Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T11:36:24.581138Z
Paper Citation Record · LEDGER
A 1d lattice model for the boundary of the quantum spin-Hall insulator
As of 21 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:1908.08958.
A citation records a reference. It does not transfer a finding from one paper to another.
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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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
Reference resolution
40 of 40 outbound references displayed
- verified exact8
- verified fuzzy9
- unresolved21
- parse uncertain1
- malformed identifier0
- metadata mismatch1
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 2aa91f54-d2da-476b-8fe4-69d11cae3b13 · outbound
This paper cites an unresolved cited work.
A 1d lattice model for the boundary of the quantum spin-Hall insulator Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:36:25.020144Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 8103660b-b0b1-47be-959c-fb756e5bf794 · outbound
This paper cites We will also extract the algebraic data characterizing our non-onsite symmetry.
A 1d lattice model for the boundary of the quantum spin-Hall insulator We will also extract the algebraic data characterizing our non-onsite symmetry
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:36:25.009755Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 402f9ae2-8dcd-4070-a10b-22faf95ed6b7 · outbound
This paper cites an unresolved cited work.
A 1d lattice model for the boundary of the quantum spin-Hall insulator Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:36:25.000077Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 607a8a01-71df-463e-9fa1-d57dfa3d9d09 · outbound
This paper cites an unresolved cited work.
A 1d lattice model for the boundary of the quantum spin-Hall insulator Unresolved cited work
Reference 4
- Resolution
- parse uncertain
- raw_fallback, observed 2026-08-14T11:36:24.990488Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 3b233337-1e7c-4088-b4f2-db8a2cef478f · outbound
This paper cites bosonized.
A 1d lattice model for the boundary of the quantum spin-Hall insulator bosonized
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:36:24.981293Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 6a2f9e1b-74b6-43d8-8b94-0287cf810821 · outbound
This paper cites economical.
A 1d lattice model for the boundary of the quantum spin-Hall insulator economical
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:36:24.971476Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation fa6c96b5-39a2-437e-83e4-8156bc13038f · outbound
This paper cites gauge transformations.
A 1d lattice model for the boundary of the quantum spin-Hall insulator gauge transformations
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:36:24.961309Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation f0d01b60-22f1-471b-93fc-b1b0311c1736 · outbound
This paper cites an unresolved cited work.
A 1d lattice model for the boundary of the quantum spin-Hall insulator Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:36:24.951242Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ecf1902b-4200-4b06-8641-9090a692b25c · outbound
This paper cites Nearest neighbor boundary Fp’s do not commute, but otherwise boundary Fp’s do.
A 1d lattice model for the boundary of the quantum spin-Hall insulator Nearest neighbor boundary Fp’s do not commute, but otherwise boundary Fp’s do
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:36:24.940890Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 2053fee7-a556-4fab-913a-6ac4803caf13 · outbound
This paper cites If both ci and ci+1 are unpaired in |ψ⟩, F 2 i,i+1|ψ⟩ = 1 4(1 +isi,i+1γiγi+1)(1 +isi,i+1¯γi¯γi+1)|ψ⟩.
A 1d lattice model for the boundary of the quantum spin-Hall insulator If both ci and ci+1 are unpaired in |ψ⟩, F 2 i,i+1|ψ⟩ = 1 4(1 +isi,i+1γiγi+1)(1 +isi,i+1¯γi¯γi+1)|ψ⟩
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:36:24.930735Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 407bc67b-431d-40cf-80cd-7a058ad6657f · outbound
This paper cites plaquettes ( i− 1,i ) and (i,i + 1) have the same spin).
A 1d lattice model for the boundary of the quantum spin-Hall insulator plaquettes ( i− 1,i ) and (i,i + 1) have the same spin)
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:36:24.920589Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ce40722d-314c-4368-b930-518513da136f · outbound
This paper cites +” and so there are no unpaired fermions. We can build a state where the consecutive “−.
A 1d lattice model for the boundary of the quantum spin-Hall insulator +” and so there are no unpaired fermions. We can build a state where the consecutive “−
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:36:24.909569Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 3587f880-30a9-4450-8d73-941bfb6a9be5 · outbound
This paper cites Symmetry protected topological orders in interacting bosonic systems.
A 1d lattice model for the boundary of the quantum spin-Hall insulator Symmetry protected topological orders in interacting bosonic systems
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T11:36:24.480104Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8e9805de-700e-432c-b594-f37b6c09b257 · outbound
This paper cites Symmetry protected topological orders and the group cohomology of their symmetry group.
A 1d lattice model for the boundary of the quantum spin-Hall insulator Symmetry protected topological orders and the group cohomology of their symmetry group
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T11:36:24.484067Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ee984233-c769-4898-839c-12bc0d3e1998 · outbound
This paper cites Symmetry Protected Topological phases of Quantum Matter.
