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Paper Citation Record · LEDGER

Bulk-edge correspondence in finite photonic structure

As of 11 August 2026, this Paper Citation Record lists 71 of 71 outbound references and 6 inbound Pith citation observations for arXiv:2501.15531.

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

pith.paper-citation-record.v1
2501.15531 v2

Coverage vector

measured 71 of 71 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T14:16:45.784828Z

measured 77 of 77 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:10:42.098153Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-29T01:02:56.213693Z

Reference resolution

71 of 71 outbound references displayed

  • verified exact2
  • verified fuzzy59
  • unresolved10
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External citation measurements

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Outbound references

Observation 0ff36559-dc76-47e8-addd-79483938d077 · outbound

This paper cites Lectures on Exponential Decay of Solutions of Second-Order Elliptic Equations: Bounds on Eigenfunctions of N-Body Schrodinger Operations.

Bulk-edge correspondence in finite photonic structure Lectures on Exponential Decay of Solutions of Second-Order Elliptic Equations: Bounds on Eigenfunctions of N-Body Schrodinger Operations

Reference 1

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 6ccb03e3-fc9d-47c7-b838-214fbbfdf178 · outbound

This paper cites Analyticity of layer potentials and l2 solvability of boundary value problems for divergence form elliptic equ ations with complex l∞ coefficients.

Bulk-edge correspondence in finite photonic structure Analyticity of layer potentials and l2 solvability of boundary value problems for divergence form elliptic equ ations with complex l∞ coefficients

Reference 2

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verified fuzzy
raw_fallback, observed 2026-08-10T14:16:46.287450Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 8ab375a3-9043-4e9e-9665-2f0114f06814 · outbound

This paper cites Mathematical foundations of the non-hermitian skin effect.

Bulk-edge correspondence in finite photonic structure Mathematical foundations of the non-hermitian skin effect

Reference 3

Resolution
verified fuzzy
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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 3d459536-cda0-459d-b176-ef426c3f690d · outbound

This paper cites Applications of Chebyshev polynomials and Toeplitz theory to topological metamaterials.

Bulk-edge correspondence in finite photonic structure Applications of Chebyshev polynomials and Toeplitz theory to topological metamaterials

Reference 4

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verified exact
local_arxiv, observed 2026-08-10T14:16:45.833073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 85990ba3-3e93-4b9e-8a35-808266268b72 · outbound

This paper cites Regularity theorems and heat kernel for ellipt ic operators.

Bulk-edge correspondence in finite photonic structure Regularity theorems and heat kernel for ellipt ic operators

Reference 5

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verified fuzzy
raw_fallback, observed 2026-08-10T14:16:46.275272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.620184Z digest=sha256:e60dfe4138ad4b0a84189606405fe7605e2a7bf5b9b2ddb0e89bff3a4e1725a8

Observation cdd67c04-bba0-44d1-a269-9a9b8f9c32c9 · outbound

This paper cites Heat kernels of second order complex elliptic operators and applications.

Bulk-edge correspondence in finite photonic structure Heat kernels of second order complex elliptic operators and applications

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:46.269208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.622152Z digest=sha256:834b4fcdd3e9e4a9955ca5b9693cc87e25a60cb07a6596dc1203adb67a8c4114

Observation 351ef06c-4031-400b-8feb-847e43104887 · outbound

This paper cites Equivalence between re gularity theorems and heat kernel es- timates for higher order elliptic operators and systems under diver gence form.

Bulk-edge correspondence in finite photonic structure Equivalence between re gularity theorems and heat kernel es- timates for higher order elliptic operators and systems under diver gence form

Reference 7

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verified fuzzy
raw_fallback, observed 2026-08-10T14:16:46.262664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 4247c754-6f33-4ef7-a183-24e9e1f895ed · outbound

This paper cites Gaussian estimates for se cond order elliptic divergence operators on lipschitz and c 1 domains.

Bulk-edge correspondence in finite photonic structure Gaussian estimates for se cond order elliptic divergence operators on lipschitz and c 1 domains

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:46.256135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.626470Z digest=sha256:185e7cebdddbf5a3e55c378db894119a7041356cc05c483884a3758dbb9da74f

Observation 1322195a-43ab-483b-88c0-31976403f634 · outbound

This paper cites Topological invariants of edge states for periodic two-dimensional models.

