Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-03T14:40:16.922352Z
Paper Citation Record · LEDGER
As of 7 August 2026, this Paper Citation Record lists 76 of 76 outbound references and 1 inbound Pith citation observation for arXiv:2512.19690.
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 2026-08-03T14:40:16.922352Z
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 2026-05-07T15:03:31.539860Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-12T00:31:19.950654Z
76 of 76 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 739895a5-8835-4e60-b63d-55fe7f0acbd9 · outbound
Orbital magnetization reveals multiband topology Boyd, Nonlinear Optics, 4th Edition, (Elsevier, Amsterdam, 2019)
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cecdf283-b520-4d20-ad37-1269053bd382 · outbound
Orbital magnetization reveals multiband topology Quantized integrated shift effect in multigap topological phases,
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e6248584-d13d-4a85-9c8b-4ab7a5a73075 · outbound
Orbital magnetization reveals multiband topology Multistate ge- ometry of shift current and polarization,
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a5957526-1884-4fc3-9bed-4602aa1c0ef4 · outbound
Orbital magnetization reveals multiband topology Enhanc- ing the hyperpolarizability of crystals with quantum geometry,
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ef3bc0ee-1d52-4caf-ad05-eca90790d70f · outbound
Orbital magnetization reveals multiband topology Superfluidity in topologically nontriv- ial flat bands,
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d2a86988-d8e3-4d25-a117-559d92c55eeb · outbound
Orbital magnetization reveals multiband topology Topology- bounded superfluid weight in twisted bilayer graphene,
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3ef906d2-6ae4-4e69-8deb-ecfbc20cc110 · outbound
Orbital magnetization reveals multiband topology Fragile topology and flat-band superconductivity in the strong-coupling regime,
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7ad32dd7-f138-4c4d-96e2-99d443c58982 · outbound
Orbital magnetization reveals multiband topology Superfluid weight bounds from symmetry and quantum geometry in flat bands,
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4cc80e75-7c4c-44ee-a70e-aa7be27ce1b1 · outbound
Orbital magnetization reveals multiband topology Light-induced switching between singlet and triplet superconducting states,
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3d625310-05e4-47c1-a8d0-792ca648d12b · outbound
Orbital magnetization reveals multiband topology Optical sig- natures of Euler superconductors,
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6fece07f-c8bd-4853-94c1-27ba8b96ef73 · outbound
Orbital magnetization reveals multiband topology Quantum geometric bound for saturated ferromagnetism
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a471ea6d-0441-406e-b6f1-2c7ff255515e · outbound
Orbital magnetization reveals multiband topology Revisiting the magnetic responses of bilayer graphene from the perspective of quantum distance,
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7c476e36-afff-41c0-a69d-526cc8cc99fe · outbound
Orbital magnetization reveals multiband topology Ferromagnetism vs. Antiferromagnetism in Narrow-Band Systems: Competition Between Quantum Geometry and Band Dispersion
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 64124c90-e752-4274-8cb5-2489b8d23bb6 · outbound
Orbital magnetization reveals multiband topology Magnetic phase transitions driven by quantum geometry,
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a81198ce-9e35-45cd-8bac-ec3e47d1d57b · outbound
Orbital magnetization reveals multiband topology Low-frequency diver- gence and quantum geometry of the bulk photovoltaic effect in topological semimetals,
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 82595b93-5370-4b7c-88ed-a1791cbce07c · outbound
Orbital magnetization reveals multiband topology Rieman- nian geometry of resonant optical responses,
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 29e956f7-5439-4ebe-ab9f-022bc7256ed2 · outbound
Orbital magnetization reveals multiband topology Quantum geometry beyond projective single bands
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 756ecb8b-1073-4a4d-a10c-ec19225c9e7c · outbound
Orbital magnetization reveals multiband topology Non-trivial quantum geometry and the strength of electron–phonon coupling,
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 42e060a7-f367-4342-be34-fbf31282b571 · outbound
Orbital magnetization reveals multiband topology Optical manifestations and bounds of topological Euler class,
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 849839d1-6410-47bc-a4fd-3e28e8d2c5ed · outbound
Orbital magnetization reveals multiband topology Anomalous ge- ometric transport signatures of topological Euler class,
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fb66b6af-1292-4773-b4a0-fef1339b15f1 · outbound
Orbital magnetization reveals multiband topology Essay: Where can quantum geometry lead us?