A 1d lattice model for the boundary of the quantum spin-Hall insulator Symmetry Protected Topological phases of Quantum Matter
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T11:36:24.487831Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6165a924-2fdf-4e09-96c4-d94c4977914c · outbound
This paper cites 2D symmetry protected topological orders and their protected gapless edge excitations.
A 1d lattice model for the boundary of the quantum spin-Hall insulator 2D symmetry protected topological orders and their protected gapless edge excitations
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T11:36:24.491722Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 65c02d04-01ca-4879-9fd5-f8c2a0814e0f · outbound
This paper cites Chiral symmetry on the edge of 2D symmetry protected topological phases.
A 1d lattice model for the boundary of the quantum spin-Hall insulator Chiral symmetry on the edge of 2D symmetry protected topological phases
Reference 17
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T11:36:24.848541Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation c0ac851f-fc21-4bc9-83ae-93af61bba816 · outbound
This paper cites Braiding statistics approach to symmetry-protected topological phases.
A 1d lattice model for the boundary of the quantum spin-Hall insulator Braiding statistics approach to symmetry-protected topological phases
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T11:36:24.499877Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3aed3adc-3e6a-4ea9-af77-c0f9dd1387a0 · outbound
This paper cites Classifying symmetry-protected topological phases through the anomalous action of the symmetry on the edge.
A 1d lattice model for the boundary of the quantum spin-Hall insulator Classifying symmetry-protected topological phases through the anomalous action of the symmetry on the edge
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T11:36:24.503766Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 86070e59-9b87-482e-bd23-9b1878b73a60 · outbound
This paper cites Physics of three dimensional bosonic topological insulators: Surface Deconfined Criticality and Quantized Magnetoelectric Effect.
A 1d lattice model for the boundary of the quantum spin-Hall insulator Physics of three dimensional bosonic topological insulators: Surface Deconfined Criticality and Quantized Magnetoelectric Effect
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T11:36:24.507416Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a45f7d44-3e26-490e-9f61-66f578bc4e46 · outbound
This paper cites Exactly Soluble Model of a 3D Symmetry Protected Topological Phase of Bosons with Surface Topological Order.
A 1d lattice model for the boundary of the quantum spin-Hall insulator Exactly Soluble Model of a 3D Symmetry Protected Topological Phase of Bosons with Surface Topological Order
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T11:36:24.510937Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 87ff121f-4f25-42fa-aba5-766c23edd9dd · outbound
This paper cites Symmetry Protected Topological Phases, Anomalies, and Cobordisms: Beyond Group Cohomology.
A 1d lattice model for the boundary of the quantum spin-Hall insulator Symmetry Protected Topological Phases, Anomalies, and Cobordisms: Beyond Group Cohomology
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T11:36:24.514591Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 27a7225b-d8b7-4237-8097-f0b1ba9cb02a · outbound
This paper cites Symmetry-protected topological orders for interacting fermions -- Fermionic topological nonlinear $\sigma$ models and a special group supercohomology theory.
A 1d lattice model for the boundary of the quantum spin-Hall insulator Symmetry-protected topological orders for interacting fermions -- Fermionic topological nonlinear $\sigma$ models and a special group supercohomology theory
Reference 23
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T11:36:24.518346Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation eb55bfd0-41ff-4e3d-91d9-9d497917d0e9 · outbound
This paper cites Spin TQFTs and fermionic phases of matter.
A 1d lattice model for the boundary of the quantum spin-Hall insulator Spin TQFTs and fermionic phases of matter
Reference 24
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T11:36:24.522008Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e65059cd-b6e4-49c1-abc3-0c77f8e3f1cd · outbound
This paper cites Symmetry fractionalization and twist defects.
A 1d lattice model for the boundary of the quantum spin-Hall insulator Symmetry fractionalization and twist defects
Reference 25
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T11:36:24.526577Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 393a21b6-d70a-4b16-8026-7c28fbc73597 · outbound
This paper cites 1d lattice models for the boundary of 2d "Majorana" fermion SPTs: Kramers-Wannier duality as an exact $Z_2$ symmetry.
A 1d lattice model for the boundary of the quantum spin-Hall insulator 1d lattice models for the boundary of 2d "Majorana" fermion SPTs: Kramers-Wannier duality as an exact $Z_2$ symmetry
Reference 26
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T11:36:24.530473Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bbe940fa-ac00-4415-9c82-dc78873dfe04 · outbound
This paper cites Is the Composite Fermion a Dirac Particle?.
A 1d lattice model for the boundary of the quantum spin-Hall insulator Is the Composite Fermion a Dirac Particle?
