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Paper Citation Record · LEDGER

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction

As of 19 August 2026, this Paper Citation Record lists 100 of 188 outbound references and 0 inbound Pith citation observations for arXiv:2508.02661.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2508.02661 v1

Coverage vector

measured 100 of 188 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-15T17:40:53.093622Z

measured 100 of 100 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 0 of 0 inbound itemization

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100 of 188 outbound references displayed

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Outbound references

Observation 47948825-5fce-496e-83a2-420ca11c9c6f · outbound

This paper cites 2D: No obstruction-free states ( Z1).

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction 2D: No obstruction-free states ( Z1)

Reference 1

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Observation 67b177cf-e1e6-492c-bfbe-86ab87345f25 · outbound

This paper cites an unresolved cited work.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 3

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Observation b6510828-d944-4d28-aa11-5ad538f3e4ed · outbound

This paper cites an unresolved cited work.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 6

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Observation edf600d3-cacc-4d3c-9dfc-6623cdbaa263 · outbound

This paper cites Therefore, the 1D classification reduces to Z2 2.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Therefore, the 1D classification reduces to Z2 2

Reference 7

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Observation 566f7254-baf4-4aca-b0d6-4557d83c2169 · outbound

This paper cites 2D: No obstruction-free states ( Z1).

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction 2D: No obstruction-free states ( Z1)

Reference 8

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Observation b7acc7bf-5273-495b-81b9-f2fa9e2333cd · outbound

This paper cites 2D: No obstruction-free states ( Z1) Final classification: E1D 1/2,dis = Z3 2(I) E2D 1/2,dis = Z1 G1/2,dis =E1D 1/2,dis×E2D 1/2,dis = Z3 2(I).

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction 2D: No obstruction-free states ( Z1) Final classification: E1D 1/2,dis = Z3 2(I) E2D 1/2,dis = Z1 G1/2,dis =E1D 1/2,dis×E2D 1/2,dis = Z3 2(I)

Reference 10

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source=pdf_text observed=2026-08-15T17:40:52.415703Z digest=sha256:d46602034941731bd5e6804a6adebf2c93cd873716dfbcfcae0e3021cd0d4470

Observation 5270dc4d-da4b-4b7e-a684-0f505bdd1d51 · outbound

This paper cites an unresolved cited work.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 11

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Observation 5ade3fee-57b0-4328-bd4a-e45e1d478f36 · outbound

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Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 13

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source=pdf_text observed=2026-08-15T17:40:52.431127Z digest=sha256:852901663413519c99ee3cf47827b8bc42739d3c9e83ff6359fc40d1af2c6014

Observation 94488b72-682b-4a75-b74d-0acf9b13a896 · outbound

This paper cites There- fore, the 1D classification reduces to Z2 2.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction There- fore, the 1D classification reduces to Z2 2

Reference 14

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Observation 7811f140-51ec-495d-a3bb-15e37d768fb0 · outbound

This paper cites Final classification: E1D 1/2,dis = Z2(I) E2D 1/2,dis = Z2 2(I) G1/2,dis =E1D 1/2,dis×E2D 1/2,dis = Z3 2(I).

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Final classification: E1D 1/2,dis = Z2(I) E2D 1/2,dis = Z2 2(I) G1/2,dis =E1D 1/2,dis×E2D 1/2,dis = Z3 2(I)

Reference 16

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source=pdf_text observed=2026-08-15T17:40:52.447284Z digest=sha256:e184c881fc65c11132a1830d5e78f7a39a354b71bd414f0eee13f72286c2228f

Observation 5dec5ebb-f591-45da-aa1c-62615075d818 · outbound

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Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 17

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Observation 846c510c-efdd-44e0-86a6-311b2a50e2f6 · outbound

This paper cites Individual decorations are intrinsic whereas decoration on any pair of τ blocks is extrin- sic.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Individual decorations are intrinsic whereas decoration on any pair of τ blocks is extrin- sic

Reference 18

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Observation 10a99b6f-a8e7-4130-9dc0-05eac296eaa6 · outbound

This paper cites Therefore, the 1D classification reduces to Z5 2.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Therefore, the 1D classification reduces to Z5 2

Reference 19

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Observation f223894c-9a11-46e3-b80b-4bc40ce2670c · outbound

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Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 20

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Observation c6c3bf59-c55d-4e50-a036-cf32c82d8bf4 · outbound

This paper cites Final classification: E1D 1/2,dis = Z3 2(I) E2D 1/2,dis = Z3 2(I) G1/2,dis =E1D 1/2,dis×E2D 1/2,dis = Z6 2(I).

