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Paper Citation Record · LEDGER

Quaternion-Kahler geometry of time reversal symmetric crystals

As of 22 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 1 inbound Pith citation observation for arXiv:2608.03178.

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pith.paper-citation-record.v1
2608.03178 v1

Coverage vector

measured 56 of 56 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:04:19.071399Z

measured 57 of 57 standing notices

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measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:32:12.296665Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-16T00:32:12.328838Z

Reference resolution

56 of 56 outbound references displayed

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External citation measurements

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Outbound references

Observation 78019bec-c3bc-4cc4-8114-e4ddab7841af · outbound

This paper cites Holonomy, the quantum adiabatic theorem, and berry’s phase,.

Quaternion-Kahler geometry of time reversal symmetric crystals Holonomy, the quantum adiabatic theorem, and berry’s phase,

Reference 1

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Observation b60d9e0e-ebcd-4d19-b461-711cbaf3c32e · outbound

This paper cites Quantal phase factors accompanying adiabatic changes,.

Quaternion-Kahler geometry of time reversal symmetric crystals Quantal phase factors accompanying adiabatic changes,

Reference 2

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Observation 0c483351-0935-405a-9817-a408c6ce9008 · outbound

This paper cites Appearance of gauge structure in simple dynamical systems,.

Quaternion-Kahler geometry of time reversal symmetric crystals Appearance of gauge structure in simple dynamical systems,

Reference 3

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Observation ebc01b69-b218-480c-8a5f-45715efbe362 · outbound

This paper cites Berry’s phase for energy bands in solids,.

Quaternion-Kahler geometry of time reversal symmetric crystals Berry’s phase for energy bands in solids,

Reference 4

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Observation 46c595c8-4627-412e-8c13-0f3e3504f387 · outbound

This paper cites Riemannian structure on manifolds of quantum states,.

Quaternion-Kahler geometry of time reversal symmetric crystals Riemannian structure on manifolds of quantum states,

Reference 5

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Observation 0752283a-5b5c-4e78-b26a-ae3d5f027031 · outbound

This paper cites Theory of polariza- tion of crystalline solids,.

Quaternion-Kahler geometry of time reversal symmetric crystals Theory of polariza- tion of crystalline solids,

Reference 6

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Observation b180d552-0743-4366-95f4-ce11bb4338cb · outbound

This paper cites Macroscopic polarization in crystalline di- electrics: the geometric phase approach,.

Quaternion-Kahler geometry of time reversal symmetric crystals Macroscopic polarization in crystalline di- electrics: the geometric phase approach,

Reference 7

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Observation 0b6a24ca-1cbc-4860-b486-464ec7829203 · outbound

This paper cites Orbital magnetization in periodic insulators,.

Quaternion-Kahler geometry of time reversal symmetric crystals Orbital magnetization in periodic insulators,

Reference 8

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Observation 1ec9dc44-12dd-4da0-9f44-a976b10f07cf · outbound

This paper cites Orbital magnetization in crystalline solids: Multi- band insulators, chern insulators, and metals,.

Quaternion-Kahler geometry of time reversal symmetric crystals Orbital magnetization in crystalline solids: Multi- band insulators, chern insulators, and metals,

Reference 9

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Observation 2429993c-6bbc-4968-ba62-e0f9c2bc0fcc · outbound

This paper cites Mag- netoelectric polarizability and axion electrodynamics in crys- talline insulators,.

Quaternion-Kahler geometry of time reversal symmetric crystals Mag- netoelectric polarizability and axion electrodynamics in crys- talline insulators,

Reference 10

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Observation d55324f1-b410-4492-94f8-c2f69ee5f1d9 · outbound

This paper cites Geometri- cal effects in orbital magnetic susceptibility,.

Quaternion-Kahler geometry of time reversal symmetric crystals Geometri- cal effects in orbital magnetic susceptibility,

Reference 11

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Observation f91a0eb7-c9d5-40f5-913a-c6d85bf1c433 · outbound

This paper cites Field induced positional shift of bloch electrons and its dynamical implica- tions,.

Quaternion-Kahler geometry of time reversal symmetric crystals Field induced positional shift of bloch electrons and its dynamical implica- tions,

Reference 12

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Observation 8b15f616-02f2-48e7-b722-1d19ea8b5fb2 · outbound

This paper cites Quantum nonlinear hall effect induced by berry curvature dipole in time-reversal invariant ma- terials,.