Bulk-edge correspondence in finite photonic structure Topological invariants of edge states for periodic two-dimensional models

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:46.248957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 9a8b3072-e3ad-4908-899a-23c49cfafe2c · outbound

This paper cites Avron, Ruedi Seiler, and Barry Simon.

Bulk-edge correspondence in finite photonic structure Avron, Ruedi Seiler, and Barry Simon

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:46.241245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 0d187990-55bc-4729-9ab8-b610a5d9e8e7 · outbound

This paper cites Continuous bulk and interface description of topolo gical insulators.

Bulk-edge correspondence in finite photonic structure Continuous bulk and interface description of topolo gical insulators

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:46.231701Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 49bf5988-ddfe-4bbb-a87a-c7f3e55dbec5 · outbound

This paper cites Topological charge conservation for continuous in sulators.

Bulk-edge correspondence in finite photonic structure Topological charge conservation for continuous in sulators

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:46.221925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.638720Z digest=sha256:262cf3e2ae6ac80d2fe34c468b4cdf51afcbf0fcc23e08e789c7bdb594b417c8

Observation fe230b01-0ecc-40d5-b5f1-15ef05eefd55 · outbound

This paper cites Edge state dynamics along curved interfaces.

Bulk-edge correspondence in finite photonic structure Edge state dynamics along curved interfaces

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:46.215011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation ef12d7c9-8bdf-47e4-b31f-c42c45e71e32 · outbound

This paper cites Andrei Bernevig and Taylor L.

Bulk-edge correspondence in finite photonic structure Andrei Bernevig and Taylor L

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:46.207511Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation ea625c35-b629-4535-a5a4-29d09ea4bbaa · outbound

This paper cites Hamiltonian treatment of the electrom agnetic field in dispersive and absorptive structured media.

Bulk-edge correspondence in finite photonic structure Hamiltonian treatment of the electrom agnetic field in dispersive and absorptive structured media

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:46.199518Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.646503Z digest=sha256:ff432b16138b878a9c853c23cfe55279b02f9eb52435e343b9c4aabf93dcc43a

Observation f5940a16-9444-4dd8-bb02-28c62cb4ef52 · outbound

This paper cites As ymptotic behavior of green functions of divergence form operators with periodic coefficients.

Bulk-edge correspondence in finite photonic structure As ymptotic behavior of green functions of divergence form operators with periodic coefficients

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:46.193377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 4399c440-47b2-482d-a142-95e9251654d1 · outbound

This paper cites The k-th eoretic bulk–edge correspondence for topological insulators.

Bulk-edge correspondence in finite photonic structure The k-th eoretic bulk–edge correspondence for topological insulators

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:46.185115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.651245Z digest=sha256:13460d57a0b9bf491e4614d72fc1029f4dbfaa236c926c9d9a9cbc960384db58

Observation be79398f-f807-40ee-99cf-819412e74ef2 · outbound

This paper cites The spectral flow of a family of toeplitz opera tors, 2018.

Bulk-edge correspondence in finite photonic structure The spectral flow of a family of toeplitz opera tors, 2018

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:46.176622Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 58ddd8ff-9193-436b-b8f3-a1c3164ddaa4 · outbound

This paper cites Kernels of trace class operators.

Bulk-edge correspondence in finite photonic structure Kernels of trace class operators

Reference 19

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verified fuzzy
raw_fallback, observed 2026-08-10T14:16:46.168510Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.656164Z digest=sha256:b72f420afd751a9387dcf9d40a7cf052a88a2fda5981e9e788ee918d9a9c80e0

Observation 6c1c97db-74d3-468b-9897-707580554eb1 · outbound

This paper cites Conca, J.

Bulk-edge correspondence in finite photonic structure Conca, J

Reference 20

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unresolved
no resolver link, observed 2026-08-10T14:16:45.658599Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation fb4d0b07-857b-4a7c-8b5d-391d30846248 · outbound

This paper cites From orbital magnetism to bulk-edge correspondence.

