Paper Citation Record · LEDGER

Stabilization of small solutions of discrete NLS with potential having two eigenvalues

As of 16 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:1908.08630.

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

pith.paper-citation-record.v1
1908.08630 v1

Coverage vector

measured 46 of 46 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:45:16.857214Z

measured 46 of 46 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

46 of 46 outbound references displayed

verified exact0
verified fuzzy23
unresolved23
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 02f1d4c0-5e8b-4ced-9040-d299e0d9432c · outbound

This paper cites Bambusi and T.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues Bambusi and T

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:45:17.577247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 684991ae-19cd-46c9-b471-1dbe4c038859 · outbound

This paper cites an unresolved cited work.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:45:17.563073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4b6695eb-eef4-44e8-8d74-896771a5feb0 · outbound

This paper cites an unresolved cited work.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:45:17.549030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b142b7b5-c536-496d-b123-17928695560b · outbound

This paper cites an unresolved cited work.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:45:17.534020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 918e226d-1822-4238-8eb5-3cb0f4c26f56 · outbound

This paper cites an unresolved cited work.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:45:17.519009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 99829748-030e-4e6f-9a3c-65b9694deb9d · outbound

This paper cites an unresolved cited work.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:45:17.504551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 65b31717-9ffb-4beb-b8b3-5f161b3f273c · outbound

This paper cites D 238 (2009), no.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues D 238 (2009), no

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:45:17.489241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ae023693-8a8b-4f58-b43e-bb071c294f5d · outbound

This paper cites an unresolved cited work.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:45:17.474568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2faae7d6-684e-4fa3-a49e-6d5b03c9ad3f · outbound

This paper cites an unresolved cited work.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:45:17.459767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 46cf6991-e61b-4d09-8a6d-e0d906fb2385 · outbound

This paper cites an unresolved cited work.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:45:17.445080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b506c6a9-82e9-4e1a-97e4-31665c360063 · outbound

This paper cites PDE 8 (2015), no.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues PDE 8 (2015), no

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:45:17.430073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c7bce695-0d32-4a8b-8bdc-afa976318a5b · outbound

This paper cites Nonlinear Sci.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues Nonlinear Sci

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:45:17.414828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 9054846f-63c7-4c68-b997-61378e16c5b3 · outbound

This paper cites Phan, On small energy stabilization in the NLKG with a trapping potential, Nonlinear Anal.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues Phan, On small energy stabilization in the NLKG with a trapping potential, Nonlinear Anal

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:45:17.399747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation cb262abc-49d8-4338-b208-d2cacb4d6c22 · outbound

This paper cites an unresolved cited work.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:45:17.383691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e14f40e3-edbc-4ee4-adf9-00649f702e38 · outbound

This paper cites an unresolved cited work.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:45:17.369156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 57c438b1-ed68-4839-a973-1d62ee7eb082 · outbound

This paper cites Efremidis, Suzanne Sears, Demetrios N.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues Efremidis, Suzanne Sears, Demetrios N

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:45:17.354694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 402f4e17-8d28-4d06-b75e-1490178fc33e · outbound

This paper cites an unresolved cited work.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:45:17.340288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation be19971c-0594-4e94-9301-52faedd7e469 · outbound

This paper cites Gorbach, Discrete breathers advances in theory and applications, Physics Reports 467 (2008), no.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues Gorbach, Discrete breathers advances in theory and applications, Physics Reports 467 (2008), no

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:45:17.325585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2893dfe1-02a4-4085-a7f6-47587ec7df27 · outbound

This paper cites Flach and C.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues Flach and C

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:45:17.310507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 85b852b6-1c96-4153-a6e9-56992532fd84 · outbound

This paper cites an unresolved cited work.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:45:17.295324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e1585214-838d-4407-9d9c-3d6c9841bbd8 · outbound

This paper cites 1, 111–128.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues 1, 111–128

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:45:17.279699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1a8cc45f-26c0-4d5f-9689-4d6baf945fce · outbound

This paper cites Weinstein, Equipartition of mass in nonlinear Schr¨ odinger/Gross-Pitaevskiiequations, Appl.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues Weinstein, Equipartition of mass in nonlinear Schr¨ odinger/Gross-Pitaevskiiequations, Appl

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:45:17.264811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2ca99d37-c4bb-48b9-bffc-bf9d3cbd8be0 · outbound

This paper cites an unresolved cited work.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:45:17.249713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 919b1979-b104-4a46-bc33-825032c28a6f · outbound

This paper cites Khanikaev, and Andrea Al` u, Self-induced topological transitions and edge states supported by nonlinear staggered potentials, Phys.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues Khanikaev, and Andrea Al` u, Self-induced topological transitions and edge states supported by nonlinear staggered potentials, Phys

