Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-10T02:05:10.042176Z
Paper Citation Record · LEDGER
As of 11 August 2026, this Paper Citation Record lists 80 of 80 outbound references and 0 inbound Pith citation observations for arXiv:2604.19332.
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 2026-05-10T02:05:10.042176Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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
80 of 80 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation dc86e475-8158-4c16-abd2-e6a615ac3d4d · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Lewenstein, A
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation faa9b80c-ad99-4401-bcbb-cf12a4694adf · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Inguscio and L
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 35323487-c0f5-4a15-b1ca-f96a394f60c8 · outbound
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 4beffec0-682e-49cc-bcde-730b79251331 · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Yago Malo, L
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c29c62dd-64b7-4a91-80a8-06f0a545fa47 · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Aidelsburger,Artificial Gauge Fields with Ultracold Atoms in Optical Lattices, Springer Theses (Springer Cham, 2016)
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 568e1802-7d47-4e9a-ae5b-d7b85f6b9763 · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Aidelsburger, S
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 40179996-7c49-4a59-853c-f561b5e4ac46 · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Galitski and I
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6aa50068-2b53-4bd8-abfb-e46f4781f0e5 · outbound
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 32b26016-2002-4f80-a94f-ad3fd620da5d · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Eckardt, Rev
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c3926c14-2a2b-442a-a830-d5728e87f76e · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Weitenberg and J
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5645745c-b63d-4966-bc96-21afa9341342 · outbound
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 26fbbe9a-5b50-40a6-87b3-bc1cd1339ecb · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Unresolved cited work
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 190661e6-e5ef-4b82-aa45-aa1f37e4060d · outbound
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d4d26a6b-0ff2-4425-b6ee-f9ea5ec884e9 · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Unresolved cited work
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 34e159b0-624c-4733-89c7-aef1a95dca49 · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Unresolved cited work
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5e486092-238b-4587-aec2-b567b6ff339c · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Unresolved cited work
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1142d0e2-2bb3-4fd4-8a20-f10b8885e325 · outbound
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a9f932b4-5bb9-4e21-a782-caeadbfb8541 · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Hubbard, Proceedings of the Royal Society of London
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation febc6f97-895b-4edc-915a-f40c9928dae2 · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Unresolved cited work
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 0f62079e-3824-4c28-854d-ce30968884db · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Aidelsburger, M
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2e016a71-3c26-41e4-96bc-3ff30d1cc22f · outbound
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation af4b1815-d364-49f7-8c30-9f51d5984e3b · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Unresolved cited work
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 280437cd-40b3-4921-8649-1cdbc4009d13 · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Unresolved cited work
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a36ef3bb-eea6-4387-a3fc-dad97b3c5117 · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Aidelsburger, M
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation ace34bb8-695a-4521-907a-d1798ca6e16f · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Unresolved cited work
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation ed5807fe-7902-48bf-ad4e-051710434f81 · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Unresolved cited work
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 9c6c81f6-449a-46fa-9dfd-ebb346a2ff05 · outbound
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1c12fd28-63d3-49dd-ae04-0ad7e139156e · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Unresolved cited work
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 169e706e-426b-4937-a501-dfb72e8be8e6 · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Unresolved cited work
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 78a567b8-d9cc-4ce3-b08c-a771bf7b645a · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Unresolved cited work
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6fb66b34-bab6-43cb-843b-c70ae9c886ff · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Unresolved cited work
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 72601fb8-ada5-4067-bc27-3ee47657ebce · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Mazzucchi, L
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c3b396af-8e3c-4b9e-9fad-ffbc3ee0dfb1 · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points El-Batanouny,Advanced Quantum Condensed Matter Physics: One-Body, Many-Body, and Topological Per- spectives(Cambridge University Press, 2020)
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 87139b3b-b481-40f1-9c03-b17827703e96 · outbound
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1c56f137-337b-497c-8335-62a1f008691f · outbound
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5ef0801d-5063-4692-9f48-95312625d9d9 · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Unresolved cited work
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f3e6fa8b-5a4b-46ab-9f90-466557fdee6c · outbound
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 47ed6269-33fc-4b1d-938f-b4b57141eaeb · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Unresolved cited work
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 32092b69-ce60-4319-b4da-6455da9678f2 · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Unresolved cited work
