Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-06-30T08:34:45.441858Z
Paper Citation Record · LEDGER
As of 20 August 2026, this Paper Citation Record lists 65 of 65 outbound references and 0 inbound Pith citation observations for arXiv:2606.28982.
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 2026-06-30T08:34:45.441858Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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
65 of 65 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 61b5ada0-5883-4558-9143-820b4fc275c3 · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Unresolved cited work
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 046b69f3-8f5f-47ea-b492-e10a80b5a5a0 · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Unresolved cited work
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation aeb12752-3f2c-4401-8deb-6f72773a340d · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Unresolved cited work
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 26809f7a-b83f-45ce-9bb0-4975bbce018c · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Inspection of Eq
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 2fff47b8-288a-4034-bf76-e84ff200f096 · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Unresolved cited work
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ae195f37-ad7b-4d24-a49e-2e042b7d9da9 · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Unresolved cited work
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 1ac69d39-8e91-4aee-8216-fd2f0d1f8e5c · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Unresolved cited work
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d9b73261-5667-45ca-b150-f59ad6431db5 · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields As a consequence, only bispherical harmonics with azimuthal indexm= 1contribute, and the angular structure is entirely captured by the combinationP 1 n(cosξ) sinϕ
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation f8d7394c-c0cd-49b8-bf83-1eb09f6e3be1 · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Unresolved cited work
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d58fe3e9-92c9-4ec9-991e-0f235f67b08d · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields The latter are reduced to theP 1 n±1 basis using the standard recurrence relations for associated Legendre functions
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 07c13ea3-f8cd-47e9-b515-1c6147771ff5 · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Inspection of Eq
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation b8d3958a-6c38-469c-98a7-89aeea433edd · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Unresolved cited work
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 6af60e9f-d9ad-43db-80e0-07d33d067e83 · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Unresolved cited work
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 6ea0eb71-08fd-48a7-b57f-a9ef347b595b · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Unresolved cited work
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 9dd9888a-9f56-4ca5-90c3-eab952332716 · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Using the bispherical expression for∇θ in Eq
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 09f18e67-b630-480b-bb69-342519903f96 · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Unresolved cited work
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 17a79ea5-abcf-469a-aa6a-ea006d289f2e · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Substituting Eq
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation c896240e-7b6d-48b3-8816-0f2cd9e7708b · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Equation (C11) is the expression quoted in the main text, with the kernelg n inherited from the Green-function expansion (C7)
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d8dc57fb-ae13-4951-b25f-c54750e88715 · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Unresolved cited work
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 437607e3-c3dc-459d-bf77-6b5e64de1e4e · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields In this case, Eqs
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 132bf10f-0381-4baa-bd1f-51e683aacec9 · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Unresolved cited work
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 2b0802cb-f292-4a96-af31-be5a90782f16 · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Unresolved cited work
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 8ea39153-7885-4d0d-b8ad-fce69647cd6d · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields (D3) into the Green-function representation (24), theη′ integration collapses onto the two spherical interfaces
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 84bdd52e-f9e7-4b23-9ed9-929cc28b6cbb · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Unresolved cited work
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation c5df7c24-1f49-4473-a93f-f7ba764d753c · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Unresolved cited work
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation f652b52a-6961-40fc-b83a-586fff5d2fd7 · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Qi and S.-C
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 418f4028-2591-454f-9a5e-b9a7607fca04 · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Unresolved cited work
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation fd136dfe-c9a3-4cd8-9ba8-f60607c48a60 · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Unresolved cited work
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 960302fa-0e8e-4772-9d8f-549995649d95 · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Roy, Topological phases and the quantum spin Hall effect in three dimensions, Phys
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 98551c02-6309-4b31-973f-fd9047e7fcc3 · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Okamoto, Y
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation eafb9af5-c953-4e6f-8d33-edceaa4ee08a · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Governale, B
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 3f87df6b-02c1-4db9-b52f-7f6086d263c6 · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Unresolved cited work
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 2039608d-1a31-475c-a1a5-2447bdcabf8f · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Unresolved cited work
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 365e28a6-63e9-4916-b0b1-d9117ddb019d · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Unresolved cited work
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ba9a7d36-7660-4a2f-b8a7-5b01857da059 · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Unresolved cited work
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 15c4a359-c980-4b06-9654-f3df9ee0bd52 · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Karch, Electric-magnetic duality and topological insulators, Phys
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation cc6f1bd3-aa04-4695-902b-b2997ccd31f2 · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Mart ´ın-Ruiz, M
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 21177549-c849-430a-b4d8-19313642e6fb · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Unresolved cited work
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 9bceeeb8-73fb-48b8-904e-0614fad9e0c9 · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Unresolved cited work
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 55dd8a38-bd99-4d0b-85a6-d09bb671a9bf · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Mart ´ın-Ruiz, M
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 693a73c1-8635-4065-94b0-399578ca2c54 · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Unresolved cited work
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 21e0491d-cfc4-4060-8596-8dca927bf7f5 · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Malashevich, I
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 5315c203-0657-49ad-8f70-f1c315767d5e · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Scaramucci, E
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 135f073c-0705-421a-bf34-15212b340441 · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Unresolved cited work
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 8db43ae6-3d98-470c-b968-399d76f991bf · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Unresolved cited work
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 7d9f2bd6-3141-41b9-aa27-e0d1876f20f6 · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Goyette and A
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 2810064e-0499-4053-8128-5136bdf15974 · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Unresolved cited work
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation b8368336-fe5e-4f05-a816-c9905fd83ec3 · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Lekner, Electrostatics of two charged conducting spheres, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences468, 2829 (2012)
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 98d5366c-ccd3-43fd-bdcd-fdf6522f5c3e · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Levine and G
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a96d4330-eaff-4732-9236-5beda088c75f · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Batool and I
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 4e67720b-ebaf-4333-b350-58a04bb415ff · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Prodan and P
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 2950ad80-e39e-46e0-8a39-33273d8d878c · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Markel, Coupled-dipole approach to scattering of light from a one-dimensional periodic dipole structure, Journal of Modern Optics 40, 2281 (1993)
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation e3c3c83a-229f-4548-acd3-0f7315b62dec · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Unresolved cited work
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 1054773a-825b-4379-8adf-4c31563bdf70 · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Unresolved cited work
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation f2a54c62-a927-4e84-af79-d5c07f7d407d · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Prodan and P
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 6d4a1abe-9247-4d8f-9741-fe0d42f898ba · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Unresolved cited work
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 11f16c8b-1dd5-4626-9925-1ef9e2d00828 · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Unresolved cited work
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 357c2cad-7356-40b8-8b73-b2e93ba3b2c7 · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Unresolved cited work
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation e295b234-86cc-4de1-86fe-52cb3a185b8d · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Hudlet, M
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ae8c7724-13bb-4b73-9312-ec2579c37980 · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Khachatourian, H.-K
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation e0071243-84c1-4b8d-a367-3b35a40fb340 · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Banerjee, M
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a83e1361-659f-4875-8769-c54b379b3266 · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Mart ´ın-Ruiz, O
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 67b11af2-0391-4745-b800-14c12361406e · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Mart ´ın-Ruiz, M
Reference 63
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d94ca5bc-b1cd-4b62-a483-6c5800eef4e1 · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Moon and D
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation fc809a21-2e94-4fbe-8b00-fb5b4ff05998 · outbound
Electromagnetic response of two interacting topological insulator spheres in external fields Unresolved cited work
Reference 65
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
No inbound Pith citation observations are available.