Quaternion-Kahler geometry of time reversal symmetric crystals Quantum nonlinear hall effect induced by berry curvature dipole in time-reversal invariant ma- terials,

Reference 13

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Observation f9f22ffc-8f96-430a-a072-8cfeb2c2c364 · outbound

This paper cites Intrinsic nonlinear conductivities induced by the quantum metric,.

Quaternion-Kahler geometry of time reversal symmetric crystals Intrinsic nonlinear conductivities induced by the quantum metric,

Reference 14

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Observation 40a3ba26-c589-4335-b113-6089cc0d08e0 · outbound

This paper cites Quantum-metric-induced nonlinear transport in a topological antiferromagnet,.

Quaternion-Kahler geometry of time reversal symmetric crystals Quantum-metric-induced nonlinear transport in a topological antiferromagnet,

Reference 15

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Observation 0b41e0a7-e8f3-4a5c-95fb-455242b788f4 · outbound

This paper cites Quantum metric nonlinear hall effect in a topological antiferromagnetic heterostructure,.

Quaternion-Kahler geometry of time reversal symmetric crystals Quantum metric nonlinear hall effect in a topological antiferromagnetic heterostructure,

Reference 16

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Observation bf741481-13d4-45b7-84e2-8b45d6b602d4 · outbound

This paper cites Superfluidity in topo- logically nontrivial flat bands,.

Quaternion-Kahler geometry of time reversal symmetric crystals Superfluidity in topo- logically nontrivial flat bands,

Reference 17

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Observation d7a6797f-11a9-4a4d-ac4c-343717dfeeab · outbound

This paper cites Geometric origin of superfluidity in the lieb-lattice flat band,.

Quaternion-Kahler geometry of time reversal symmetric crystals Geometric origin of superfluidity in the lieb-lattice flat band,

Reference 18

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Observation 13e3387d-b710-40c0-8a62-b58b0bb90979 · outbound

This paper cites Band geometry, berry curvature, and super- fluid weight,.

Quaternion-Kahler geometry of time reversal symmetric crystals Band geometry, berry curvature, and super- fluid weight,

Reference 19

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Observation db10e155-fe4f-44ed-8293-6c63e7aa0728 · outbound

This paper cites Quantum distance and anomalous landau levels of flat bands,.

Quaternion-Kahler geometry of time reversal symmetric crystals Quantum distance and anomalous landau levels of flat bands,

Reference 20

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Observation b1d8b6d7-55f2-4cda-8aec-55b3e03c7936 · outbound

This paper cites Ge- ometric characterization of anomalous landau levels of isolated flat bands,.

Quaternion-Kahler geometry of time reversal symmetric crystals Ge- ometric characterization of anomalous landau levels of isolated flat bands,

Reference 21

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Observation 885a093b-0af9-46ce-90e5-eddfd0dd5762 · outbound

This paper cites Quan- tum geometry and landau levels of quadratic band crossings,.

Quaternion-Kahler geometry of time reversal symmetric crystals Quan- tum geometry and landau levels of quadratic band crossings,

Reference 22

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Observation 4d5030c5-0b6f-4058-b67a-cbee0e778937 · outbound

This paper cites Geo- metric stability of topological lattice phases,.

Quaternion-Kahler geometry of time reversal symmetric crystals Geo- metric stability of topological lattice phases,

Reference 23

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Observation 84639d49-faa4-428f-9e83-ddd3df66490c · outbound

This paper cites Band geometry of fractional topological insula- tors,.

Quaternion-Kahler geometry of time reversal symmetric crystals Band geometry of fractional topological insula- tors,

Reference 24

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Observation 66a34c0f-f2a4-4ad8-8b79-1eca5ef62d03 · outbound

This paper cites Quantum geom- etry and stability of the fractional quantum hall effect in the hofstadter model,.

Quaternion-Kahler geometry of time reversal symmetric crystals Quantum geom- etry and stability of the fractional quantum hall effect in the hofstadter model,

Reference 25

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Observation bfcbab02-068b-4635-82cc-ce64b87a7aab · outbound

This paper cites Quantum geometry in quantum materials,.

Quaternion-Kahler geometry of time reversal symmetric crystals Quantum geometry in quantum materials,

Reference 26

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Observation 30c27c63-0c58-4191-90a1-6e5db8a5ffb4 · outbound

This paper cites Measurements of the quantum geometric tensor in solids,.