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e542f801-2183-4b16-a1f4-88069464fe13 · outbound
Orbital magnetization reveals multiband topology Failure of Nielsen-Ninomiya Theorem and Fragile Topology in Two-Dimensional Systems with Space-Time Inversion Symmetry: Application to Twisted Bilayer Graphene at Magic Angle,
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e4714080-d238-4171-86c0-2504840bd15b · outbound
Orbital magnetization reveals multiband topology Quantum geometric bounds for observables: Linear responses, Drude weight, and orbital mag- netization,
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0e573258-9e94-4a94-8810-65a802b2be14 · outbound
Orbital magnetization reveals multiband topology Third-order nonlinear Hall effect induced by the Berry-connection polariz- ability tensor,
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 01fc0464-d09f-45ba-ad13-58a7673ffefe · outbound
Orbital magnetization reveals multiband topology Signatures of multiband effects in high-harmonic generation in monolayer MoS2,
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 21db0075-ccde-4d7b-9764-703a8fff91f1 · outbound
Orbital magnetization reveals multiband topology Quantum-metric- induced nonlinear transport in a topological antiferromagnet,
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b51e8bf2-31b4-4e01-ab99-ed92371c0a74 · outbound
Orbital magnetization reveals multiband topology Quantum metric nonlinear Hall effect in a topological antiferromagnetic heterostructure,
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 65d77ed4-46d6-4d40-9a0c-3ecfebdfac28 · outbound
Orbital magnetization reveals multiband topology Quantized Hall conduc- tance as a topological invariant,
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 69aa8490-61db-4703-86df-636f6af408d4 · outbound
Orbital magnetization reveals multiband topology Model for a quantum Hall effect with- out Landau levels: Condensed-matter realization of the
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e192c796-94b5-4768-a422-21ec605b59fa · outbound
Orbital magnetization reveals multiband topology Quantized anomalous Hall effect in magnetic topo- logical insulators,
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2db2e431-352b-4ee5-91e6-6558929ecc0b · outbound
Orbital magnetization reveals multiband topology Topological Crystalline Insulators,
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 601d566d-bd9c-4f1b-8613-3ddc746c9a8a · outbound
Orbital magnetization reveals multiband topology The space group classification of topological band-insulators,
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 470c5be0-8ccb-44d4-a87d-a0cb47dd2c8f · outbound
Orbital magnetization reveals multiband topology Topology of crystalline insulators and superconductors,
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3e6b11a2-11bb-48f3-8a5a-0f2c86ea614e · outbound
Orbital magnetization reveals multiband topology Topological classification of crystalline insulators through band structure combinatorics,
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1fa59413-bce3-4e9d-abe7-622acb4a07f2 · outbound
Orbital magnetization reveals multiband topology Symmetry-based indicators of band topology in the 230 space groups,
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 19a6149b-7eb6-410b-835d-3664b020b308 · outbound
Orbital magnetization reveals multiband topology Topological quan- tum chemistry,
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fb33b30e-e8c4-4084-b4db-308ae18dccee · outbound
Orbital magnetization reveals multiband topology PT -symmetric real Dirac fermions and semimetals,
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9f486509-68a3-460c-999d-af8ee2152c9b · outbound
Orbital magnetization reveals multiband topology Non-Abelian band topology in noninteracting metals,
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d5e49680-e9f1-4772-9555-a44bc4bbcff6 · outbound
Orbital magnetization reveals multiband topology Non-Abelian reciprocal braiding of Weyl points and its manifestation in ZrTe,
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 72dfff06-cb57-4f37-b4d3-bd98b0ebce4a · outbound
Orbital magnetization reveals multiband topology Geometric approach to fragile topology beyond symmetry indicators,
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation eba1f904-eec0-40b6-991f-7807bd629761 · outbound
Orbital magnetization reveals multiband topology Topological Euler class as a dynamical observable in optical lattices,
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5d2540a5-8498-4965-8d28-b17df663bc14 · outbound
Orbital magnetization reveals multiband topology Experimental observation of non- Abelian topological charges and edge states,
Reference 42
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3f04dcbd-69a1-4240-b91d-6a3e3345aea1 · outbound
Orbital magnetization reveals multiband topology Experimental observation of non- Abelian topological acoustic semimetals and their phase transi- tions,
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 88a25766-d9a5-4536-9d6d-d5e914949a55 · outbound
Orbital magnetization reveals multiband topology Non-Abelian Flo- quet braiding and anomalous Dirac string phase in periodically driven systems,
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3d492a04-b0e9-4050-b33c-59b308764666 · outbound
Orbital magnetization reveals multiband topology Exact projected entangled pair ground states with topological Euler invariant,
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b14c62d6-20be-4854-8be6-2f10110c4ca6 · outbound
Orbital magnetization reveals multiband topology Periodic table for topological insulators and super- conductors,
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bf6395d0-0c15-490d-aa1b-2b5e6ad54733 · outbound
Orbital magnetization reveals multiband topology Three-dimensional PT -symmetric topological phases with a Pontryagin index,
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 93a10c03-9f2c-4ab1-bad4-49301cf8db1f · outbound
Orbital magnetization reveals multiband topology Non-Abelian Hopf-Euler insulators,
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 363ed344-430e-423d-b402-aea8becdd799 · outbound
Orbital magnetization reveals multiband topology Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter
Reference 49
