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Paper Citation Record · LEDGER

A Rellich-type theorem for the Helmholtz equation in a junction of stratified media

As of 20 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2504.17345.

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

pith.paper-citation-record.v1
2504.17345 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T10:53:41.664638Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

20 of 20 outbound references displayed

  • verified exact6
  • verified fuzzy7
  • unresolved2
  • parse uncertain0
  • malformed identifier5
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 63907471-e056-45b8-b2ad-fd03e69c28fc · outbound

This paper cites an unresolved cited work.

A Rellich-type theorem for the Helmholtz equation in a junction of stratified media Unresolved cited work

Reference 1

Resolution
malformed identifier
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 091a3762-6775-4a77-8657-a06e50e14e73 · outbound

This paper cites Bonnet-Ben Dhia, G.

A Rellich-type theorem for the Helmholtz equation in a junction of stratified media Bonnet-Ben Dhia, G

Reference 2

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malformed identifier
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation a51933a6-3593-4cce-a08f-03e9249a9b5e · outbound

This paper cites Bonnet-Ben Dhia, S.

A Rellich-type theorem for the Helmholtz equation in a junction of stratified media Bonnet-Ben Dhia, S

Reference 3

Resolution
verified exact
doi, observed 2026-08-16T10:53:41.977426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 45c757f2-44ea-4fd9-8b8f-1abe7e6c9d54 · outbound

This paper cites Bonnet-Ben Dhia, B.

A Rellich-type theorem for the Helmholtz equation in a junction of stratified media Bonnet-Ben Dhia, B

Reference 4

Resolution
verified exact
doi, observed 2026-08-16T10:53:41.936794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 682e82d6-d692-4a31-8395-9cdc6bb1508e · outbound

This paper cites DeBi `evre and D.

A Rellich-type theorem for the Helmholtz equation in a junction of stratified media DeBi `evre and D

Reference 5

Resolution
verified exact
doi, observed 2026-08-16T10:53:41.880236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 9568916a-f844-4ee0-98f8-3d5e4d7bf36b · outbound

This paper cites Dyatlov and M.

A Rellich-type theorem for the Helmholtz equation in a junction of stratified media Dyatlov and M

Reference 6

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 85e51ee8-623b-4378-993d-66486c297d6c · outbound

This paper cites Landis' conjecture: a survey.

A Rellich-type theorem for the Helmholtz equation in a junction of stratified media Landis' conjecture: a survey

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-16T10:53:41.395609Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T10:53:41.395609Z digest=sha256:1a3e9c52a0bc7d3d5adbd758d1c1562cbdd0b1aaa4c3b4cf7ecde2350458c5e3

Observation cf03f104-71c7-4315-8e62-477dc8680855 · outbound

This paper cites Hazard, On the absence of trapped modes in locally perturbed open waveguides , IMA Jour- nal of Applied Mathematics, 80 (2015), pp.

A Rellich-type theorem for the Helmholtz equation in a junction of stratified media Hazard, On the absence of trapped modes in locally perturbed open waveguides , IMA Jour- nal of Applied Mathematics, 80 (2015), pp

Reference 8

Resolution
malformed identifier
no resolver link, observed 2026-08-16T10:53:41.521709Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T10:53:41.521709Z digest=sha256:569587d5990a79b738b84f15e831787f5c052c104fbcb6ac8a30457b20f48364

Observation 277fd598-566a-4999-9543-11f724dccbd8 · outbound

This paper cites Kirsch, An Introduction to the Mathematical Theory of Inverse Problems , Springer New York, 2011, https://doi.org/10.1007/978-1-4419-8474-6.

A Rellich-type theorem for the Helmholtz equation in a junction of stratified media Kirsch, An Introduction to the Mathematical Theory of Inverse Problems , Springer New York, 2011, https://doi.org/10.1007/978-1-4419-8474-6

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-16T10:53:41.527217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T10:53:41.527217Z digest=sha256:78864ba979170607c8b4474658fc3050760a39e6a8932574b2bce3b4e9f06ee5

Observation eb2cea90-b6f9-4e6e-aebf-fa78a3deb0cc · outbound

This paper cites Krejˇciˇrik and V.

A Rellich-type theorem for the Helmholtz equation in a junction of stratified media Krejˇciˇrik and V

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:53:42.599137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 15d1af90-2d83-4571-aa49-efcad6cfddb7 · outbound

This paper cites Linton and P.