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Final classification: E1D 1/2,dis = Z3 2(I) E2D 1/2,dis = Z3 2(I) G1/2,dis =E1D 1/2,dis×E2D 1/2,dis = Z6 2(I)

Reference 21

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source=pdf_text observed=2026-08-15T17:40:52.478240Z digest=sha256:96138ced2a15ea74bb4cd0c15e245566cac9f929dcd771f47af505e027fcd136

Observation 898f8c28-a1ae-426a-b62d-a5f182af1470 · outbound

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Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 22

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source=pdf_text observed=2026-08-15T17:40:52.484448Z digest=sha256:80d786d56e8a0aa5a86f3b8b6e70861a46f7d7fc9ab73d703dc180de800bb6b8

Observation 8206975c-0058-4707-b6df-ffdd6ac8ac38 · outbound

This paper cites There- fore, the 1D classification reduces to Z2 2 • Open surface decorations trivializes Majorana chain onτ.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction There- fore, the 1D classification reduces to Z2 2 • Open surface decorations trivializes Majorana chain onτ

Reference 24

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Observation 93faba35-c58b-41e9-b53b-bf9f04539855 · outbound

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Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 25

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Observation 675364b9-fe56-4d5b-9c32-6431fec25f86 · outbound

This paper cites Therefore, the 1D classification reduces to Z1 (trivial).

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Therefore, the 1D classification reduces to Z1 (trivial)

Reference 26

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Observation bd83ad49-f04a-40d0-a8a0-fb30e2642050 · outbound

This paper cites 2D: No obstruction-free states ( Z1) Final classification: E1D 1/2,dis = Z2(I) E2D 1/2,dis = Z1 G1/2,dis =E1D 1/2,dis×E2D 1/2,dis = Z2(I).

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction 2D: No obstruction-free states ( Z1) Final classification: E1D 1/2,dis = Z2(I) E2D 1/2,dis = Z1 G1/2,dis =E1D 1/2,dis×E2D 1/2,dis = Z2(I)

Reference 27

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Observation 30fb82ba-cdbe-412c-8f3a-7ee36184b6a5 · outbound

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Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 28

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Observation e2edaf00-08fd-42c4-b40b-a229f16d75a2 · outbound

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Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 29

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Observation dded727b-8c59-4a7c-86c0-1ff8f5467c64 · outbound

This paper cites Therefore, the 1D classification reduces to Z2.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Therefore, the 1D classification reduces to Z2

Reference 30

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Observation eebfb6c5-180b-43b5-8c4e-20b717602837 · outbound

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Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

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Observation 967855dc-5a0b-4a2f-aed6-9617f4ae4de4 · outbound

This paper cites Therefore, the 1D classification reduces to Z2.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Therefore, the 1D classification reduces to Z2

Reference 32

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Observation 1cdf9d8e-56fe-4b26-88c3-641c00fce049 · outbound

This paper cites Therefore, the 1D classification reduces to Z2.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Therefore, the 1D classification reduces to Z2

Reference 34

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Observation b41e196f-09fe-4bab-891d-cfef4ea547fc · outbound

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Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

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Observation 78e751ab-eced-49fd-9781-68d9f9338fc7 · outbound

This paper cites Therefore, the 1D classification reduces to Z2.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Therefore, the 1D classification reduces to Z2

Reference 37

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Observation a7ed8c94-a883-401c-8d50-13a636b1e360 · outbound

This paper cites 2D – p+ip SC onσ1 is obstructed by chiral anomaly at τ1 – p +ip SC on σ2 is incompatible with spinless rotational symmetry on equator.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction 2D – p+ip SC onσ1 is obstructed by chiral anomaly at τ1 – p +ip SC on σ2 is incompatible with spinless rotational symmetry on equator

Reference 38

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Observation 8ae9eaaa-acf7-4a3a-809e-254c6ca1289f · outbound

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Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 39

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Observation 6c8573d2-3025-434f-9cf3-7907d5703291 · outbound

This paper cites There- fore, the 1D classification reduces to Z2.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction There- fore, the 1D classification reduces to Z2

Reference 40

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Observation 27c66285-afa0-4383-921f-7546b88cef3b · outbound

This paper cites 2D: No obstruction-free states ( Z1).

