Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T00:15:14.216074Z
Paper Citation Record · LEDGER
As of 7 August 2026, this Paper Citation Record lists 55 of 55 outbound references and 0 inbound Pith citation observations for arXiv:2608.02746.
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 2026-08-07T00:15:14.216074Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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
55 of 55 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation b56158e7-a817-4131-a2fb-da3ace48656e · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition name + Model number
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7c2b3242-535d-44a3-9cd5-cc7c12887eb7 · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition They are introduced here so that the projected matrix elements in Appendices B–D can be traced back to a definite microscopic coupling rather than treated as abstract parameters
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation a0539900-9b7c-46ce-b4c4-4e77486dfaa3 · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition 2 and the additional LR–NN control
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b0a0778e-46af-409d-bb9b-28e14ba8e58b · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Unresolved cited work
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ba5d3869-ac94-4dc3-9577-96bd810236be · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Unresolved cited work
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 581ba4e4-0359-4d7d-b73e-46d471e7efd2 · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition (E2) or Eq
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7b366e10-0522-405f-b073-a25f2c9c7ab1 · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition This produces the experimental analogue of the main-text curvesN c(D) for each ladder
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 344ae8a7-ced0-4539-abfd-6a803f33dac2 · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Unresolved cited work
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 60054a11-2ee6-4bc0-a730-478f8330363c · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition We consider two forms for the coupling blockH⊥ between the legs
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation df38e889-f5d4-4d88-b759-620a351a45ec · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Top-2” and “Top-3
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5a6c9ac6-0d27-43ff-bb05-d014026f7723 · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Top-2” and “Top-3
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 51add15e-0748-4cc2-a812-cad627f9e02d · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Unresolved cited work
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3be79c17-0f6b-4950-8a1d-8bcf939a6bcd · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition The contrast between these two gaps is one of the two mechanisms behind the logarithmic–algebraic–scale-covariant hierarchy
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation fb08358b-48ca-41db-bab2-f6a0a6134e49 · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Unresolved cited work
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation afe5e948-5c78-487f-af0f-19e10fa58c9b · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Unresolved cited work
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c25450bc-4d91-4779-aa83-03db84d51861 · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Unresolved cited work
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 008755c9-889b-40fe-a071-03155b70fed3 · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition (17) and its logarithmic limit Eq
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation dc990ef5-e3da-4564-886a-b7ef505826c7 · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition (22), including the common effective prefactorsη0 andη 1 used for all Model-II curves
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation be6647c0-6804-43fb-b402-bf3bf832b0a8 · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition (33), (36), (38), and (41)
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 72ea038a-862a-4a11-9a5b-9e235b9c66b0 · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Unresolved cited work
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 31c57a58-43ae-461c-9bca-e6ce7bb0dfb9 · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Unresolved cited work
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation bad662c7-4490-440a-a2f3-d3d78c30e38c · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition 2 and the ordering map of Fig
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c95593f5-4161-4b93-a40e-1f12d09872c1 · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Unresolved cited work
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 165a1336-760e-47df-ad17-5aa5ca8ad522 · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Unresolved cited work
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation be7982db-f102-436b-a4d5-20e1c364c3fe · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Unresolved cited work
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation de85aaab-d667-4a96-bb3e-4bf124f949e2 · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Unresolved cited work
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 80b2e3c6-e925-42d5-94d9-7c83b64a5d1f · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Unresolved cited work
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ecd2e303-0e6d-4f26-b400-969d4a0f1071 · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Unresolved cited work
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation cd91a062-d95d-4a08-85c9-cb421ea32ec7 · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Unresolved cited work
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 0ed601f9-b8a1-471c-a601-1ddd87627fc1 · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Realization of a non-Hermitian Haldane model in circuits
Reference 129
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e95fc9fc-136b-4d38-ab28-a1f307ef237e · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Simulating Condensed Matter Physics on Quantum Hardware
Reference 130
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2c64cd01-fdb8-4933-92c2-1a0cc2c2a698 · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Smith, M
Reference 131
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 670cc1c8-8947-443b-8c55-ae18df0c0175 · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Unresolved cited work
Reference 132
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 123916ed-56d1-49e5-94c4-5af018bbdc51 · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Unresolved cited work
Reference 133
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3c4adbf6-1977-463a-a526-b51578816e83 · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Kirmani, K
Reference 134
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0c52d7bb-739e-4285-8869-7263f8ffdd72 · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Frey and S
Reference 135
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 61f1ddd4-a47e-463b-a0e1-4f206953faa9 · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Chertkov, Z
Reference 136
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b302a6ed-4d67-4abb-a877-39565e98f127 · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Unresolved cited work
Reference 137
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c85fce80-9af8-4603-a9ea-924dc3863ee6 · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Unresolved cited work
Reference 138
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1af0f735-4d75-4202-b810-10704e87574e · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Unresolved cited work
Reference 139
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 8a704daa-6e27-4cfb-95b6-574b0d5dd38a · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Non-Abelian Topological Order and Anyons on a Trapped-Ion Processor
Reference 140
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 28972690-f02a-4d6c-8eb0-e05509c6acbb · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Unresolved cited work
Reference 141
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2dabb65a-c279-4905-ab80-bf9dd833e7b1 · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Quantum implementation of non-unitary operations with biorthogonal representations
Reference 142
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 07de5ce5-682a-4463-a8c1-14929f1761bf · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Unresolved cited work
Reference 143
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e9f47d1f-f5b4-4d1b-8114-8e78464d5a3d · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Interacting non-Hermitian edge and cluster bursts on a digital quantum processor
Reference 144
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 027794ba-8929-4611-a73b-30cacaf9ae41 · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Unresolved cited work
Reference 145
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8c3f18ed-731b-4090-8f82-64a73c5e727c · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Zhang, J
Reference 146
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5d6858e5-7614-4bca-ae8c-6bb1e12769fa · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Chen, S ¸
Reference 147
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3cf70530-18be-4866-8fd8-475c9a78412c · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Hodaei, A
Reference 148
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b7532072-6d3e-481f-aea2-e58ea0d71a1e · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Ashida, Z
Reference 149
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ca18804a-ca29-4ccd-a443-0ebb75b55c23 · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Unresolved cited work
Reference 150
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 849b1100-3ecc-4e2f-a9d2-2f67d052ff45 · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Hsu and T.-W
Reference 151
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f27d2d28-0763-428c-817a-a362ff45bf5c · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Unresolved cited work
Reference 152
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4b016e7b-7407-4770-b596-8618077c0ffe · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Ghosh, A
Reference 153
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 8e6b1d0f-4e5b-4589-9083-bb485bc52401 · outbound
Nonlocality-induced critical-length hierarchy from non-Hermitian competition Betancur-Ocampo, B
Reference 154
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
No inbound Pith citation observations are available.