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Paper Citation Record · LEDGER

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems

As of 19 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 2 inbound Pith citation observations for arXiv:2412.14698.

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

pith.paper-citation-record.v1
2412.14698 v1

Coverage vector

measured 58 of 58 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T12:04:47.107541Z

measured 60 of 60 standing notices

One-hop event checks from named stored sources.

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

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T05:16:33.638027Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-09T18:04:15.418248Z

Reference resolution

58 of 58 outbound references displayed

  • verified exact11
  • verified fuzzy23
  • unresolved23
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 542679a3-1543-434c-a9d2-358c502f2b53 · outbound

This paper cites Askes and E.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Askes and E

Reference 1

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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.

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Observation 6f3c60e8-accf-4c48-9062-39f94a9ce04c · outbound

This paper cites On Instability Properties of the Fractional Calder\'{o}n Problem.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems On Instability Properties of the Fractional Calder\'{o}n Problem

Reference 2

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no resolver link, observed 2026-08-11T12:04:46.901684Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:04:46.901684Z digest=sha256:38f18afd3a0c207fc62e11fa1efd8eeb037d2bc89ab5020c80e066ffe1b6ee95

Observation ba138f8e-6675-46c7-90f5-befe0333327b · outbound

This paper cites Banerjee and S.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Banerjee and S

Reference 3

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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=2026-08-11T12:04:46.905786Z digest=sha256:dcc3fb04f5c1fa0cf9a3de48da43c20af82f6fbb78da8d22da311adf5f979b18

Observation de36037a-dc64-4ecc-9d72-9a393b74d7b9 · outbound

This paper cites Carpinteri, P.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Carpinteri, P

Reference 4

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raw_fallback, observed 2026-08-11T12:04:47.798043Z

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.

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Observation 5a0f3762-2c65-41e0-997e-849c348675d1 · outbound

This paper cites Ceki´ c, Y-H.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Ceki´ c, Y-H

Reference 5

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no resolver link, observed 2026-08-11T12:04:46.914232Z

Source-reported events for the cited work

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Observation 641abc99-fb5f-4b61-a2c0-5a63252bd49a · outbound

This paper cites Choulli and E.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Choulli and E

Reference 6

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

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Observation f21a7384-c1ab-4677-bfd9-f2056e2e4ec7 · outbound

This paper cites an unresolved cited work.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Unresolved cited work

Reference 7

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doi, observed 2026-08-11T12:04:47.230701Z

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

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Observation 439ebc7b-ae6d-435c-8973-a6e663ba9909 · outbound

This paper cites an unresolved cited work.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Unresolved cited work

Reference 8

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

source=pdf_text observed=2026-08-11T12:04:46.925785Z digest=sha256:6164c6f9d8596380f3c31faad93e387587ae57e8d9eb033625273876ed5097de

Observation 23288613-7706-4855-9909-8805771d2fe1 · outbound

This paper cites Uniqueness for the fractional Calder\'on problem with quasilocal perturbations.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Uniqueness for the fractional Calder\'on problem with quasilocal perturbations

Reference 9

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verified exact
local_arxiv, observed 2026-08-11T12:04:47.314261Z

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

source=pdf_text observed=2026-08-11T12:04:46.933176Z digest=sha256:dde1f048752b1c18b5095c56ddb9fc62bd594671951420426aa5e3a9a3ac1c11

Observation 1efebde2-34e7-4590-bfbf-190aab17cc61 · outbound

This paper cites Uniqueness for the anisotropic fractional conductivity equation.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Uniqueness for the anisotropic fractional conductivity equation

Reference 10

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local_arxiv, observed 2026-08-11T12:04:47.299825Z

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

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Observation c18e9048-8041-47a0-a553-d9f9b6579342 · outbound

This paper cites The inverse problem for the fractional conductivity equation: a survey.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems The inverse problem for the fractional conductivity equation: a survey