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction 2D: No obstruction-free states ( Z1)

Reference 41

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Observation 3376c864-b802-4079-a65f-85d2ad286638 · outbound

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Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

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Observation 6f4f8e72-a6a4-4a71-8e0e-b82c435573df · outbound

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Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 46

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Observation cfac930e-4dfc-4351-9240-2afb52529d25 · outbound

This paper cites Therefore, the 1D classification reduces to Z2 2.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Therefore, the 1D classification reduces to Z2 2

Reference 47

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Observation 20798f00-9fd9-4299-a2b9-4e123af84f2c · outbound

This paper cites 2D: No obstruction-free states ( Z1).

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction 2D: No obstruction-free states ( Z1)

Reference 48

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source=pdf_text observed=2026-08-15T17:40:52.646133Z digest=sha256:4ed62672bb77c11439487993e3de7b2e764838567a14c1709cb64f4c8ec41d98

Observation ac4cd6e0-fe78-49e5-b41c-b796c7b18872 · outbound

This paper cites This reduces the 1D classification to Z2 2.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction This reduces the 1D classification to Z2 2

Reference 49

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source=pdf_text observed=2026-08-15T17:40:52.653488Z digest=sha256:e229f5201d96a46f2bc87e1ebd560bd8112ad7f231bc35b8f7317b6abdf21484

Observation a50f7af4-a23a-42a5-baca-a315ee8aae53 · outbound

This paper cites 2D: No obstruction-free states ( Z1) Final classification: E1D 1/2,dis = Z3 2(I) E2D 1/2,dis = Z1 G1/2,dis =E1D 1/2,dis×E2D 1/2,dis = Z3 2(I).

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction 2D: No obstruction-free states ( Z1) Final classification: E1D 1/2,dis = Z3 2(I) E2D 1/2,dis = Z1 G1/2,dis =E1D 1/2,dis×E2D 1/2,dis = Z3 2(I)

Reference 50

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source=pdf_text observed=2026-08-15T17:40:52.658822Z digest=sha256:d5774a238b5acf36789919af052841bab27b33493c96cfce80c1a1a672a6e4ef

Observation 60707877-3b08-4b20-b47d-ee7e74161f12 · outbound

This paper cites an unresolved cited work.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 51

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source=pdf_text observed=2026-08-15T17:40:52.663782Z digest=sha256:f6ce413cc08d0ccf23a293c45348cbf8148a4da91a522bc701f2662b20d46bdd

Observation 8958e88c-27ad-439c-a0ac-16f0dd74db27 · outbound

This paper cites There- fore, the 1D classification reduces to Z2 2.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction There- fore, the 1D classification reduces to Z2 2

Reference 54

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no resolver link, observed 2026-08-15T17:40:52.680009Z

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source=pdf_text observed=2026-08-15T17:40:52.680009Z digest=sha256:394c1439282948ea8683dcd945b52abbe835ab82de3f4558a876f4e1c3fdc91d

Observation 469d9cdb-bef6-4e1d-af00-360d280eb6b5 · outbound

This paper cites an unresolved cited work.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 57

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source=pdf_text observed=2026-08-15T17:40:52.696109Z digest=sha256:2a37fec248e2fef4260a29fe6cf2a387b8f493e8c23eda79ac3a0a3e44b2d8ae

Observation 52f13dc4-23b7-43d3-b0b7-caebdab178dc · outbound

This paper cites an unresolved cited work.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 58

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source=pdf_text observed=2026-08-15T17:40:52.702228Z digest=sha256:a0773b89c161f88962ecf1d501869205b3e12c99ba959d1efb74b3c84e87f3a1

Observation b24e9202-92a2-4f25-b6bd-876f24e47c53 · outbound

This paper cites an unresolved cited work.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 59

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source=pdf_text observed=2026-08-15T17:40:52.708111Z digest=sha256:5499f5b08e6e333aa3ce09f84a5eb5c524c94be51491f943dee85d175920c09a

Observation 7ae4c9f7-cec9-4561-9a07-aa41d388fa26 · outbound

This paper cites an unresolved cited work.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 60

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source=pdf_text observed=2026-08-15T17:40:52.713916Z digest=sha256:b5aa146748f2fdaf1fc03813fcea4b782774e3636fb2d97200ae3e5602040a34

Observation 094c2d60-9d5d-4eae-9c3c-d1f412f306d5 · outbound

This paper cites an unresolved cited work.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 61

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source=pdf_text observed=2026-08-15T17:40:52.719066Z digest=sha256:5ffbf7b48e1e7a572cda8c661b6b00265ff838727e81382ab343616d617adf93