Quaternion-Kahler geometry of time reversal symmetric crystals Measurements of the quantum geometric tensor in solids,

Reference 27

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Observation 74e53e75-589d-4277-8b0a-14b8d7049019 · outbound

This paper cites Direct measurement of the quantum metric tensor in solids,.

Quaternion-Kahler geometry of time reversal symmetric crystals Direct measurement of the quantum metric tensor in solids,

Reference 28

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Observation 821b734f-9e8a-40b5-87be-284b345d3e32 · outbound

This paper cites From berry curvature to quantum metric: a new era of quantum geometry metrology for bloch electrons in solids,.

Quaternion-Kahler geometry of time reversal symmetric crystals From berry curvature to quantum metric: a new era of quantum geometry metrology for bloch electrons in solids,

Reference 29

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Observation ccbd226f-9c17-4be5-8e65-f1539c05d411 · outbound

This paper cites K ¨ahler geometry and chern insulators: Relations between topology and the quantum met- ric,.

Quaternion-Kahler geometry of time reversal symmetric crystals K ¨ahler geometry and chern insulators: Relations between topology and the quantum met- ric,

Reference 30

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Observation 9aae7031-52f6-47b8-b7f2-79cf346c3ef9 · outbound

This paper cites Engineering geometrically flat chern bands with fubini–study k¨ahler structure,.

Quaternion-Kahler geometry of time reversal symmetric crystals Engineering geometrically flat chern bands with fubini–study k¨ahler structure,

Reference 31

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Observation 6eb87fac-1d5c-4daa-8fa0-38f0a88525fe · outbound

This paper cites Fractional chern insulator states in twisted bilayer graphene: An analytical approach,.

Quaternion-Kahler geometry of time reversal symmetric crystals Fractional chern insulator states in twisted bilayer graphene: An analytical approach,

Reference 32

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Observation 7eb0d3f9-3a97-453e-8d5a-a733b3c2c0d3 · outbound

This paper cites Symmetry-protectedZ 2-quantization and quaternionic berry connection with kramers degeneracy,.

Quaternion-Kahler geometry of time reversal symmetric crystals Symmetry-protectedZ 2-quantization and quaternionic berry connection with kramers degeneracy,

Reference 33

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 917be202-d19a-4202-bf59-73398076c22b · outbound

This paper cites Hyper k ¨ahler and quaternionic k¨ahler geome- try.

Quaternion-Kahler geometry of time reversal symmetric crystals Hyper k ¨ahler and quaternionic k¨ahler geome- try

Reference 34

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:04:18.971744Z digest=sha256:a3ea52db14e93f9e159fcfdeada158d0087d402c98bb4dc29e15dd143a803fcb

Observation 57f7b1be-69a6-492b-ac0f-98431fda1059 · outbound

This paper cites an unresolved cited work.

Quaternion-Kahler geometry of time reversal symmetric crystals Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:04:19.434472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:04:18.975967Z digest=sha256:78545c4d06c4b9e58f03b34862ecfe005d05d074a00a3d62966d52b2ad0cea37

Observation 97002894-d893-4eb0-9fe8-0b36e7d215c4 · outbound

This paper cites A four-dimensional generalization of the quantum hall effect,.

Quaternion-Kahler geometry of time reversal symmetric crystals A four-dimensional generalization of the quantum hall effect,

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:04:19.413337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:04:18.980664Z digest=sha256:fb93db4b738a608afd18de5be31e5591be8caaef44b0c0236bd0e5eec76c471c

Observation 153d7549-5c37-4853-9627-c462d2ffaff5 · outbound

This paper cites The quantum hall ef- fect on r4,.

Quaternion-Kahler geometry of time reversal symmetric crystals The quantum hall ef- fect on r4,

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:04:19.394374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:04:18.985252Z digest=sha256:ce827a7d82f39bee5175615d219b69dc4fbf7a20a85c92f468086dff2f0647dc

Observation bdd0f1a6-0fe5-44fc-97a9-fd61ec1156f2 · outbound

This paper cites High-dimensional topological insula- tors with quaternionic analytic landau levels,.

