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Paper Citation Record · LEDGER

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays

As of 13 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 0 inbound Pith citation observations for arXiv:2606.00877.

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

pith.paper-citation-record.v1
2606.00877 v1

Coverage vector

measured 56 of 56 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-28T18:27:26.744662Z

measured 56 of 56 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

56 of 56 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation eb798dc5-8b96-4397-a76e-45fb5c4a3911 · outbound

This paper cites an unresolved cited work.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Unresolved cited work

Reference 1

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Observation f5534dd3-51a1-4526-9107-7374b23afb02 · outbound

This paper cites Qi and S.-C.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Qi and S.-C

Reference 2

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Observation f81acf1f-927a-408c-a11d-4a0985a13d05 · outbound

This paper cites Phys.88, 035005 (2016).

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Phys.88, 035005 (2016)

Reference 3

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Observation 0750ca5b-4629-4176-bf9a-b5b48c25adcd · outbound

This paper cites Bansil, H.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Bansil, H

Reference 4

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Observation 94af0114-a5f1-4792-801a-823b6c188277 · outbound

This paper cites an unresolved cited work.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Unresolved cited work

Reference 5

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Observation a7471f35-41a8-4148-a6c0-c198ed8b8976 · outbound

This paper cites an unresolved cited work.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Unresolved cited work

Reference 6

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Observation 3a09a73f-90a6-44a2-bb19-a16ffba2226c · outbound

This paper cites an unresolved cited work.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Unresolved cited work

Reference 7

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Observation 99515a4f-bf43-4651-bcf1-62d0d3d34d7f · outbound

This paper cites Atala, M.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Atala, M

Reference 8

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Observation dbe79805-ac75-424b-a51f-247e820960c6 · outbound

This paper cites 91, 015005 (2019).

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays 91, 015005 (2019)

Reference 9

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Observation bf312e8c-79a4-4e7f-9d84-54a479c64012 · outbound

This paper cites an unresolved cited work.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Unresolved cited work

Reference 10

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Observation 6307a1ca-1cb1-4f82-96a1-835bd0a5738b · outbound

This paper cites an unresolved cited work.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Unresolved cited work

Reference 11

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Observation 8ad3416c-3167-426d-a6e0-eec212eaa867 · outbound

This paper cites an unresolved cited work.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Unresolved cited work

Reference 12

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Observation bb1e3e67-f4a1-4beb-b9b5-7ae961e9f47d · outbound

This paper cites an unresolved cited work.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Unresolved cited work

Reference 13

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Observation a86e92e1-80f4-44af-9c06-890812a39c53 · outbound

This paper cites an unresolved cited work.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Unresolved cited work

Reference 14

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Observation 6dcb17e2-eaef-40c8-a28b-af80ec9297ab · outbound

This paper cites Kais, and A.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Kais, and A

Reference 15

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Observation fa9cca88-541e-4c8e-af74-cebd6eaf22ed · outbound

This paper cites Daskin and S.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Daskin and S

Reference 16

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Observation 309e64c0-f4b3-4218-85cb-4bf7e7258ecc · outbound

This paper cites an unresolved cited work.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Unresolved cited work

Reference 17

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Observation 91b91478-5a19-41b2-a48d-899dd7c75b75 · outbound

This paper cites an unresolved cited work.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Unresolved cited work

Reference 18

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Observation c5f3989c-b415-48b8-baea-6718f63ea512 · outbound

This paper cites Sawant, J.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Sawant, J

Reference 19

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Observation b134088b-9719-4e07-adff-8e45d97dd083 · outbound

This paper cites an unresolved cited work.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Unresolved cited work

Reference 20

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Observation cfef0193-9034-4118-8296-9374f9b1a56f · outbound

This paper cites an unresolved cited work.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Unresolved cited work

Reference 21

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Observation dd886c84-c4a1-4a85-8e3e-6bbd5560dd8e · outbound

This paper cites Anderegg, L.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Anderegg, L

Reference 22

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Observation cde0d53a-0f7a-4251-9aa8-1f5eacc311f9 · outbound

This paper cites an unresolved cited work.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Unresolved cited work

Reference 23

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Observation 8c6846d4-ba68-40a2-b989-3867c0961a56 · outbound

This paper cites an unresolved cited work.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Unresolved cited work

Reference 24

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Observation ed6a189c-b86c-4a05-9318-053df91093d1 · outbound

This paper cites Ni, and J.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Ni, and J

Reference 25

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Observation 3a888440-9252-4d97-a3c1-55d32d566412 · outbound

This paper cites an unresolved cited work.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Unresolved cited work

Reference 26

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Unavailable: canonical work link unavailable.

