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Paper Citation Record · LEDGER

Smoothing effect and quantum-classical correspondence for the Schr{\"o}dinger equation with confining potential

As of 15 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2412.01209.

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

pith.paper-citation-record.v1
2412.01209 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T04:40:47.169726Z

measured 18 of 18 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

18 of 18 outbound references displayed

  • verified exact0
  • verified fuzzy14
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7f174f25-0182-41b7-958a-cafc541661a0 · outbound

This paper cites Smoothing effect for S chr\"odinger boundary value problems.

Smoothing effect and quantum-classical correspondence for the Schr{\"o}dinger equation with confining potential Smoothing effect for S chr\"odinger boundary value problems

Reference 1

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=arxiv_source observed=2026-08-12T04:40:47.087885Z digest=sha256:5a468c04cdbe3e0cafd99834b51e44cd9881ed202abcfe4f5f74f10c5215f8c8

Observation a3da147d-ce26-41ba-966b-ae066529eec7 · outbound

This paper cites Calder \'o n and R\'emi Vaillancourt.

Smoothing effect and quantum-classical correspondence for the Schr{\"o}dinger equation with confining potential Calder \'o n and R\'emi Vaillancourt

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:47.483440Z

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=arxiv_source observed=2026-08-12T04:40:47.093304Z digest=sha256:c7cc542b0fcc074b93f36f444dd26faa2fdd034538556183abf68fd3f5228eca

Observation 663b24f9-71a9-4809-adfb-7f2476a0a3bf · outbound

This paper cites Smoothness of solutions for S chr\" o dinger equations with unbounded potentials.

Smoothing effect and quantum-classical correspondence for the Schr{\"o}dinger equation with confining potential Smoothness of solutions for S chr\" o dinger equations with unbounded potentials

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:47.467678Z

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=arxiv_source observed=2026-08-12T04:40:47.098304Z digest=sha256:82f229b7484fe96ade0f2c162ba2b05a29feec57b52e2930c1b87f628f36a2df

Observation 90857bce-dbe8-4d73-93fc-30c55424b1a0 · outbound

This paper cites Spectral asymptotics in the semi-classical limit , volume 268 of London Mathematical Society Lecture Note Series.

Smoothing effect and quantum-classical correspondence for the Schr{\"o}dinger equation with confining potential Spectral asymptotics in the semi-classical limit , volume 268 of London Mathematical Society Lecture Note Series

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:47.452268Z

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=arxiv_source observed=2026-08-12T04:40:47.103335Z digest=sha256:90a5025c34f9b09d708caefd4891b55060cc18525b9311cf5b4484f6c6e2fa3e

Observation e731ecec-c6f6-4ded-968e-6bfeb085de81 · outbound

This paper cites an unresolved cited work.

Smoothing effect and quantum-classical correspondence for the Schr{\"o}dinger equation with confining potential Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-12T04:40:47.435144Z

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=arxiv_source observed=2026-08-12T04:40:47.108283Z digest=sha256:6f99fb5370bb69e0ea19b9aa7473d3a273c13f4d690fbe7c02c0a6e1937e65e8

Observation 99e0c2a5-3aca-4d17-bfa0-fcb465036a66 · outbound

This paper cites The analysis of linear partial differential operators.

Smoothing effect and quantum-classical correspondence for the Schr{\"o}dinger equation with confining potential The analysis of linear partial differential operators

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:47.418702Z

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=arxiv_source observed=2026-08-12T04:40:47.112922Z digest=sha256:8cd834da5c03cfed2ef6b81a1cd04874bc1df0d54a1d3dbe3ea6b5f562f8f5c4

Observation 2b810243-93a0-41b8-b7d5-a76cf80a30c8 · outbound

This paper cites Metrics on the phase space and non-selfadjoint pseudo-differential operators.

Smoothing effect and quantum-classical correspondence for the Schr{\"o}dinger equation with confining potential Metrics on the phase space and non-selfadjoint pseudo-differential operators

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:47.403443Z

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=arxiv_source observed=2026-08-12T04:40:47.118245Z digest=sha256:a4159168b2600af4e938c916c9c44c3a026f1c1b6ba20dc86edc018cd5ff74fe

Observation c6e5df36-5bb8-445a-a604-6336e6d1153a · outbound

This paper cites Uniform observability estimates for linear waves.

Smoothing effect and quantum-classical correspondence for the Schr{\"o}dinger equation with confining potential Uniform observability estimates for linear waves

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:47.387899Z

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=arxiv_source observed=2026-08-12T04:40:47.122888Z digest=sha256:bfdced44b270bda87261b32d6a63092716f6bd602d5d36888e27bd83851c1c7a

Observation 69c3d9ca-9f49-4fe4-b0c3-a9e9842cb59d · outbound

This paper cites An introduction to semiclassical and microlocal analysis.

Smoothing effect and quantum-classical correspondence for the Schr{\"o}dinger equation with confining potential An introduction to semiclassical and microlocal analysis

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:47.372233Z

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=arxiv_source observed=2026-08-12T04:40:47.127337Z digest=sha256:1bcba5b71628a92b3e209be948a4f9ac9c392dac4e1c723abf292eacc5418727

Observation 65b138ed-9f76-405d-99d1-06a3b148c437 · outbound

This paper cites Observability of the Schr{\"o}dinger equation with subquadratic confining potential in the Euclidean space.

