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Paper Citation Record · LEDGER

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions

As of 13 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 2 inbound Pith citation observations for arXiv:2411.11787.

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

pith.paper-citation-record.v1
2411.11787 v2

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T18:15:18.970548Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T20:56:55.925305Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-07T04:56:36.753453Z

Reference resolution

28 of 28 outbound references displayed

  • verified exact1
  • verified fuzzy22
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 39374f4b-36af-414a-9d13-8ba3a5ef33ea · outbound

This paper cites Agmon, Spectral properties of Schr\" o dinger operators and scattering theory , Ann.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Agmon, Spectral properties of Schr\" o dinger operators and scattering theory , Ann

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:15:19.528403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.842130Z digest=sha256:bf71de97236f145ce124bc2f5973ead1cde4735a132a8b0e28aaab3ea0a724db

Observation 64c1d456-0cc6-45d6-b651-314b4f904496 · outbound

This paper cites Beals, Optimal L^ decay for solutions to the wave equation with a potential, Comm.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Beals, Optimal L^ decay for solutions to the wave equation with a potential, Comm

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:15:19.512364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.848489Z digest=sha256:122bf9ec142123ca93b676fd80132fc8a786176bc968cf68693d4bc5dfab3d67

Observation 4faeaa67-c1a5-4c95-b661-3119afa7f436 · outbound

This paper cites Beceanu, New estimates for a time-dependent Schr\" o dinger equation , Duke Mathematical Journal (2011), Vol.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Beceanu, New estimates for a time-dependent Schr\" o dinger equation , Duke Mathematical Journal (2011), Vol

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:15:19.494829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.853536Z digest=sha256:4b68a7e03324927f3f0008d78b57f2fc960599150181faa246b5d1daad287177

Observation 3fb00fee-a3a6-46d0-b5cd-a79909e1bb42 · outbound

This paper cites Beceanu, Dispersive estimates in ^3 with threshold eigenstates and resonances, Analysis & PDE 9-4 (2016), pp.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Beceanu, Dispersive estimates in ^3 with threshold eigenstates and resonances, Analysis & PDE 9-4 (2016), pp

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:15:19.480306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.858585Z digest=sha256:93fa7d7acdb01591b0e8324825583973d53eed39537463ff6fb33d0a3bc5f4a2

Observation 64e0b951-0fb9-4cb7-a525-1133bc18020d · outbound

This paper cites Beceanu, G.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Beceanu, G

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:15:19.466011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.863857Z digest=sha256:f062f968a0a4b8a62d67b6928664a4bf606e58350066c053906c55811ab37fd4

Observation d59d4f60-05f6-48f7-8b56-5ece200fc268 · outbound

This paper cites Beceanu, M.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Beceanu, M

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:15:19.450258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.868574Z digest=sha256:b3b5b68ac327d046b92bfe79a3c2af2b9df2b713d24e33910c5783664bf3c25e

Observation 37b1c403-a591-4e4c-850f-1d5d609eceaf · outbound

This paper cites Beceanu, M.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Beceanu, M

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:15:19.434246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.873320Z digest=sha256:8b09a521e1f39e68a3730a7ea1f28e11d70b2d341115a4e5ee55fa9fba18de63

Observation 290afba6-1a84-4625-ac0e-3eef07c30ab4 · outbound

This paper cites Beceanu, M.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Beceanu, M

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-12T18:15:18.878501Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T18:15:18.878501Z digest=sha256:8b33bd884d30f0f2651df3d5f94d409f90b8762bde5155820facc4c99a00d893

Observation d3d34d19-c780-4a9d-bf64-41f606d3000f · outbound

This paper cites Spectral Multipliers II: Elliptic and Parabolic Operators and Bochner-Riesz Means.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Spectral Multipliers II: Elliptic and Parabolic Operators and Bochner-Riesz Means

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-12T18:15:19.014941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.883130Z digest=sha256:53c7b8937e4aa4616b2c950f4637c82d54fe41adff8e4ed118778564a6aee9e2

Observation c538ead0-d803-457f-b8a2-ec50f3611493 · outbound

This paper cites o fstr\.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions o fstr\

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:15:19.419502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.888186Z digest=sha256:9928b1ad6c6f33b13328c54cca28cb3208531b154b61679194c6db0fee9e72d4

Observation e8153f4c-2f95-4df8-ab31-d28c01f7bcad · outbound

This paper cites Dancona, Kato smoothing and Strichartz estimates for wave equations with magnetic potentials, Comm.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Dancona, Kato smoothing and Strichartz estimates for wave equations with magnetic potentials, Comm

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:15:19.405307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.893065Z digest=sha256:55892616105ecc38e670aa0da12f5b8fb126e71c650d260b6a41d8541255a494

Observation 1b12832c-bd01-4a1a-ae82-067041592ddd · outbound

This paper cites Dancona, L.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Dancona, L

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:15:19.390434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.897554Z digest=sha256:d60100a882a2cf8cb2f95f98dd9d46e3345b3683e9a99ee6a897ea8d64f25e2a

Observation ca9d6ed3-5975-4a72-808a-3394d29c41b5 · outbound

This paper cites Dancona, L.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Dancona, L

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:15:19.375365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.902472Z digest=sha256:28439487b597f6bcf1c6f35650da418a68297cfca2077a5342bf375ce7b8f59b

Observation 066c52e3-bce6-484a-9d64-837f83fb8175 · outbound

This paper cites Dancona, L.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Dancona, L