Reference 11

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:04:46.940966Z digest=sha256:bfb86ba5ccdc05a551b8d750bbcaad35aa534c7aa9e117c249a13d7fe03b09d4

Observation 7ecf1999-99d9-43b3-a789-244a4c538663 · outbound

This paper cites An inverse problem for fractional random walks on finite graphs.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems An inverse problem for fractional random walks on finite graphs

Reference 12

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local_arxiv, observed 2026-08-11T12:04:47.275439Z

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

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Observation 028f05aa-2af2-45c4-9e56-0f0d755def79 · outbound

This paper cites an unresolved cited work.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Unresolved cited work

Reference 13

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

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Observation 8668c753-b4f0-4a47-a6d1-2b1356971f1b · outbound

This paper cites an unresolved cited work.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Unresolved cited work

Reference 14

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

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Observation 03b1467b-839e-43da-9ad5-350f824fae9b · outbound

This paper cites an unresolved cited work.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Unresolved cited work

Reference 15

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

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Observation 05e7c5c6-0106-4473-a523-7400fcc20803 · outbound

This paper cites an unresolved cited work.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Unresolved cited work

Reference 16

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

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Observation 7d40d1ce-cada-4fc1-96a0-d93bc838a323 · outbound

This paper cites an unresolved cited work.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Unresolved cited work

Reference 17

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

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Observation 58cad39f-5267-48d2-a819-befa930b1c1e · outbound

This paper cites an unresolved cited work.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Unresolved cited work

Reference 18

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

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Observation 40ddaa87-ec1a-47c6-9e6e-1af3acfefb46 · outbound

This paper cites an unresolved cited work.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Unresolved cited work

Reference 19

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

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Observation 1a39bc41-2987-4c9f-bf8c-072be09341b9 · outbound

This paper cites an unresolved cited work.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Unresolved cited work

Reference 20

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

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Observation 501274e3-1406-4f38-b868-4a1a138f3323 · outbound

This paper cites an unresolved cited work.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Unresolved cited work

Reference 21

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

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Observation 415cbfed-c243-4a76-a1d0-56a7a611c16c · outbound

This paper cites an unresolved cited work.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Unresolved cited work

Reference 22

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

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Observation 466775a0-e576-4e6f-9f8c-38c2211f7333 · outbound

This paper cites Eringen, C.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Eringen, C

Reference 23

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Observation 32d758f5-a920-49fb-bfa5-b89020e337b7 · outbound

This paper cites Failla and M.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Failla and M

Reference 24

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

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Observation 2fa5e4db-0111-4fdc-a00f-65dd3e36c8a1 · outbound

This paper cites Calder\'{o}n problem for fractional Schr\"{o}dinger operators on closed Riemannian manifolds.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Calder\'{o}n problem for fractional Schr\"{o}dinger operators on closed Riemannian manifolds

Reference 25

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:04:46.992161Z digest=sha256:54be0924be71ef809e62644d916ee50b22610a4b06c71f1b4599f90fc741ef88

Observation 3c867f4b-5598-40ea-8bc9-b153d796f3e2 · outbound

This paper cites Ghosh, Y.-H.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Ghosh, Y.-H

Reference 26

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

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Observation ac4ca43f-3d7f-4ba5-b676-5550c5d542d5 · outbound

This paper cites Ghosh, A.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Ghosh, A

Reference 27

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raw_fallback, observed 2026-08-11T12:04:47.558748Z

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

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Observation f2f61baf-8bcf-4f7a-8b07-93dfa20008d9 · outbound

This paper cites Ghosh, M.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Ghosh, M

Reference 28

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raw_fallback, observed 2026-08-11T12:04:47.548703Z

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.

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Observation e762ac32-b955-4e26-9799-c91bdb8e2a4f · outbound

This paper cites an unresolved cited work.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Unresolved cited work

Reference 29

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unresolved
raw_fallback, observed 2026-08-11T12:04:47.539093Z

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.