Observation 5e871e39-3e28-4a7c-8650-188535d9d417 · outbound

This paper cites Therefore, the 1D classification reduces to Z4 2.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Therefore, the 1D classification reduces to Z4 2

Reference 62

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no resolver link, observed 2026-08-15T17:40:52.723841Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-15T17:40:52.723841Z digest=sha256:aad028218479043efa3a5b0d06f22090158d9d41d4ab74b2636460b7933a340a

Observation d6831fdb-e490-4bc0-bb33-82f10cc305ad · outbound

This paper cites an unresolved cited work.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 63

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-15T17:40:52.728990Z digest=sha256:d728ddb10c14545a7419ebbd8aa686415ee28d34d227ba7e819506f482ad8852

Observation 9c2d69be-1b65-4b96-9cc9-89d9ca5e34ac · outbound

This paper cites an unresolved cited work.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 64

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source=pdf_text observed=2026-08-15T17:40:52.736947Z digest=sha256:ea4ba70e4b289026ad3ec6ba2bcda327d7f14053582ac529706dc704592f7f36

Observation b9c489a0-75d6-4635-bbef-dbad6aadd4a8 · outbound

This paper cites Trivializations: • Zf 4 ASPT on σ1⇒ Zf 4 ASPT on τ3.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Trivializations: • Zf 4 ASPT on σ1⇒ Zf 4 ASPT on τ3

Reference 65

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source=pdf_text observed=2026-08-15T17:40:52.742894Z digest=sha256:159fe597e22e4982b4fbff02d847d43b5f9698ad801b58e250c09a9fd4c862f0

Observation e612bd25-97be-404e-8e33-84a33fe53ee2 · outbound

This paper cites Therefore, the 1D classification reduces to Z2 2.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Therefore, the 1D classification reduces to Z2 2

Reference 67

Resolution
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no resolver link, observed 2026-08-15T17:40:52.756161Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-15T17:40:52.756161Z digest=sha256:0c8245b1cea60a37bc485323c64fd22e4c6dbe76fefc145463b311f98c2b09b3

Observation 2f3d31e1-cb4c-4a3f-9a34-2612eaff3c48 · outbound

This paper cites Therefore, the 1D classification re- duces to Z2 2.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Therefore, the 1D classification re- duces to Z2 2

Reference 69

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-15T17:40:52.767949Z digest=sha256:f2a148f40d2377284a99e3f9d46811df681d42658a880971c9252f1f7c338889

Observation ff58bc9f-2725-4c45-b548-6f7765d31f26 · outbound

This paper cites an unresolved cited work.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 70

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-15T17:40:52.773507Z digest=sha256:bf7e1c78edc745037594c8d1b455574a9dfdf70c3e2ab737f097d206c58c5458

Observation be60220e-7c03-4868-907f-61b662b42622 · outbound

This paper cites 2D: (Z3 2).

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction 2D: (Z3 2)

Reference 71

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source=pdf_text observed=2026-08-15T17:40:52.779413Z digest=sha256:f7220131270766452b6d198bea900867805c7f5d05a89156e831c50f0ed3510d

Observation 8fd4d8a6-17dc-4953-83e7-76910d141be6 · outbound

This paper cites Therefore, the 1D classification reduces to Z5 2.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Therefore, the 1D classification reduces to Z5 2

Reference 72

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source=pdf_text observed=2026-08-15T17:40:52.784703Z digest=sha256:49f879e331dce385c82aceee93000953169a470368390805ed87d4e0a3a626f9

Observation 53dab3e0-b58e-495b-8e93-de94b0bd0eaf · outbound

This paper cites Final classification: E1D 1/2,dis = Z3 2(I) E2D 1/2,dis = Z3 2(I) G1/2,dis =E1D 1/2,dis×E2D 1/2,dis = Z6 2(I) FIG.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Final classification: E1D 1/2,dis = Z3 2(I) E2D 1/2,dis = Z3 2(I) G1/2,dis =E1D 1/2,dis×E2D 1/2,dis = Z6 2(I) FIG

Reference 74

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-15T17:40:52.795501Z digest=sha256:2a038e7a54be0d81b54da4d0e059394f1e217fe5a2b83742dbbfb703ceff29b4

Observation 37884329-650d-42f0-92b0-a05225fa11b5 · outbound

This paper cites Decohered/Disordered Block state decorations: 1D – τ: Majorana chain 2D – σ:p +ip SC Obstructions 2D – p+ip SC onσ is obstructed by chiral anomaly at τ.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Decohered/Disordered Block state decorations: 1D – τ: Majorana chain 2D – σ:p +ip SC Obstructions 2D – p+ip SC onσ is obstructed by chiral anomaly at τ

