Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-21T21:35:48.647825Z
Paper Citation Record · LEDGER
As of 6 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 1 inbound Pith citation observation for arXiv:2510.00587.
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 2026-05-21T21:35:48.647825Z
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, observed 2026-05-08T06:19:08.664113Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-11T21:16:11.764415Z
56 of 56 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation f7d5f55d-3ce9-45a4-a99e-cd1b58921236 · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Unresolved cited work
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 953fc14d-b499-4985-b114-f58ef9c66906 · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Unresolved cited work
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 23ea347d-1d94-4ef4-bb10-fb0db93dcc64 · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Unresolved cited work
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 141a15f2-da20-4220-9cb6-893e247174ca · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle 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 b0d7f38f-1e41-44ce-a38b-3fff147d2bb0 · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Senthil, L
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 25e96db7-31c9-4988-b711-603db33c4c25 · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Unresolved cited work
Reference 6
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 b21fedd6-0ab4-4b42-9b99-24e020032ada · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Unresolved cited work
Reference 7
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 6217cf53-ad98-4399-8bfb-212fba8ed355 · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Unresolved cited work
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 8d8e17f4-5494-47cb-ac43-2bd96d5f81bf · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Unresolved cited work
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 ce732478-8a43-4a35-9e30-80dd908cad4d · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Xu and G.-M
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 8ec53f77-46d3-471c-8222-cc8e1d89cd36 · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle He, H.-Q
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 c5dbea60-51cc-40e9-9f98-ba074b6966de · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Grover and A
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 bfa72e39-ef15-4f3a-97a1-f4e60c0ef439 · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Lu and D.-H
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 4ba39f62-7794-43bc-8c58-63084c80dd5d · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Verresen, R
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 7e513eb5-1b90-4bfe-8f08-ec93a20b0226 · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Unresolved cited work
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 feff6f07-a57c-4b1b-a5ea-f327eaea128b · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Unresolved cited work
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 7c7a4614-551a-4718-8521-b78dcb1d0496 · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Topological versus Landau-like phase transitions
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 d94b2685-66d4-4a42-a042-54475570ae24 · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Dupont, S
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 d3845b81-e119-40e8-a9bc-9a08671f0566 · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Unresolved cited work
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 91929890-8ed0-4f90-92ac-b08177228b8a · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Scaffidi, D
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 b97cb21f-f747-421b-bae0-571dc6f1a142 · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle You and Y.-Z
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 109e5274-a2e3-4c0f-9233-ad58d669ad51 · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Unresolved cited work
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 35bdac14-ffd2-4fd9-8d3d-d92dc0b5598f · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Tsui, H.-C
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 2561de27-3ac2-4b3c-ad34-05c7fd537704 · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Tsui, Y.-T
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 0ba81617-ad47-438f-a4c8-256ffdd295a6 · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Unresolved cited work
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 833ac9a1-5edc-4de9-8663-539ce0c3d4de · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Tantivasadakarn, R
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 3ea3ed2d-dd66-4978-8321-b45fb294fd6f · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Verresen, R
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 81f48204-29fc-47c8-a70e-71eb0a65ee5e · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Ji and X.-G
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 fb38ec35-3d5a-47bb-9d27-f843c2862cc9 · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Topological Holography: Towards a Unification of Landau and Beyond-Landau Physics
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 2aaecbfc-d077-40a5-883d-bd133e5a1ead · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Topological holography, quantum criticality, and boundary states
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 84a47f7b-0716-4e84-a376-c17a059cf241 · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Boundary-bulk relation for topological orders as the functor mapping higher categories to their centers
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 c6eda712-eccf-4cb6-a798-6b87978ba465 · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Chatterjee and X.-G
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 c0100566-ae0c-4f6c-8c66-3de2389744f9 · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Lichtman, R
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 d8af68b5-92a3-4bf3-b527-6dfd7a7f3818 · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Asymptotic density of states in 2d CFTs with non-invertible symmetries
Reference 34
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 24d43e34-4111-44db-ae68-3d1d064e4ce5 · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Gapped Phases in (2+1)d with Non-Invertible Symmetries: Part I
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 c98780ad-2233-49b3-bc9b-4f63012d1a43 · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Unresolved cited work
Reference 36
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 e06e0d80-bf04-4812-9cb7-bb4e3dc3a691 · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Modular transformations and topological orders in two dimensions
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 ea53214f-5f8f-41ac-8b55-549aa7333659 · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Manca, S
Reference 38
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 635c38b9-58e5-483b-b99c-b4b9746adb5c · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Binder, Finite size scaling analysis of Ising model block distribution functions, Z
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 24cc5771-bfcd-4930-a6a0-c0e95cce92e6 · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Zhang, T
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 9bdbbd6b-270b-4620-a646-f0316471d287 · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Johannson, Dehn twists of 3-manifolds, inHomo- topy Equivalences of 3-Manifolds with Boundaries (Springer Berlin Heidelberg, Berlin, Heidelberg, 1979) pp
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 bd734272-f201-4239-a71d-f0ae0a3c1cab · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Mapping class groups of non-orientable surfaces for beginners
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 358a33ec-d3e4-44df-88dc-cb9af707a8c5 · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Mapping class groups of circle bundles over a surface
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 2230ef1b-3e05-453e-a247-4e6b44bdea51 · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Bulk Excitations of Invertible Phases
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 e0c72d67-fab6-4ece-a385-49486ab56c2b · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Kawahigashi, A remark on gapped domain walls between topological phases, Letters in Mathematical Physics105, 893 (2015)
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 a777d8b3-9dd4-444e-a8ad-747f4e8da139 · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Science338(6114), 1604–1606 (2012) https://doi.org/10.1126/science.1227224
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 c47a5d04-4c43-4f17-a970-068f96cd3440 · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Wen,Quantum field theory of many-body systems: From the origin of sound to an origin of light and electrons(Oxford university press, 2004)
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 daddf470-4ae1-401c-a02c-a21d4db0b7c0 · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Unresolved cited work
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 a8c649a2-8715-435c-b952-c1648fc75478 · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Zhao and X
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 0c9635a0-3520-42f0-a591-ab73a3519f8b · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Unresolved cited work
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 2c8a58e3-f493-4871-b997-278e5b7fb2cd · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle 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 6515b3ea-5cb8-4b69-9219-03f56520731f · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Journal of High Energy Physics 2015(2), 172 (2015) https://doi.org/10.1007/JHEP02(2015)172
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 dc9bf4bb-4256-404f-8f75-65e4341429d5 · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Roumpedakis, S
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 5f73412b-017b-4cfc-8347-968ca15c4e5c · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Tantivasadakarn and X
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 1fbe1d3e-6edc-4397-8617-f136540c5ffb · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Kitaev and L
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 20f78f4f-1496-40c3-895c-a833ddafb87f · outbound
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle String-net condensation: A physical mechanism for topological phases,
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 161dc2b0-d8fc-4d94-a360-70c2f408aef6 · inbound
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.