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Paper Citation Record · LEDGER

Eigenfunctions with double exponential rate of localization

As of 21 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2501.15354.

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

pith.paper-citation-record.v1
2501.15354 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T14:35:50.534045Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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 exact7
  • verified fuzzy23
  • unresolved7
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4337ac63-644b-4942-b925-869df72ba1fa · outbound

This paper cites Optimal unique continuation for periodic elliptic equations on large scales.

Eigenfunctions with double exponential rate of localization Optimal unique continuation for periodic elliptic equations on large scales

Reference 1

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation ed5a3c8a-8f7f-49bd-8162-2758bccfd45d · outbound

This paper cites 1, 73-113.

Eigenfunctions with double exponential rate of localization 1, 73-113

Reference 2

Resolution
verified fuzzy
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 919975f4-e0a6-4466-a3a7-3df9c45a52c5 · outbound

This paper cites Bourgain and C.

Eigenfunctions with double exponential rate of localization Bourgain and C

Reference 3

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 0cbf2584-8b2c-4698-818b-d1b5f79be428 · outbound

This paper cites Buhovsky, A.

Eigenfunctions with double exponential rate of localization Buhovsky, A

Reference 4

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T14:35:50.408706Z digest=sha256:43f221d43795dc0e6af8d25fa976648c49747eb3b5e13f828f2a523579206a03

Observation 82911c30-d1e5-4e38-9c9c-ab9b529291d4 · outbound

This paper cites an unresolved cited work.

Eigenfunctions with double exponential rate of localization Unresolved cited work

Reference 5

Resolution
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raw_fallback, observed 2026-08-10T14:35:50.997630Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T14:35:50.412569Z digest=sha256:dec2e7236cae41c3112ed57e140ac8b6a8cc4bc51db3555530e63519bd653718

Observation c3c62f29-c737-4e8b-b8c6-064836b194a7 · outbound

This paper cites Davey,Some Quantitative Unique Continuation Results for Eigenfunctions of the Magnetic Schr¨ odinger Operator, Communi- cations in partial differential equations39 (2014), no.

Eigenfunctions with double exponential rate of localization Davey,Some Quantitative Unique Continuation Results for Eigenfunctions of the Magnetic Schr¨ odinger Operator, Communi- cations in partial differential equations39 (2014), no

Reference 6

Resolution
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raw_fallback, observed 2026-08-10T14:35:50.986874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 877275ca-d9ed-4f99-a4f2-b9449e3657d4 · outbound

This paper cites On Landis' conjecture in the plane for potentials with growth.

Eigenfunctions with double exponential rate of localization On Landis' conjecture in the plane for potentials with growth

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-10T14:35:50.659187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T14:35:50.420931Z digest=sha256:20831fca85ba7a673263945d6f887aa35a8d0a52c3a70d80b0b3e3e0ef1becfc

Observation 76dc8bc2-dfba-411f-9a6c-764e3d58684e · outbound

This paper cites Davey, C.

Eigenfunctions with double exponential rate of localization Davey, C

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:35:50.975594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T14:35:50.425004Z digest=sha256:c22c0e5c34079ae3c360eb2df1bb5a4de42abed7d00aec41fffc1b266ac594c8

Observation 21679e7b-0e17-4a74-b52e-5ba99807c2f9 · outbound

This paper cites Ding and C.

Eigenfunctions with double exponential rate of localization Ding and C

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:35:50.963824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T14:35:50.428707Z digest=sha256:ea71eb3184f6cfc18342553dac16a66aeab21416d6ae84d3371163017aeec75e

Observation a007fc31-44e9-4673-b091-2d1a19c64c07 · outbound

This paper cites Large-scale dispersive estimates for acoustic operators: homogenization meets localization.

Eigenfunctions with double exponential rate of localization Large-scale dispersive estimates for acoustic operators: homogenization meets localization

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-10T14:35:50.641273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T14:35:50.432357Z digest=sha256:b8efe44b18977206a98f1bb490a47bcde0fee45ff7495058cf8adc2cb5156fd6

Observation d7fb7dc5-433b-4695-bd72-21e3b18b3c75 · outbound

This paper cites an unresolved cited work.