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Observation 29a4ce07-3911-4d55-8967-bb3d28f478b2 · outbound

This paper cites H¨ ormander.The analysis of linear partial differential operators.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems H¨ ormander.The analysis of linear partial differential operators

Reference 30

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:04:47.010323Z digest=sha256:73b78e538382215b87567b770f7bc406a25211a63560c7bf33fc7adc57b5c708

Observation e7d9a69f-2e33-4b98-9330-eb717e3e3c0d · outbound

This paper cites Jin and W.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Jin and W

Reference 31

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no resolver link, observed 2026-08-11T12:04:47.013759Z

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source=pdf_text observed=2026-08-11T12:04:47.013759Z digest=sha256:b97dfaa3dcf0a0d95df235423cc503a00a92e401fa8529fec45574cf34442387

Observation 6e4aa868-9aea-4887-b8a5-3b88777b5eb4 · outbound

This paper cites an unresolved cited work.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Unresolved cited work

Reference 32

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unresolved
raw_fallback, observed 2026-08-11T12:04:47.529364Z

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.

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Observation 9d84d1f2-3ded-4b6e-9942-2ae23cf46b54 · outbound

This paper cites Kow, Y.-H.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Kow, Y.-H

Reference 33

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raw_fallback, observed 2026-08-11T12:04:47.519255Z

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

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Observation 0cb58050-34e9-41ea-8b95-b556b1a49008 · outbound

This paper cites Lai, Y-H.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Lai, Y-H

Reference 34

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no resolver link, observed 2026-08-11T12:04:47.024464Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:04:47.024464Z digest=sha256:645d1d94c00fe75b88387a990d944384fac40890ae19bac8a7e2c6f27f0f2e6f

Observation fa0a33c0-c2ce-4e3d-b724-3ec9d616da81 · outbound

This paper cites On an inverse problem for a fractional semilinear elliptic equation involving a magnetic potential.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems On an inverse problem for a fractional semilinear elliptic equation involving a magnetic potential

Reference 35

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local_arxiv, observed 2026-08-11T12:04:47.251621Z

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

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Observation 378096eb-f6e0-4e99-880c-9317c91045df · outbound

This paper cites an unresolved cited work.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Unresolved cited work

Reference 36

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no resolver link, observed 2026-08-11T12:04:47.032207Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:04:47.032207Z digest=sha256:761dcd0ebdb2d6ba7deaaa6e01d44e33523d0637d293a935364fdcd92f060662

Observation c80d84b8-a247-47cc-923a-a24e8de81365 · outbound

This paper cites Lyakhovsky, Y.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Lyakhovsky, Y

Reference 37

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verified fuzzy
raw_fallback, observed 2026-08-11T12:04:47.509851Z

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=2026-08-11T12:04:47.035712Z digest=sha256:2dda798dc3e6e70f6f0130089d0f40ae2dced23bfd82673e2a4abc0bae094fea

Observation 870b4f95-006f-4753-8063-db1946194bd5 · outbound

This paper cites an unresolved cited work.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Unresolved cited work

Reference 38

Resolution
verified exact
doi, observed 2026-08-11T12:04:47.160587Z

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=2026-08-11T12:04:47.039666Z digest=sha256:fc265857f962df1317a46b7d399faead885094c7fd90f12a3d017a968bb8f585

Observation ef80a911-e0d6-4365-942e-8920cf275189 · outbound

This paper cites an unresolved cited work.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:04:47.499894Z

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=2026-08-11T12:04:47.044014Z digest=sha256:b439ab14cf292c6fee0b2114d2a89493fe03145135a1164d6b832ee50daf00ca

Observation 914937b7-ce35-4d1a-b705-7935e7beafbb · outbound

This paper cites an unresolved cited work.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:04:47.490621Z

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=2026-08-11T12:04:47.048139Z digest=sha256:6387d3120c789f38428e527b77f98b9f61afcf62df6c3958d12ab328cc4cd5f2

