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Paper Citation Record · LEDGER

Sharp convergence rate of Schr\"odinger operator along curves

As of 17 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2507.03883.

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pith.paper-citation-record.v1
2507.03883 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:11:49.927471Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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 exact0
  • verified fuzzy28
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f3afb2bd-2461-4fa4-aaac-c4fe0f1ba832 · outbound

This paper cites Bourgain.

Sharp convergence rate of Schr\"odinger operator along curves Bourgain

Reference 1

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raw_fallback, observed 2026-08-06T20:11:51.777765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:11:47.430132Z digest=sha256:2b6560c832e8c39c0ad48df4f9c72f8b768c0da02c39d5884e3fbdb4ad4484b6

Observation 56906e39-ded5-411f-95ba-587ec67cd82e · outbound

This paper cites Bourgain.

Sharp convergence rate of Schr\"odinger operator along curves Bourgain

Reference 2

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raw_fallback, observed 2026-08-06T20:11:51.766300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:11:47.507311Z digest=sha256:69472f141340a6933c4ea373dd543c17076f52eca17da5cf3802084a0c5bfb2d

Observation 6fc30c47-7d6c-4fd6-a0c2-1b42dfec741a · outbound

This paper cites Some new estimates on oscillatory integrals.

Sharp convergence rate of Schr\"odinger operator along curves Some new estimates on oscillatory integrals

Reference 3

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:11:47.557786Z digest=sha256:48a6f620206170e749e8e32e8531f1ee327032f5a5330e8b3bc5fa07c75235d0

Observation f8313d65-c816-4bcd-8c99-8b5ff207b819 · outbound

This paper cites The rate of converge nce on Schr¨ odinger operator.Illinois J.

Sharp convergence rate of Schr\"odinger operator along curves The rate of converge nce on Schr¨ odinger operator.Illinois J

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:11:47.599549Z digest=sha256:090cfd51fd78cec0690e892eedbf1223c5c6e961b8b3ca9515fd2b652ac0da90

Observation d1f86136-9187-48ea-bbf6-af7777d87fcf · outbound

This paper cites Sharp pointwise convergence on the Schr¨ odinger operator along one class of curves.

Sharp convergence rate of Schr\"odinger operator along curves Sharp pointwise convergence on the Schr¨ odinger operator along one class of curves

Reference 5

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raw_fallback, observed 2026-08-06T20:11:51.735194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:11:47.640249Z digest=sha256:b1437f48fd4950e5f9e1f64466f99cc15e8ecabd10680da0b0f0391d06d6e773

Observation 052f5ece-1640-4182-a369-c68eadc55b4a · outbound

This paper cites Radial Fourier multipliers and associated maxim al functions.

Sharp convergence rate of Schr\"odinger operator along curves Radial Fourier multipliers and associated maxim al functions

Reference 6

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:11:47.729406Z digest=sha256:80f500a435389c407b179ac275a1a1bd3e7e2edd305d19529f6880118d492c4c

Observation fb16347c-2d49-41cf-a059-e9fa1b8e3b14 · outbound

This paper cites Some analytic problems related to statistical mechanics.

Sharp convergence rate of Schr\"odinger operator along curves Some analytic problems related to statistical mechanics

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:11:47.800829Z digest=sha256:a44b0f95f2d9ed7b3ebe3e8954d0cefa14614e4166c87c779138615e5ca93405

Observation e8a0ea22-4025-4bbf-a431-cefd12657a1e · outbound

This paper cites Pointwise convergence of the fract ional Schr¨ odinger equation in R2.

Sharp convergence rate of Schr\"odinger operator along curves Pointwise convergence of the fract ional Schr¨ odinger equation in R2

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:11:51.701466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:11:47.882445Z digest=sha256:7bb71dd4787aa5fee1b99dd6db0c56c00f1d73a02c79a205a079edbcee125c4b

Observation 8daa3d72-21d9-4ea1-bba5-0974da5227fd · outbound

This paper cites Problems on point wise convergence of solutions to the Schr¨ odinger equation.J.