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Observation 86c6cd45-6f4f-42dd-a1ab-addb0465aa73 · outbound

This paper cites Global One-Counter Tree Automata.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Global One-Counter Tree Automata

Reference 27

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verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 826ccd14-507c-4471-b1fc-0398c4b913a0 · outbound

This paper cites an unresolved cited work.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Unresolved cited work

Reference 28

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Observation 176241e9-cdc4-4161-a575-a684e06d28ac · outbound

This paper cites Moriya, Phys.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Moriya, Phys

Reference 29

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Observation 8f8a404f-6ef6-48e1-9c25-60664e314bc5 · outbound

This paper cites an unresolved cited work.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Unresolved cited work

Reference 30

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Unavailable: canonical work link unavailable.

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Observation 2ada3245-f273-4074-91c8-a54bdc6cce6f · outbound

This paper cites Fang, and K.-K.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Fang, and K.-K

Reference 31

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Unavailable: canonical work link unavailable.

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Observation e82631e3-90b9-496a-b7bd-47b2657599ee · outbound

This paper cites Opticaltweezerarraysofpolarmolecules,.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Opticaltweezerarraysofpolarmolecules,

Reference 32

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unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation ce90d432-c0af-4195-9efc-6073f77e73db · outbound

This paper cites Ni, Phys.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Ni, Phys

Reference 33

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unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 9e123897-289c-4cbf-817f-f716e2d71320 · outbound

This paper cites Mitra, N.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Mitra, N

Reference 34

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 6be3a273-d5dc-4e29-8c1f-88fe408e9460 · outbound

This paper cites Fidkowski and A.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Fidkowski and A

Reference 35

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unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 3e22b860-88ed-47fc-88aa-d27132220e40 · outbound

This paper cites Tang and X.-G.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Tang and X.-G

Reference 36

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 2e490835-2ec8-4d2a-86fc-1e0e060031c4 · outbound

This paper cites an unresolved cited work.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Unresolved cited work

Reference 37

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 61734a75-d605-497e-81bd-b7bf8b41d88b · outbound

This paper cites Di Salvo, A.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Di Salvo, A

Reference 38

Resolution
unresolved
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Unavailable: canonical work link unavailable.

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Observation 7ca3d487-8c82-4e03-8069-608d1a2d4d59 · outbound

This paper cites an unresolved cited work.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Unresolved cited work

Reference 39

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 3591c3fe-d383-41a5-97c5-ebd24bf59637 · outbound

This paper cites an unresolved cited work.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Unresolved cited work

Reference 40

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T18:27:26.744662Z digest=sha256:8e9875dad23ad9de8c45014bad8b40e05bd83cb683ce7d904ffa39a4a7478241

Observation a20050a3-c0ca-4479-8bc6-57b72f7228d1 · outbound

This paper cites (A11) can be removed by a site-dependent rotation about the𝑧-axis.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays (A11) can be removed by a site-dependent rotation about the𝑧-axis

Reference 41

Resolution
unresolved
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source=pdf_text observed=2026-06-28T18:27:26.744662Z digest=sha256:5985b4cc1bfa22cd46925a8b38692558294a28d60f22b9da2556cd9cc0aa68d8

Observation 76fa7217-e136-46e3-ae0c-c79275ce207e · outbound

This paper cites (A20) to spinless fermions.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays (A20) to spinless fermions

Reference 42

Resolution
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Source-reported events for the cited work

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source=pdf_text observed=2026-06-28T18:27:26.744662Z digest=sha256:8ca417d757c8fcb58d38bd7a4f4088cb9d503ae4cfe48fb5541f0243aeb56ba1

Observation f5938e95-e3bd-4eee-8063-45afc41455d5 · outbound

This paper cites We use the convention 𝑟𝑗 =̄ 𝑟− (−1)𝑗𝛿𝑟.(A35) Thus 𝑗odd ∶𝑟 𝑗 =̄ 𝑟+𝛿𝑟, 𝑗even ∶𝑟 𝑗 =̄ 𝑟−𝛿𝑟.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays We use the convention 𝑟𝑗 =̄ 𝑟− (−1)𝑗𝛿𝑟.(A35) Thus 𝑗odd ∶𝑟 𝑗 =̄ 𝑟+𝛿𝑟, 𝑗even ∶𝑟 𝑗 =̄ 𝑟−𝛿𝑟