Reference 27
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T11:36:24.534468Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ee63e71f-188d-430e-ba22-4a592a8d77f4 · outbound
This paper cites Dual Dirac liquid on the surface of the electron topological insulator.
A 1d lattice model for the boundary of the quantum spin-Hall insulator Dual Dirac liquid on the surface of the electron topological insulator
Reference 28
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T11:36:24.538096Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 345a6b6c-3c2d-4a0d-ada0-698789fac6c7 · outbound
This paper cites Particle-vortex duality of 2d Dirac fermion from electric-magnetic duality of 3d topological insulators.
A 1d lattice model for the boundary of the quantum spin-Hall insulator Particle-vortex duality of 2d Dirac fermion from electric-magnetic duality of 3d topological insulators
Reference 29
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T11:36:24.541634Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0e74fa62-45b9-462e-b20f-764566889382 · outbound
This paper cites Half-filled Landau level, topological insulator surfaces, and three dimensional quantum spin liquids.
A 1d lattice model for the boundary of the quantum spin-Hall insulator Half-filled Landau level, topological insulator surfaces, and three dimensional quantum spin liquids
Reference 30
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T11:36:24.729625Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 07c586de-56c0-4715-b88a-e8baa76a73d2 · outbound
This paper cites Realizing topological surface states in a lower-dimensional flat band.
A 1d lattice model for the boundary of the quantum spin-Hall insulator Realizing topological surface states in a lower-dimensional flat band
Reference 31
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T11:36:24.715407Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation de8303f7-8eab-4029-9c55-fa445f69a55c · outbound
This paper cites $Z_2$ Topological Order and the Quantum Spin Hall Effect.
A 1d lattice model for the boundary of the quantum spin-Hall insulator $Z_2$ Topological Order and the Quantum Spin Hall Effect
Reference 32
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T11:36:24.700481Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 5028d6ca-e634-4138-8f8e-42b2669239ea · outbound
This paper cites Fermion decoration construction of symmetry protected trivial orders for fermion systems with any symmetries $G_f$ and in any dimensions.
A 1d lattice model for the boundary of the quantum spin-Hall insulator Fermion decoration construction of symmetry protected trivial orders for fermion systems with any symmetries $G_f$ and in any dimensions
Reference 33
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T11:36:24.556333Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 84e6d635-2f50-43cb-9e3d-e2b8b58a76b3 · outbound
This paper cites Commuting-projector Hamiltonians for 2D topological insulators: edge physics and many-body invariants.
A 1d lattice model for the boundary of the quantum spin-Hall insulator Commuting-projector Hamiltonians for 2D topological insulators: edge physics and many-body invariants
Reference 34
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T11:36:24.676783Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 93dd617a-0221-4777-9804-2744f67322a5 · outbound
This paper cites Full Commuting Projector Hamiltonians of Interacting Symmetry-Protected Topological Phases of Fermions.
A 1d lattice model for the boundary of the quantum spin-Hall insulator Full Commuting Projector Hamiltonians of Interacting Symmetry-Protected Topological Phases of Fermions
Reference 35
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-14T11:36:24.662639Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 114fabea-d0cc-4197-a482-0a5fa4c9b077 · outbound
This paper cites Botet and R.
A 1d lattice model for the boundary of the quantum spin-Hall insulator Botet and R
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:36:24.899083Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation c8740564-b499-4a84-8ba2-7313e9226540 · outbound
This paper cites Yajima and M.
A 1d lattice model for the boundary of the quantum spin-Hall insulator Yajima and M
Reference 37
- Resolution
- verified exact
- doi, observed 2026-08-14T11:36:24.622928Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 25e48554-e829-4d93-8b58-fe7964274ad7 · outbound
This paper cites Kitazawa, K.
A 1d lattice model for the boundary of the quantum spin-Hall insulator Kitazawa, K
Reference 38
- Resolution
- verified exact
- doi, observed 2026-08-14T11:36:24.612234Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 5804a92f-837c-4ed5-9027-81c8c0cdd2db · outbound
This paper cites Discrete spin structures and commuting projector models for 2d fermionic symmetry protected topological phases.
A 1d lattice model for the boundary of the quantum spin-Hall insulator Discrete spin structures and commuting projector models for 2d fermionic symmetry protected topological phases
Reference 39
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T11:36:24.577739Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7961e225-80fb-4323-942b-bbfe203edf63 · outbound
This paper cites Disentangling interacting symmetry protected phases of fermions in two dimensions.
A 1d lattice model for the boundary of the quantum spin-Hall insulator Disentangling interacting symmetry protected phases of fermions in two dimensions
Reference 40
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T11:36:24.638604Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Pith citing papers
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