Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T20:00:15.246313Z
Paper Citation Record · LEDGER
As of 22 August 2026, this Paper Citation Record lists 76 of 76 outbound references and 2 inbound Pith citation observations for arXiv:2507.04213.
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 2026-08-06T20:00:15.246313Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-15T19:39:21.266683Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-15T19:39:21.550688Z
76 of 76 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 89706514-882c-4210-8289-c24403ea7b31 · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Unresolved cited work
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 642f4443-9054-4f0b-87bc-00793889264c · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Resta, The insulating state of matter: a geometrical theory, Eur
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 9104a59e-0af6-4969-8c82-aa736780723b · outbound
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8dd3b0e6-acf6-4bef-ad14-dc32f8c25bd7 · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study T¨ orm¨ a, Essay: Where can quantum geometry lead us?, Phys
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f27c29df-97fb-461c-afca-2194d62ab0cf · outbound
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation ce0e5e37-8f50-4676-b108-6664bd8c1d83 · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Unresolved cited work
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 36426509-417c-4106-8438-d10c84c8b4d9 · outbound
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 953380ee-5a46-4c27-a330-920da10e5b4d · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Quantum Geometric Tensor (Fubini-Study Metric) in Simple Quantum System: A pedagogical Introduction
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 79c86239-680d-4343-9d8b-22c053425ef0 · outbound
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9f03e195-9150-4bd9-96d1-4067b837fbce · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Unresolved cited work
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0cd36135-6475-4398-ba94-be93c83af97d · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Unresolved cited work
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 42689f8e-f09b-49c7-85f8-39297383bf81 · outbound
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a21448e2-7fae-45e4-8114-3dcff87bc50b · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Unresolved cited work
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 90b83f9d-78d0-4899-9bf9-2f7e3c6803f7 · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Watanabe and Y
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6ba446c1-c688-43b9-b720-e2f639935472 · outbound
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1e1ede85-e8cc-48da-b0e3-bf872086bcf6 · outbound
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation b7a24642-c0a6-48ff-ab62-c4d9629f607c · outbound
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f0129c0f-1a67-43d7-9dfa-9f88ff308d8e · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Roy, Band geometry of fractional topological insula- tors, Phys
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dd3c755a-416d-4ca1-9787-c277f3ccd574 · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Unresolved cited work
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation e33f1c6b-9fc5-42fa-ac2a-ed97da19eaaf · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Estienne, N
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c30470dc-3f57-4bc5-9e01-cb8af3dfbc44 · outbound
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c06087d5-8bc6-4769-a519-2d69cfaa1e59 · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Unresolved cited work
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation b94d1369-39ec-4b78-8581-86e0017bc122 · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study T¨ orm¨ a, L
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 97fa8cab-8714-48b6-8abb-1c8457c9e198 · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Unresolved cited work
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2c103500-7e19-48a4-9c52-0cb1492844aa · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Abouelkomsan, K
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e23f5b41-3772-45c2-9e34-731caafc9faa · outbound
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e94b57ae-f603-487c-881b-842290d462ff · outbound
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2bb45b77-0135-4750-9678-36eaef40ec55 · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Aubry and G
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation acb92978-3b5c-48a1-9e76-333f31fa5f3c · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Unresolved cited work
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 2e2f3c2a-c433-4480-8bb2-f8bb36eeea2a · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Jagannathan, The fibonacci quasicrystal: Case study of hidden dimensions and multifractality, Rev
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5a990351-f217-487b-930d-e79d150eba1c · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Unresolved cited work
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7e9835e6-01a3-4b90-91dc-6ff6edb93aef · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Unresolved cited work
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e6235ae8-c815-48f7-a02e-fcf1b517d8b6 · outbound
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 43c7b583-6540-4e2e-b749-2909bb889e57 · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Ganeshan, J
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e705f3c1-e8da-4e8a-8667-b62284b17808 · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Unresolved cited work
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 38381979-4ced-4737-941b-7e2d3c64c1e6 · outbound
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c863b01f-a7fe-486a-b262-0718d5eba4da · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Unresolved cited work
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c25d7a0e-6220-4ae3-bcfe-7e5a00755719 · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Marsal and A
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation de35d2ca-1256-4c53-b9fb-54281114b045 · outbound
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ae0c1c1e-b9b6-47ae-9cd0-730e6a20720d · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study [2, 6, 23, 24, 26–29, 31, 32, 34, 38, 39, 41–73, 76, 77]
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 3d9df1f3-a0fb-47f6-841a-22987e8b18b6 · outbound