Reference 43

Resolution
unresolved
no resolver link, observed 2026-06-28T18:27:26.744662Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T18:27:26.744662Z digest=sha256:02a56d63799175a6a62fed23e5717fe5756b05951c0fdfff015b57e3bc62139c

Observation 06154d60-1fa1-4293-a7d2-433f178b392f · outbound

This paper cites We take𝑁= 2𝑁 𝑐, where𝑁𝑐 is the number of two-site unit cells.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays We take𝑁= 2𝑁 𝑐, where𝑁𝑐 is the number of two-site unit cells

Reference 44

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T18:27:26.744662Z digest=sha256:884d3b2c3d738981ff94d6c1772b5ed051acbd2c7bb5f63c02c37e3e41a4d242

Observation 9476f428-9fc6-44ce-8d42-65353d788ea1 · outbound

This paper cites (C5) follow from det[(𝑘) −𝐸𝕀 ] = det ( −𝐸 𝑞(𝑘) 𝑞∗(𝑘) −𝐸 ) =𝐸 2 −|𝑞(𝑘)| 2.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays (C5) follow from det[(𝑘) −𝐸𝕀 ] = det ( −𝐸 𝑞(𝑘) 𝑞∗(𝑘) −𝐸 ) =𝐸 2 −|𝑞(𝑘)| 2

Reference 45

Resolution
unresolved
no resolver link, observed 2026-06-28T18:27:26.744662Z

Source-reported events for the cited work

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source=pdf_text observed=2026-06-28T18:27:26.744662Z digest=sha256:bc4c67503ac70fe85b6b4fa68e1829a23e888f1077aef88510b30d61c2b1add1

Observation b621be6b-b6af-4e18-9ce0-1e604b75eab1 · outbound

This paper cites Writing 𝑞(𝑘) =𝑢(𝑘) +𝑖𝑣(𝑘), we have 𝑢(𝑘) = Re𝑞(𝑘) =𝑡 ef f 1 +𝑡 ef f 2 cos𝑘, 𝑣(𝑘) = Im𝑞(𝑘) = −𝑡 ef f 2 sin𝑘.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Writing 𝑞(𝑘) =𝑢(𝑘) +𝑖𝑣(𝑘), we have 𝑢(𝑘) = Re𝑞(𝑘) =𝑡 ef f 1 +𝑡 ef f 2 cos𝑘, 𝑣(𝑘) = Im𝑞(𝑘) = −𝑡 ef f 2 sin𝑘

Reference 46

Resolution
unresolved
no resolver link, observed 2026-06-28T18:27:26.744662Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T18:27:26.744662Z digest=sha256:d41cee0dcdd9f0e6e115b303d8389c015129f3423194a278847a722baebc66f5

Observation 6c5233a0-fc31-446f-84b3-ae752f08a078 · outbound

This paper cites This is useful for phase diagrams because boundary effects are absent and the finite sums are replaced by smooth momentum-space integrals.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays This is useful for phase diagrams because boundary effects are absent and the finite sums are replaced by smooth momentum-space integrals

Reference 47

Resolution
unresolved
no resolver link, observed 2026-06-28T18:27:26.744662Z

Source-reported events for the cited work

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source=pdf_text observed=2026-06-28T18:27:26.744662Z digest=sha256:03ed80cd1ca71713402e54450452a52c36d4c98e00eba271451b7257b8285e8e

Observation 71731e8a-40e9-42a7-a94c-6b710eedcbb7 · outbound

This paper cites an unresolved cited work.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Unresolved cited work

Reference 48

Resolution
unresolved
no resolver link, observed 2026-06-28T18:27:26.744662Z

Source-reported events for the cited work

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source=pdf_text observed=2026-06-28T18:27:26.744662Z digest=sha256:63e3903e6450ddbc0bba919fde51f31932d7c5674283d547380c7678bc6f0ad8

Observation f8d639d0-397f-4908-94bf-386a16b8bc79 · outbound

This paper cites Each leg contains𝑁sites.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Each leg contains𝑁sites

Reference 49

Resolution
unresolved
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Source-reported events for the cited work

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source=pdf_text observed=2026-06-28T18:27:26.744662Z digest=sha256:78f7f4772b2ff7f394fb631537fef089e4dd42049e5eb11d9961baea57727680

Observation c7049016-84f0-4fbd-8aca-4a26d9353dd4 · outbound

This paper cites an unresolved cited work.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Unresolved cited work

Reference 50

Resolution
unresolved
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Source-reported events for the cited work

