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Paper Citation Record · LEDGER

A spectral approach to the narrow escape problem in two-dimensional domains

As of 7 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2608.05007.

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

pith.paper-citation-record.v1
2608.05007 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T11:52:43.573539Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+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

37 of 37 outbound references displayed

  • verified exact2
  • verified fuzzy26
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 58b3c6e5-6ca8-46e1-bb8a-045f93e15f73 · outbound

This paper cites Ammari, K.

A spectral approach to the narrow escape problem in two-dimensional domains Ammari, K

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:52:44.316979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

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Observation a862b10c-7dce-4b76-af22-d480bfee929b · outbound

This paper cites Ammari, H.

A spectral approach to the narrow escape problem in two-dimensional domains Ammari, H

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:52:44.301092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:52:43.397422Z digest=sha256:8a5cc3e1368e207d977de38ebf06db595e81f9492acebee49fb20fc7d1afdc92

Observation e62c49d1-fa49-4a5d-8710-9049fc01c0cf · outbound

This paper cites an unresolved cited work.

A spectral approach to the narrow escape problem in two-dimensional domains Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-06T11:52:44.282333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:52:43.403026Z digest=sha256:cb521b7c6799fe04a4da9d5e5ca2a578fddaf00bb0e03ac1ba18613544c2aef5

Observation 87a8f9c6-0a96-400d-ba64-01eba09256e4 · outbound

This paper cites B´ enichou and R.

A spectral approach to the narrow escape problem in two-dimensional domains B´ enichou and R

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:52:44.266155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:52:43.407936Z digest=sha256:b93a1bb08e5061c0498738d7b3d4984406135eaa3445ecd74e70e59a47bcd528

Observation a3d6163f-a586-4cda-a1a7-05c1a218fb11 · outbound

This paper cites Br´ ezis,Functional analysis, sobolev spaces and partial differential equations, Vol.

A spectral approach to the narrow escape problem in two-dimensional domains Br´ ezis,Functional analysis, sobolev spaces and partial differential equations, Vol

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:52:44.248873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:52:43.412628Z digest=sha256:7134c5cf23d72cb089e25d5d0fc0642c9f181ece8561cbed4522e3bb614974b9

Observation 3527030e-461b-433c-8364-3ae4960fafac · outbound

This paper cites Carillo, T.

A spectral approach to the narrow escape problem in two-dimensional domains Carillo, T

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:52:44.232882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:52:43.417449Z digest=sha256:78f3e275f4ed45f530927cb9c6916521c8762e977b7620b54257102567b74b42

Observation 655b9a22-b17c-4e7d-ba46-ad0cf2cae00b · outbound

This paper cites Champagnat and D.

A spectral approach to the narrow escape problem in two-dimensional domains Champagnat and D

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:52:44.215421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:52:43.422649Z digest=sha256:61fa2c8216d234b3fdf3c453116b28e3f1745b07afa5c8f709ac2434f31bc3e4

Observation 22439de2-6ab6-4c7d-9c0c-b7dcb9bc85c6 · outbound

This paper cites Chen and A.

A spectral approach to the narrow escape problem in two-dimensional domains Chen and A

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:52:44.198677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:52:43.427951Z digest=sha256:a45caa0768f9943e65c639da684dd224e7847df216d74563beb13217f45b37d2

Observation 1f932ac2-fcfe-4bfc-acff-d3aa14ddb023 · outbound

This paper cites an unresolved cited work.

A spectral approach to the narrow escape problem in two-dimensional domains Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-06T11:52:44.178993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:52:43.432580Z digest=sha256:95d37b3a9a862d5b52baabbbdfce5f9ce26ee21310c39adc584262df54bb4874

Observation 246893fe-02d5-4b2e-bdb7-f82e1d30e7ab · outbound

This paper cites Collet, S.

A spectral approach to the narrow escape problem in two-dimensional domains Collet, S

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:52:44.160801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:52:43.437494Z digest=sha256:86071956db551b4b18c8bf5e75751b96b58a6bbb9a47e34a4fa298e70bc69243

Observation f9141dea-015a-4b8d-8a9f-d1e801fc63e4 · outbound

This paper cites Di Ges` u, T.

A spectral approach to the narrow escape problem in two-dimensional domains Di Ges` u, T

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:52:44.143422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:52:43.442381Z digest=sha256:68ac004b7b7da76376d13501f267991144c15375adba6377103686dc0fd4d256

Observation 2888703d-a714-4a5b-9475-bbd15c42c286 · outbound

This paper cites an unresolved cited work.

A spectral approach to the narrow escape problem in two-dimensional domains Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-06T11:52:44.127109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:52:43.447148Z digest=sha256:9f5b6aabffcb0eecf925e465d84a8bc789790e75b63a319927543a6211dbda85

Observation d0b484b3-af09-46c5-92b7-d062b21f9243 · outbound

This paper cites I Freidlin and A.