Observation 63d0de88-72f2-4f88-bbe6-2533acf6e0d1 · outbound

This paper cites Paternain, M.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Paternain, M

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:04:47.481335Z

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=2026-08-11T12:04:47.052169Z digest=sha256:471c8339ef2b563340194e105380179e3862a34536a2f11c2a49bef0e431a64b

Observation c8ce25f8-86ce-41fa-9597-aefd24711704 · outbound

This paper cites an unresolved cited work.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:04:47.471692Z

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=2026-08-11T12:04:47.055641Z digest=sha256:005d048adb9e0e0981f58cffbe4b8fad3d48879ab9ed5a9f8b3e62351847c979

Observation 240be8be-65e6-4b3a-a500-7ebb75d3ae57 · outbound

This paper cites Railo and P.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Railo and P

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:04:47.462064Z

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=2026-08-11T12:04:47.059321Z digest=sha256:4523d3e19f9ad2b0c9a8bf2a11cca0e521789e2693365511ecca3e77c8bf6f99

Observation 46614b0c-b7e3-4846-b746-514bf9949300 · outbound

This paper cites Railo and P.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Railo and P

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:04:47.452349Z

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=2026-08-11T12:04:47.062630Z digest=sha256:d9b27792261e18d004f6be4aa5db0f4d9b56b81c487c52c36fd7c51c874c80d4

Observation 09ab18e7-3b61-412e-893d-a0019105a9de · outbound

This paper cites Railo and P.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Railo and P

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:04:47.442231Z

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=2026-08-11T12:04:47.066043Z digest=sha256:8d68f944fe7e8e65df30dafaafb35577606b8290ba9ac472b01e7b6e8cbc7db2

Observation 28e7947c-d49a-43b8-9efb-57ba5ca9dcd9 · outbound

This paper cites R¨ uland and M.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems R¨ uland and M

Reference 46

Resolution
verified exact
doi, observed 2026-08-11T12:04:47.150019Z

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=2026-08-11T12:04:47.069743Z digest=sha256:d3ddefabbfafd515330e0610a2bf7adae7da7115053ade707ef396a37d4ddc6c

Observation ac4367ce-1b91-4e86-a234-21971657d58f · outbound

This paper cites R¨ uland.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems R¨ uland

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:04:47.432626Z

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=2026-08-11T12:04:47.073213Z digest=sha256:01687c6ddacb3cd2eaa7b6449abf59e1a8f7dba0ca16a492b4b7ae3684dc2ecf

Observation a2150719-3c21-4217-a84c-90bb45596dd5 · outbound

This paper cites R¨ uland and M.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems R¨ uland and M

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:04:47.422827Z

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=2026-08-11T12:04:47.076551Z digest=sha256:3623393ff3a086da71f65090a1943d5ac642c44dbd166f515c72e43ae5f4ce5b

Observation 54ea8631-0a75-4bf4-ac35-ee138b7fa541 · outbound

This paper cites R¨ uland and M.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems R¨ uland and M

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:04:47.412267Z

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=2026-08-11T12:04:47.080339Z digest=sha256:3c3927d3c429d1f201acdd38110e04d17c9ba2913d80181f8eeab87dcabb2573

Observation bc2c2d09-c2d3-4b51-a19c-ddace3e3728a · outbound

This paper cites R¨ uland and E.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems R¨ uland and E

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:04:47.401791Z

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=2026-08-11T12:04:47.083748Z digest=sha256:93d0efd09e3f1929bbe9a0b39f155a11b2e3a5a13546a428808e0b8037f6b02c

Observation 6ab0bfc9-0542-4f41-9a67-ebe41f3caab6 · outbound

This paper cites an unresolved cited work.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Unresolved cited work

Reference 51

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:04:47.390827Z

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=2026-08-11T12:04:47.087389Z digest=sha256:33fc5d87f6118657148425239fe84592ba5c1c5d6cca80b38533ec5478e5eb16