Bulk-edge correspondence in finite photonic structure From orbital magnetism to bulk-edge correspondence

Reference 21

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unresolved
no resolver link, observed 2026-08-10T14:16:45.660732Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T14:16:45.660732Z digest=sha256:92adf6eecdedf9a22a7c691ce67cb05fcaca5e375e950c33182f9f856c936ba5

Observation 2c582abb-d1ec-4805-a515-72a4ea52029d · outbound

This paper cites Symmetry Classification of Topological Photonic Crystals.

Bulk-edge correspondence in finite photonic structure Symmetry Classification of Topological Photonic Crystals

Reference 22

Resolution
verified exact
local_arxiv, observed 2026-08-10T14:16:45.816099Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 6f969715-8f58-40d6-955b-16bdc96a210b · outbound

This paper cites Regularity theory for solutions to second order elliptic operators with complex coefficients and the lp dirichlet problem.

Bulk-edge correspondence in finite photonic structure Regularity theory for solutions to second order elliptic operators with complex coefficients and the lp dirichlet problem

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:46.158601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.666289Z digest=sha256:102714881fa1984f57d57cb9f3e9d3a3a906a979417810322e6e87f3497b8a51

Observation 3ddd8bca-1093-4697-84ea-1228d3ec20b0 · outbound

This paper cites Microlocal analysis of the bulk-edge correspond ence.

Bulk-edge correspondence in finite photonic structure Microlocal analysis of the bulk-edge correspond ence

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:46.152058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.669009Z digest=sha256:192f13e8f58f72295bcca468a27aae7b6b9604fa357fd41831d490b36b6d7170

Observation 98a67fd4-723c-42c4-b3aa-3cd9c6fb9ccd · outbound

This paper cites The bulk-edge correspondence for curved interfaces, 2024.

Bulk-edge correspondence in finite photonic structure The bulk-edge correspondence for curved interfaces, 2024

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-10T14:16:45.671338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T14:16:45.671338Z digest=sha256:1bff1d40a56b55ab919af6a5c15c88aa572a8f64ef2a9d7e3f854ab6661f9132

Observation 29fe686d-88c1-433f-9fee-04d76f253df5 · outbound

This paper cites The Electronic Structure of Smoothly Deformed Crystals: Wannier Functions and the Cauchy-Born Rule.

Bulk-edge correspondence in finite photonic structure The Electronic Structure of Smoothly Deformed Crystals: Wannier Functions and the Cauchy-Born Rule

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:46.141463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.673665Z digest=sha256:987ef6f790bd60104c513d2a5bf73f549b676554b49a1d367377f134c943ad28

Observation e1675cec-0082-40ba-947c-e6ba6fd2d8f1 · outbound

This paper cites Equality of the bulk and edge hall conductances in a mobility gap.

Bulk-edge correspondence in finite photonic structure Equality of the bulk and edge hall conductances in a mobility gap

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:46.134665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 9525d1a2-1a90-4035-8af1-c9a3180b7a3f · outbound

This paper cites On second-or der periodic elliptic operators in divergence form.

Bulk-edge correspondence in finite photonic structure On second-or der periodic elliptic operators in divergence form

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:46.125367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.678899Z digest=sha256:77913c3eb29c084d2bc6593970fa4db4c0779fe932bb4cd72de2126b89aa9f2b

Observation 1d24598b-0a67-4d0a-b9c5-e2ff7779d9e5 · outbound

This paper cites Continuum schroedinger operat ors for sharply terminated graphene-like structures.

Bulk-edge correspondence in finite photonic structure Continuum schroedinger operat ors for sharply terminated graphene-like structures

Reference 29

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verified fuzzy
raw_fallback, observed 2026-08-10T14:16:46.117648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.681171Z digest=sha256:f4a44bec88a87b4395474548bb13fbd807414442b2a918c64aecfb457ba8de1b

Observation 0a8e4bbd-2f3a-4bf3-9012-298a7970c085 · outbound

This paper cites Localization of classical waves i: Acoustic waves.

