Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T21:58:55.497887Z
Paper Citation Record · LEDGER
As of 14 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 0 inbound Pith citation observations for arXiv:2506.23119.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T21:58:55.497887Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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
56 of 56 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 65879c64-0b31-4a3a-8442-fab70bb2cb49 · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Aizenman and S
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 19e663f9-dc5b-4d21-ba2b-266f7de5958a · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Unresolved cited work
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 38620757-1af3-485c-9fcf-1a2b65e8501d · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Agmon, Spectral properties of Schr¨ odinger operators and scattering theory, Ann
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 057f51a6-0a24-4d42-84bf-d5a2df603a49 · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Boutet de Monvel and J
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation d7c88224-417c-4a1e-88dc-7cfc1a5f0566 · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Boutet de Monvel and J
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a6c46c19-f281-4876-a189-c3d0f6726675 · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Bellissard and H
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation eb6daf0b-abf1-4edf-8751-1a523039ed24 · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Pointwise estimates for the fundamental solutions of higher order Schr\"{o}dinger equations in low odd dimensions
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation c9290c19-d0b0-40b7-9b2a-3a79031edb90 · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Pointwise estimates for the fundamental solutions of higher order Schr\"{o}dinger equations in odd dimensions II: high dimensional case
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 8425cb18-0ed2-4e7a-bf5a-ab7c77ab6cb1 · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Unresolved cited work
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 22a2fa5b-e2ef-488c-bf02-5521c6355d7a · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Cuccagna and M
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 5a51ee79-31c9-4c03-b56c-a41aad356bb7 · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Cuccagna, Lp continuity of wave operators in Z, J
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation bb024396-ae50-410a-9deb-d8e54e04d9ce · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Unresolved cited work
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 2c991640-19f3-427a-8eb2-49bc3d633a34 · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Egorova, E
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 32a6bd49-5d83-4c9d-97c4-2733caa389f3 · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Erdo˘ gan, W
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 1ae17df3-961f-469e-9271-df6be6bc3fde · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Erdo˘ gan and W
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 28384b72-3ba3-4ac9-85b9-a6c36dfec08e · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Unresolved cited work
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 113d1996-bb27-4610-9a2e-73bb7e14aa25 · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Unresolved cited work
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a6f17260-b1bd-4385-967f-bcaa5129d30e · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Georgescu, C
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 6fe3d5ec-dc70-4976-9410-6bdd322b8bdc · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Goldberg and W.R
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 6f5b1b87-898b-4cc7-879e-4a7b66da7ac2 · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Goldberg and W.R
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 07f0f214-0098-452a-bdb6-e7eb75840653 · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Hayashi, Y
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 074bbdf2-553d-4230-98ea-b3d26df22c4c · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Hiroshima and J
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4df98b5f-f8ca-480a-85fa-753849570f02 · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Higuchi, T
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 45e5892f-3ea0-4e7b-ab8a-00ea13f860fd · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Hiroshima, Z
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation e172dc45-19a4-498c-a854-d1778f6df6a0 · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Hiroshima, I
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation e4968e4a-5892-4ef2-9fae-12578e6a22df · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Ito and A
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation d818a1f5-ceed-4bfb-a7be-d2fd0a4f5261 · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Isozaki and E
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 896c3a55-55f6-46fd-b60d-4392cf99f41b · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Isozaki and H
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 9ad60512-781c-4553-8688-8f4fd3a207f3 · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Jensen and T
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a1c7cbb5-79c1-4b19-9c68-ccc905a92415 · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Jensen, E
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation dadd3614-4e01-4840-a3f4-1db63a1b4fcd · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Jensen and G
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f6ad3c53-a872-4adc-b36e-d30c63b5fef2 · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Journ´ e, A
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 8b8ba707-eae1-42ad-a593-0fc3e6e6bd75 · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Unresolved cited work
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation b61b36fb-34b3-44ed-afe7-52899d1d40f7 · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Unresolved cited work
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 554d1aed-3417-4b3b-98ac-a5b8cbbcafa4 · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Korotyaev and J.S
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 8ef5693d-2a8e-4d69-a7c1-1bb55e917723 · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Kr¨ uger, On the existence of embedded eigenvalues,J
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4ce32345-dd75-449b-adb4-aaedd7aa0799 · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Keel and T
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3f8c5394-cef1-4ec9-93eb-617587baaa6c · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Liu, Criteria for eigenvalues embedded into the absolutely continuous spectrum of perturbed Stark type operators, J
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation b883c5a4-fd01-4384-8bbb-fd56299d4f50 · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Liu, Irreducibility of the Fermi variety for discrete periodic Schr¨ odinger operators and embedded eigenvalues, Geom
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 12284203-f40e-4e84-9e26-b72e226ef756 · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Sharp decay rate for eigenfunctions of perturbed periodic Schr\"odinger operators
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 89919249-7a3c-4ad0-a45b-c86f3fbc32c9 · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Marklof, Arithmetic Quantum Chaos, Academic Press, Oxford, (2006), 212-221
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f0c956d0-ec37-4202-9ef1-ef54b1d9916d · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Mandich, The limiting absorption principle for the discrete Wigner–von Neumann operator, J
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 8c3a8073-8023-403d-9a88-cd845e39936f · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Mandich, Sub-exponential decay of eigenfunctions for some discrete Schr¨ odinger operators, J
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a80a1f4f-0268-4ce5-84d0-1b27709abec6 · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Mourre, Absence of singular continuous spectrum for certain selfadjoint operators, Comm
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 5e377180-4741-4bd6-91e0-4dcba0361af5 · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Mourre, Operateurs conjugu´ es et propri´ et´ es de propagation,Comm
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a14b2eed-e723-4f4b-9796-db0852e5ab81 · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Mi and Y
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation fd2899ef-27f0-436d-a7e7-a5a389490529 · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ ¨Ochsner, Classical Beam Theories of Structural Mechanics, Springer International Publishing, (2021), 7-66
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 96576110-9bfa-4cf3-a914-79382b1c8753 · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Unresolved cited work
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 9949b29e-f87d-4ebd-8fed-22c05d545ec0 · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Reed and B
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 9f3cd731-afd2-4a32-82dc-942b8e8e1b65 · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Rodnianski and W
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 59b324b8-3576-4a68-8ad2-8efe785712a0 · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Stefanov and P
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 414fbfbd-2ad2-4fb6-a2d4-ff4f3c37d47a · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Soffer, Z
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation de83d00f-92b1-4e8b-9c3b-b9e3fef5134e · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Tao, Nonlinear dispersive equations
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 24fe0a13-612f-46a3-8d87-4ccab1ecb34d · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Schlag, Dispersive estimates for Schr¨ odinger operators: a survey Mathematical aspects of nonlinear dispersive equations, Ann
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 6654516c-feb3-42e5-b1fb-0b4c024186a7 · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Unresolved cited work
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ae18b356-513f-49d8-98c4-2b4fe3e70526 · outbound
Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Shaban and B
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
No inbound Pith citation observations are available.