Eigenfunctions with double exponential rate of localization Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-10T14:35:50.953866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T14:35:50.436273Z digest=sha256:8a1c1be98f2b6a1d3c4b5c0b3ac358a59511b7b1eb1a9d39549f376242ce6e83

Observation 7ef7a623-3f47-4651-98a3-7d2f7326badb · outbound

This paper cites Escauriaza, C.

Eigenfunctions with double exponential rate of localization Escauriaza, C

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:35:50.942774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T14:35:50.440095Z digest=sha256:95f713234662b52eeb6ba4d84a65286b7dff2b49c3e5d3e4d82a1b7d094b4778

Observation 3ffc938a-5a22-4b21-94c2-e18e3f3b5413 · outbound

This paper cites Filonov,Second-Order Elliptic Equation of Divergence Form Having a Compactly Supported Solution, Journal of Mathematical Sciences 106 (2001), 3078–3086.

Eigenfunctions with double exponential rate of localization Filonov,Second-Order Elliptic Equation of Divergence Form Having a Compactly Supported Solution, Journal of Mathematical Sciences 106 (2001), 3078–3086

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:35:50.931392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation e5f076c3-9f26-4119-8dc0-1ed6e82a58a9 · outbound

This paper cites On the Landis conjecture in a cylinder.

Eigenfunctions with double exponential rate of localization On the Landis conjecture in a cylinder

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-10T14:35:50.623377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T14:35:50.448139Z digest=sha256:f7dbfa6d60e99c08d6eb3c2de80a974fb86e05407c33001fcd61d30341e90adb

Observation 3f7c5179-5d6e-45b6-9601-5ceabf3ba572 · outbound

This paper cites Garofalo and F.-H.

Eigenfunctions with double exponential rate of localization Garofalo and F.-H

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:35:50.918158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T14:35:50.452110Z digest=sha256:756a32ec339546b2e6f8433d278cd3bc8d2d5549e20b465e72840665f3f89d59

Observation ae446dd0-c824-4f49-afbf-dc0462ed5aba · outbound

This paper cites 3, 347-366.

Eigenfunctions with double exponential rate of localization 3, 347-366

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:35:50.906172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T14:35:50.455690Z digest=sha256:5143d00c14297cfcd83b042f1b019d330f429f2270eb879e82092601c36e9a43

Observation 5630a74b-f87e-4092-920b-1e5ca70eb3a8 · outbound

This paper cites an unresolved cited work.

Eigenfunctions with double exponential rate of localization Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-10T14:35:50.894834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T14:35:50.459242Z digest=sha256:0c638c8a36624a4ca54a1283e19316e170ecb856bbbf2e7d9f99930013d2b389

Observation 1cae1b85-a26d-4631-8b63-3355d80949fe · outbound

This paper cites Kenig, Some recent quantitative unique continuation theorems, S´ eminaire´Equations aux d´ eriv´ ees partielles (Polytechnique) (2006), Exp.

Eigenfunctions with double exponential rate of localization Kenig, Some recent quantitative unique continuation theorems, S´ eminaire´Equations aux d´ eriv´ ees partielles (Polytechnique) (2006), Exp

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:35:50.883053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T14:35:50.462796Z digest=sha256:0156b7a09315f10d230dd0764426aa19daa679ff759d7267c6f64d9de197568a

Observation d9bb639c-050f-4250-ba0b-2a93f795a1d2 · outbound

This paper cites Kenig, L.

Eigenfunctions with double exponential rate of localization Kenig, L

Reference 19

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verified fuzzy
raw_fallback, observed 2026-08-10T14:35:50.870287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T14:35:50.466437Z digest=sha256:6a3341aae2ba5809ecdcb5e55c8e8e4b024efddea840ded2dbb8f1f5b4616b78

Observation 38630a76-bbb0-45f1-ac9d-4ac6c2a77b2a · outbound

This paper cites Kenig, J.

