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Paper Citation Record · LEDGER

Sharp convergence rate of Schr\"odinger operator along curves

As of 10 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 2026-08-10T06:31:04.303077+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
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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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:11:47.430132Z digest=sha256:05e92f58b82d25b94e4c0e18fb9a179f09b0b4da39a1a67c484509450516540e

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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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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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source=pdf_text observed=2026-08-06T20:11:47.557786Z digest=sha256:80d93cb5738d028fecbfbf2edd87f757d993fb5257894471ada7c0476004a125

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:11:47.599549Z digest=sha256:414254a37b1c78ddca8fe67a67603c05f66acac36fcd26f023008b2a178ba142

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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:11:47.640249Z digest=sha256:a7ef166f9c8bd5677dbf2d59513041563cd26346784ddd58372037aad8f978c1

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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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:11:47.729406Z digest=sha256:6b72a35eecdf107106e357fb7a9458855bf303ffde330eac7027e360254ff8d5

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

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source=pdf_text observed=2026-08-06T20:11:47.800829Z digest=sha256:bf99bc090b07e8a4fbb6691b7e8d4908e042de4fc69e707bf683695c8034383d

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
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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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:11:47.882445Z digest=sha256:743657d948761c820c7f1bf67ba7e4da37c9e5296fb48ba159799e2109558d98

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 2026-08-10T06:31:04.303077+00:00.

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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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source=pdf_text observed=2026-08-06T20:11:48.000604Z digest=sha256:16f5668a2260529ab8ab785a4149319423c82feba7ed8ecb9dd2aa2556cc05ad

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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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:11:48.079307Z digest=sha256:8837c695ef49b0dbbda23241c248880ff5c774c102a40fa6bda3f29c473fb7cc

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

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:11:48.109157Z digest=sha256:ad0e36c2be2db53fac8fc00700813da93a8b186ef3ef77d98523be47fdc5dc66

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=pdf_text observed=2026-08-06T20:11:48.171728Z digest=sha256:b5889fa9b6f9247c994ff306003df8280214611710de51879f98226b8cfd4cd1

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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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:11:48.240311Z digest=sha256:a1075ed5c3af822e49eed1a5ddc43a8772c71fffb10f9d5493b8d64a9a60f111

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:11:48.290767Z digest=sha256:eb88efbc9c78b2ff0146c33fa674cde482de2159626c6c1e03e4eebb47665037

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:11:48.359748Z digest=sha256:cfd48f28f091fee5aed4dd0bc6e2d727d07aa8b4d7499f593752e8798c63a136

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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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:11:48.428067Z digest=sha256:9119d75af607933abef463cf92b3b572a7e8aa2b12c857c0e5349dac9e3fc7a1

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:11:48.514473Z digest=sha256:b6c558b32617efd686b74c3864745557827904f346123a57261435bff3968bc8

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:11:48.600330Z digest=sha256:593def69a3b8a5d1ff438741cbc0a5afe827bb43dc7210749e7871485ddbb5c2

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

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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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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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:11:48.741741Z digest=sha256:3a8b0f5f6c72cdd4f45c47f755819683366c079f48f93d276d2b2f3e203337b1

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

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

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:11:48.803010Z digest=sha256:dc2b89ddd4dfa7397318957c5ede6337ac6125d1bbcc3444a74cd23868807124

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:11:48.894112Z digest=sha256:2ea0f86b1df0371d3d69f2b55ceb9ef9de414fe2eff352988000097ee23388e3

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

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:11:48.980873Z digest=sha256:59e7410e80d92a54f6ccdaf1f9b9bc66e9ad0cea040104c6c75e7824447f6350

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:11:49.069883Z digest=sha256:2769cc93c116b969e2419c738938be85caf47447af699f2642c4fb84339a4ef1

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:11:49.127968Z digest=sha256:8e6d51dbbd341f374000a87554ade022f7cb89c398b7afad89521795591789cf

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:11:49.229412Z digest=sha256:386a5e9edb85a985933d3c3198c8eee99d7035d77672904e107e2dc393ae2b81

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:11:49.328581Z digest=sha256:9723f25228931c2e666d0f39330e76f344ee02a32fe3623f42c70ebb57a7bdf7

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:11:49.449767Z digest=sha256:b52a40817c93057eb10b1336b32e8d37fa0030a4f8e701042ed11de8b5915b40

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:11:49.529547Z digest=sha256:c229648f377da2938e7f18897f40d277719d4f5953975c87cae3d37448dfd494

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:11:49.637404Z digest=sha256:108b3762853cb9f82066ae0336b63738e891559642850e842d1b1973f04324a5

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:11:49.720839Z digest=sha256:2332ecb00c61d772f6a53d215abf5f769e5ec79fd0841d4811159b2a55253da4

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:11:49.803916Z digest=sha256:7e1d0b125ed906f566a5b9b2e06c265e7409a1d8a696c7b882c39e3e07bf8b9a

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:11:49.927471Z digest=sha256:ce3ec3c7a25f9dc12176259b4ce878654726e715c319dd22d424ee23d464fbcf

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