Sharp convergence rate of Schr\"odinger operator along curves Problems on point wise convergence of solutions to the Schr¨ odinger equation.J

Reference 9

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:11:47.947727Z digest=sha256:a5414d7700c17a06c3ea6322b631f0b93e79770afb82e6de5bd336a353ee4884

Observation 8db3d55a-49d5-4056-a099-1cb793819ff8 · outbound

This paper cites Pointwise convergence along a t angential curve for the fractional Schr¨ odinger equation.Ann.

Sharp convergence rate of Schr\"odinger operator along curves Pointwise convergence along a t angential curve for the fractional Schr¨ odinger equation.Ann

Reference 10

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:11:48.000604Z digest=sha256:35634e73abbc0654351f22f20fedab0783824eef5f4f0085212a173d83b8b2d1

Observation d7c29e08-d532-4e81-8ed4-1e2400b90706 · outbound

This paper cites an unresolved cited work.

Sharp convergence rate of Schr\"odinger operator along curves Unresolved cited work

Reference 11

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:11:48.079307Z digest=sha256:a23dafe36505c3cdb440c9766ac1956b7f8927adacdf8b1f87251cd2529db5c3

Observation 3e9eb34c-5289-4aa7-9a81-bf13b6d5b7bc · outbound

This paper cites an unresolved cited work.

Sharp convergence rate of Schr\"odinger operator along curves Unresolved cited work

Reference 12

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:11:48.109157Z digest=sha256:0301012b6045b192d37479470353015e08cfd61f2bda19ec024d59d692d65f88

Observation 6aa3e9f6-69c8-4721-8deb-0f376be32b0c · outbound

This paper cites Schr¨ odinger maximal funct ion estimates via the pseudoconformal transformation.

Sharp convergence rate of Schr\"odinger operator along curves Schr¨ odinger maximal funct ion estimates via the pseudoconformal transformation

Reference 13

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:11:48.171728Z digest=sha256:2c7ad01a64e3b55d7b25a85a8e5afb6f905692c3fcdde3261cbab569124d2512

Observation bb4b358d-9edf-4171-87d3-5d9345ba6e10 · outbound

This paper cites A sharp Schr¨ odinger ma ximal estimate in R2.

Sharp convergence rate of Schr\"odinger operator along curves A sharp Schr¨ odinger ma ximal estimate in R2

Reference 14

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:11:48.240311Z digest=sha256:12fcdc7128f8fab57dd3db56d1a24180b6860a7007ada358be7ecca856d17582

Observation ff2ec592-7f39-4955-9bf0-c8b2320776fc · outbound

This paper cites Sharp L2 estimates of the Schr¨ odinger maximal function in higher di- mensions.

Sharp convergence rate of Schr\"odinger operator along curves Sharp L2 estimates of the Schr¨ odinger maximal function in higher di- mensions

Reference 15

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:11:48.290767Z digest=sha256:f0d32581d3f9bd5d4b88ea01333118bf57dd47907086312f33245c8ca6976e4e

Observation 097ee073-49d5-4c05-a347-329025db700a · outbound

This paper cites Sharp convergence rate on schr¨ odinger operator.

Sharp convergence rate of Schr\"odinger operator along curves Sharp convergence rate on schr¨ odinger operator

Reference 16

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:11:48.359748Z digest=sha256:e1517fdd6166841df369ec750b26159faddb66cc20a2d4a5dcae61e6ea6b49dd

Observation 7e716553-4936-4024-b7cd-b0a2d469c935 · outbound

This paper cites On pointwise convergence of the solutions to Sc hr¨ odinger equations inR2.

Sharp convergence rate of Schr\"odinger operator along curves On pointwise convergence of the solutions to Sc hr¨ odinger equations inR2

Reference 17

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:11:48.428067Z digest=sha256:c471e9022542941fa70ebbcbd095ae194af15761ac2c89186e7df2eb7c9f887d

Observation 3e24fb16-9327-4416-bf5d-a5ac196d9187 · outbound

This paper cites an unresolved cited work.