Reference 75

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-15T17:40:52.801042Z digest=sha256:7e880641a743143048c7a7463487db28ee58cad0ec627c21ab9c563766ba54ad

Observation 4a90781a-acb9-47c7-bcb8-99a0f398c518 · outbound

This paper cites Trivializations: • Majorana bubble on σ⇒ Majorana on τ.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Trivializations: • Majorana bubble on σ⇒ Majorana on τ

Reference 76

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-15T17:40:52.806199Z digest=sha256:6bba26e831576e34a412f3bc5df50fa1ac0db8295029ce047f81d65da183c599

Observation 549a1c4c-6e71-4432-9d29-c7792b578bf6 · outbound

This paper cites an unresolved cited work.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 77

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-15T17:40:52.811529Z digest=sha256:0a1873ebec56e2b2b84f9bd0fcc3255057079690ba862aca6e1fec99ae7754b8

Observation 9b895b92-2163-4cbb-95f0-554b711f6de4 · outbound

This paper cites Therefore, the 1D classification reduces to Z1 (trivial).

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Therefore, the 1D classification reduces to Z1 (trivial)

Reference 78

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-15T17:40:52.816703Z digest=sha256:f0314ea12b101d77eeb6ac576fefe38f51415a1476b30d301dca406f2d558e4a

Observation fc70ed39-730c-4db2-802d-dfab797f8f9a · outbound

This paper cites Therefore, the 1D classification reduces to Z2 Final classification: E1D 0,dis = Z2(I) E2D 0,dis = Z1 G0,dis =E1D 0,dis×E2D 0,dis = Z2(I).

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Therefore, the 1D classification reduces to Z2 Final classification: E1D 0,dis = Z2(I) E2D 0,dis = Z1 G0,dis =E1D 0,dis×E2D 0,dis = Z2(I)

Reference 79

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source=pdf_text observed=2026-08-15T17:40:52.821615Z digest=sha256:921f1dbd27d218a494799dddcac404e600e6da846e1176bf6bbb1fa79781ac91

Observation bf6fff5f-1dc8-4b9b-9172-11f432de092d · outbound

This paper cites an unresolved cited work.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 80

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source=pdf_text observed=2026-08-15T17:40:52.826408Z digest=sha256:1345b1b3e099a39dc3d9a7f2a18a364720527c0e74d1441a30b74b1739bc5523

Observation 1129131b-98ff-4939-8169-d2920af1a14b · outbound

This paper cites Therefore, the 1D classification reduces to Z2.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Therefore, the 1D classification reduces to Z2

Reference 82

Resolution
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no resolver link, observed 2026-08-15T17:40:52.836120Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-15T17:40:52.836120Z digest=sha256:0b27e499583212de84a6a079d74eb8ffe7e831accf2cfc7d95415e9547504cc3

Observation 4ea26cc9-0c5c-4101-9467-e73043b3b65d · outbound

This paper cites Trivializations: • Majorana bubble on σ1⇒ Majorana chain on τ1.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Trivializations: • Majorana bubble on σ1⇒ Majorana chain on τ1

Reference 84

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-15T17:40:52.846502Z digest=sha256:78724615491a07d5d1db6bbe8d66cfb5dd2f7ee1556136ad8522da40d9130d9d

Observation 0d4970d8-b7d1-4799-baac-19cb3e63eda7 · outbound

This paper cites an unresolved cited work.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 85

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source=pdf_text observed=2026-08-15T17:40:52.852632Z digest=sha256:51f3ac366a7c6b74df7a9ec94a0e92e3e7ef9161d4b697da1417b7f914d78cdc

Observation 96c77121-679f-4ba8-abce-fbaca3e0527f · outbound

This paper cites This reduces the 1D classification to Z2.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction This reduces the 1D classification to Z2

Reference 86

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-15T17:40:52.857855Z digest=sha256:374e6a93bfc429064aadfe8a78f29fd6e74e675badb24f4fb1c428e0e1bb9f20

Observation a3d0b61e-bba4-421a-a70f-ec6aeb169012 · outbound

This paper cites This reduces the 1D classification to Z2 Final classification: E1D 1/2,dis = Z2(I) E2D 1/2,dis = Z1 G1/2,dis =E1D 1/2,dis×E2D 1/2,dis = Z2(I).