Eigenfunctions with double exponential rate of localization Kenig, J

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:35:50.857849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T14:35:50.470088Z digest=sha256:d624e993a6bee32f710978e0e53917926e4029707848ea2b04f7bc64a13d83c4

Observation 63b29f71-77e8-4db1-b0a0-e2a3f8a10f4d · outbound

This paper cites an unresolved cited work.

Eigenfunctions with double exponential rate of localization Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-10T14:35:50.845886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T14:35:50.473634Z digest=sha256:ea06971256e51a05f2e3b2ebc32ab793176cf8e19e113255282d1b0ade959e8e

Observation cd6461a0-460f-4536-974a-bad490bbb90b · outbound

This paper cites Kuchment,Floquet Theory for Partial Differential Equations, Operator Theory: Advances and Applications, vol.

Eigenfunctions with double exponential rate of localization Kuchment,Floquet Theory for Partial Differential Equations, Operator Theory: Advances and Applications, vol

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:35:50.834276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T14:35:50.477462Z digest=sha256:2740c06d65c901b006299ca0bb49fa4dea2045ac5e01f6cfa117cac26b11be33

Observation 736ea008-7d3d-4dd5-bc53-392bbc212921 · outbound

This paper cites 3, 343-414.

Eigenfunctions with double exponential rate of localization 3, 343-414

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:35:50.821918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T14:35:50.481164Z digest=sha256:ea4ee02637be05f930c69af0cd705cce590ff59eb9992a337be38247cce90a06

Observation 58e487d3-5db4-4978-b47d-81ef738f195d · outbound

This paper cites Kukavica,Quantitative uniqueness for second-order elliptic operators, Duke mathematical journal91 (1998), no.

Eigenfunctions with double exponential rate of localization Kukavica,Quantitative uniqueness for second-order elliptic operators, Duke mathematical journal91 (1998), no

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:35:50.810197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T14:35:50.484504Z digest=sha256:2b4bafbed6b7b05be58ee6b5332e1e82978e921cef15f7461d835bd8c02cf93b

Observation 02844c43-6502-422b-8b61-86a6679f0389 · outbound

This paper cites an unresolved cited work.

Eigenfunctions with double exponential rate of localization Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-10T14:35:50.798415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T14:35:50.488240Z digest=sha256:917216a94b862e66600c3e58b307342e37749de355adc55e4bcbb62f6ac4db2d

Observation 72acb185-19c0-4fd2-9cd1-bb6fb58ead37 · outbound

This paper cites Exponential bounds for gradient of solutions to linear elliptic and parabolic equations.

Eigenfunctions with double exponential rate of localization Exponential bounds for gradient of solutions to linear elliptic and parabolic equations

Reference 26

Resolution
verified exact
local_arxiv, observed 2026-08-10T14:35:50.606331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T14:35:50.491713Z digest=sha256:5785c5ebee803921d8097d66cc368b3884592ec522d672e6346f2c66059b4318

Observation 3828cf47-69f1-4a1d-a265-f4edf11a9dde · outbound

This paper cites Quantitative unique continuation for real-valued solutions to second order elliptic equations in the plane.

Eigenfunctions with double exponential rate of localization Quantitative unique continuation for real-valued solutions to second order elliptic equations in the plane

Reference 27

Resolution
verified exact
local_arxiv, observed 2026-08-10T14:35:50.590217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T14:35:50.495778Z digest=sha256:2c860742ddcd5e1ea2405cbac4aebfb4d59dc2f76d2f05d44ac63181c573e3e6

Observation 5ed544c0-4e45-4e90-a1e2-d46936b1c6e2 · outbound

This paper cites Li and L.

Eigenfunctions with double exponential rate of localization Li and L

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:35:50.786880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T14:35:50.499851Z digest=sha256:11bd573d3a650d21025669621e9e6e97679ffd003174579213baa2ee5526bb09

Observation 7c5219b1-46db-4fb0-8adc-4883a9f13aef · outbound

This paper cites Lin and J.-N.

Eigenfunctions with double exponential rate of localization Lin and J.-N

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:35:50.775249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T14:35:50.503393Z digest=sha256:35616e51e21d9f5f42828db65994e0d6809da9a26588ad7868cb2f42e18c49eb

Observation 89e789c7-7fb4-4fbc-853a-d046838508db · outbound

This paper cites The Landis conjecture on exponential decay.

