Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T10:29:06.482723Z
Paper Citation Record · LEDGER
As of 8 August 2026, this Paper Citation Record lists 72 of 72 outbound references and 0 inbound Pith citation observations for arXiv:2506.05179.
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 2026-08-07T10:29:06.482723Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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
72 of 72 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 30653acc-d461-4f76-b0e2-15449e85bab3 · outbound
Delicate Wannier insulators For concreteness, we assume that the occupied Bloch eigenstate|𝑢val(𝑘𝑥)⟩ is𝑠-like at𝑘𝑥 = 0 and 𝑝-like at𝑘𝑥 = 𝜋 (the case with flipped eigenvalues ofP can be treated analo- gously)
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 9fa0c776-0c02-4b28-a4fd-9be54c5abb95 · outbound
Delicate Wannier insulators dartboard
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 9f2448a3-4018-44c1-a29d-a2617afaabaa · outbound
Delicate Wannier insulators Unresolved cited work
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 83d3ad10-eeeb-46ff-bcf9-5747d7b031ba · outbound
Delicate Wannier insulators Unresolved cited work
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation b14d8d3c-8924-41ca-a9fb-4047231d4c06 · outbound
Delicate Wannier insulators Unresolved cited work
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ab90c646-6f77-43fe-a1e8-2dca043dcab2 · outbound
Delicate Wannier insulators Unresolved cited work
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cfd4ad04-833a-4daa-88a8-c241cba24260 · outbound
Delicate Wannier insulators Unresolved cited work
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation b3e86477-4ad6-4fbc-8534-b1b7bd93feca · outbound
Delicate Wannier insulators Kruthoff, J
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8330c662-e2df-4f05-9241-5857fd12cd32 · outbound
Delicate Wannier insulators Bradlyn, L
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation aa4c11b2-5161-419b-affd-3c1a250e5555 · outbound
Delicate Wannier insulators Elcoro, B
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d6b34f51-78a8-4299-80c7-4e83314e4142 · outbound
Delicate Wannier insulators Unresolved cited work
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation fa8b22e3-7491-47c3-a2b1-2292fc1b69cc · outbound
Delicate Wannier insulators Lapierre, L
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a0bb74e0-e376-4fdb-8192-1cd4b883ec9c · outbound
Delicate Wannier insulators Corbae, J
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 83cb5356-58cb-4c76-a71e-9fec85b44fa8 · outbound
Delicate Wannier insulators Okuma and M
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 677ca50f-3301-4741-92a3-a0c6e77c2eb5 · outbound
Delicate Wannier insulators Ohyama, Y
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 1e1a36cd-401d-48e7-901f-cf98550b38ef · outbound
Delicate Wannier insulators Schindler, A
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 168588c4-795b-4626-a2dc-03dbe6d18ade · outbound
Delicate Wannier insulators Unresolved cited work
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 9f3bfec7-e367-41b1-b450-622e4fecd302 · outbound
Delicate Wannier insulators Nelson, T
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f1e3703d-7053-4da9-8961-6659f4435b94 · outbound
Delicate Wannier insulators Unresolved cited work
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 0b500f07-b407-4182-927d-2fe94d78170d · outbound
Delicate Wannier insulators Lapierre, T
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 500a49dd-f60e-4e27-abfd-c1f369d6f928 · outbound
Delicate Wannier insulators Khalaf, W
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 9761fdf6-312c-4a3d-b9fb-c6863073344d · outbound
Delicate Wannier insulators Bouchiat, S
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation c46f6c6c-5ffa-4e7a-ba7f-91218aae1f90 · outbound
Delicate Wannier insulators Unresolved cited work
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 644ef43c-bcc2-4cd8-81b5-45320785791e · outbound
Delicate Wannier insulators Unresolved cited work
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 31f189be-247d-43ae-9549-04db76ad3cee · outbound
Delicate Wannier insulators Unresolved cited work
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d491c3f3-0e3e-47a7-b418-9bcca936553d · outbound
Delicate Wannier insulators Unresolved cited work
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 457ce9c2-344f-4bf0-aeb4-d17e07b8e3b5 · outbound
Delicate Wannier insulators Unresolved cited work
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 7398a411-f8f2-4755-a674-ed460b23fd93 · outbound
Delicate Wannier insulators Unresolved cited work
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e3db4b98-2e18-4f12-ba63-e9b0c1a143ab · outbound
Delicate Wannier insulators Alexandradinata, J
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d76e8f23-5b46-4d25-90b6-374d8d753f98 · outbound
Delicate Wannier insulators Unresolved cited work
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation c62ea9c6-1f30-489e-8e9e-b3d8ecc2a923 · outbound
Delicate Wannier insulators Unresolved cited work
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 53c2a6cf-2b4f-4cdb-bc79-37f866cbd4d6 · outbound
Delicate Wannier insulators Cano and B
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 0162c408-b77c-4d4f-ad09-b7aef3358148 · outbound
Delicate Wannier insulators Unresolved cited work
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f6e5fa9f-7f58-48c7-bb57-8e6b8d51b050 · outbound
Delicate Wannier insulators Nelson, T
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 76e009dd-dc24-43eb-b0bf-88a1a76bd3b2 · outbound
Delicate Wannier insulators Unresolved cited work
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 99c8aec8-4886-40c3-a793-cb768e1b9317 · outbound
Delicate Wannier insulators B 108, 125101 (2023)