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction This reduces the 1D classification to Z2 Final classification: E1D 1/2,dis = Z2(I) E2D 1/2,dis = Z1 G1/2,dis =E1D 1/2,dis×E2D 1/2,dis = Z2(I)

Reference 88

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source=pdf_text observed=2026-08-15T17:40:52.876132Z digest=sha256:b222b76498cfe3694b1a4d296eae05153f154f049e1c09230c49f96ebd93f665

Observation 277dc17e-37d8-464a-b87a-b1ad5d99b27a · outbound

This paper cites an unresolved cited work.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 89

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source=pdf_text observed=2026-08-15T17:40:52.882472Z digest=sha256:3919cbfa00ee5a30ffbd45735f0d1c8f2d69d6489322141c0187a9d8f4a75c3c

Observation 0b8a72dc-5dea-4caa-b6b7-c4d1d281d41d · outbound

This paper cites an unresolved cited work.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 90

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source=pdf_text observed=2026-08-15T17:40:52.889425Z digest=sha256:eecbf1494b5d647ef7b7adc7a96e942f534d71d3d580725325d2e33d0316a4a6

Observation e1d082d2-292a-4173-9bb1-cbd129cf97dc · outbound

This paper cites an unresolved cited work.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 91

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-15T17:40:52.894701Z digest=sha256:64d46a3f0d04c9330db2b913541b0283eecf10d455f22c311830368b558fc518

Observation 50e75950-7721-42a6-a599-dae6efa5cd34 · outbound

This paper cites Therefore, the 1D classification reduces to Z2.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Therefore, the 1D classification reduces to Z2

Reference 92

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source=pdf_text observed=2026-08-15T17:40:52.900193Z digest=sha256:a1459a4de4559ff4e90db390305896e5f90be2ef996ca093854373a2b85e5595

Observation 1fc862e7-f0fb-4d31-b140-50e1dde17ee1 · outbound

This paper cites an unresolved cited work.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 93

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source=pdf_text observed=2026-08-15T17:40:52.906160Z digest=sha256:b0ff88ee3659a82d0dbedd7dc49fd12a2f91ffea3038234b0fa38a04b58fdffc

Observation bf88cdb5-932b-4d8a-82fe-bcb249dac6a7 · outbound

This paper cites an unresolved cited work.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 94

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-15T17:40:52.911912Z digest=sha256:627df573daf7b4eef0d98ccfe3dae702f4af429c25ef0050689710f3d2e15b41

Observation f757899a-eef7-47b0-9acb-1496193aca07 · outbound

This paper cites Therefore, the 1D classification reduces to Z1 (trivial).

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Therefore, the 1D classification reduces to Z1 (trivial)

Reference 95

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-15T17:40:52.920040Z digest=sha256:8b9bebf54b5b31816df2dca18e3ff2e58e8faec6b8355c2d69a642c47188073f

Observation 43f8308b-a97f-4845-9780-ac9e4035d9d8 · outbound

This paper cites an unresolved cited work.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 96

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no resolver link, observed 2026-08-15T17:40:52.925595Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:40:52.925595Z digest=sha256:d9f73fad8409b7f59c9f39363ccb4409c34dbdb3f5931cccc833ea31bf6ca163

Observation eb07156a-eee3-41c7-85e8-c2216c2115ea · outbound

This paper cites Therefore, the 1D classification reduces to Z1 (trivial).

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Therefore, the 1D classification reduces to Z1 (trivial)

Reference 97

Resolution
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no resolver link, observed 2026-08-15T17:40:52.933522Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:40:52.933522Z digest=sha256:05a3083e36c4bd4cf173fc22cb15c047afba449124e1de70b0b07c6d7a2cb3e6

Observation a0460ea1-6c31-4dac-87a9-a486c4fa87c7 · outbound

This paper cites an unresolved cited work.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 98

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source=pdf_text observed=2026-08-15T17:40:52.939281Z digest=sha256:36a656f25a9b5b8d360e366eb60e231ec6162210d9871ecce77bb44ee6cec376

Observation 7ac707a9-f316-4bd1-81d8-8562c463e0e7 · outbound

This paper cites an unresolved cited work.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 99

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-15T17:40:52.948142Z digest=sha256:aa1a28a439db4d8d8de63bc520f226151db0d38668e90dfa02c31edc662f0118

Observation e703f7fb-5a95-4f61-ab2e-3875d3a43841 · outbound

This paper cites an unresolved cited work.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 100

Resolution
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no resolver link, observed 2026-08-15T17:40:52.955893Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:40:52.955893Z digest=sha256:fc3fbacb17ca4064e666e1dd1fa3e5c0907cf00ee824cf46c1cc6dd54b8e4127

