Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-08T06:19:08.664113Z
Paper Citation Record · LEDGER
As of 6 August 2026, this Paper Citation Record lists 73 of 73 outbound references and 0 inbound Pith citation observations for arXiv:2605.06383.
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 2026-05-08T06:19:08.664113Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+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
73 of 73 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 7cac61b2-ba83-4142-8ebe-7010debe4561 · outbound
Genus-protected higher-order topological phases We begin with the class- D Hamiltonian [49]: H(k) =ϵ(k)τ 3 + ∆xτ1 sink x + ∆yτ2 sink y, ϵ(k) =−2t x cosk x −2t y cosk y −µ
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 57f253e8-6853-4f7c-b479-4524a9a47e76 · outbound
Genus-protected higher-order topological phases In our case, we focus on a 180◦ disclination, where the cut edges are reattached af- ter aπrotation [Fig
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 50b2797d-0e32-415b-868e-8fd3e1066858 · outbound
Genus-protected higher-order topological phases We provide examples of this classification in Fig
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 21319688-1981-4966-b91d-31a53e7c4725 · outbound
Genus-protected higher-order topological phases Unresolved cited work
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 69095214-91e1-43dd-9903-60d95c1a1906 · outbound
Genus-protected higher-order topological phases (d) Sixteen distinct GPT phases for a three-dimensional double- torus (g= 2), classified byZ 4
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 4a329ba7-4194-4e41-ae47-9a4a5c428565 · outbound
Genus-protected higher-order topological phases The four independent noncontractible loops produceZ 4 2, corresponding to sixteen distinct GPT phases
Reference 6
Source-reported events for the cited work
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Observation 0a0de5c6-4788-4e75-a9db-f9bbb79ccdb9 · outbound
Genus-protected higher-order topological phases Unresolved cited work
Reference 7
Source-reported events for the cited work
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Observation 0c9a4d60-84ca-4490-882f-5940810205d7 · outbound
Genus-protected higher-order topological phases Qi and S.-C
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 701abc9b-68ed-4e76-a953-8ef41dea4776 · outbound
Genus-protected higher-order topological phases Altland and M
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 9553dceb-8ebf-4e53-bf0d-a6618cd643d8 · outbound
Genus-protected higher-order topological phases Unresolved cited work
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 0eb53c9e-742b-4a53-af14-72b8c97bf25b · outbound
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 53599846-1704-4ce9-ac75-7f3169218356 · outbound
Genus-protected higher-order topological phases Unresolved cited work
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation fa389c16-bd85-4623-a3e9-9fade2d69c64 · outbound
Genus-protected higher-order topological phases Unresolved cited work
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 5d296b4c-4f16-4e46-8204-883786416be8 · outbound
Genus-protected higher-order topological phases Unresolved cited work
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 58a86955-b4b8-473f-b5c3-e6902ee46544 · outbound
Genus-protected higher-order topological phases Schindler, A
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 10fc26e3-23e7-4b82-828d-24d00eee3934 · outbound
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 749ef35c-2644-428d-8343-656526c7fd68 · outbound
Genus-protected higher-order topological phases Trifunovic and P
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 2b030579-5c87-4d3c-a25d-6f498cae377f · outbound
Genus-protected higher-order topological phases Trifunovic and P
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation be295518-6dba-4fcb-a7d4-158fcbb90a89 · outbound
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation dfb7eca8-f1c5-42e4-a709-66d521c9a6a9 · outbound
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 96189fb8-7875-4eac-9eb4-25a2e97f7bb9 · outbound
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 33729c4c-50a7-4f5e-88ec-a4d04ebd74d6 · outbound
Genus-protected higher-order topological phases Ezawa, Magnetic second-order topological insulators and semimetals, Phys
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 9ee4e948-ab94-4c45-b10b-cd676ec5a068 · outbound
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 364493a5-d259-4d4d-8cc3-5653d60951c5 · outbound
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 0a3ac4fb-0f0e-464d-a210-4397931a2d3e · outbound
Genus-protected higher-order topological phases Mixed-order topology of Benalcazar-Bernevig-Hughes models
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation e08e0959-76b7-49f3-ba55-8dacae8c6c9a · outbound
Genus-protected higher-order topological phases Schindler, Z
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 6954b721-243c-43fd-8819-47ae417b7448 · outbound
Genus-protected higher-order topological phases Unresolved cited work
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 26069ffe-f849-4924-970b-3ef82c9b2390 · outbound
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 4a4ddd8a-2e16-47e4-8530-709799d877aa · outbound
Genus-protected higher-order topological phases Unresolved cited work
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation a33ed2b3-aaff-4abe-bcac-b6113d1c7036 · outbound
Genus-protected higher-order topological phases Unresolved cited work
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation b37c17f9-5268-4bd6-ada5-370458dd8c4d · outbound
Genus-protected higher-order topological phases Serra-Garcia, V
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 0a164976-1285-480a-9a23-bd3ba5ace457 · outbound
Genus-protected higher-order topological phases Unresolved cited work
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 7847dcc6-f3eb-46d5-9120-1f0e163abd0b · outbound
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 7d336e47-f36a-47a0-811c-4205225068a7 · outbound
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 9be86470-f4cb-4723-8eaf-b5a0b065ad2d · outbound
Genus-protected higher-order topological phases Unresolved cited work
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 244300a6-60fd-4517-94f2-7e7c08e85ef1 · outbound