Smoothing effect and quantum-classical correspondence for the Schr{\"o}dinger equation with confining potential Observability of the Schr{\"o}dinger equation with subquadratic confining potential in the Euclidean space

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-12T04:40:47.131875Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T04:40:47.131875Z digest=sha256:8a88b0f52594cb619216b2d39ecaa28de06550b2ac229e075e2f378339d32e6d

Observation c1e6feb1-b9d0-4764-8669-c4dfbe7d363d · outbound

This paper cites Egorov's theorem in the W eyl-- H \"o rmander calculus, 2024.

Smoothing effect and quantum-classical correspondence for the Schr{\"o}dinger equation with confining potential Egorov's theorem in the W eyl-- H \"o rmander calculus, 2024

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:47.355534Z

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=arxiv_source observed=2026-08-12T04:40:47.136640Z digest=sha256:c36aab13264498aecbeb814c201c357be8e6066918e92eebf6674301fe486930

Observation da73f268-3f75-483d-af30-57c0d33ff082 · outbound

This paper cites o dinger operator. In Studies in phase space analysis with applications to PDE s , volume 84 of Progr. Nonlinear Differential Equations Appl. , pages 355--369. Birkh\.

Smoothing effect and quantum-classical correspondence for the Schr{\"o}dinger equation with confining potential o dinger operator. In Studies in phase space analysis with applications to PDE s , volume 84 of Progr. Nonlinear Differential Equations Appl. , pages 355--369. Birkh\

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:47.334865Z

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=arxiv_source observed=2026-08-12T04:40:47.140973Z digest=sha256:fd1d46d1bf9ba82649e08aa49d1e4d1f6ee0223d5f3dc98151bac4204e0c4090

Observation b8fb2f34-7d1d-4f84-bc22-3cb8899f12ba · outbound

This paper cites Remark on the K ato smoothing effect for S chr\" o dinger equation with superquadratic potentials.

Smoothing effect and quantum-classical correspondence for the Schr{\"o}dinger equation with confining potential Remark on the K ato smoothing effect for S chr\" o dinger equation with superquadratic potentials

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:47.315696Z

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=arxiv_source observed=2026-08-12T04:40:47.145397Z digest=sha256:d786a1eb83d49c282bb726ad3d0758c7b8cac7bfa4971b7a36bbb98353262902

Observation 86e4161f-7ba8-4151-95ef-bc865bb18328 · outbound

This paper cites The K ato smoothing effect for S chr\"odinger equations with unbounded potentials in exterior domains.

Smoothing effect and quantum-classical correspondence for the Schr{\"o}dinger equation with confining potential The K ato smoothing effect for S chr\"odinger equations with unbounded potentials in exterior domains

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:47.296381Z

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=arxiv_source observed=2026-08-12T04:40:47.150052Z digest=sha256:e8ad7844fb166df79cb21b7ca8ba37591194ff7c62511cc0a9c6cca696a84bea

Observation e85ec23d-b40f-457f-8881-1de400c37790 · outbound

This paper cites an unresolved cited work.

Smoothing effect and quantum-classical correspondence for the Schr{\"o}dinger equation with confining potential Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-12T04:40:47.279588Z

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=arxiv_source observed=2026-08-12T04:40:47.154744Z digest=sha256:903cb8b2c633cc65a1a26584f4950e3ddff473b7277a6160d61151037b0c754d

Observation 60a92473-ff37-4409-9cf7-e30695312684 · outbound

This paper cites an unresolved cited work.

Smoothing effect and quantum-classical correspondence for the Schr{\"o}dinger equation with confining potential Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-12T04:40:47.262617Z

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=arxiv_source observed=2026-08-12T04:40:47.159785Z digest=sha256:4a2edf736fe1b3750c13ecfb901812bac33a8b0cff001636b0b00a227620d337

Observation 712f36b3-2644-43cb-8b74-ce63c9f54a7c · outbound

This paper cites On smoothing property of S chr\"odinger propagators.

Smoothing effect and quantum-classical correspondence for the Schr{\"o}dinger equation with confining potential On smoothing property of S chr\"odinger propagators

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:47.244982Z

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=arxiv_source observed=2026-08-12T04:40:47.164768Z digest=sha256:aaee0f4f617ec6fa401087e24aa86cf7041aab8c5c341184a067d0bdc01fc5c4

Observation 9ed9324d-092e-4466-b265-a7f6877d9709 · outbound

This paper cites Semiclassical analysis , volume 138 of Graduate Studies in Mathematics.

Smoothing effect and quantum-classical correspondence for the Schr{\"o}dinger equation with confining potential Semiclassical analysis , volume 138 of Graduate Studies in Mathematics

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:47.228025Z

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=arxiv_source observed=2026-08-12T04:40:47.169726Z digest=sha256:1d3e8f331ac1b6c02eadaf3e079b9b77233a1e4166246afa4409722cf8f43011

Pith citing papers

No inbound Pith citation observations are available.