A Rellich-type theorem for the Helmholtz equation in a junction of stratified media Linton and P

Reference 11

Resolution
verified exact
doi, observed 2026-08-16T10:53:41.734882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation d96edc5a-aa8d-496d-b412-f22f2d4b6ba7 · outbound

This paper cites an unresolved cited work.

A Rellich-type theorem for the Helmholtz equation in a junction of stratified media Unresolved cited work

Reference 12

Resolution
verified exact
raw_fallback, observed 2026-08-16T10:53:42.167648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T10:53:41.559237Z digest=sha256:74d1994095fe544cc4ef3bdce227dafcdd71e11c88c9b716d1f53def5102dda7

Observation 2cbc3a89-5184-4e87-b8a3-0e61b2b7e02d · outbound

This paper cites Pagneux, Trapped modes and edge resonances in acoustics and elasticity , in Dynamic Localization Phenomena in Elasticity, Acoustics and Electromagnetism, R.

A Rellich-type theorem for the Helmholtz equation in a junction of stratified media Pagneux, Trapped modes and edge resonances in acoustics and elasticity , in Dynamic Localization Phenomena in Elasticity, Acoustics and Electromagnetism, R

Reference 13

Resolution
malformed identifier
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 1868a8a0-19bb-4ce3-a7d6-bc34ad4a21b9 · outbound

This paper cites Rellich, ¨Uber das asymptotische verhalten der l¨ osungen vonδu+λu = 0 in unendlichen ge- bieten, Jahresber.

A Rellich-type theorem for the Helmholtz equation in a junction of stratified media Rellich, ¨Uber das asymptotische verhalten der l¨ osungen vonδu+λu = 0 in unendlichen ge- bieten, Jahresber

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:53:42.478219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation a1c3d2cd-f1a9-451c-820a-9947b57d0443 · outbound

This paper cites Santosa and R.

A Rellich-type theorem for the Helmholtz equation in a junction of stratified media Santosa and R

Reference 15

Resolution
malformed identifier
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T10:53:41.639465Z digest=sha256:21951b4bfacc275e2cd2849952d1e10ad2855a53ca8cc270cedaae58ea825953

Observation e47eb486-864a-4e9c-8e5f-26bf8927cad3 · outbound

This paper cites Schechter, Operator Methods in Quantum Mechanics, Elsevier North Holland, Inc., 1981.

A Rellich-type theorem for the Helmholtz equation in a junction of stratified media Schechter, Operator Methods in Quantum Mechanics, Elsevier North Holland, Inc., 1981

Reference 16

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T10:53:41.645480Z digest=sha256:2fced8d07bf24eb883b6432a8eecfcb9e49abd8bbd84aad9cf5816843efe0b0e

Observation 5f2c4d52-620a-4ab0-b920-6b48800b79a0 · outbound

This paper cites Titchmarsh, Eigenfunction expansions associated with second order differential equations , Oxford Clarendon Press, 1946.

A Rellich-type theorem for the Helmholtz equation in a junction of stratified media Titchmarsh, Eigenfunction expansions associated with second order differential equations , Oxford Clarendon Press, 1946

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:53:42.335177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T10:53:41.650790Z digest=sha256:123ab8a09489b9b7e0e138cd02c18490d1305f814127353697e745e6e34db7b6

Observation cec9f1c2-b40d-45c9-80d1-cc9189632b87 · outbound

This paper cites an unresolved cited work.

A Rellich-type theorem for the Helmholtz equation in a junction of stratified media Unresolved cited work

Reference 18

Resolution
verified exact
doi, observed 2026-08-16T10:53:41.711793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T10:53:41.655438Z digest=sha256:9485186d5bba97f77b9363601d69df12ecc7a968e459b9d7968066c958338f54

Observation 39c7b422-6edb-49d1-ad68-4dd030873c05 · outbound

This paper cites Weder, Absence of eigenvalues of the acoustic propagator in deformed wave guides , The Rocky Mountain Journal of Mathematics, (1988), pp.

A Rellich-type theorem for the Helmholtz equation in a junction of stratified media Weder, Absence of eigenvalues of the acoustic propagator in deformed wave guides , The Rocky Mountain Journal of Mathematics, (1988), pp

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:53:42.280564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 0002e9dc-4d33-4994-b869-ca5791f5e56b · outbound

This paper cites Weder, Spectral and Scattering Theory for Wave Propagation in Perturbed Stratified Media, vol.

A Rellich-type theorem for the Helmholtz equation in a junction of stratified media Weder, Spectral and Scattering Theory for Wave Propagation in Perturbed Stratified Media, vol

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:53:42.236206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Pith citing papers

No inbound Pith citation observations are available.