Sharp convergence rate of Schr\"odinger operator along curves Unresolved cited work

Reference 18

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:11:48.514473Z digest=sha256:beaf7571dafdf89c87210f942ce1cb3ac1dc965ddbd87f06bc51a90b8dc6b19b

Observation 2e852e64-fa3e-4c88-8a57-d6e0894667a4 · outbound

This paper cites On convergence properties for ge neralized Schr¨ odinger operators along tan- gential curves.

Sharp convergence rate of Schr\"odinger operator along curves On convergence properties for ge neralized Schr¨ odinger operators along tan- gential curves

Reference 19

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:11:48.600330Z digest=sha256:64420dfe2d8fb09bf746708aaeb9b9f04b0e05bf5ef411226e0951b4f0baedca

Observation ad0a5260-5db0-4b9d-917d-4c93332287de · outbound

This paper cites A study on a class of generalized Sch r¨ odinger operators.J.

Sharp convergence rate of Schr\"odinger operator along curves A study on a class of generalized Sch r¨ odinger operators.J

Reference 20

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:11:48.661799Z digest=sha256:0d9d7bd3963de09e32d1188ba50a6b6100446110c4d65fec7feb932af6bc325a

Observation 12e63092-3138-4f2c-a816-685174f94a5f · outbound

This paper cites an unresolved cited work.

Sharp convergence rate of Schr\"odinger operator along curves Unresolved cited work

Reference 21

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:11:48.741741Z digest=sha256:e9b9b8ca28e00276a33f19196bad28bbfb6000b702fec4f7f6faa34033674e67

Observation 8c28d6a5-ed24-47bd-8bcd-73cc21565bc8 · outbound

This paper cites an unresolved cited work.

Sharp convergence rate of Schr\"odinger operator along curves Unresolved cited work

Reference 22

Resolution
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raw_fallback, observed 2026-08-06T20:11:51.540529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:11:48.803010Z digest=sha256:d431e8aa3aee3aa10e7cdc2e6ce9a96d4a4ab1efdebbd7c3e7333184bd94b1ba

Observation 062a6b76-9b09-4e39-9151-04e38748cdad · outbound

This paper cites Hausdorff dimension, projections, and the Fou rier transform.

Sharp convergence rate of Schr\"odinger operator along curves Hausdorff dimension, projections, and the Fou rier transform

Reference 23

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raw_fallback, observed 2026-08-06T20:11:51.529313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:11:48.894112Z digest=sha256:e5ed77fc00273a0e220cdb3aff56a3cd18e7867b6659e2a378167a23b3bbeac7

Observation 638e1332-63da-4a42-b257-06b1af2a14f7 · outbound

This paper cites An improved ma ximal inequality for 2D fractional order Schr¨ odinger operators.Studia Math.

Sharp convergence rate of Schr\"odinger operator along curves An improved ma ximal inequality for 2D fractional order Schr¨ odinger operators.Studia Math

Reference 24

Resolution
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raw_fallback, observed 2026-08-06T20:11:51.517868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:11:48.980873Z digest=sha256:dc3732e6f992ac7b781bb27536555687c92ceb10e3be71eb612be9e3e5fd8696

Observation 24777054-d4a4-4895-ba65-3f28352ddfc6 · outbound

This paper cites A note on almost everywhere convergence alo ng tangential curves to the Schr¨ odinger equation initial datum.

Sharp convergence rate of Schr\"odinger operator along curves A note on almost everywhere convergence alo ng tangential curves to the Schr¨ odinger equation initial datum

Reference 25

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raw_fallback, observed 2026-08-06T20:11:51.499618Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:11:49.069883Z digest=sha256:a415f98eb3e88d4153da99d9fa678de56bde75356c0c8640007d64c8e0d073b9

Observation 1453528c-6263-43b9-889f-2695eeb8d2aa · outbound

This paper cites Moyua, A.