Quaternion-Kahler geometry of time reversal symmetric crystals High-dimensional topological insula- tors with quaternionic analytic landau levels,

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:04:19.382442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:04:18.989715Z digest=sha256:74d1440a7954de7940757c6da9ec1dc560543936f0f3019a601ef068ad14aca6

Observation a80ac2de-ca8c-4ed4-bd93-0f44f380166b · outbound

This paper cites Topological in- sulators with su(2) landau levels,.

Quaternion-Kahler geometry of time reversal symmetric crystals Topological in- sulators with su(2) landau levels,

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:04:19.370054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:04:18.993725Z digest=sha256:b33af56e854b97ecf50b58a3b62b66edc52ecf8a09f9d6d4131521af9a38fcb8

Observation 2586bcb3-d00a-4421-9010-5c6161d1f9f4 · outbound

This paper cites Band structure engineering of ideal fractional chern insulators,.

Quaternion-Kahler geometry of time reversal symmetric crystals Band structure engineering of ideal fractional chern insulators,

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:04:19.358140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:04:18.997841Z digest=sha256:113486238fa5a215f7fa6c65bc6e1532c086ec083ba6c3e8bdcc5805b149d512

Observation 26d1cbfa-dec9-4e76-b9bb-345256bfb2be · outbound

This paper cites Relating the topology of dirac hamiltonians to quantum geometry: When the quantum metric dictates chern numbers and winding num- bers,.

Quaternion-Kahler geometry of time reversal symmetric crystals Relating the topology of dirac hamiltonians to quantum geometry: When the quantum metric dictates chern numbers and winding num- bers,

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:04:19.344168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:04:19.001533Z digest=sha256:134379f9cdd0731a12e9314c6b28f027d6f678bc68a2cfd1db5806fef6b9782d

Observation 81c58495-edda-4f94-b345-ad7d31526cd5 · outbound

This paper cites V ortexability: A unifying criterion for ideal fractional chern insulators,.

Quaternion-Kahler geometry of time reversal symmetric crystals V ortexability: A unifying criterion for ideal fractional chern insulators,

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:04:19.330744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:04:19.005677Z digest=sha256:a767c445859d0f7a91d3f767c6a17522b7d437159ea133f4e0ffadc687f3a3b2

Observation e909d31e-4ef5-475f-ab42-498f482821a0 · outbound

This paper cites Quantum spin hall effect,.

Quaternion-Kahler geometry of time reversal symmetric crystals Quantum spin hall effect,

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:04:19.316725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:04:19.011251Z digest=sha256:2369c2c87e77d9bea2749a166eceee9fcbd3cd6e262d876c840de358aa7564aa

Observation 73ce6195-b9f8-43c4-91a8-ea7bd6ffda54 · outbound

This paper cites Fractional topological insula- tors,.

Quaternion-Kahler geometry of time reversal symmetric crystals Fractional topological insula- tors,

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:04:19.301449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:04:19.015252Z digest=sha256:338d71be28fbac8110085ccbe0ac6148e9a3e6f916b46058c43e9c63e9cc1e2f

Observation 7630a912-1a04-4f10-805e-8d7ad2fd1bc0 · outbound

This paper cites Fractional topological liquids with time- reversal symmetry and their lattice realization,.

Quaternion-Kahler geometry of time reversal symmetric crystals Fractional topological liquids with time- reversal symmetry and their lattice realization,

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:04:19.283109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:04:19.020284Z digest=sha256:fe92aa3305ad113fea6d815877c25e6c957747aec97396cf4216ebaa5cc7b666

Observation 4d426829-7df8-4b48-9384-db831f26102e · outbound

This paper cites SU(2)non-abelian holonomy and dissipationless spin current in semiconductors,.

Quaternion-Kahler geometry of time reversal symmetric crystals SU(2)non-abelian holonomy and dissipationless spin current in semiconductors,

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:04:19.271295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:04:19.025498Z digest=sha256:5a646816d7d16f5b02f55d8b955345bbcf4cca0f5fee80ed4ed9bd70cf114d0f

Observation 41c1cdae-1911-4421-90d8-36fcca77813f · outbound

This paper cites Universal wilson loop bound of quantum geometry,.

Quaternion-Kahler geometry of time reversal symmetric crystals Universal wilson loop bound of quantum geometry,

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:04:19.257739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:04:19.030306Z digest=sha256:0482189c6a5060017686bbeacb3bb26770b5f7d3390ff727d03ff98e3dae1525

Observation dfb8c944-3779-4c94-bc02-d2313762a074 · outbound

This paper cites Fractional topological insulators in three di- mensions,.

