Paper Citation Record · LEDGER

Nodal set for the Schr\"odinger equation under a local growth condition

As of 9 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2507.19600.

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

pith.paper-citation-record.v1
2507.19600 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T14:24:21.333204Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

34 of 34 outbound references displayed

verified exact1
verified fuzzy25
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 40f37568-d5fb-4ab5-b2a4-b11a6ebb73ab · outbound

This paper cites an unresolved cited work.

Nodal set for the Schr\"odinger equation under a local growth condition Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:24:29.216258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2beb4aae-fea5-4cf8-a755-daddd9c2b621 · outbound

This paper cites Aronszajn, A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order, J.

Nodal set for the Schr\"odinger equation under a local growth condition Aronszajn, A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order, J

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-06T14:24:18.179529Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8af2627c-b41a-4ab5-89ea-c54f4685e670 · outbound

This paper cites an unresolved cited work.

Nodal set for the Schr\"odinger equation under a local growth condition Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:24:28.996684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 715f43e3-e6aa-4399-a59b-71041a65be42 · outbound

This paper cites Aronszajn, A.

Nodal set for the Schr\"odinger equation under a local growth condition Aronszajn, A

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:24:28.845150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8a218717-0bab-40a6-9555-dba564d3e67f · outbound

This paper cites Alessandrini, L.

Nodal set for the Schr\"odinger equation under a local growth condition Alessandrini, L

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:24:28.525827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation dfd6d89b-1f4d-41ea-aeb1-4751a3c9dec9 · outbound

This paper cites Banerjee and N.

Nodal set for the Schr\"odinger equation under a local growth condition Banerjee and N

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:24:28.244033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3d4dcfa1-1e5c-4efa-b81b-c777abcd4e9e · outbound

This paper cites Carleman, Sur un probl\`eme d'unicit\'e pur les syst\`emes d'\'equations aux d\'eriv\'ees partielles \`a deux variables ind\'ependantes , Ark.

Nodal set for the Schr\"odinger equation under a local growth condition Carleman, Sur un probl\`eme d'unicit\'e pur les syst\`emes d'\'equations aux d\'eriv\'ees partielles \`a deux variables ind\'ependantes , Ark

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:24:27.994333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c997e614-8fbf-4691-96af-8576a5639c23 · outbound

This paper cites A frequency function approach to quantitative unique continuation for elliptic equations.

Nodal set for the Schr\"odinger equation under a local growth condition A frequency function approach to quantitative unique continuation for elliptic equations

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-06T14:24:18.566642Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e0486c6a-4d2a-4519-87f1-7db1bc3cf693 · outbound

This paper cites an unresolved cited work.

Nodal set for the Schr\"odinger equation under a local growth condition Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:24:27.790549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation f3b2be29-b066-4051-a3ca-8504835a0711 · outbound

This paper cites Donnelly and C.

Nodal set for the Schr\"odinger equation under a local growth condition Donnelly and C

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:24:27.454022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c782a307-19b5-4e7e-9ed2-d22b6c5a7608 · outbound

This paper cites Donnelly and C.

Nodal set for the Schr\"odinger equation under a local growth condition Donnelly and C

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:24:27.230293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 10a423cc-cc28-4490-b474-63b5ebb13b8d · outbound

This paper cites Davey and J.

Nodal set for the Schr\"odinger equation under a local growth condition Davey and J

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:24:26.969893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 84049fbe-aabf-4ba6-8250-196853000fb4 · outbound

This paper cites Garofalo and F.

Nodal set for the Schr\"odinger equation under a local growth condition Garofalo and F

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:24:26.715753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ae9c3e75-3bd5-44a1-9d85-be37deb69104 · outbound

This paper cites Hardt and L.

Nodal set for the Schr\"odinger equation under a local growth condition Hardt and L

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:24:26.445676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 029c511b-a392-418b-a675-999649eea123 · outbound

This paper cites an unresolved cited work.

Nodal set for the Schr\"odinger equation under a local growth condition Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:24:26.234332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6be80526-c5a1-4d9b-900d-57124d857c3e · outbound

This paper cites Kukavica, Quantitative uniqueness for second-order elliptic operators, Duke Math.

Nodal set for the Schr\"odinger equation under a local growth condition Kukavica, Quantitative uniqueness for second-order elliptic operators, Duke Math

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:24:25.989000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 716b0c61-3192-4465-89aa-6dc28f2ed71a · outbound

This paper cites Kukavica, Quantitative, uniqueness, and vortex degree estimates for solutions of the Ginzburg-Landau equation, Electronic Journal of Differential Equations, Vol.

Nodal set for the Schr\"odinger equation under a local growth condition Kukavica, Quantitative, uniqueness, and vortex degree estimates for solutions of the Ginzburg-Landau equation, Electronic Journal of Differential Equations, Vol

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:24:25.736490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 5f0e6fef-2615-4a8e-ad6b-fb2c26d4136a · outbound

This paper cites Kukavica and K.