Bulk-edge correspondence in finite photonic structure Localization of classical waves i: Acoustic waves

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:46.110864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.683448Z digest=sha256:628376329bd00fcffc0acf3ff247f602293dedd20a935c129fb71fef58f78320

Observation e617086e-ce1e-47ce-bf04-84d3a6e7876b · outbound

This paper cites Bulk-edge correspondenc e for two-dimensional topological insu- lators.

Bulk-edge correspondence in finite photonic structure Bulk-edge correspondenc e for two-dimensional topological insu- lators

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:46.102749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.687283Z digest=sha256:178e71603d24b059c63b040082f54864a48a36c19bf92ac6c44fdc357e88dac4

Observation 809b5a33-2e09-41bd-8c5c-8daf34f4e9fe · outbound

This paper cites The bulk-edge correspond ence for disordered chiral chains.

Bulk-edge correspondence in finite photonic structure The bulk-edge correspond ence for disordered chiral chains

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:46.094187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.690486Z digest=sha256:9c065fff5db29ef788fdbc4617f5e92a022448b9fe915b2cb30066e66200d36c

Observation e1336c3e-a855-474d-9e9f-89bfed1b9a7d · outbound

This paper cites The green function for u niformly elliptic equations.

Bulk-edge correspondence in finite photonic structure The green function for u niformly elliptic equations

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:46.087126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.692892Z digest=sha256:147433c412621e2a629602535aefa6a3669a8d606a4ec0a2c73df9b676440285

Observation 4c7ed82d-0195-40ed-b57f-16858a5cb278 · outbound

This paper cites an unresolved cited work.

Bulk-edge correspondence in finite photonic structure Unresolved cited work

Reference 34

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unresolved
no resolver link, observed 2026-08-10T14:16:45.695150Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T14:16:45.695150Z digest=sha256:a969f1a72ea961b0c9c2e2b8f5aa0a51cfa4c1d329c55c6cb58b0cc108112ca2

Observation 5b7d4dbe-6b02-4b85-a969-eaefb9992015 · outbound

This paper cites Chern number and edge states in the intege r quantum hall effect.

Bulk-edge correspondence in finite photonic structure Chern number and edge states in the intege r quantum hall effect

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:46.075443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.697814Z digest=sha256:b205217966fe4270a18bd8c68c0b1d7ffb893274ec440be0ee1940f373b9ba90

Observation 055d11a3-b5a9-4cac-a5cd-feb513a41d54 · outbound

This paper cites The green function estimates for strongly elliptic systems of second order.

Bulk-edge correspondence in finite photonic structure The green function estimates for strongly elliptic systems of second order

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:46.069457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.700346Z digest=sha256:19b9ff55660ac25fbd1a1740e31de9da964af4ff280abd84e3b6cc2909587734

Observation efabe619-17ee-4e94-98e5-71c55dc1d67c · outbound

This paper cites Global pointwise estimates for gr een’s matrix of second order elliptic systems.

Bulk-edge correspondence in finite photonic structure Global pointwise estimates for gr een’s matrix of second order elliptic systems

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:46.063223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.702693Z digest=sha256:d949ff7c8e7ca816735e4d8a3b2ef8bf02a1a6e037ed4628cb17a8a9f5a5b29e

Observation 560df72a-d55c-40d8-abc2-c6dbc37f7003 · outbound

This paper cites Perturbation theory for linear operators , volume 132.

Bulk-edge correspondence in finite photonic structure Perturbation theory for linear operators , volume 132

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-10T14:16:45.705515Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T14:16:45.705515Z digest=sha256:3a347e35cec53323f2d4574ecdd8916adeb0b3f1495d0c80d72a30033a98dde3

Observation 52295f70-05b6-4468-912a-80b1c329d77d · outbound

This paper cites Kellendonk, T.

Bulk-edge correspondence in finite photonic structure Kellendonk, T

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:46.052784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.707887Z digest=sha256:3f2e104b96d4425ffcc4492c7c796c66e1d5e4f4de323dac5816cdb93df2e0df

Observation 1f65402f-a631-4971-941a-9da88cab6301 · outbound

This paper cites Boundary ma ps for c*-crossed products with with an application to the quantum hall effect.

