 · outbound
This paper cites Kr\"uger and G.
Transverse linear stability of line solitons for 2D Toda Kr\"uger and G
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:43:47.866420Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 157082c5-d08c-44ef-8325-78726af38588 · outbound
This paper cites Kr\"uger and G.
Transverse linear stability of line solitons for 2D Toda Kr\"uger and G
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:43:47.757730Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 53e8d1b2-f107-4d25-8732-415de1bd8031 · outbound
This paper cites Liu and J.
Transverse linear stability of line solitons for 2D Toda Liu and J
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:43:47.632332Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 3f75bdfb-bbbe-4f08-95b4-cd79a9971383 · outbound
This paper cites Liu and J.
Transverse linear stability of line solitons for 2D Toda Liu and J
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:43:47.614125Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 59ae2a34-7381-4176-b193-c3e593aa5c60 · outbound
This paper cites an unresolved cited work.
Transverse linear stability of line solitons for 2D Toda Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T22:43:47.560549Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation b85cb113-0f9f-47b9-86f6-312fb0b03843 · outbound
This paper cites Merle and L.
Transverse linear stability of line solitons for 2D Toda Merle and L
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:43:47.478949Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 030b4be3-4ee9-4023-adcd-5eee9f78e743 · outbound
This paper cites an unresolved cited work.
Transverse linear stability of line solitons for 2D Toda Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T22:43:47.454798Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation d0122298-0c7e-4035-b1b1-5ac11300d26c · outbound
This paper cites Mizumachi , Asymptotic stability of lattice solitons in the energy space, Comm.
Transverse linear stability of line solitons for 2D Toda Mizumachi , Asymptotic stability of lattice solitons in the energy space, Comm
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:43:47.310022Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 1fd8ece6-38b9-48f3-85fc-a847aa50348d · outbound
This paper cites Mizumachi , Asymptotic stability of N -solitary waves of the FPU lattices, Arch.
Transverse linear stability of line solitons for 2D Toda Mizumachi , Asymptotic stability of N -solitary waves of the FPU lattices, Arch
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:43:47.199048Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 10891d71-7218-4583-9b19-e2dc83ed1172 · outbound
This paper cites Mizumachi , Stability of line solitons for the KP-II equation in ^2 , Mem.
Transverse linear stability of line solitons for 2D Toda Mizumachi , Stability of line solitons for the KP-II equation in ^2 , Mem
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:43:47.183600Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation c0fdd851-e909-4d9f-b6ef-c457b11f1a1a · outbound
This paper cites Mizumachi , Stability of line solitons for the KP-II equation in R^2.
Transverse linear stability of line solitons for 2D Toda Mizumachi , Stability of line solitons for the KP-II equation in R^2
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:43:47.167233Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation a9fef832-f7dc-4105-9c7f-df4006172bb3 · outbound
This paper cites Mizumachi , The phase shift of line solitons for the KP-II equation , in Nonlinear dispersive partial differential equations and inverse scattering , 433--495, Fields Inst.
Transverse linear stability of line solitons for 2D Toda Mizumachi , The phase shift of line solitons for the KP-II equation , in Nonlinear dispersive partial differential equations and inverse scattering , 433--495, Fields Inst
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:43:47.050213Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation e571ff4a-5ab4-4952-8663-323d1f33fd65 · outbound
This paper cites Mizumachi , Linear stability of elastic-line solitons for the KP-II equation.
Transverse linear stability of line solitons for 2D Toda Mizumachi , Linear stability of elastic-line solitons for the KP-II equation
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:43:46.946166Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation dc95581b-9794-46c9-9604-638d2676f4d0 · outbound
This paper cites Mizumachi and R.
Transverse linear stability of line solitons for 2D Toda Mizumachi and R
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:43:46.833305Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 3ed3a91e-7441-4d3d-bacd-0992e48ebef0 · outbound
This paper cites Mizumachi and D.
Transverse linear stability of line solitons for 2D Toda Mizumachi and D
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:43:46.814242Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 8fa48c0a-50ae-4524-97e3-53b3d77914e1 · outbound
This paper cites Mizumachi and Y.
Transverse linear stability of line solitons for 2D Toda Mizumachi and Y
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:43:46.736027Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 2b927756-b8d5-455c-8d93-b95318062fbe · outbound
This paper cites Mizumachi and Y.
Transverse linear stability of line solitons for 2D Toda Mizumachi and Y
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:43:46.509540Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 2e4cd5fc-3b49-4aad-8a00-44e10dbc9445 · outbound
This paper cites Mizumachi and N.
Transverse linear stability of line solitons for 2D Toda Mizumachi and N
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:43:46.483941Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 351b81cc-c157-4dc2-9a7b-d89d532c66ec · outbound
This paper cites an unresolved cited work.
Transverse linear stability of line solitons for 2D Toda Unresolved cited work
Reference 36
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T22:43:46.390184Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 3e98616c-5e7d-4b7f-a802-b3e04552d412 · outbound
This paper cites an unresolved cited work.
Transverse linear stability of line solitons for 2D Toda Unresolved cited work
Reference 37
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T22:43:46.210633Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation ec80656f-e01b-4144-96e1-b42335f68feb · outbound
This paper cites On the B\"acklund transform and the stability of the line soliton of the KP-II equation on $\mathbb R^2$.
Transverse linear stability of line solitons for 2D Toda On the B\"acklund transform and the stability of the line soliton of the KP-II equation on $\mathbb R^2$
Reference 38
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T22:43:45.684635Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 3893b37d-9a0f-45f3-aca4-c7e02596ca19 · outbound
This paper cites Transverse linear stability of one-dimensional solitary gravity water waves.
Transverse linear stability of line solitons for 2D Toda Transverse linear stability of one-dimensional solitary gravity water waves
Reference 39
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T22:43:45.660811Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation e65e07df-7994-4a01-bec4-36e3848e0ab4 · outbound
This paper cites Toda , Nonlinear waves and solitons , translated from the Japanese, Mathematics and its Applications (Japanese Series), 5, Kluwer Acad.
Transverse linear stability of line solitons for 2D Toda Toda , Nonlinear waves and solitons , translated from the Japanese, Mathematics and its Applications (Japanese Series), 5, Kluwer Acad
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:43:45.982868Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation eea699ed-88ee-4ff6-95bf-c5a2173b67c6 · outbound
This paper cites Toda , Wave Propagation in Anharmonic Lattices, Journal of the Physical Society of Japan 23 (1967), 501--506.
Transverse linear stability of line solitons for 2D Toda Toda , Wave Propagation in Anharmonic Lattices, Journal of the Physical Society of Japan 23 (1967), 501--506
Reference 41
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:43:45.912804Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation ce8a1af2-24e4-4462-b377-afa6daaeb3e6 · outbound
This paper cites Toda and M.
Transverse linear stability of line solitons for 2D Toda Toda and M
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:43:45.726430Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation fda3359b-e05e-461b-90e5-e5a0e0aa49c6 · outbound
This paper cites Ueno and K.
Transverse linear stability of line solitons for 2D Toda Ueno and K
Reference 43
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:43:45.705864Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Pith citing papers
No inbound Pith citation observations are available.