Nodal set for the Schr\"odinger equation under a local growth condition Kukavica and K

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:24:25.503319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 73bde99a-f546-43fe-9fff-3495a16d83f3 · outbound

This paper cites an unresolved cited work.

Nodal set for the Schr\"odinger equation under a local growth condition Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:24:25.269932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 20f4febd-ca09-43fa-8dab-cd61c5be9c28 · outbound

This paper cites Lin, Nodal sets of solutions of elliptic and parabolic equations, Comm.

Nodal set for the Schr\"odinger equation under a local growth condition Lin, Nodal sets of solutions of elliptic and parabolic equations, Comm

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:24:25.053149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b2aecaf3-7338-4c38-bab3-96860a9c233b · outbound

This paper cites Logunov, Nodal sets of L aplace eigenfunctions: polynomial upper estimates of the H ausdorff measure , Ann.

Nodal set for the Schr\"odinger equation under a local growth condition Logunov, Nodal sets of L aplace eigenfunctions: polynomial upper estimates of the H ausdorff measure , Ann

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:24:24.748236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2384184b-a7db-4043-b7c0-801aa5148582 · outbound

This paper cites Logunov, Nodal sets of Laplace eigenfunctions: proof of N adirashvili's conjecture and of the lower bound in Yau's conjecture , Ann.

Nodal set for the Schr\"odinger equation under a local growth condition Logunov, Nodal sets of Laplace eigenfunctions: proof of N adirashvili's conjecture and of the lower bound in Yau's conjecture , Ann

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:24:24.514533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation cbd7aec0-ec22-436a-851e-4d49f78870d1 · outbound

This paper cites Logunov and E.

Nodal set for the Schr\"odinger equation under a local growth condition Logunov and E

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:24:24.251470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 9165302b-1a79-4be4-80fb-5a01c4818534 · outbound

This paper cites Logunov and E.

Nodal set for the Schr\"odinger equation under a local growth condition Logunov and E

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:24:23.967395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 38948203-2bb8-443e-8539-92f18768458e · outbound

This paper cites Logunov, E.

Nodal set for the Schr\"odinger equation under a local growth condition Logunov, E

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:24:23.754922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 5481ef00-7ab8-45c5-a07f-e0dc441b5711 · outbound

This paper cites Lin and Z.

Nodal set for the Schr\"odinger equation under a local growth condition Lin and Z

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:24:23.535538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c5385f1c-07f2-44af-911f-9d0830a84975 · outbound

This paper cites an unresolved cited work.

Nodal set for the Schr\"odinger equation under a local growth condition Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:24:23.233563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation bc520122-3597-46f8-99e4-f811b4f4672f · outbound

This paper cites Lin and J.

Nodal set for the Schr\"odinger equation under a local growth condition Lin and J

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:24:23.045387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation bad652b0-9710-4521-8dfa-d0002ff9f277 · outbound

This paper cites Naber and D.

Nodal set for the Schr\"odinger equation under a local growth condition Naber and D

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:24:22.828030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a39b4bb7-6af0-4952-b082-87483652874d · outbound

This paper cites Schechter and B.

Nodal set for the Schr\"odinger equation under a local growth condition Schechter and B

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:24:22.565938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 72bd5cf8-24d1-4640-b9da-04e5e62d66e0 · outbound

This paper cites Yau (ed.), Seminar on D ifferential G eometry , Annals of Mathematics Studies, vol.

Nodal set for the Schr\"odinger equation under a local growth condition Yau (ed.), Seminar on D ifferential G eometry , Annals of Mathematics Studies, vol

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:24:22.338083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b2197831-0228-4104-b384-5ffc67b63f89 · outbound

This paper cites Zhu, Quantitative uniqueness of elliptic equations, Amer.

Nodal set for the Schr\"odinger equation under a local growth condition Zhu, Quantitative uniqueness of elliptic equations, Amer

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:24:22.093256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation bf6cb76f-c8c1-471d-928b-8f5b79de7c73 · outbound

This paper cites Zhu, Doubling inequality and nodal sets for solutions of bi-Laplace equations, Arch.

Nodal set for the Schr\"odinger equation under a local growth condition Zhu, Doubling inequality and nodal sets for solutions of bi-Laplace equations, Arch

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:24:21.819536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation caa016e8-d6ab-4399-89a4-6ef07fef74de · outbound

This paper cites Nodal sets of Dirichlet eigenfunctions in quasiconvex Lipschitz domains.

Nodal set for the Schr\"odinger equation under a local growth condition Nodal sets of Dirichlet eigenfunctions in quasiconvex Lipschitz domains

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-08-06T14:24:21.535820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Pith citing papers

No inbound Pith citation observations are available.