Bulk-edge correspondence in finite photonic structure Boundary ma ps for c*-crossed products with with an application to the quantum hall effect

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:46.045056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.709808Z digest=sha256:5caa7987456fd5f4fb757ed9b0bb1d8995be0fc54007ed9653af5227529133bc

Observation 77eb8d9c-8891-40d9-a0a0-4bd1f1891ea4 · outbound

This paper cites Quantization of edge currents for continuous magnetic operators.

Bulk-edge correspondence in finite photonic structure Quantization of edge currents for continuous magnetic operators

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:46.037644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.711676Z digest=sha256:34839056fba76fc0effe9fa783da66ace67d6eacfab807f09a40275a0cf7661c

Observation d48696f0-321c-4a38-9531-36e6fc00061e · outbound

This paper cites Photonic topological insulators.

Bulk-edge correspondence in finite photonic structure Photonic topological insulators

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:46.029601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.713843Z digest=sha256:52f4037a117e88596526fb1f4c02fbb1a0b11c00c71b8063ba76f246adc3e80f

Observation 459cb978-7418-4556-9421-f910bf62d78b · outbound

This paper cites an unresolved cited work.

Bulk-edge correspondence in finite photonic structure Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-10T14:16:46.022006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.716197Z digest=sha256:4cce2c2098c943cb6ed7673ae32e116cf440eddeb9b17253b5b96fe5829dd1a3

Observation c614d92f-4f39-48db-a910-5ae7dc0f3e19 · outbound

This paper cites Controlled topological phases and bulk-edge c orrespondence.

Bulk-edge correspondence in finite photonic structure Controlled topological phases and bulk-edge c orrespondence

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:46.014748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.718342Z digest=sha256:73f9c0e5271264933fb6357781287efa86088ab5d0e90958a7f9348ecd85ef48

Observation 7de892d2-42c5-4d89-9d27-fc821c4ea501 · outbound

This paper cites Green’s function asymptot ics near the internal edges of spectra of periodic elliptic operators.

Bulk-edge correspondence in finite photonic structure Green’s function asymptot ics near the internal edges of spectra of periodic elliptic operators

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:46.007055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.720177Z digest=sha256:ca1718ab920f0e81f5a29837d5c869241b962f346f5d025c7ac93ca2eaa30a70

Observation 0b940486-29c3-43b0-bb04-2d144465e2b3 · outbound

This paper cites Statistical Physics: Volume 5 , volume 5.

Bulk-edge correspondence in finite photonic structure Statistical Physics: Volume 5 , volume 5

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-10T14:16:45.722149Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T14:16:45.722149Z digest=sha256:aefc81aae197b54add49a33a1aa7bfb6e33a787f14e18db2e72d17ec15984b9a

Observation 619ecf72-2b13-4697-a290-46c235f5d28e · outbound

This paper cites Archive for Rational Mechanics and Analysis , 232:1–63, 2019.

Bulk-edge correspondence in finite photonic structure Archive for Rational Mechanics and Analysis , 232:1–63, 2019

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:45.994657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.724048Z digest=sha256:7e4229715c363912e2bc64f42aa86ea9d2fbbf559a64eb21e9d3fae5a2e28cb0

Observation 249c2f00-c648-4f49-af16-be38eadc96ce · outbound

This paper cites Mathematical theory for topologic al photonic materials in one dimension.

Bulk-edge correspondence in finite photonic structure Mathematical theory for topologic al photonic materials in one dimension

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:45.988306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.726376Z digest=sha256:6f77c3b1bbd5c011f827e693dcd15aa4b75db3d87c6f82cb3b08fb915884de14

Observation afeafa35-5a92-4cdd-aa59-f31749e15981 · outbound

This paper cites Cobordism invariance of topological edge-following states.

Bulk-edge correspondence in finite photonic structure Cobordism invariance of topological edge-following states

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-10T14:16:45.728570Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T14:16:45.728570Z digest=sha256:4ccbdbf943ace9ab23bf53e355ca53a170b4e979f0c6d25b1bb8d9a1564f9234

Observation 17dff1e8-431c-40c8-8a4b-0b83b0e17a9c · outbound

This paper cites The lp resolvents of second-order elliptic opera tors of divergence form under the dirichlet condition.