Observation 4a313734-7253-4605-9779-ea4f207d2394 · outbound

This paper cites Therefore, the 1D classification reduces to Z3 2.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Therefore, the 1D classification reduces to Z3 2

Reference 101

Resolution
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no resolver link, observed 2026-08-15T17:40:52.962649Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:40:52.962649Z digest=sha256:ff6b4032bc5ddeabe4b12f6eabe8f69a9c601ff9c56acfa32c4f9f977e263a34

Observation 47c1076d-a21d-4167-822d-c77b06a4e99b · outbound

This paper cites Trivializations: • Zf 4 ASPT on σ1⇒ Simultaneous decoration of Zf 4 ASPT onτ1 andτ2.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Trivializations: • Zf 4 ASPT on σ1⇒ Simultaneous decoration of Zf 4 ASPT onτ1 andτ2

Reference 102

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-15T17:40:52.969759Z digest=sha256:c6d92c2175fc2aab4ec0f6c4954cf511d106e9c94550d2840e7dc2fd27cd7fe0

Observation 7d2af74e-b7a0-4d45-8e72-ba7dce740c81 · outbound

This paper cites an unresolved cited work.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 103

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no resolver link, observed 2026-08-15T17:40:52.979700Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-15T17:40:52.979700Z digest=sha256:c2e185cac1ad1885e701edffe5058debe72bd0b26da70a0b1ee307a6b84723e8

Observation 306d9f55-c60c-427d-a22b-91584f09e125 · outbound

This paper cites Therefore, the 1D classification reduces to Z2 2.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Therefore, the 1D classification reduces to Z2 2

Reference 104

Resolution
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no resolver link, observed 2026-08-15T17:40:52.985032Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-15T17:40:52.985032Z digest=sha256:ea08dead8cc5ec2d19f18c2f253b2f74a418f746498e9acf3042905cb48840ed

Observation 56ef8bb3-fbad-4a9a-8c09-9be7dca3f4e8 · outbound

This paper cites an unresolved cited work.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 105

Resolution
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no resolver link, observed 2026-08-15T17:40:52.991593Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:40:52.991593Z digest=sha256:e32775179394524f73c2874ef20a6e8fd4a1610bff3c2eac75e2de854d206ba6

Observation abd3b2ba-38fc-4a6c-b731-ae30c067e667 · outbound

This paper cites Therefore, the 1D classification reduces to Z2 2.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Therefore, the 1D classification reduces to Z2 2

Reference 106

Resolution
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no resolver link, observed 2026-08-15T17:40:52.996325Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:40:52.996325Z digest=sha256:98fa3f9b6209fb8ef571789b8f5081e900ffa09eb05fa0ccdc3855a4e844db8e

Observation 908a2e83-758f-4747-9929-e9c863d03902 · outbound

This paper cites an unresolved cited work.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 107

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no resolver link, observed 2026-08-15T17:40:53.002910Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-15T17:40:53.002910Z digest=sha256:5bef4b0527f3117da996d1c76b1138ba54c25f5bcf9c052d42b911b92929319c

Observation 5c6d37a3-4997-40d4-95c6-84989b2e3d4d · outbound

This paper cites There- fore, the 1D classification reduces to Z2 • Open surface decorations trivializes Majorana chain onτ.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction There- fore, the 1D classification reduces to Z2 • Open surface decorations trivializes Majorana chain onτ

Reference 108

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-15T17:40:53.008063Z digest=sha256:bcf2ac5b69101332210c6d48baa1b6ec8f04d2522dd8e3faad7800a002db026b

Observation 122b1a52-3299-4bbc-bf11-6984014aa584 · outbound

This paper cites an unresolved cited work.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 109

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-15T17:40:53.013024Z digest=sha256:3c816260d19fb0814e3c16a71ce033be2f1c6d2f3b36b74ca3c958d5c9b974cb

Observation f2642aee-8df4-4381-89b4-24e3fb4b48dd · outbound

This paper cites Therefore, the 1D classification reduces to Z1 (trivial).

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Therefore, the 1D classification reduces to Z1 (trivial)

Reference 110

Resolution
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no resolver link, observed 2026-08-15T17:40:53.017418Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-15T17:40:53.017418Z digest=sha256:b6c34e6240866d3b40996fddb8ce239472a8d2a9517373c214c73fe2458d2b21

Observation c250c45c-9996-4834-860c-16196aeda0bf · outbound

This paper cites 2D: No obstruction-free states ( Z1) Final classification: E1D 1/2,dis = Z2(I) E2D 1/2,dis = Z1 G1/2,dis =E1D 1/2,dis×E2D 1/2,dis = Z2(I).

