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Paper Citation Record · LEDGER

Wave front set of solutions to Schr\"odinger equations with perturbed harmonic oscillators

As of 16 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:1908.08358.

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

pith.paper-citation-record.v1
1908.08358 v2

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:51:07.473683Z

measured 30 of 30 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

30 of 30 outbound references displayed

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  • verified fuzzy25
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 560d7b58-0a87-4ca4-b6d1-f28c5488d426 · outbound

This paper cites C´ ordoba and C.

Wave front set of solutions to Schr\"odinger equations with perturbed harmonic oscillators C´ ordoba and C

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 2026-08-16T06:30:59.297886+00:00.

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Observation 5a0cd2b8-38c2-4b0c-8d38-cf9608f6a9f5 · outbound

This paper cites Craig, T.

Wave front set of solutions to Schr\"odinger equations with perturbed harmonic oscillators Craig, T

Reference 2

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verified fuzzy
raw_fallback, observed 2026-08-14T11:51:07.791428Z

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.

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Observation f113e439-3203-49e0-b272-a669786aead4 · outbound

This paper cites Delort, F.B.I.

Wave front set of solutions to Schr\"odinger equations with perturbed harmonic oscillators Delort, F.B.I

Reference 3

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verified fuzzy
raw_fallback, observed 2026-08-14T11:51:07.781992Z

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.

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Observation c46819d4-7d6c-4314-a1f3-8c289722a97b · outbound

This paper cites Doi, Smoothing effects for Schr¨ odinger evolution equation and global behavior of geodesic flow , Math.

Wave front set of solutions to Schr\"odinger equations with perturbed harmonic oscillators Doi, Smoothing effects for Schr¨ odinger evolution equation and global behavior of geodesic flow , Math

Reference 4

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verified fuzzy
raw_fallback, observed 2026-08-14T11:51:07.772150Z

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=2026-08-14T11:51:07.385854Z digest=sha256:dbb98d514ceea5bb0cdf545eaba87fa1475ca0dd4a670ab4bed04379303d494c

Observation 7d22d50a-b42d-445f-b401-3e47b2af42dc · outbound

This paper cites Doi, Commutator algebra and abstract smoothing effect , J.

Wave front set of solutions to Schr\"odinger equations with perturbed harmonic oscillators Doi, Commutator algebra and abstract smoothing effect , J

Reference 5

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raw_fallback, observed 2026-08-14T11:51:07.762236Z

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=2026-08-14T11:51:07.389456Z digest=sha256:371a4f60a03fe928422a72fbb14cc944568871e1b4003ce9d8ff6a2afbf8a1a2

Observation 484435f4-187f-42a3-88e5-1b78af2e726e · outbound

This paper cites an unresolved cited work.

Wave front set of solutions to Schr\"odinger equations with perturbed harmonic oscillators Unresolved cited work

Reference 6

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raw_fallback, observed 2026-08-14T11:51:07.752061Z

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.

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Observation fd73fec5-0bc7-4915-bd43-9602d8510969 · outbound

This paper cites G´ erard,Moyennisation et r´ egularit´ e deux-microlocale, Ann.

Wave front set of solutions to Schr\"odinger equations with perturbed harmonic oscillators G´ erard,Moyennisation et r´ egularit´ e deux-microlocale, Ann

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:51:07.742631Z

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=2026-08-14T11:51:07.397149Z digest=sha256:af8929387fe889f1fb30edb1dac4526b222f335999cd6b4b1e8bd5a45bd1b6bb

Observation 8f9097af-1955-4379-aa6a-0cbc9e33a685 · outbound

This paper cites Gr¨ ochenig, Foundations of Time-Frequency Analysis , Birkh¨ auser, Boston, 2001.

Wave front set of solutions to Schr\"odinger equations with perturbed harmonic oscillators Gr¨ ochenig, Foundations of Time-Frequency Analysis , Birkh¨ auser, Boston, 2001

Reference 8

Resolution
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raw_fallback, observed 2026-08-14T11:51:07.733388Z

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=2026-08-14T11:51:07.400485Z digest=sha256:192184596efb05f4b238d51762d32b4fa19ec165cad9615ad531aa28db3909a3

Observation 0c5663bd-55eb-4b13-beee-d32f54e9a6c7 · outbound

This paper cites Hassell and J.

Wave front set of solutions to Schr\"odinger equations with perturbed harmonic oscillators Hassell and J

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:51:07.723871Z

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=2026-08-14T11:51:07.403671Z digest=sha256:6c33d1d6b9f30b1422529ad01b68ad269e6e169e04e73fbc8546719832f3cb8c

Observation ace17b5e-b842-4159-a059-7d49ae81c13b · outbound

This paper cites H¨ ormander, The analysis of Linear Partial Differential Operators I, Springer, Berlin, 1989.

Wave front set of solutions to Schr\"odinger equations with perturbed harmonic oscillators H¨ ormander, The analysis of Linear Partial Differential Operators I, Springer, Berlin, 1989

Reference 10

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verified fuzzy
raw_fallback, observed 2026-08-14T11:51:07.714265Z

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=2026-08-14T11:51:07.407082Z digest=sha256:8f8ac3835ca6baeeb1a7ba002b2dcb35e2d57a2533384a65d17095a7131c27db

Observation 303d7187-3689-4ca3-b141-98ece7973963 · outbound

This paper cites H¨ ormander, Fourier integral operators I , Acta.