Bulk-edge correspondence in finite photonic structure The lp resolvents of second-order elliptic opera tors of divergence form under the dirichlet condition

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:45.980664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.731614Z digest=sha256:61935465a1f4d873d2da85d90a34ffce902de7b206f192bca07a2e81d2c82810

Observation 425351fd-c02a-4be9-a310-8caa626544d8 · outbound

This paper cites Price, Alberto Amo, Nathan Goldman, Mohammad Hafezi, Ling Lu, Mikael C.

Bulk-edge correspondence in finite photonic structure Price, Alberto Amo, Nathan Goldman, Mohammad Hafezi, Ling Lu, Mikael C

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:45.972856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.734034Z digest=sha256:2bf0e3eb98e031c1b8aff530214cfdbc9a4b84055f77e6333ab751566a639127

Observation 551f15dc-fea1-4e18-975a-7375d7f48871 · outbound

This paper cites An introduction to quantum field theory.

Bulk-edge correspondence in finite photonic structure An introduction to quantum field theory

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:45.966498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.736356Z digest=sha256:f365ee9a27af100ab184ddd1120ff0706a97bf58577bab41ae252413a4a52a88

Observation f35fc39c-e603-4170-8045-056955414f4b · outbound

This paper cites Bulk and boundary inva riants for complex topological insula- tors.

Bulk-edge correspondence in finite photonic structure Bulk and boundary inva riants for complex topological insula- tors

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:45.960561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.738732Z digest=sha256:22f57e7c71aa716616d43dbfbb717c4da250db4df9d2cd196576531d727e0134

Observation f6267e93-4e10-434b-9901-53a7d709a2d5 · outbound

This paper cites Topological insulators an d superconductors.

Bulk-edge correspondence in finite photonic structure Topological insulators an d superconductors

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:45.955031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.741101Z digest=sha256:252eae401f7d8230232b6dddcef1907779ba645b6a872bd25c722506a56064f3

Observation ab0e4b0b-beca-47f7-828e-39dcef98f5c4 · outbound

This paper cites Methods of modern mathematical physics , volume 1.

Bulk-edge correspondence in finite photonic structure Methods of modern mathematical physics , volume 1

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:45.948500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.743359Z digest=sha256:49f40f2fa283ed7c1792ce7b77aab7a97c372a62a301d319e99e10e007ba7540

Observation 0db6ae5c-f3bf-4fb5-8c4c-87d2735056b0 · outbound

This paper cites Green’s function and convergence of fourier se ries for elliptic differential operators with potential from kato space.

Bulk-edge correspondence in finite photonic structure Green’s function and convergence of fourier se ries for elliptic differential operators with potential from kato space

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:45.940966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.746539Z digest=sha256:7ba843ea2782dbfa52ec40a56c20405bb2b51c5075cb976c84c1b26bd4622618

Observation ade9fc35-4c99-4731-933f-b79a4d4b4da1 · outbound

This paper cites Tight-binding reduction a nd topological equivalence in strong magnetic fields.

Bulk-edge correspondence in finite photonic structure Tight-binding reduction a nd topological equivalence in strong magnetic fields

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:45.933895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.749477Z digest=sha256:c7d0867cada3f99485950831a514295b43b552198fcd55fd4a25f4e8d2335779

Observation 3f43d2db-0065-46fb-8972-f4ade468ff9b · outbound

This paper cites Silveirinha.

Bulk-edge correspondence in finite photonic structure Silveirinha

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:45.927104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.751782Z digest=sha256:4350f344e0cea38da7f7010da3aa93ab25aebe24b7e9004fa88bd757a84b7f26

Observation 5398c4f8-90b1-4247-92d1-207d5dce7b6c · outbound

This paper cites Silveirinha.

Bulk-edge correspondence in finite photonic structure Silveirinha

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:45.919507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.754041Z digest=sha256:10937fdd85c507224b43aaaf1b5c52a2dd54dd4399ff81b2068e3f66eb77a731

Observation 1ee33474-860e-4767-9688-e377082c2ce1 · outbound

This paper cites Silveirinha.