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 873d0cf6-76b8-439d-b608-3259d0dbbcff · outbound
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 6bf9be3a-14fd-432e-97a6-c509ea06fead · outbound
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 71091ad7-1dfd-4ba8-9323-c3ac06e157c5 · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Janot,Quasicrystals: a primer(OUP Oxford, 2012)
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 4b2a8eea-8634-4e5c-9f4d-793c38abe1bb · outbound
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f1e462c3-0ba8-4749-bd7f-f6eaf905c654 · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Unresolved cited work
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2920939f-e17e-421d-8501-abd9e6c3480d · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Unresolved cited work
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8e7a29b5-6ac0-4643-84ed-43ac6a835a32 · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Marzari and D
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 68190bef-7611-498c-9059-a6ab17b0d474 · outbound
Reference 49
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 05e4ed26-d381-43e9-b41c-5fc30b8d39f1 · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Unresolved cited work
Reference 50
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a3d658d2-3004-424a-b32f-99ca36185200 · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Het´ enyi, Scaling of the bulk polarization in extended and localized phases of a quasiperiodic model, Phys
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 32ec70a1-202e-41cb-9b3c-c6d0b1474116 · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Thouless, Electrons in disordered systems and the the- ory of localization, Phys
Reference 52
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c08affcd-f1fa-4f22-94e1-e38736361c98 · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Abrahams, P
Reference 53
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f3cac108-357e-4baa-85ab-90e3ddc96109 · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Unresolved cited work
Reference 54
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b5c4040a-40dd-4684-a1c1-90cd3563b1fc · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Biddle and S
Reference 55
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 71856c48-d54a-4961-9746-5a271e53651e · outbound
Reference 56
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b92f30d9-1927-400b-be8b-b3ed50e007f9 · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Onishi and L
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 45d9e708-a861-4957-932f-422b0a63dda9 · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Onishi and L
Reference 58
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e0449130-1c5a-4b51-a573-b782898a25d9 · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Onishi and L
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c5bdcbc8-0a63-45ad-b3ca-1b3c99daf767 · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Onishi and L
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 698fce02-8857-4452-b4bc-3c11d60c9b1c · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Interplay of quantum and real-space geometry in the anomalous Landau levels of singular flat bands
Reference 62
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cfa3251c-27a0-4767-8f83-7f00fd4b3d57 · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Bellissard, Gap labelling theorems for schr¨ odinger op- erators, inFrom number theory to physics(Springer,
Reference 63
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 924576e0-edcd-4bb7-a807-8baaa181821c · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Simon, Almost periodic schr¨ odinger operators: A re- view, Adv
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation fcbad613-f18e-42f1-843c-f73957ee9c71 · outbound
Reference 65
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 6f42c0ca-25d8-4c03-8750-b6ddad32d58c · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Unresolved cited work
Reference 66
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation b7e5431b-e5be-444f-8227-0a2dcc2ab349 · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Ingalls, Octagonal quasicrystal tilings, J
Reference 67
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 4007770c-f4fe-46bc-a462-b454e4e6d841 · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Unresolved cited work
Reference 68
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 9d08e58d-b441-4160-a043-9cd2b3fe762e · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Unresolved cited work
Reference 69
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7348e331-50c3-49e0-a40e-dc32b916eeed · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Unresolved cited work
Reference 70
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 7c4bed5f-135d-4d85-98d3-32890d820dac · outbound
Reference 71
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation fcec212b-39da-4480-9e77-73d3bbc63c39 · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study T¨ orm¨ a, S
Reference 72
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 45723ded-6351-437c-8c4c-5d47b429f2f3 · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Peotta and P
Reference 73
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 882779d7-c3be-4fb7-a1cf-ece63abf0027 · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Quantum metric and localization in a quasicrystal
Reference 74
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4f746ae0-3751-4c9c-9fe1-f70ee1d89556 · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Unresolved cited work
Reference 75
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation db72b1f6-498f-4dd0-a170-4aee0a410786 · outbound
Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study Huhtinen, J
Reference 76
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 90a2c7a5-6a17-433d-9f30-77846a12d206 · outbound
Reference 77
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e6d1da6e-4dc5-4712-9729-216b68102248 · inbound
Quantum metric and localization in a quasicrystal Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study
Reference 74
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation e94e03b4-5dbf-43a8-948e-3a8f9f33ce76 · inbound
Quantum geometry, localization, and topological bounds of spin fluctuations Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study
Reference 49
Source-reported events for the cited work
Unavailable: canonical work link unavailable.