Observation ff1ae6da-43a2-46c9-8c1f-06f7a3b9bd5d · outbound

This paper cites Tarasov and E.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Tarasov and E

Reference 52

Resolution
verified exact
doi, observed 2026-08-11T12:04:47.139324Z

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=2026-08-11T12:04:47.090697Z digest=sha256:66ecbe22a0474d164f114e20d33684cb7b76474a37c8434b1d34ef2cd521dfb1

Observation 31d3ad3e-8947-4ca1-9a56-47b42a6595dd · outbound

This paper cites Valdinoci.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Valdinoci

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:04:47.379546Z

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=2026-08-11T12:04:47.094279Z digest=sha256:e75331bcea6e4ba7d16f71635b8eaa9b9015cf659332aea8e4192b25582a9cc8

Observation 8a5e756f-13d0-4770-89b4-afec89251a22 · outbound

This paper cites Wang and J.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Wang and J

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:04:47.369025Z

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=2026-08-11T12:04:47.097793Z digest=sha256:ade4051dd4f975e50b9bdc3f7141089448e01961c8dde1e4c0904a9b6f1c02a0

Observation 860dbe73-aba5-4feb-a912-4d655239b44a · outbound

This paper cites Wang and B.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Wang and B

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:04:47.358482Z

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=2026-08-11T12:04:47.100876Z digest=sha256:8c106660ce453b46aaaace006a12cd1c96ea78c52b035d00ecbe946dc7679751

Observation 73a3ff87-48fe-4747-8af1-6218f95c45f5 · outbound

This paper cites Zorica and L.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Zorica and L

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:04:47.347319Z

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=2026-08-11T12:04:47.104304Z digest=sha256:9bd8a1dd96df77f3dfa4e6e0a4fc86f65c34cdaca9f34ed994f18f03e229ec33

Observation b17e7e59-af2e-4ded-a2c7-bdd6849cb964 · outbound

This paper cites an unresolved cited work.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems Unresolved cited work

Reference 57

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:04:47.335582Z

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=2026-08-11T12:04:47.107541Z digest=sha256:620acb0213796fbd27aeaf97fed53b957a479f8cb555b03726dbcced4055c7ff

Observation 0f2cda88-8c90-4f2e-bddd-6fe295e4334a · outbound

This paper cites doi: 10.1088/1361-6420/ab661a.

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems doi: 10.1088/1361-6420/ab661a

Reference 2020

Resolution
verified exact
doi, observed 2026-08-11T12:04:47.219443Z

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=2026-08-11T12:04:46.929386Z digest=sha256:fbe0ca4199aa17225376bdc864b7595be4c4aa896c21aca2f4becca2b089a811

Pith citing papers

Observation 1aa1a224-6061-4f6d-8671-1e92343af7e6 · inbound

The Calder\'on problem for the logarithmic Schr\"odinger equation cites this paper.

The Calder\'on problem for the logarithmic Schr\"odinger equation Geometrical optics for the fractional Helmholtz equation and applications to inverse problems

Reference 1980

Resolution
unresolved
no resolver link, observed 2026-08-11T05:16:33.638027Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T05:16:33.638027Z digest=sha256:f9cecad6bd51e519b511bca7072d04890b76694f7c3a1aba9db0f1709dc3ddd8

Observation 7a19b721-4c58-4e4f-90bd-58acd3531b71 · inbound

Fractional anisotropic Calder\'on problem with external data cites this paper.

Fractional anisotropic Calder\'on problem with external data Geometrical optics for the fractional Helmholtz equation and applications to inverse problems

Reference 25

Resolution
verified exact
local_arxiv, observed 2026-08-09T18:04:15.421872Z

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=2026-08-09T18:04:14.924439Z digest=sha256:bd3d175935730da45dec76498f9e423f108dac027611ffe80a06d1421b079156