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation ead0a50d-4a9d-4701-a3ef-85e0cce622c4 · outbound
Delicate Wannier insulators Unconventional topological phase transition of the Hopf insulator
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f8407144-c376-4759-9fb3-735ffc2513b2 · outbound
Delicate Wannier insulators Sun, S.-C
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 3baa0825-9884-407f-bc98-93ca7473af2a · outbound
Delicate Wannier insulators Unresolved cited work
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 4aa1242e-70bb-4073-8cb4-ad9e1d12df8b · outbound
Delicate Wannier insulators Bouhon, Y.-Q
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 7f284e8c-7c20-400f-bfc0-938221ba86d0 · outbound
Delicate Wannier insulators Zhu and R.-X
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 3553530a-e1ca-49c9-a3f8-2ef42829d072 · outbound
Delicate Wannier insulators Unresolved cited work
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 16ab954b-deda-47b7-b482-dbe0133f8d80 · outbound
Delicate Wannier insulators Chen, Y.-P
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 2d0e51ea-2e32-47c2-ac24-4106ed345c2a · outbound
Delicate Wannier insulators Unresolved cited work
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 25a83185-c9bf-4513-b548-92ede08f74dd · outbound
Delicate Wannier insulators Unresolved cited work
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation fe064a76-cab9-472a-b65c-fd9580be11a6 · outbound
Delicate Wannier insulators Observation of returning Thouless pumping
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 930e1c70-58de-4fa8-8691-8a7b4fb04e72 · outbound
Delicate Wannier insulators Unresolved cited work
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 6d639961-749c-40da-aa05-84b54d252311 · outbound
Delicate Wannier insulators Unresolved cited work
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 67bd89ed-2adb-4241-83c6-02457a680249 · outbound
Delicate Wannier insulators Qi, Y.-S
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e9e23bef-0182-4563-89ba-685f0a168a76 · outbound
Delicate Wannier insulators 62, 2747 (1989)
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation c663f0c4-28d8-4ec2-9537-8f67dfd9d378 · outbound
Delicate Wannier insulators Alexandradinata, Quantization of intraband and interband Berry phases in the shift current, Phys
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 23c7cd49-1636-4c9b-9f6e-266ea8c8617b · outbound
Delicate Wannier insulators Unresolved cited work
Reference 52
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 325c7a9f-0fc6-40d4-bbb4-6e58fbb6211b · outbound
Delicate Wannier insulators Unresolved cited work
Reference 53
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5b00921d-57c4-42a7-9ad5-c09b48b40c2b · outbound
Delicate Wannier insulators Marzari and D
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 260eb0a6-e922-425e-94ca-0680bb2fbf68 · outbound
Delicate Wannier insulators Trifunovic, Bulk-and-edge to corner correspondence, Phys
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e64c4767-5a6d-4c44-92f1-82ba103c4eaa · outbound
Delicate Wannier insulators Fidkowski, T
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 37f58166-0421-4586-8278-c0a53ccbf451 · outbound
Delicate Wannier insulators Unresolved cited work
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 7874e4f5-6552-4657-b32e-5d35112a30e1 · outbound
Delicate Wannier insulators Geier, L
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 2c91bf7a-c684-4dd6-ab51-c03f0a416bdc · outbound
Delicate Wannier insulators Alexandradinata,Spatially-protected Topology and Group Cohomology in Band Insulators, Ph.D
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation fc9fe8af-cbd0-4a47-b061-ec8b99d55357 · outbound
Delicate Wannier insulators Takahashi and T
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 228cafc1-be1d-4b3f-bd9a-c6b41fd1904e · outbound
Delicate Wannier insulators Hatcher,Algebraic Topology(Cambridge University Press, Cambridge, 2002)
Reference 61
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6ab423b3-572b-4c4a-8d9d-20c87d1df8f5 · outbound
Delicate Wannier insulators Unresolved cited work
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation fdc66a09-67c3-4591-9028-7fe59eddddf6 · outbound
Delicate Wannier insulators Appl.21, 867 (2000)
Reference 63
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 82f18238-8d02-4cf5-8e24-e5f627d91893 · outbound
Delicate Wannier insulators Bzdušek, Z
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 6f15036e-eaad-49da-b356-b88d2b1c1c1a · outbound
Delicate Wannier insulators Zhu and A
Reference 65
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 885b6b31-7a57-4080-8753-0060d82c511e · outbound
Delicate Wannier insulators Unresolved cited work
Reference 66
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3ad7d467-193d-4453-b782-e01d72783970 · outbound
Delicate Wannier insulators Bouhon, T
Reference 67
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 9ee593b4-e9d8-49c8-88a7-d490e6f79fb0 · outbound
Delicate Wannier insulators Slager, A
Reference 68
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 874740e9-be05-4ff7-b54d-6ad3783861b7 · outbound
Delicate Wannier insulators Davoyan, W
Reference 69
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 1f1c1552-5c29-4047-8af0-d176aa0f59ea · outbound
Delicate Wannier insulators Bzdušek and M
Reference 70
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 6e0dfb9c-32a4-4897-becc-504e40aeaf24 · outbound
Delicate Wannier insulators Unresolved cited work
Reference 71
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 284c152e-6558-4abb-bad7-022cf3d57d00 · outbound
Delicate Wannier insulators Alexandradinata, X
Reference 72
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
No inbound Pith citation observations are available.