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:45:17.235656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a6ddfd39-b059-4e24-82b2-f2b79ae16374 · outbound

This paper cites an unresolved cited work.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:45:17.220715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 00be144e-3461-4a3a-8764-5d01774b4f98 · outbound

This paper cites Kevrekidis, D.E.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues Kevrekidis, D.E

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:45:17.205765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0d53481e-d48d-45c4-ab58-84605785af72 · outbound

This paper cites an unresolved cited work.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:45:17.190456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 531d9cb3-c1ac-491a-9f1a-570827db088e · outbound

This paper cites 7-8, 731–756.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues 7-8, 731–756

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:45:17.174132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 560a45ce-de94-4ded-84a7-add4c3cc6fdb · outbound

This paper cites an unresolved cited work.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:45:17.158642Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0dfa1bd0-d827-4919-a618-894e6df3596b · outbound

This paper cites Mandelik, Y.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues Mandelik, Y

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:45:17.142605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 7a53ab32-e999-4c0d-b015-041ff237636e · outbound

This paper cites an unresolved cited work.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:45:17.126646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6114244f-8249-49bf-8e64-8724ba4833e6 · outbound

This paper cites an unresolved cited work.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:45:17.112105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 349b8d97-c43a-4444-99bd-727d120d3337 · outbound

This paper cites Diﬀerential Equations 12 (2007), no.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues Diﬀerential Equations 12 (2007), no

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:45:17.097080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 66b8caec-89bf-491e-a402-472094bf15a1 · outbound

This paper cites an unresolved cited work.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:45:17.081911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation bc2cda71-8f89-4fe2-b101-72ed549eb465 · outbound

This paper cites an unresolved cited work.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:45:17.067116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 67c904ef-0ae0-4546-807c-75cb8037363b · outbound

This paper cites Arnold, J.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues Arnold, J

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:45:17.051722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ac4f7863-0fb5-4976-b91c-d482360e3ee8 · outbound

This paper cites an unresolved cited work.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:45:17.036838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b99411a5-e014-41ec-8918-89a7e74cd6b3 · outbound

This paper cites Pelinovsky and Atanas Stefanov, Asymptotic stability of small gap solitons in nonlinear dirac equations, Journal of Mathematical Physics 53 (2012), no.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues Pelinovsky and Atanas Stefanov, Asymptotic stability of small gap solitons in nonlinear dirac equations, Journal of Mathematical Physics 53 (2012), no

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:45:17.021396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c7673ac5-1d49-44fd-875c-da04d0f03a97 · outbound

This paper cites Eugene Wayne, Invariant manifolds for a class of dispersive, Hamiltonian, partial diﬀerential equations, J.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues Eugene Wayne, Invariant manifolds for a class of dispersive, Hamiltonian, partial diﬀerential equations, J

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:45:17.004774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3ba7a654-fcde-4ef8-a00d-4eabb6e86524 · outbound

This paper cites Rose and Michael I.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues Rose and Michael I

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:45:16.989108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d8b530df-d1c1-4181-a3fb-f61f9c8e7fb8 · outbound

This paper cites Soﬀer and M.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues Soﬀer and M

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:45:16.973040Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 29020b8e-f609-4874-9a08-d1cd81df8f96 · outbound

This paper cites Soﬀer and M.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues Soﬀer and M

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:45:16.956277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c0e5cf24-dba9-4d9d-a5b8-25f6d1c781fd · outbound

This paper cites Kevrekidis, Asymptotic behaviour of small solutions for the discrete nonlinear Schr¨ odingerand Klein-Gordon equations, Nonlinearity 18 (2005), no.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues Kevrekidis, Asymptotic behaviour of small solutions for the discrete nonlinear Schr¨ odingerand Klein-Gordon equations, Nonlinearity 18 (2005), no

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:45:16.941247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a68ec120-d14c-458d-9609-8dea187fc421 · outbound

This paper cites an unresolved cited work.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues Unresolved cited work

Reference 44

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:45:16.925759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 378ac7ff-46bd-4aa5-8ba8-6500e8b7de95 · outbound

This paper cites an unresolved cited work.

Stabilization of small solutions of discrete NLS with potential having two eigenvalues Unresolved cited work

Reference 45

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:45:16.910922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 7107fa4f-b4a4-4993-b8d9-a8168a918ec8 · outbound

This paper cites 41–79 inside the volume ”Dynamics of Partial Diﬀeren tial Equations”, Frontiers in Applied Dynamics: Reviews and Tutorials, Volume 3 (Springer, 2015).

Stabilization of small solutions of discrete NLS with potential having two eigenvalues 41–79 inside the volume ”Dynamics of Partial Diﬀeren tial Equations”, Frontiers in Applied Dynamics: Reviews and Tutorials, Volume 3 (Springer, 2015)

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:45:16.895343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

No inbound Pith citation observations are available.