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 26b91b55-0b05-42a2-a0f7-ecdf938baa5d · outbound
Orbital magnetization reveals multiband topology Mag- netic Bloch theorem and reentrant flat bands in twisted bilayer graphene at 2 π flux,
Reference 50
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0216e94a-32e5-45da-b2f8-ce00614f8d34 · outbound
Orbital magnetization reveals multiband topology Landau levels of the Euler class topology,
Reference 51
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6e4c90bd-9ce4-4224-ab8e-791125925d11 · outbound
Orbital magnetization reveals multiband topology Berry phase effects on electronic properties,
Reference 52
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 41969b38-0e9b-4797-a5d3-912c4a40ef61 · outbound
Orbital magnetization reveals multiband topology Geometrical effects in orbital magnetic susceptibility,
Reference 53
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 11cd59ba-2c57-4dc8-91e4-fafbe90339d8 · outbound
Orbital magnetization reveals multiband topology Orbital Magnetism of Bloch Electrons I. General Formula,
Reference 54
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 324a60ee-85a1-4bae-8847-81dd0a6b22ae · outbound
Orbital magnetization reveals multiband topology Theory of Orbital Magnetism of Bloch Elec- trons: Coulomb Interactions,
Reference 55
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b538ee08-4628-4893-ae17-9a1cd35a9db1 · outbound
Orbital magnetization reveals multiband topology Or- bital magnetism in coupled-bands models,
Reference 56
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f7456928-bd04-4da0-9c93-8d00e588bf7f · outbound
Orbital magnetization reveals multiband topology Measurable lattice effects on the charge and magnetic response in graphene,
Reference 57
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2452075d-107c-4e58-935d-2e253c3e6956 · outbound
Orbital magnetization reveals multiband topology Zur Theorie des Diamagnetismus von Leitungse- lektronen,
Reference 58
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0e87eb53-bd71-423c-afa1-96840ef54cbf · outbound
Orbital magnetization reveals multiband topology I), mag- netic response function of Euler bands (Sec
Reference 59
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fe71906e-130c-4609-a729-8f2179ba0126 · outbound
Orbital magnetization reveals multiband topology Ge- ometric orbital susceptibility: Quantum metric without Berry curvature,
Reference 60
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 12b9cd6a-317e-4074-b708-74bdc3cd0788 · outbound
Orbital magnetization reveals multiband topology Wilson loop approach to fragile topology of split elementary band rep- resentations and topological crystalline insulators with time- reversal symmetry,
Reference 61
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3219481d-f58a-4df5-bb47-52a3bc4d02ed · outbound
Orbital magnetization reveals multiband topology Energy bands and Fermi surface of Sr2RuO4,
Reference 62
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a977d2ae-c738-48e4-87d3-8e3d1dd175be · outbound
Orbital magnetization reveals multiband topology Measurements of the quantum geomet- ric tensor in solids,
Reference 63
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b48434f1-7501-4d4e-ab01-60814f68c003 · outbound
Orbital magnetization reveals multiband topology Direct measurement of the quantum metric tensor in solids,
Reference 64
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation adc25647-3b32-4db2-94b1-c0723e292b9d · outbound
Orbital magnetization reveals multiband topology Field induced positional shift of Bloch electrons and its dynamical implications,
Reference 65
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c7202e82-1540-466e-ab6d-df670bb43c6f · outbound
Orbital magnetization reveals multiband topology Semiclassical Theory of Magnetic Energy Lev- els and Magnetic Susceptibility of Bloch Electrons,
Reference 66
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 12a10119-ca27-4a4c-8c2c-1a072dbe41c8 · outbound
Orbital magnetization reveals multiband topology Zero-field magnetic response functions in Landau levels,
Reference 67
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1825dce1-1368-4e23-b6de-bec628af18c5 · outbound
Orbital magnetization reveals multiband topology Quantum distance and anomalous Landau levels of flat bands,
Reference 68
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1ec19b24-aec4-4822-a3ad-ec6ebef25882 · outbound
Orbital magnetization reveals multiband topology Landau levels, response functions and magnetic oscillations from a generalized Onsager relation,
Reference 69
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c4f2ba36-f0f5-420b-bc5e-a0301168cd9a · outbound
Orbital magnetization reveals multiband topology Unresolved cited work
Reference 70
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c8400ec9-8fc3-4ed7-afa5-1dc6bd5ca769 · outbound
Orbital magnetization reveals multiband topology Beyond the Fukuyama formula 15 C
Reference 71
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d1f64c46-ca7c-4aa8-88c5-cdf6da67d2d9 · outbound
Orbital magnetization reveals multiband topology Unresolved cited work
Reference 72
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ba51d4c5-6532-49e0-b3b3-ae37b5cd3fdd · outbound
Orbital magnetization reveals multiband topology Unresolved cited work
Reference 73
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 12350729-42ec-40b0-8fd0-f6d2ba59b79c · outbound
Orbital magnetization reveals multiband topology Unresolved cited work
Reference 74
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2f05a698-706f-4557-8b01-ffb330412b30 · outbound
Orbital magnetization reveals multiband topology (78-81) can be generalized to any number of bands naturally, by performing 1 2 ∑ a/nequalb, without any change in the function form
Reference 75
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b8a63238-6e18-4bcb-b4d0-3790ea780c1a · outbound
Orbital magnetization reveals multiband topology ( 126) to simplify the expression
Reference 120
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0fccf6f1-ef22-4ae8-b38f-eedd59da2e53 · inbound
Magnetononlinear Hall effect from multigap topology in metal-organic frameworks Orbital magnetization reveals multiband topology
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.