A spectral approach to the narrow escape problem in two-dimensional domains I Freidlin and A

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:52:44.110082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:52:43.451765Z digest=sha256:35ebdf93d9daff86b62139d523ad609e3ec5e8ee708aeda38be344d14655f334

Observation 6ec38f21-4dbe-467e-b9cc-05487e6a3082 · outbound

This paper cites an unresolved cited work.

A spectral approach to the narrow escape problem in two-dimensional domains Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-06T11:52:44.085456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:52:43.456454Z digest=sha256:c1e2b8621f5ccacbaa3a00a69c700f8b013e3aeaac0fc969362029ccc7b1082d

Observation ef55162c-cc57-4208-831a-bbb3e3ebc1ae · outbound

This paper cites an unresolved cited work.

A spectral approach to the narrow escape problem in two-dimensional domains Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-06T11:52:44.067825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:52:43.461243Z digest=sha256:b8809e6880daf4da5b03c1caff3720dbe5b0f1fe1ee59e01ee1b3d64143a3c2c

Observation 6ea246a0-204b-418d-b756-d4724f6d253e · outbound

This paper cites Gilbarg and N.

A spectral approach to the narrow escape problem in two-dimensional domains Gilbarg and N

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:52:44.049792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:52:43.465816Z digest=sha256:43182247fc2a473ae502d7a827fd97983d5592ede86b2c04155d9fbb864e3ae0

Observation c87cffc0-b337-4e9d-ad56-169eff7637e1 · outbound

This paper cites S Grebenkov, R.

A spectral approach to the narrow escape problem in two-dimensional domains S Grebenkov, R

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:52:44.031311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:52:43.470574Z digest=sha256:0a743f3740fcbf6e2d15baf894e215629262123848bb4d0107d8f6eeb77c34f1

Observation 1aaf490a-1698-48fd-a77e-4f02f647d0b6 · outbound

This paper cites V Grigoriev, Y.

A spectral approach to the narrow escape problem in two-dimensional domains V Grigoriev, Y

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:52:44.014535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:52:43.475334Z digest=sha256:ec655449a080334e877a9e25bdac904fd93134d90a7e63d29552f19ab1414f8e

Observation 4d2649c7-ff32-4ce0-8209-36db6f5891c1 · outbound

This paper cites Holcman and Z.

A spectral approach to the narrow escape problem in two-dimensional domains Holcman and Z

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:52:43.998195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:52:43.480267Z digest=sha256:07dcd719862dd75e1baa8fb13afc54fcd2165a757fef216e108d5fed7ac3e6cb

Observation 8b7b1196-4bf3-4db7-b200-feee7fd3a1af · outbound

This paper cites Asymptotic analysis on narrow tubes: narrow escape problems and diffusion processes.

A spectral approach to the narrow escape problem in two-dimensional domains Asymptotic analysis on narrow tubes: narrow escape problems and diffusion processes

Reference 20

Resolution
verified exact
local_arxiv, observed 2026-08-06T11:52:43.725127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:52:43.484954Z digest=sha256:f0911ef4d317e8017222bda8db40878d988cd4d7495c81c57571c99e86c82289

Observation 21efa938-649e-4d6b-845f-2841355abab4 · outbound

This paper cites https://arxiv.org/abs/2511.21548v2.

A spectral approach to the narrow escape problem in two-dimensional domains https://arxiv.org/abs/2511.21548v2

Reference 21

Resolution
verified exact
raw_fallback, observed 2026-08-06T11:52:43.699820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:52:43.490207Z digest=sha256:06c300c8116b0d34b8e1696867e44cd7254fae79b222754183a1138fb876afae

Observation fa05e793-2293-4ce9-80ae-753544f3d321 · outbound

This paper cites Leli` evre, D.

A spectral approach to the narrow escape problem in two-dimensional domains Leli` evre, D

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:52:43.982544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:52:43.495164Z digest=sha256:d7a2a7c542be5d8d6c624ec25ea6069d8ace5cd9c1fa20474f50b8a73bad8304

Observation 3cf1f2f5-0161-4291-b1aa-73a0fd48b0e3 · outbound

This paper cites A spectral approach to the narrow escape problem in the disk.

A spectral approach to the narrow escape problem in two-dimensional domains A spectral approach to the narrow escape problem in the disk

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-06T11:52:43.500113Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T11:52:43.500113Z digest=sha256:4f6f6ba005b572003a09db92eb2104c3891f1dcee60ff701338b35c8eef47e8e

Observation 6a907934-6868-4eff-973f-2d6a223cc71d · outbound

This paper cites an unresolved cited work.

A spectral approach to the narrow escape problem in two-dimensional domains Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-06T11:52:43.966254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:52:43.506355Z digest=sha256:d36e5ca5c21e93ca1683d8ac1dcb3f1abd67fdda6a490b2c01b47164070bea59

Observation 3c1779b5-5ac3-4824-8fbb-1280c85c2058 · outbound

This paper cites Lions and A.-S.

A spectral approach to the narrow escape problem in two-dimensional domains Lions and A.-S

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:52:43.949178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:52:43.511267Z digest=sha256:e7886bf52eddbce7c980f9fcd58eecf872bdcc2711062a578e5ab09e9216aa67

Observation 1551e533-a656-410b-ab7c-95fe37589d49 · outbound

This paper cites an unresolved cited work.

