Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T14:43:26.391388Z
Paper Citation Record · LEDGER
As of 21 August 2026, this Paper Citation Record lists 64 of 64 outbound references and 0 inbound Pith citation observations for arXiv:2608.06777.
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 2026-08-15T14:43:26.391388Z
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
A source-named dated measurement, never combined with another source.
Source: cited_works
64 of 64 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 84726cf2-d6e6-4cce-a48f-08bced3ac40d · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology (10) ensures that [A,A ′]∈kwheneverA,A ′∈k
Reference 1
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 375dec67-a5ec-4cc0-bf20-0f6ea58da272 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology The gauge transfor- mations Φi = ΨiRi leaveP i invariant and give Φ† 1Φ2 = Σ
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 f8b532cb-cab0-4546-83ea-00f4b46d925d · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Unresolved cited work
Reference 3
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 ae0f821b-bea3-4f2d-9243-6fb5dc626aa5 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Discretize a closed path ask 0→k 1→···→k L≡k 0 and define the Wilson-loop matrix Wloop =M 0,1M1,2M2,3···M L−1,L (68) whereM i,i+1 = Ψ(ki)†Ψ(ki+1)
Reference 4
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 cdc4960f-472c-458e-859d-14eb248f21f0 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Simon, Holonomy, the quantum adiabatic theorem, and Berry’s phase, Phys
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0700472e-2b16-47d7-9dbb-bbdeab7c24c4 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Unresolved cited work
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e37e2ee6-4a8e-4af0-9d48-db19115da4e8 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Wilczek and A
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation abe7d94f-f8d0-493d-b381-4a4e23e9c411 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Unresolved cited work
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bbdf5934-f9a0-48b9-8751-5c9725d08159 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Unresolved cited work
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation debaec74-f015-4b34-b50d-79f3c0311a12 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology T¨ orm¨ a, Essay: Where can quantum geometry lead us?, Phys
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 26790cd2-af43-42cb-88e0-552909b28619 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Onishi and L
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bf26f4d9-16cf-4527-af71-3b6bbe3f8989 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Unresolved cited work
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 80dd2899-dd21-4df3-9dcb-c65294b0c846 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Jiang, T
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 539f5c2d-47b3-4c39-b87c-af9ac5049919 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Unresolved cited work
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9d15bed7-5930-42f8-b67e-9fb80c40665a · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Fu and C
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 95fe55f1-0aab-4f0c-9b8e-b01de4279f18 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Cuerda, J
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 4a1a71c8-a304-4bdd-9a9e-4216b4fdd1d0 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Unresolved cited work
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 4534c4ed-fc41-449d-a79c-8ef089c6f465 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Unresolved cited work
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f9f68327-93ac-447a-800a-353b76e06e75 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Gao, Y.-F
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 765e3107-f44e-48bc-b3ca-e7cc1e3c704b · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Unresolved cited work
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a48eb6d4-3caf-4b90-825e-4484d861fce2 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Unresolved cited work
Reference 21
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 74d509a9-a347-4465-b821-8c8bd8547bb3 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology 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 4d1cb7c7-d12c-4036-baff-0c7fe3f867f4 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Ahn, G.-Y
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 16af7dc7-3af2-4bd1-b47f-c82c040ab5ea · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Avdoshkin, J
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7e8da68a-da9f-4085-8c51-6a146314d2fb · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Ulrich, J
Reference 25
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 ff63d814-57b6-42e9-b7b9-ad6733f66ed9 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Panati, Triviality of Bloch and Bloch–Dirac bundles, Ann
Reference 26
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 0c139f5a-b5b8-45b4-9021-94f860e1865e · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Brouder, G
Reference 27
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 6a5e40ec-d6c5-4440-8a01-225ad654bb9c · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Bradlyn, L
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 09b760dd-bc96-46e0-9801-c7043dd06c5d · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Unresolved cited work
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3ebea494-0e9d-4ec2-8241-7edfe6e66a16 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Bellissard, A
Reference 30
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 c5a7880d-65d3-4a52-84e5-278816ac51b6 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Unresolved cited work
Reference 31
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 448dd636-3871-4a54-bb64-b673b74914f2 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Shiina, F