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source=pdf_text observed=2026-06-28T18:27:26.744662Z digest=sha256:ad3d6d968b35d52545620a71500d05fb7b8df795c96dc3312d19c984dd700b11

Observation ececb987-83be-4706-9677-f5fa16ef305f · outbound

This paper cites Weorderthesingle-particlebasisas Ψ = (̂ 𝑐1,1, ̂ 𝑐1,2,…, ̂ 𝑐1,𝑁 , ̂ 𝑐2,1, ̂ 𝑐2,2,…, ̂ 𝑐2,𝑁 )𝑇.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Weorderthesingle-particlebasisas Ψ = (̂ 𝑐1,1, ̂ 𝑐1,2,…, ̂ 𝑐1,𝑁 , ̂ 𝑐2,1, ̂ 𝑐2,2,…, ̂ 𝑐2,𝑁 )𝑇

Reference 51

Resolution
unresolved
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Source-reported events for the cited work

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source=pdf_text observed=2026-06-28T18:27:26.744662Z digest=sha256:fea34190e887b16275714ed5318d18fc8b92e9af8ba58b1dcad2a54b9e4de96f

Observation ee21fe29-7b1f-4706-a9c4-31fec7811a12 · outbound

This paper cites As in Appendix C, odd and even sites are Fourier transformed separately on each leg: ̂ 𝑐𝜆,2𝑚−1 = 1√ 𝑁𝑐 ∑ 𝑘 𝑒𝑖𝑘𝑚 ̂ 𝑐𝜆,o,𝑘, ̂ 𝑐𝜆,2𝑚 = 1√ 𝑁𝑐 ∑ 𝑘 𝑒𝑖𝑘𝑚 ̂ 𝑐𝜆,e,𝑘, where𝑁 𝑐 =𝑁∕2.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays As in Appendix C, odd and even sites are Fourier transformed separately on each leg: ̂ 𝑐𝜆,2𝑚−1 = 1√ 𝑁𝑐 ∑ 𝑘 𝑒𝑖𝑘𝑚 ̂ 𝑐𝜆,o,𝑘, ̂ 𝑐𝜆,2𝑚 = 1√ 𝑁𝑐 ∑ 𝑘 𝑒𝑖𝑘𝑚 ̂ 𝑐𝜆,e,𝑘, where𝑁 𝑐 =𝑁∕2

Reference 52

Resolution
unresolved
no resolver link, observed 2026-06-28T18:27:26.744662Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T18:27:26.744662Z digest=sha256:202b8df7046a7a5d500ea8f36c26ca346f63c9efbded0a296c23e7df6781a4b1

Observation c69bff1d-debb-4c02-8553-1c438f21b86f · outbound

This paper cites an unresolved cited work.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Unresolved cited work

Reference 53

Resolution
unresolved
no resolver link, observed 2026-06-28T18:27:26.744662Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T18:27:26.744662Z digest=sha256:3da37b8d845c4b8d145e25c857a5891524eeb2e0dafdc5cbe1f0597378cb5f82

Observation 8408f513-9827-4795-a0d5-bb9dafc7976c · outbound

This paper cites Because both sectors contain the same𝑞(𝑘), 𝜈+ =𝜈 − =𝜈 SSH.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Because both sectors contain the same𝑞(𝑘), 𝜈+ =𝜈 − =𝜈 SSH

Reference 54

Resolution
unresolved
no resolver link, observed 2026-06-28T18:27:26.744662Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T18:27:26.744662Z digest=sha256:2bbee158854d35ece1a2f6b565fde156de04fe06a918b9c56f6653877ed7bbe2

Observation 8d8ead7d-50ac-42e2-bd6b-32b60045538c · outbound

This paper cites If each leg is in the topological phase, each chain contributes one left edge state and one right edge state.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays If each leg is in the topological phase, each chain contributes one left edge state and one right edge state

Reference 55

Resolution
unresolved
no resolver link, observed 2026-06-28T18:27:26.744662Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T18:27:26.744662Z digest=sha256:a0aeb382c7d11d4fbd779239d037e36941763dcac50be95593e96c8d4767d3ef

Observation b7476735-1054-4b9a-9c38-8929240c95c5 · outbound

This paper cites Diagonalizing Eq.

Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays Diagonalizing Eq

Reference 56

Resolution
unresolved
no resolver link, observed 2026-06-28T18:27:26.744662Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T18:27:26.744662Z digest=sha256:684089ea396b0d5d50f87f7f1db3ed9f8376937bd6e1d5a4221d8d5c1e137393

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