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 24d53e8e-506f-4fd5-8dd7-2b669e5bd774 · outbound
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a5718e97-0343-4464-9cf6-d52220a22188 · outbound
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6425aca8-38fb-4671-838d-f9d5ca3a5618 · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Unresolved cited work
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation fb387f1e-adfe-49ae-8d4f-801f53e5d20b · outbound
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 71396d98-35a8-412d-bf6e-4368692506da · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Unresolved cited work
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7a23854b-da3f-4a31-840c-b23a54b737a6 · outbound
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 50460e3c-a351-4678-ad76-b4cae55b0b97 · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Peotta and P
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 42f71489-1458-467c-b94f-fd399649dc19 · outbound
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 692c0413-a0a6-4da0-944c-7663612906cd · outbound
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 8df08ee8-ccf1-4ada-bd18-f6acbf822aa3 · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Kunszt and A
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b13c9016-2c0b-4de1-9c9b-a2b524fbc56c · outbound
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 4a2988d5-7897-413d-96d2-e2214cb12b11 · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Koshino and H
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation efd60e2a-63ca-49e2-80d7-2732ab724c7b · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Unresolved cited work
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 89885839-ac6c-4bfe-99c4-8d13854c375c · outbound
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 237dceeb-68e8-44c8-9268-9a4e70ac8ad4 · outbound
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 45a8c4a7-ee8d-4112-9a9f-5e07036df73e · outbound
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 507b9f16-bc4b-405e-abdc-6ccef1b13d79 · outbound
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6618f781-1529-42d1-b7b7-73b001f8fe7b · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Fontana and A
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 3cd49cb5-d63b-4207-b6fd-f582f906fb03 · outbound
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7ecf2467-647c-4dce-aa8e-49748d8d8ae3 · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Unresolved cited work
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1788bd0c-31c6-4946-9def-3a9a5ca5809e · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Unresolved cited work
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 17bb6cfe-bdc3-4ca0-87ba-8eb86a95ceae · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Unresolved cited work
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 482c5176-56e9-44cd-9938-f736a9475944 · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Grosso and G
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 08033305-1745-4ed4-979a-c8a0af0208df · outbound
Reference 63
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d435e1a2-eb63-4e81-8b9c-31d15d81b503 · outbound
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 06669892-9dc4-4b64-865c-ee0106372755 · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Altland and B
Reference 65
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a04150ba-382d-40fa-8d28-5cbc2961aaea · outbound
Reference 66
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1b49c2a3-229a-4ca3-a7bd-96678e089d66 · outbound
Reference 67
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 80c5e567-0b7b-4f8c-b92b-1b3a19847d7e · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Geometric Superconductivity in 3D Hofstadter Butterfly
Reference 68
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 0c56dffd-2c97-499d-be8d-7346e4086799 · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Armijo, Pacific J
Reference 69
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a890e8c0-78d4-44c1-ab63-12807b7935a7 · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Unresolved cited work
Reference 70
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f4660dec-8f27-41b8-b37d-19d9cbd2bc9e · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Unresolved cited work
Reference 71
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation be2b562d-e665-4ba1-bfb9-9428f5983185 · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points The necessary condition for this step is that the Jacobian matrix must be invertible
Reference 73
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation fbe6d612-1b83-43c1-80e7-f78bff65785b · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Unresolved cited work
Reference 74
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a9415c5c-2241-4929-9823-802c593b7e81 · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Unresolved cited work
Reference 75
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 44c8522e-3559-4445-963d-3405648b1922 · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Unresolved cited work
Reference 76
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 0b6fb588-1d47-4024-a011-15098d9a1e29 · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Unresolved cited work
Reference 77
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5d36a681-f8c0-4b0e-8006-a778bd46bda9 · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points ||F(xk+1)||<(1−τ α)||F(x k)||(C7) andτ= 10 −5 is a small parameter
Reference 78
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 16250c04-80f7-4ecc-ba46-929921993c6a · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points (C7) itself, combined with the condition||s|| k < δx for the precision of the Newton solution
Reference 79
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 617afb24-29f9-4d45-a585-5562fa36b991 · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points Unresolved cited work
Reference 80
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7ce0454b-1f2b-49b9-a484-99da83aabedb · outbound
Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points The scaling form is expected to be valid asymptotically close to Φ c
Reference 81
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
No inbound Pith citation observations are available.