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:15:19.361099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.907215Z digest=sha256:6477b80c01d6ee2e491651a7552e530bff3a378c062c5f4c4f142527ea38b6df

Observation 6792296e-5aeb-47fd-8791-dfcd4d61cddd · outbound

This paper cites Erdogan, M.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Erdogan, M

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:15:19.346549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.912432Z digest=sha256:66a7c24f14ff939680f15d2127819cbd661a4a53722a4d090358db2a368f2143

Observation a4f623a6-cf51-4aba-9e97-cd955913c485 · outbound

This paper cites Erdogan, M.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Erdogan, M

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:15:19.330909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.916997Z digest=sha256:f450b20c28d91ebad557d127745c39f1a2cf2c50215e03d4d049540f4637db68

Observation 9327be73-8e97-4717-a9af-618244dfb7ba · outbound

This paper cites Erdogan, W.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Erdogan, W

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:15:19.314127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.921364Z digest=sha256:fffbef664279d678e3d069f9ff719600b8bfc8d09eaae16769337020ea716c15

Observation 57a56570-1cb0-4e5b-9ae2-3d9d2411e6ab · outbound

This paper cites an unresolved cited work.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-12T18:15:19.297962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.925719Z digest=sha256:d155cb1e71545b0155c9fbb1859094b9e7c2d997970ab75f0a91cbbeac8d594e

Observation 110759a7-13fd-4d0b-90c8-cec4828661c8 · outbound

This paper cites Goldberg, W.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Goldberg, W

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:15:19.281891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.930040Z digest=sha256:2c66f2eef5377fbbd2ec7383ee6e29c768d0351327c955b437b8db7208d3207f

Observation 2049dd85-b95c-4f21-b70c-e118f0100411 · outbound

This paper cites Ionescu, D.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Ionescu, D

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:15:19.265413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.934475Z digest=sha256:eddbabd321368686e257ef2ca61a9bfe0e2f2b965daeb224d51c296849295773

Observation b43dad7d-2d04-4dba-bad9-b5407eb7fb9c · outbound

This paper cites Ionescu, W.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Ionescu, W

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:15:19.247626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.939476Z digest=sha256:84421b8160c15106c39c7369f906e731f401ed297b0291ecc862c546464b3ba2

Observation e1fe0e8f-4703-47fa-9781-3b85ace864ee · outbound

This paper cites Journ\'e, A.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Journ\'e, A

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:15:19.230900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.944293Z digest=sha256:a3375b38e1778cf5cd16e5b51e0a04b3e2abd14df1fadc465032dbd3d6316584

Observation cf0a10af-2496-49c1-b74f-ada9e7664431 · outbound

This paper cites Kato, Wave operators and similarity for some non-selfadjoint operators, Math.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Kato, Wave operators and similarity for some non-selfadjoint operators, Math

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:15:19.214978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.948521Z digest=sha256:fc12ea609544836cd904cbf12c735c1761a808a756ce8fd74dc1d516585cc5aa

Observation 5d28aa6a-0f42-49f0-b993-ccce0dcfbc50 · outbound

This paper cites an unresolved cited work.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-12T18:15:19.198307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.952904Z digest=sha256:1c25d085a372b6c46de8b484f482b249e381b20b8f4f8091af8228ff0535a932

Observation f7dac534-530d-4cb1-badd-d3434c96b8b4 · outbound

This paper cites an unresolved cited work.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-12T18:15:19.182066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.957390Z digest=sha256:d8d72a265923bf517a292d7bf5099d8c52622ea574bfbb219739a45eb2442f1a

Observation 2e72b5a2-9c09-4c3b-8208-17e44c9e4424 · outbound

This paper cites Rodnianski, W.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Rodnianski, W

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-12T18:15:18.961754Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T18:15:18.961754Z digest=sha256:57a80d0ea793136cd977b2676fb5881fc3ebaa6d4a3da49413f4f6d22f203c12

Observation 70a72a82-b271-4710-b420-20dac398309f · outbound

This paper cites Simon, Schr\" o dinger semigroups , Bull.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Simon, Schr\" o dinger semigroups , Bull

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:15:19.156481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.966073Z digest=sha256:af64c725af482c6554ec936de1061fde3826cf2b84b264405dbeaa658e1b559c

Observation 624fc889-798b-4b08-91af-245aa6d239b2 · outbound

This paper cites Yajima, Dispersive estimates for Schr\" o dinger equations with threshold resonance and eigenvalue , Commun.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Yajima, Dispersive estimates for Schr\" o dinger equations with threshold resonance and eigenvalue , Commun

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:15:19.141219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.970548Z digest=sha256:8bf6a64b502bcf76ed42c4748601659bf270bd160bdb48155f1c7aa12f329cf1

Pith citing papers

Observation ea7d6ff9-070b-4a99-a523-bd3e634edd06 · inbound

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds cites this paper.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-10T20:56:55.925305Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:56:55.925305Z digest=sha256:cf5835a3903f76fa2b83d300204c25862c4314a10a2a6edc8f315574d96dc237

Observation 2da8f8c0-82a3-4959-8a79-0d24409ac2da · inbound

Decay and Strichartz estimates for critical electromagnetic wave equations on conic manifolds cites this paper.

Decay and Strichartz estimates for critical electromagnetic wave equations on conic manifolds Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-07T04:56:36.756436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T04:56:36.500951Z digest=sha256:094e916b7e51fa98860b6637bbca91c017cc6cdba281458ea7cd714ca9706838