Eigenfunctions with double exponential rate of localization The Landis conjecture on exponential decay

Reference 30

Resolution
verified exact
local_arxiv, observed 2026-08-10T14:35:50.573055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T14:35:50.507249Z digest=sha256:a5a02f2a2c1f8f736884f9fd1288e40d55c0ba9078a710a24077be30cf3d8750

Observation 576acc97-8bea-44c6-9825-9923b73c2695 · outbound

This paper cites Mandache,On a Counterexample Concerning Unique Continuation for Elliptic Equations in Divergence Form, Mathematical Physics, Analysis and Geometry1 (1998), 273–292.

Eigenfunctions with double exponential rate of localization Mandache,On a Counterexample Concerning Unique Continuation for Elliptic Equations in Divergence Form, Mathematical Physics, Analysis and Geometry1 (1998), 273–292

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:35:50.763238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T14:35:50.511213Z digest=sha256:37c76fec573abdc0d3e3446cf2e866aaaeee2d6a81004ca60c538461093e367b

Observation a6cd1a99-1f68-4bb8-9b97-be550c553c18 · outbound

This paper cites an unresolved cited work.

Eigenfunctions with double exponential rate of localization Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-10T14:35:50.751323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T14:35:50.514832Z digest=sha256:5c8926544d7e1471fac57b87754fda5370585b593cbd904f6d71a94d5c3107bf

Observation 12649e55-471c-4bd4-84bd-ff19a08bc069 · outbound

This paper cites an unresolved cited work.

Eigenfunctions with double exponential rate of localization Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-10T14:35:50.739312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T14:35:50.518431Z digest=sha256:5d9854bad0f5158138812e1121430249615cfbccd215575997cf63950cb71428

Observation 4422efde-c8d6-480d-a78f-778ce6ba6105 · outbound

This paper cites Plis,On non-uniqueness in Cauchy problem for an elliptic second order differential equation, Bull.

Eigenfunctions with double exponential rate of localization Plis,On non-uniqueness in Cauchy problem for an elliptic second order differential equation, Bull

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:35:50.726797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T14:35:50.522124Z digest=sha256:9ec75bee3b6d7e88cc37183281a856905a5206de78bef6c0efb70ca3fd1e159f

Observation 756ada43-9034-4e9f-9e36-c2c99996c6ed · outbound

This paper cites Rossi,The Landis conjecture with sharp rate of decay, Indiana University mathematics journal70 (2021), no.

Eigenfunctions with double exponential rate of localization Rossi,The Landis conjecture with sharp rate of decay, Indiana University mathematics journal70 (2021), no

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:35:50.715121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T14:35:50.525878Z digest=sha256:096d822e4383594e14fc274d6b8652c7ffcfac6eb46fb4b31cf0a01adb1683cb

Observation e054f050-be46-4247-9969-ef0dd28e9baa · outbound

This paper cites Smart, Unique continuation for lattice Schr¨ odinger operators(2022), https://www.youtube.com/watch?v=mdSbE3fPBw0.

Eigenfunctions with double exponential rate of localization Smart, Unique continuation for lattice Schr¨ odinger operators(2022), https://www.youtube.com/watch?v=mdSbE3fPBw0

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:35:50.702723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T14:35:50.530265Z digest=sha256:72206e0f61a10adc37dc53e5c92049ae7ab781c187b332814ebcf358d0ce3338

Observation 0c275625-35de-4a0d-9c22-69f00cda136c · outbound

This paper cites Zhu,Quantitative uniqueness of elliptic equations, American journal of mathematics138 (2016), no.

Eigenfunctions with double exponential rate of localization Zhu,Quantitative uniqueness of elliptic equations, American journal of mathematics138 (2016), no

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:35:50.690298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T14:35:50.534045Z digest=sha256:2f17430eb827c8a42602be388b0ef1590567680def809b608dafd46a28e883b2

Pith citing papers

No inbound Pith citation observations are available.