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 14a369a4-5ffc-4128-976b-3fb579db6bec · outbound
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 76a73a03-cbc6-48ca-b2e4-4e27fe293594 · outbound
Genus-protected higher-order topological phases Huang and D.-H
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 58ee43fe-1c92-4bdf-8599-10d8bf1d0a42 · outbound
Genus-protected higher-order topological phases Beugeling, A
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 30e3190f-b1da-4f71-9e74-024fc9371c26 · outbound
Genus-protected higher-order topological phases Unresolved cited work
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 161dc2b0-d8fc-4d94-a360-70c2f408aef6 · outbound
Genus-protected higher-order topological phases Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation ca7d01ec-f935-47a7-af94-556d3500c661 · outbound
Genus-protected higher-order topological phases Hatcher,Algebraic Topology(Cambridge University Press, Cambridge, 2002) Freely available online
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 98002af0-40f2-4f2e-aaa4-b180b5a1fa9c · outbound
Genus-protected higher-order topological phases Unresolved cited work
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation b9af8be4-8f7f-4232-a29e-889ebcea7eb5 · outbound
Genus-protected higher-order topological phases Volterra, Sur l’´ equilibre des corps ´ elastiques multiple- ment connexes, Annales scientifiques de l’ ´Ecole normale sup´ erieure24, 401–517 (1907)
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 3c205013-df15-4449-a5ad-da1c643d97be · outbound
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 445931b0-311f-48a4-954c-8850619e09a6 · outbound
Genus-protected higher-order topological phases Thorngren and D
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 80de66e5-9653-41a4-9bef-a45f30157b3c · outbound
Genus-protected higher-order topological phases Kleman and J
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 79ca6eef-5fb9-472a-bd3a-286508be4ea0 · outbound
Genus-protected higher-order topological phases Unresolved cited work
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation bb8ccaae-f07e-449c-b53d-3d76d22db54d · outbound
Genus-protected higher-order topological phases Unresolved cited work
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 485145b4-ecae-40d3-bea9-c31fa7596542 · outbound
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 757a2cd2-10ba-4393-998c-0ce2191cd7a6 · outbound
Genus-protected higher-order topological phases Unresolved cited work
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 11319a67-da58-4b09-8eb7-f189598bd763 · outbound
Genus-protected higher-order topological phases Unresolved cited work
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation eb8a4a9a-0b50-4b01-bc40-f94b2e666140 · outbound
Genus-protected higher-order topological phases Unresolved cited work
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation d2158fcd-d4d1-4f34-a87e-25001cf0e67e · outbound
Genus-protected higher-order topological phases Unresolved cited work
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 45a08918-52a6-4c2e-8f55-72ff5e4adeec · outbound
Genus-protected higher-order topological phases Unresolved cited work
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 335bfc7c-864a-44ed-ae1f-925977b76fc5 · outbound
Genus-protected higher-order topological phases Unresolved cited work
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation f856bb9a-0cf2-40a7-b740-007df62ebde9 · outbound
Genus-protected higher-order topological phases Unresolved cited work
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation e5116827-0e9f-47b4-b930-e457587634fa · outbound
Genus-protected higher-order topological phases Shiozaki and M
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation aa37cdbc-6313-4e81-a666-80b62575d236 · outbound
Genus-protected higher-order topological phases Shiozaki, M
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation cbfd35e0-aabe-4d78-a0d0-da0fbfb9c3b8 · outbound
Genus-protected higher-order topological phases Unresolved cited work
Reference 63
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation f0609943-35ac-4e38-a72a-ffffdfd1e79f · outbound
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 9a8d87e0-1807-44bf-8827-04737bdb3920 · outbound
Genus-protected higher-order topological phases Unresolved cited work
Reference 65
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 23ae98fe-42a0-4c65-9dc5-e89cddf52e7b · outbound
Genus-protected higher-order topological phases Unresolved cited work
Reference 66
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 2b022d3a-32d0-495d-8a53-8dac55acebd2 · outbound
Genus-protected higher-order topological phases Unresolved cited work
Reference 67
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 40d6c1b2-059c-41bf-84ad-060de4b058b7 · outbound
Genus-protected higher-order topological phases Unresolved cited work
Reference 68
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation c3974a23-12c5-4a09-9ffd-1bf46dcb45a7 · outbound
Genus-protected higher-order topological phases Unresolved cited work
Reference 69
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 5ab0847c-75a7-4ebf-9d0e-ffd732026f50 · outbound
Reference 70
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation e1e7e4d7-206e-42ac-a60d-217b0eb7d274 · outbound
Reference 71
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 4af859cc-3a27-43ba-ba90-4b7e07a7e878 · outbound
Genus-protected higher-order topological phases Unresolved cited work
Reference 72
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation ded5f5df-addb-4cba-a3ef-b52a5111200a · outbound
Genus-protected higher-order topological phases Unresolved cited work
Reference 73
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 64d02be7-972e-4191-a784-8aa0c548ec62 · outbound
Reference 74
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 67b1d8cc-0ef2-45f3-b384-189bef880832 · outbound
Genus-protected higher-order topological phases Unresolved cited work
Reference 75
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation a6110619-18bf-4f54-b7f9-d75cfb51b9e7 · outbound
Genus-protected higher-order topological phases Unresolved cited work
Reference 76
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
No inbound Pith citation observations are available.