A spectral approach to the narrow escape problem in two-dimensional domains Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-06T11:52:43.933604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:52:43.516279Z digest=sha256:c36a0f3e8ca385429140431e01dfa09f5a213f95fd49c2618e0011e39fcfcec1

Observation 59721e93-1af7-47b6-8115-a71fba0d105f · outbound

This paper cites Nursultanov, J.

A spectral approach to the narrow escape problem in two-dimensional domains Nursultanov, J

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:52:43.917031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:52:43.520889Z digest=sha256:bd2e3b02f84a718c382a803d17077890c37cb30dd93e6c80189fbfeb6b969b5f

Observation b248cc64-ed04-4255-acc4-f799df23e3ee · outbound

This paper cites Pillay, M.

A spectral approach to the narrow escape problem in two-dimensional domains Pillay, M

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:52:43.899171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:52:43.527539Z digest=sha256:af65209805ef042cd7a4f0d70a57166eebb374db36d12223514648801d4a7c16

Observation 324465d1-9843-4d7a-99e7-5b7774ffda7e · outbound

This paper cites Rudin,Real and complex analysis(1974).

A spectral approach to the narrow escape problem in two-dimensional domains Rudin,Real and complex analysis(1974)

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:52:43.880048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:52:43.532962Z digest=sha256:54f7c023684f6a690e589b3cc002c5d69a262d323d1f5eab3721e1a52e9c2a2d

Observation 7e112bd2-ff4b-4a60-9bff-21be4885acca · outbound

This paper cites Schuss, A.

A spectral approach to the narrow escape problem in two-dimensional domains Schuss, A

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:52:43.863163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:52:43.537778Z digest=sha256:20771e1659e03d9f2b8e40d26c4817b85c77c2542b6a1747cbbdd4004f87be57

Observation 6bd30286-587b-4714-b9d4-71caa3f181c1 · outbound

This paper cites Singer, Z.

A spectral approach to the narrow escape problem in two-dimensional domains Singer, Z

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:52:43.846829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:52:43.542674Z digest=sha256:89ef49a2a8b91991091167a6e37901bbfa217dedcfee1949d2e5d7847e206ea8

Observation c8f557b4-c780-4919-a1d3-66f21f853b84 · outbound

This paper cites Singer, Z.

A spectral approach to the narrow escape problem in two-dimensional domains Singer, Z

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:52:43.831201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:52:43.547182Z digest=sha256:457b8fe6b61431a13784fde180215f2308df03bebda37698192da2a061caf76e

Observation 153294b5-3cb0-44f1-9e17-6dd8185f4fa2 · outbound

This paper cites Singer, Z Schuss, and D.

A spectral approach to the narrow escape problem in two-dimensional domains Singer, Z Schuss, and D

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:52:43.815108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:52:43.551846Z digest=sha256:4a2f7787c4552bcfe580feea9b812708149e004f6a12acc7ac796c57ae512943

Observation bdd7b814-a120-47bb-a00c-80d9f6630643 · outbound

This paper cites S Strichartz,A guide to distribution theory and fourier transforms, World Scientific Publishing Company, 2003.

A spectral approach to the narrow escape problem in two-dimensional domains S Strichartz,A guide to distribution theory and fourier transforms, World Scientific Publishing Company, 2003

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:52:43.797397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:52:43.558053Z digest=sha256:52eac3301a0fa50ac5e41cdf1c397968b63df7ba7af8462c55e6b099a0d70268

Observation a1bb977e-9653-4491-9323-c2059372e132 · outbound

This paper cites W Stroock and S.

A spectral approach to the narrow escape problem in two-dimensional domains W Stroock and S

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:52:43.779288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:52:43.563337Z digest=sha256:de2874b6478a301a8a2f851ab173a2d3d75a1b8c6c91d5abadd20c15bbe195be

Observation b4f44a7f-913c-48f1-8b34-18cc25570404 · outbound

This paper cites an unresolved cited work.

A spectral approach to the narrow escape problem in two-dimensional domains Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-06T11:52:43.761766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:52:43.568539Z digest=sha256:8e23379ae9326d23d54ebd62c738d9c16bc9647d0d6a162306007347ed5c19fa

Observation 2c234fbd-04b3-408b-91ac-7a5256b49b5e · outbound

This paper cites Watanabe,On stochastic differential equations for multi-dimensional diffusion processes with boundary conditions, Journal of Mathematics of Kyoto University11(1971), no.

A spectral approach to the narrow escape problem in two-dimensional domains Watanabe,On stochastic differential equations for multi-dimensional diffusion processes with boundary conditions, Journal of Mathematics of Kyoto University11(1971), no

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:52:43.743858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:52:43.573539Z digest=sha256:07afeaf83cf6efe3fbee464a36745121b7b10fce3c6c4c088223aae1bf6de97e

Pith citing papers

No inbound Pith citation observations are available.