Reference 32
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 30bdd034-e523-4c1c-b95d-eae32933f281 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Graf and F
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 62ec69f5-375d-4c9c-b54e-33dfb3f370a8 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Mera and J
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a65af47a-2a6b-4402-8faa-23bcd2167826 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Avdoshkin and F
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 51fcdd6e-eda7-4ff6-ab4f-3626e4c8ab83 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Geometry of degenerate quantum states, configurations of $m$-planes and invariants on complex Grassmannians
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a88cec3e-a18f-4f2b-804e-14402e87d882 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Mitscherling, A
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8e955860-f934-4a1b-a7db-61e571be38c7 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Unresolved cited work
Reference 38
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 d88c245b-dd69-4e02-8af9-86460f5869e1 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Huang and D
Reference 39
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 04fbf716-e8a8-4c05-aaf6-549a8380348c · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Quantum geometry beyond projective single bands
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a4a991c3-108d-471a-ae2e-cdcded8412a8 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Unresolved cited work
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 c7b44a3c-0a63-4aee-9800-421cd9c882af · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Bendokat, R
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 25226d06-7a0b-4abf-ab3f-d5607ebf5d45 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Mera and T
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e37444db-933f-4545-a1b4-b5b999581b0a · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Mera and T
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f03be848-844f-4f1b-9f3e-76b8949483f6 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Huang, A gauss-bonnet theorem for quantum states: Gauss curvature and topology in the projective hilbert space (2025), arXiv:2510.15760 [quant-ph]
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 2ecf7697-1ed1-4a46-a1dc-48bcfc3ef3c9 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Unresolved cited work
Reference 46
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 d2b7b8a1-5963-4b1d-8411-9841de1e3ce7 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Ozawa and B
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 44a089f2-1c94-4e43-91ed-39b88bcfc69d · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Unresolved cited work
Reference 48
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 9b4ec876-35eb-43f5-9e2a-2472f24f0c22 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Unresolved cited work
Reference 49
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 35156a26-d292-46e8-b9ea-b853df41f8cd · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Chen, Quantum geometrical properties of topological materials, J
Reference 50
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 003c725a-2efd-491a-8ad8-0013f346ea64 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Unresolved cited work
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 a422bbe9-43f7-4335-904d-554d37253796 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Resta, Manifestations of Berry’s phase in molecules and condensed matter, J
Reference 52
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 0d8b27fa-b399-4d83-b376-bfcb309e5522 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Batzies, K
Reference 53
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 136ff56c-c0e5-4fbb-9f5b-7f6cbd099bf7 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Bargmann, Note on Wigner’s Theorem on Symmetry Operations, J
Reference 54
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 436c516c-95b3-454e-87aa-124aa984caa2 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Simon and N
Reference 55
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 d99ee7b4-b419-4670-8566-f384d8bfb92a · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Unresolved cited work
Reference 56
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 5976e16e-c297-484b-bcbc-284c1e7c4bdf · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Zhang, B
Reference 57
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation df62517a-9d0b-4f1e-a8d9-766d981a90dc · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Neupert and F
Reference 58
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 36cfb00a-8d9f-40ec-807a-3f0934d27d35 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Bradlyn and M
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 01c3b65e-d955-4096-afab-7b56e0572f28 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Nakahara,Geometry, topology and physics(CRC press, 2018)
Reference 60
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 91c21a11-2fc9-44f9-a55d-b82256fb44ae · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Unresolved cited work
Reference 61
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 a62d5df1-d5e1-440c-a220-41201310cdeb · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Unresolved cited work
Reference 62
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5076ac77-709f-4315-bf44-2d6410f3aa4e · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Unresolved cited work
Reference 63
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation aad621f2-1e9c-4649-a860-9e102b563ac9 · outbound
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology Unresolved cited work
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.
No inbound Pith citation observations are available.