Wave front set of solutions to Schr\"odinger equations with perturbed harmonic oscillators H¨ ormander, Fourier integral operators I , Acta

Reference 11

Resolution
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raw_fallback, observed 2026-08-14T11:51:07.704764Z

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.

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Observation 13240706-e9ab-4079-b700-ccedbb172829 · outbound

This paper cites an unresolved cited work.

Wave front set of solutions to Schr\"odinger equations with perturbed harmonic oscillators Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:51:07.695130Z

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.

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Observation 84fdf663-21ac-41a3-a90f-6a0cfb73b5ad · outbound

This paper cites an unresolved cited work.

Wave front set of solutions to Schr\"odinger equations with perturbed harmonic oscillators Unresolved cited work

Reference 13

Resolution
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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=2026-08-14T11:51:07.416985Z digest=sha256:c37e6e64797a8815efd042216fc01a85934e34917b243e3598d0d07d3ec9e675

Observation f12a8195-9bcf-4d04-989d-471eaf6f9421 · outbound

This paper cites an unresolved cited work.

Wave front set of solutions to Schr\"odinger equations with perturbed harmonic oscillators Unresolved cited work

Reference 14

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unresolved
raw_fallback, observed 2026-08-14T11:51:07.675555Z

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=2026-08-14T11:51:07.420471Z digest=sha256:29183fe85e48a5c8faba0e163291656d6fa719220edf9ca7c8b675e19e8c8fdd

Observation 64625b0a-19a8-41ba-95c5-4587237b2954 · outbound

This paper cites an unresolved cited work.

Wave front set of solutions to Schr\"odinger equations with perturbed harmonic oscillators Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:51:07.665595Z

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=2026-08-14T11:51:07.423792Z digest=sha256:23a24abc2fdca8f6c7c8a56e85529e9f7b1115dbf862f7999269b0b496d11e52

Observation c0cc5157-1b41-42b4-ac78-89a3ad27f30e · outbound

This paper cites Kapitanski, I.

Wave front set of solutions to Schr\"odinger equations with perturbed harmonic oscillators Kapitanski, I

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:51:07.655814Z

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=2026-08-14T11:51:07.427072Z digest=sha256:568f626071579081df3576bf9ae2420505c988cfc1b8cdf730de5e372f33103b

Observation bb359f31-ddd5-45b6-8e32-9d1674b5c76c · outbound

This paper cites Lascar, Propagation des singularit´ e des solutions d’´ equations p seudo- differentielles quasi homog` enes , Ann.

Wave front set of solutions to Schr\"odinger equations with perturbed harmonic oscillators Lascar, Propagation des singularit´ e des solutions d’´ equations p seudo- differentielles quasi homog` enes , Ann

Reference 17

Resolution
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raw_fallback, observed 2026-08-14T11:51:07.645073Z

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=2026-08-14T11:51:07.430232Z digest=sha256:ac90d934c800cc979386612b32e38ad0a1ce22a1c5f09b3da1e91012548098a4

Observation 0951a174-154d-40f6-a592-bb43ae84e870 · outbound

This paper cites Mao, Wave front set for solutions to Schr¨ odinger equations with long-range pertubed harmonic oscillators J.

Wave front set of solutions to Schr\"odinger equations with perturbed harmonic oscillators Mao, Wave front set for solutions to Schr¨ odinger equations with long-range pertubed harmonic oscillators J

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:51:07.634805Z

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=2026-08-14T11:51:07.433554Z digest=sha256:881cb0e9dbf4dd4f266a2e2c79b7d1c5f8ee671b8504bd6dabc5da46468e8d0b

Observation 2b522315-1fd0-4db3-bd83-4c9d87cd18c1 · outbound

This paper cites Mao and S.

Wave front set of solutions to Schr\"odinger equations with perturbed harmonic oscillators Mao and S

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:51:07.624561Z

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=2026-08-14T11:51:07.436666Z digest=sha256:eddad4299b1ec6688b29f019c902454222b9fd02827410408aa80ef8fe7d067e

Observation f841ca11-11b5-479a-b7ab-a79836307938 · outbound

This paper cites Nakamura, Propagation of the homogeneous wave front set for Schr¨ odin ger equations, Duke Math.

Wave front set of solutions to Schr\"odinger equations with perturbed harmonic oscillators Nakamura, Propagation of the homogeneous wave front set for Schr¨ odin ger equations, Duke Math

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:51:07.613767Z

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=2026-08-14T11:51:07.439965Z digest=sha256:061fdcb33e4ebf89d5fcabb4186c445e8800c0f3d4cb397ecf09502caa90b381

Observation 6bad0dc9-061e-497c-aa89-2c0411649e51 · outbound

This paper cites Nakamura, Semiclassical singularities propagation property for Sch r¨ odinger equations, J.