Quaternion-Kahler geometry of time reversal symmetric crystals Fractional topological insulators in three di- mensions,

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:04:19.245051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:04:19.034747Z digest=sha256:102c27e4702720560f627f30fc0c59d69c81addfad2cec3f97b908307cc034a0

Observation 79a9da02-150c-4283-aabb-04817b51673e · outbound

This paper cites Quaternionic analysis,.

Quaternion-Kahler geometry of time reversal symmetric crystals Quaternionic analysis,

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:04:19.232442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:04:19.039569Z digest=sha256:c540471b29be5da0da75db558680224abed037f7f524f9c4ba03dd406705e2ae

Observation 0c776987-6b0b-4fb7-8c03-c5a411558c2a · outbound

This paper cites Calibrated geome- tries,.

Quaternion-Kahler geometry of time reversal symmetric crystals Calibrated geome- tries,

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:04:19.213116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:04:19.043404Z digest=sha256:8b27ab6a83703ccfbae2940cf20cbc12916703611eb452a8f4d3036e10e320b3

Observation 93c1bc7a-8bb8-477a-9be7-1fcc5ad7cf12 · outbound

This paper cites Quaternionic k ¨ahler manifolds,.

Quaternion-Kahler geometry of time reversal symmetric crystals Quaternionic k ¨ahler manifolds,

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:04:19.200404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:04:19.047830Z digest=sha256:cee8469915ff26c1713315436be50a09c8410d1b6346c29969861717cccea1b5

Observation 3a983029-5990-45fa-bcd7-145e863d575c · outbound

This paper cites Non-commutative linear algebra and plurisubharmonic functions of quaternionic variables,.

Quaternion-Kahler geometry of time reversal symmetric crystals Non-commutative linear algebra and plurisubharmonic functions of quaternionic variables,

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:04:19.186630Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:04:19.053065Z digest=sha256:4c306c10bd822b4214445c8b79bddddaa13bbfd807fd2fdcce7fd862272867e3

Observation ac526a9f-5b01-4c97-8939-71ec308887f7 · outbound

This paper cites Z 2 topological order and the quan- tum spin hall effect,.

Quaternion-Kahler geometry of time reversal symmetric crystals Z 2 topological order and the quan- tum spin hall effect,

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:04:19.175237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:04:19.057723Z digest=sha256:c8128675ba22b25dd25004c844f42d7fe7f1eb988d0018d128117f282df95189

Observation 390e6a5e-496e-441b-b0fb-d81ca31f05b5 · outbound

This paper cites Topological insulators in three dimensions,.

Quaternion-Kahler geometry of time reversal symmetric crystals Topological insulators in three dimensions,

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:04:19.163168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:04:19.061489Z digest=sha256:e71f6ffa66378949ad4c92e97fd4fd45df28776b3a3264d0c2b2f98cf1c96c52

Observation 59c3e60a-6705-4570-a0fb-9a2b9b10a12b · outbound

This paper cites Topological field theory of time-reversal invariant insulators,.

Quaternion-Kahler geometry of time reversal symmetric crystals Topological field theory of time-reversal invariant insulators,

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:04:19.150068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:04:19.066195Z digest=sha256:46a3d78e74203adbf9f5af767e5e50f67840e82c8b868376801d4b160f2a7d5a

Observation bc16fd63-33ae-4dd1-b124-e256f190834a · outbound

This paper cites pullback.

Quaternion-Kahler geometry of time reversal symmetric crystals pullback

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:04:19.136885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:04:19.071399Z digest=sha256:176a308035d47d37a23373f76c1456fe7d65ded39a676bf3959fe2d70398894a

Pith citing papers

Observation 22234671-2d57-4cf1-9d27-b0a027525019 · inbound

Second-Chern Bounds in Non-Abelian Quantum Geometry cites this paper.

Second-Chern Bounds in Non-Abelian Quantum Geometry Quaternion-Kahler geometry of time reversal symmetric crystals

Reference 48

Resolution
verified exact
local_arxiv, observed 2026-08-16T00:32:12.334758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T00:32:12.296665Z digest=sha256:a26a3099618ed8e01a8c9c20b7586381233c9b170cc9345ce2aa0ddb8bc7634e