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Paper Citation Record · LEDGER

Eigenfunctions with double exponential rate of localization

As of 15 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 2026-08-15T06:32:42.880941+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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local_arxiv, observed 2026-08-10T14:35:50.677565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+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

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+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
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T14:35:50.408706Z digest=sha256:5b6bba2a0300a07ac74cf1b367ab3b1734f11d2002473c9d0994b816fb6e148c

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T14:35:50.412569Z digest=sha256:7aebc6b811089eda411331585e313df4d2c9219f31b877d6995a9d0d7393a9b5

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
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T14:35:50.416420Z digest=sha256:2db6f538914f15b35b41a40a56931ebc08dedf3c86880a0b6f57f7f7dd4c3a2d

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T14:35:50.420931Z digest=sha256:743b6402af07bf7ae1fe464a468341d66b5322bbce776f14e2b5b9abfd4f5001

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T14:35:50.425004Z digest=sha256:737773cde0ca914fa92d9ec35ebbc7c5da486118d3eb2b4c458afa170c3bccb3

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T14:35:50.428707Z digest=sha256:fc50ab2c4733a32fb3273f84856e8266516e9d96537afa6b33e199cc52378145

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T14:35:50.432357Z digest=sha256:81600be917ae8ee797821c62de787765da4a664637e2bb71d5d406697688d215

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
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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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T14:35:50.436273Z digest=sha256:313fb2eb28079a2cc414381f9ed820b4f10d744e742d1af7e7d9d5f886c40e99

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T14:35:50.440095Z digest=sha256:d06e4e5f5824de4a0b30de6bff5f2c936be73602897e303d970399c074a18479

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

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T14:35:50.448139Z digest=sha256:de80e17dad9c10ad392cdd68e87c1b54032554ce3733834da8eea70e3dd86cc3

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T14:35:50.452110Z digest=sha256:6580cef837ec8ad04d4ffbe483faf178d8793b55eda26b88dba4a8a170921e16

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T14:35:50.455690Z digest=sha256:81111f98d58b117a97e96c1e4895843cdb0e41f60588914d37124d639c734624

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T14:35:50.459242Z digest=sha256:438b028a7ee906476038cc3ac8fa3b7d09e701d4cba6eae919eb9e41fb63a13c

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T14:35:50.462796Z digest=sha256:6255209a9bc954d66f160cdecc1ced49ae8f6c1625468176703e62a286a9acd0

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

This paper cites Kenig, L.

Eigenfunctions with double exponential rate of localization Kenig, L

Reference 19

Resolution
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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T14:35:50.466437Z digest=sha256:b304c97d385f5c6b1b2cbe8f593d35015400ac53ff8a1572ef50917fa2a9caa0

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T14:35:50.470088Z digest=sha256:f68d388ecf8879dcb15e7fdf22a820dce1e0b368cd71006a1911d9fdcd07d54d

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T14:35:50.473634Z digest=sha256:9a9a54219a9a8120955d9fd36556da5b2839c9046733d9bdc6e13018958783b5

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T14:35:50.477462Z digest=sha256:5a897bbd79ee29377486a71d6f56de24dec35a18a4259c99e60bf7f53323c90f

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T14:35:50.481164Z digest=sha256:3eafc67eeb07e726651bf17c7db9bc86c3d79a74802c81ac516b2b009b83c690

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T14:35:50.484504Z digest=sha256:4bf5fa64e792d4f7057fdabedb3f4d55d8b8016ccff613457413ff970d987d6d

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T14:35:50.488240Z digest=sha256:539e8ae3ff17dc1570e8b2c78324feea77614e6aa18449d37528c0cf3a90e581

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T14:35:50.491713Z digest=sha256:86d79171721efe04020fafea296ae8778df7275970ecf8cc9b01d1486b5fb44b

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T14:35:50.495778Z digest=sha256:703dcca70bfbd111cb985a6575dc7947d0d9ec68071a05764799fed5aefce27c

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T14:35:50.499851Z digest=sha256:7b6178ef25829112518f193605837d640cac271789b64158250615fcf7000129

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T14:35:50.503393Z digest=sha256:35cba7d88adab8080606d743db05a3e0f154d3053a8c9b8637b0d5ffd04645e2

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T14:35:50.507249Z digest=sha256:d72847abadc8cea863060999d6bea036e9954dd9e70c9bcc9e93d6a25f7fee9f

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T14:35:50.511213Z digest=sha256:5f520fc34f19224fec8b68358d6db6087dd4078a8f307a7c58a1723ab3d440db

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T14:35:50.514832Z digest=sha256:732d7c40621809d136706adf47da33ecbe2e916e6b02414a220c9bc91113ae5b

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T14:35:50.518431Z digest=sha256:e7f7b0a0e3f7ebc34900c20cabf7a90d816792776c78ea0c0dd7704e02adfe7b

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T14:35:50.522124Z digest=sha256:09d223a064ab95df20b7e3357ca627144adaff5c50f83709edcbbeeb325701a7

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T14:35:50.525878Z digest=sha256:8d59b5f0d3afb29bb9797f6295740879c7590902cd1f763c2be05a2756f56d78

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T14:35:50.530265Z digest=sha256:ba2cd2b0eaece12629c284254ba8fc1263ad8e40947dcfe73347291c0ec604fa

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T14:35:50.534045Z digest=sha256:bc129ddaa4b1d04327dafe3513fecb62d5e0d41242b9e53d13d16880033bbdaa

Pith citing papers

No inbound Pith citation observations are available.