Sharp convergence rate of Schr\"odinger operator along curves Moyua, A

Reference 26

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raw_fallback, observed 2026-08-06T20:11:51.385596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:11:49.127968Z digest=sha256:187679a45209161fa01159f107e40b20c4ed34cc853438011c1986b6b2b22b22

Observation 5edaa467-e848-48a9-be44-bcbf4a0eac49 · outbound

This paper cites Regularity of solutions to the Schr¨ odinger equation.

Sharp convergence rate of Schr\"odinger operator along curves Regularity of solutions to the Schr¨ odinger equation

Reference 27

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raw_fallback, observed 2026-08-06T20:11:51.231952Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:11:49.229412Z digest=sha256:0f45a3973b19171cac44c457809386b5b00efa0f5439466c292ce356b3b73137

Observation d34608b9-7d4c-4aed-8b3e-0ca914154af2 · outbound

This paper cites Tao and A.

Sharp convergence rate of Schr\"odinger operator along curves Tao and A

Reference 28

Resolution
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raw_fallback, observed 2026-08-06T20:11:51.070960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:11:49.328581Z digest=sha256:0e750b6fca9c9c014735e4d0c9c02f5fc2e7cc0a8bb35300469f17fa78da399b

Observation 37e81a61-3da4-48bd-b371-47a90a67c506 · outbound

This paper cites Schr¨ odinger equations: pointwise convergence to the initial data.

Sharp convergence rate of Schr\"odinger operator along curves Schr¨ odinger equations: pointwise convergence to the initial data

Reference 29

Resolution
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raw_fallback, observed 2026-08-06T20:11:51.040808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:11:49.449767Z digest=sha256:c44f4f6f2db438a9b0cbde0cf6aeb2fd5ad6bef746c7e0d3043f3c524090cbcb

Observation 4f23d051-14a0-4935-b187-f1fe08723d18 · outbound

This paper cites an unresolved cited work.

Sharp convergence rate of Schr\"odinger operator along curves Unresolved cited work

Reference 30

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unresolved
raw_fallback, observed 2026-08-06T20:11:51.000731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:11:49.529547Z digest=sha256:3ee7e11c27c54a3b29e2c7c3d1e71328886d25a195f358f681947af1647bb7e4

Observation 260331b7-cfee-42cf-9ddc-fb3998c3e935 · outbound

This paper cites Sharp convergence for sequenc es of schr¨ odinger means along curves.

Sharp convergence rate of Schr\"odinger operator along curves Sharp convergence for sequenc es of schr¨ odinger means along curves

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:11:50.812871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:11:49.637404Z digest=sha256:d7d687c94a09a99b09791e1a92bcf315ab8d40ff38fd547dda256f41702eb0b8

Observation 10e30d9c-1fa0-4efb-93bd-ac4a041e8e6d · outbound

This paper cites Sharp convergence rate on Sch r¨ odinger-type operators.Math.

Sharp convergence rate of Schr\"odinger operator along curves Sharp convergence rate on Sch r¨ odinger-type operators.Math

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:11:50.624422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:11:49.720839Z digest=sha256:d66ed6f733672cd33274d82ec4c0aac06299317fb3ad8a11dcf36dffbab1a7a4

Observation 1c232f3f-50e1-4494-b263-a800f8e8c8f8 · outbound

This paper cites Pointwise convergence along a tan gential curve for the fractional Schr¨ odinger equation with 0 < m < 1.

Sharp convergence rate of Schr\"odinger operator along curves Pointwise convergence along a tan gential curve for the fractional Schr¨ odinger equation with 0 < m < 1

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:11:50.426743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:11:49.803916Z digest=sha256:f9ae38ca2a32c8012caf6f934f4bd89ee817c612b20eae95cd910ebfbffa1133

Observation 4034d304-6a62-4021-8a8f-8f242c48fa26 · outbound

This paper cites Pointwise convergence of solutions to Schr¨ odinger type equations.

Sharp convergence rate of Schr\"odinger operator along curves Pointwise convergence of solutions to Schr¨ odinger type equations

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:11:50.175762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:11:49.927471Z digest=sha256:ef659c0ebea65d01ae2e507c912abd2f5660dd455d4872d01a34c3aca327b5b7

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