Bulk-edge correspondence in finite photonic structure Silveirinha

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:45.912764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.756525Z digest=sha256:8d23e0b6ffae12fbca815d8cf161d118dc2fbc708e9823c2a0f88ff22903eded

Observation 2861434e-b767-4a8e-9d9a-92e130c9aa36 · outbound

This paper cites Quantum Hall Effect.

Bulk-edge correspondence in finite photonic structure Quantum Hall Effect

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:45.905090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.759435Z digest=sha256:86c3754f1ce62185eb4c675dfb744b026b2d19251f16045875f0f2c9742d6f98

Observation b2157382-6e91-40cf-8d42-8db37069b1c5 · outbound

This paper cites Equality of bulk and edge hall conductances for continuous magnetic random schr¨ odinger operators, 2014.

Bulk-edge correspondence in finite photonic structure Equality of bulk and edge hall conductances for continuous magnetic random schr¨ odinger operators, 2014

Reference 62

Resolution
unresolved
no resolver link, observed 2026-08-10T14:16:45.761713Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T14:16:45.761713Z digest=sha256:ce003cb613c559bf53792d3f3745c576b9ef8c7ca0d96b1a6d0eb544a5d854c2

Observation 2d84e01d-7131-4d0d-8766-79f64292b2e8 · outbound

This paper cites The green function for elliptic systems in two dimensions.

Bulk-edge correspondence in finite photonic structure The green function for elliptic systems in two dimensions

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:45.894665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.764590Z digest=sha256:a18fa5fa1a4dce82f29d2dd3e55a52e8c91f6d0e8c89f1d2ba46eb6c34617789

Observation 23613c02-1ff3-4484-9333-5385a9a366f7 · outbound

This paper cites Bulk-interface corresponde nces for one-dimensional topological ma- terials with inversion symmetry.

Bulk-edge correspondence in finite photonic structure Bulk-interface corresponde nces for one-dimensional topological ma- terials with inversion symmetry

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:45.885994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.766912Z digest=sha256:2351c9be5dfb9de1a0c155973dbb1ba76651b062b710d87a992e091d5be44d0c

Observation e17c215c-cc07-484f-a833-1e8b16aa48ac · outbound

This paper cites Kinetic theory.

Bulk-edge correspondence in finite photonic structure Kinetic theory

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:45.879021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.769306Z digest=sha256:38efa8aaf51f698363da4a0234c8a92b6c31b0ccc4b149282a4f8a40f73d62bc

Observation e07383e2-27f1-44b1-b07b-9f0f82436c8f · outbound

This paper cites Lectures on the quantum hall effect, 2016.

Bulk-edge correspondence in finite photonic structure Lectures on the quantum hall effect, 2016

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:45.871754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.772432Z digest=sha256:3711e86f3e3e087188b4ea267bf7a73287ead8a7607b8fceeb41336d7c298581

Observation c2032da5-67c3-4cfd-ac5b-8ad9210e3127 · outbound

This paper cites 40 years of the quantum hall effect.

Bulk-edge correspondence in finite photonic structure 40 years of the quantum hall effect

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:45.864129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.774737Z digest=sha256:22ce1474bb971ba28e92c40df09af2d21fbd60cefdb7244d370d7ff469d308ee

Observation 81f2a21b-5036-4140-aed7-9a33d802ae32 · outbound

This paper cites Uniform estimates of resolvents in homogenization th eory of elliptic systems.

Bulk-edge correspondence in finite photonic structure Uniform estimates of resolvents in homogenization th eory of elliptic systems

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:45.857505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.777428Z digest=sha256:ea2f6e84cd9043e0aeedff0689f89f9625dbe8160bf671b9d53ecc376419ad75

Observation cd21ef56-f713-48d5-8db1-b959bbd8fcb4 · outbound

This paper cites Observation of unidirectional backscattering-immune topological electromagnetic states.