Wave front set of solutions to Schr\"odinger equations with perturbed harmonic oscillators Nakamura, Semiclassical singularities propagation property for Sch r¨ odinger equations, J

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:51:07.603143Z

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.

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Observation fad7710c-dac6-4b92-9f9f-26919eeddb52 · outbound

This paper cites ¯Okaji, A note on the wave packet transforms , Tsukuba J.

Wave front set of solutions to Schr\"odinger equations with perturbed harmonic oscillators ¯Okaji, A note on the wave packet transforms , Tsukuba J

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:51:07.592055Z

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=2026-08-14T11:51:07.446609Z digest=sha256:ed43a133e54c46a541f5cf7b77a125e71a37afce8c653f048a2344981f05f7a1

Observation 9f854a30-9af3-41e1-bfa4-6e4ccd1f2542 · outbound

This paper cites ¯Okaji, Propagation of wave packets and its applications.

Wave front set of solutions to Schr\"odinger equations with perturbed harmonic oscillators ¯Okaji, Propagation of wave packets and its applications

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:51:07.580389Z

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=2026-08-14T11:51:07.449829Z digest=sha256:1273a5cd6d54bf3517360e358a543d831eb81ac74a4ff1cca1e77200e74cc92f

Observation d2bb5020-642b-4cd1-94fe-aa8feb1969d9 · outbound

This paper cites Parenti and F.

Wave front set of solutions to Schr\"odinger equations with perturbed harmonic oscillators Parenti and F

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:51:07.569295Z

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=2026-08-14T11:51:07.453082Z digest=sha256:5dd2d470d5ed52a3ffab6c08051955582112cd4d145d8ff10f92a5fd7f8335cc

Observation 3c14a638-84de-45d9-8ef8-fe38dbd06149 · outbound

This paper cites Sakurai, Quasi-Homogeneous wave front set and fundamental solution s for the Schr¨ odinger Operator, Sci.

Wave front set of solutions to Schr\"odinger equations with perturbed harmonic oscillators Sakurai, Quasi-Homogeneous wave front set and fundamental solution s for the Schr¨ odinger Operator, Sci

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:51:07.557463Z

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=2026-08-14T11:51:07.456331Z digest=sha256:a4c7932bd3e257fb714a2095e89ef3265709e52fa8881979272759c3e14e4edd

Observation 277cfa6e-5e70-442b-b7ad-083375b4cf35 · outbound

This paper cites Wunsch, The trace of the generalized harmonic oscillator , Ann.

Wave front set of solutions to Schr\"odinger equations with perturbed harmonic oscillators Wunsch, The trace of the generalized harmonic oscillator , Ann

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:51:07.546771Z

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=2026-08-14T11:51:07.459541Z digest=sha256:bc6a8373174127b6e73f5ebea730ac510213b2b6452369ec70f6b9e6603bd0a2

Observation 664154e8-3298-4dc0-bca1-86d349bb2cbd · outbound

This paper cites Yajima, private communication, (1995).

Wave front set of solutions to Schr\"odinger equations with perturbed harmonic oscillators Yajima, private communication, (1995)

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:51:07.536052Z

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=2026-08-14T11:51:07.462664Z digest=sha256:48330ff661792b5de69222db8cad7c40bb36d00c96bec2b15219003abc9ee4a4

Observation 9fd3c5a3-15cd-424b-9cc7-8b21f3a2c718 · outbound

This paper cites Yajima, Smoothness and nonsmoothness of the fundamental solution o f time dependent Schr¨ odinger equations, Comm.

Wave front set of solutions to Schr\"odinger equations with perturbed harmonic oscillators Yajima, Smoothness and nonsmoothness of the fundamental solution o f time dependent Schr¨ odinger equations, Comm

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:51:07.525850Z

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=2026-08-14T11:51:07.465908Z digest=sha256:dbc762835ffad4c64afc32aaf08d0d370673e068a8e84289faa52937c4af0fed

Observation 966012dc-add6-43d9-bcbe-f1db6c224a52 · outbound

This paper cites Yajima, On fundamental solution of time dependent Sch¨ odinger equa tions , Cotemporary Math.

Wave front set of solutions to Schr\"odinger equations with perturbed harmonic oscillators Yajima, On fundamental solution of time dependent Sch¨ odinger equa tions , Cotemporary Math

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:51:07.515883Z

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=2026-08-14T11:51:07.469567Z digest=sha256:233bc91ce3b82dbcb16d5761c47c5a5d1f2bd18abdc20541b635f12592681a48

Observation bf535a67-a0e1-4ce3-8391-895ffa36bc6a · outbound

This paper cites Zelditch, Reconstruction of singularities for solutions of Schr¨ odinger’s equa- tion, Comm.

Wave front set of solutions to Schr\"odinger equations with perturbed harmonic oscillators Zelditch, Reconstruction of singularities for solutions of Schr¨ odinger’s equa- tion, Comm

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:51:07.505092Z

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=2026-08-14T11:51:07.473683Z digest=sha256:abf32ca248bbaeae75bb1c24421004e4f888b716e8a822c637d00dddb28ecccd

Pith citing papers

No inbound Pith citation observations are available.