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction 2D: No obstruction-free states ( Z1) Final classification: E1D 1/2,dis = Z2(I) E2D 1/2,dis = Z1 G1/2,dis =E1D 1/2,dis×E2D 1/2,dis = Z2(I)

Reference 111

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source=pdf_text observed=2026-08-15T17:40:53.022665Z digest=sha256:0e7d8609bf5c333326fdd99ca0348309de12f60546e92fea342646ead9cda9da

Observation d32eb2ff-5aa2-4258-8121-b1cf2f1db87d · outbound

This paper cites an unresolved cited work.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 112

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-15T17:40:53.032025Z digest=sha256:6506b563eabc9403b358054ccbec4cc4d550f151a875f5da1b190f40662750dd

Observation 7d32f398-9003-4ad5-b91e-edf1a66d2fad · outbound

This paper cites an unresolved cited work.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 113

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-15T17:40:53.038109Z digest=sha256:f60d9d912d798dc2ca4410330d498b5773827852c9441baa8f5a8115b3ce7b83

Observation 31360aeb-4ca2-41e5-b207-65473c6ea983 · outbound

This paper cites There- fore, the 1D classification reduces to Z1 (trivial).

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction There- fore, the 1D classification reduces to Z1 (trivial)

Reference 114

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no resolver link, observed 2026-08-15T17:40:53.043704Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-15T17:40:53.043704Z digest=sha256:8493347baad4cd4be4664a706fe2517d79dfba23cb04d40f60a26161ae8be7d2

Observation e9c3023c-7630-4478-b104-0ffa27051efa · outbound

This paper cites an unresolved cited work.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 115

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:40:53.050800Z digest=sha256:0c8ea04d99851c2dd2cb2db206b957f8a09b7abf668cca0412a1f1b54db690fc

Observation 3635cd3b-bce3-4008-826c-41649f44f260 · outbound

This paper cites an unresolved cited work.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 116

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:40:53.056795Z digest=sha256:f0823514e4263055a7696b06d1a8a790e5d6703c8c0867aad82a9e0e6a5f0670

Observation e6b171b5-fa7b-4466-9496-31c526c4564d · outbound

This paper cites an unresolved cited work.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 117

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no resolver link, observed 2026-08-15T17:40:53.062618Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:40:53.062618Z digest=sha256:044028084b45d544cb92e87161d2a7b7629c51a19558c785d46ccab37e788d54

Observation 16c764f8-a7b3-460a-a334-c0d8f13c7606 · outbound

This paper cites Therefore, the 1D classification reduces to Z1 (triv- ial).

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Therefore, the 1D classification reduces to Z1 (triv- ial)

Reference 118

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no resolver link, observed 2026-08-15T17:40:53.068302Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:40:53.068302Z digest=sha256:3dff08094f90a7d0441800a23ace59db3db88301d361f500bb548485427dec1a

Observation cc930bdc-9d4e-4771-ae3f-3500ca821a80 · outbound

This paper cites an unresolved cited work.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 119

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:40:55.447762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T17:40:53.074744Z digest=sha256:a00c0b749f2461b0521f659a687c8e2070b59bc08dcb2c8595a55d022d08deb5

Observation 751b2564-3f9d-4321-9141-763ed42f4279 · outbound

This paper cites an unresolved cited work.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 120

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unresolved
raw_fallback, observed 2026-08-15T17:40:55.427421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T17:40:53.082071Z digest=sha256:7a59919765f31db31d08e316b4215c26a406d2d6fd65bb3480f0e0c0c5cc1d54

Observation bc874f18-905b-4046-969d-10a597008759 · outbound

This paper cites Therefore, the 1D classification reduces to Z2.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Therefore, the 1D classification reduces to Z2

Reference 121

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:40:55.411185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T17:40:53.088169Z digest=sha256:23ba2893789b83dc1fbeae1e460ceaaac5c95f0369e8419369da832cb26c4425

Observation 24fbdf9b-2f87-4e9e-8239-37d4a7d78b98 · outbound

This paper cites an unresolved cited work.

Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction Unresolved cited work

Reference 122

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raw_fallback, observed 2026-08-15T17:40:55.393655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T17:40:53.093622Z digest=sha256:4d55ff96d06282f1c1532265c6633a0c31abc4fa2122c63e9aefaf312f9fc780

Pith citing papers

No inbound Pith citation observations are available.