Bulk-edge correspondence in finite photonic structure Observation of unidirectional backscattering-immune topological electromagnetic states

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:45.851802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.779947Z digest=sha256:6c8e0cffa577aa87f2ff7cb29e1ac86ebcddcb30be32bd7d7c3aa0892f1dc820

Observation b8dac08c-3546-4841-9a88-0713d9d8b3a2 · outbound

This paper cites Interband transitions in photonic crystals.

Bulk-edge correspondence in finite photonic structure Interband transitions in photonic crystals

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:45.846047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.782093Z digest=sha256:7c04fae88468422455686976f5e1f4cf8a72bd57a37af583413888a2ddc3daf7

Observation e7935fbc-3b5a-49f5-96d6-4fdcf86b809c · outbound

This paper cites an unresolved cited work.

Bulk-edge correspondence in finite photonic structure Unresolved cited work

Reference 71

Resolution
unresolved
raw_fallback, observed 2026-08-10T14:16:45.840229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T14:16:45.784828Z digest=sha256:20e913976d0ca432b63cfc0087c191327fbe6dfc0831b9fcd4f1ae5f9204fe7a

Pith citing papers

Observation 25afca19-dfbd-4de4-8a7e-bd96cd34694c · inbound

Generalized bulk-interface correspondence for non-quantized spin transport cites this paper.

Generalized bulk-interface correspondence for non-quantized spin transport Bulk-edge correspondence in finite photonic structure

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-07T15:10:42.098153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:10:42.098153Z digest=sha256:3eed959eefad3029fdf23a9e73bf0c0a8f176c5282e5dc69678126ad859ad30d

Observation 4ea66c94-db5a-4147-ac56-2af9daaba4dd · inbound

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions cites this paper.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Bulk-edge correspondence in finite photonic structure

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-05T10:26:32.941180Z

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source=pdf_text observed=2026-08-05T10:26:32.941180Z digest=sha256:27d83ac408e105b611065222978242ac58342bb924a96e5ddd3c54b812489a5c

Observation 80f18cff-6937-4a2f-a6b9-d826aa08da5c · inbound

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems cites this paper.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Bulk-edge correspondence in finite photonic structure

Reference 58

Resolution
unresolved
no resolver link, observed 2026-08-03T17:07:45.159487Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-03T17:07:45.159487Z digest=sha256:fc8be53c0c165001b9871c47fcc1a19f5b549699b09e40edc39594e8492c2734

Observation 2beffac3-81ff-4835-8a74-eb4ce2f3fab1 · inbound

Robustness of Valley-Hall Interface Modes Against Sharp Bending cites this paper.

Robustness of Valley-Hall Interface Modes Against Sharp Bending Bulk-edge correspondence in finite photonic structure

Reference 56

Resolution
verified exact
arxiv_id, observed 2026-06-29T01:02:56.215495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-29T00:58:12.721888Z digest=sha256:6ce90e6440c4493eed9496cacc62d6f3333539e187a0e4d25a5730fed1e9ad78

Observation fc9dc9f5-0d0d-46b4-9332-f9078bf293df · inbound

Resolvent Convergence and Patch Approximation for Subwavelength Guided Modes in Non-Periodic Systems of High-Contrast Resonators cites this paper.

Resolvent Convergence and Patch Approximation for Subwavelength Guided Modes in Non-Periodic Systems of High-Contrast Resonators Bulk-edge correspondence in finite photonic structure

Reference 42

Resolution
verified exact
arxiv_id, observed 2026-06-28T20:32:37.312523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-28T20:29:27.710699Z digest=sha256:c410ff924450063889c2a8a580eb692d99e3c50bcaa9541a499f2a6e5e2e9293

Observation 2af5066c-af5e-4281-b4d0-2c50dfc7bd1b · inbound

Exceptional light propagation via generalized bulk-edge correspondence cites this paper.

Exceptional light propagation via generalized bulk-edge correspondence Bulk-edge correspondence in finite photonic structure

Reference 36

Resolution
unresolved
no resolver link, observed 2026-07-12T04:37:50.633010Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T04:37:50.633010Z digest=sha256:d33b4fc4acf5ecb082dc62e27545eeeb58068df104cbf4bb6e1e86ea2b721c27