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Paper Citation Record · LEDGER

On the reducibility of the 1d quantum harmonic oscillator with a quasi-periodic bounded potential

As of 13 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2509.01484.

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

pith.paper-citation-record.v1
2509.01484 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T12:49:51.655130Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

  • verified exact25
  • verified fuzzy3
  • unresolved0
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c78fcd8a-8302-446d-aa93-56caf6b83654 · outbound

This paper cites Baldi, R.

On the reducibility of the 1d quantum harmonic oscillator with a quasi-periodic bounded potential Baldi, R

Reference 1

Resolution
metadata mismatch
raw_fallback, observed 2026-08-05T12:49:51.961414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T12:49:51.570226Z digest=sha256:8f575fdd103d6b2ed8cb950965003e35dc5e4228e61ba3a4ead3aa9f8af111b8

Observation fab6bc5a-8a3e-4a83-acb3-c25f8f8d8f57 · outbound

This paper cites Bambusi, Reducibility of 1-d Schrödinger equation with time quasiperiodic unbounded perturbations.

On the reducibility of the 1d quantum harmonic oscillator with a quasi-periodic bounded potential Bambusi, Reducibility of 1-d Schrödinger equation with time quasiperiodic unbounded perturbations

Reference 2

Resolution
verified exact
doi, observed 2026-08-05T12:49:51.881942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T12:49:51.573425Z digest=sha256:5156c4df6ec84a51c86f122025d942a3c46bc89c923e6c4f9fb4c798ce7b17bc

Observation 2de1c1fe-f0ef-478a-bf79-93cf889eef9a · outbound

This paper cites Bambusi, Reducibility of 1-d Schrödinger equation with time quasiperiodic unbounded perturbations.

On the reducibility of the 1d quantum harmonic oscillator with a quasi-periodic bounded potential Bambusi, Reducibility of 1-d Schrödinger equation with time quasiperiodic unbounded perturbations

Reference 3

Resolution
verified exact
doi, observed 2026-08-05T12:49:51.874567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T12:49:51.576728Z digest=sha256:efcc1f23ec11551619376f13fa4720c3be25e00f0d9f081fb39ee16b88ee4f28

Observation c9d3c6d3-9284-49cd-8a5b-246460fc8599 · outbound

This paper cites Bambusi, S.

On the reducibility of the 1d quantum harmonic oscillator with a quasi-periodic bounded potential Bambusi, S

Reference 4

Resolution
verified exact
doi, observed 2026-08-05T12:49:51.866220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T12:49:51.579775Z digest=sha256:96217b6b283fb76149d62f51db995e4cc219c0576221a031b926605e8f8fc3a8

Observation dab8a13f-744e-4228-a318-e6a84203650c · outbound

This paper cites Bambusi, B.

On the reducibility of the 1d quantum harmonic oscillator with a quasi-periodic bounded potential Bambusi, B

Reference 5

Resolution
verified exact
doi, observed 2026-08-05T12:49:51.858328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T12:49:51.582817Z digest=sha256:65a6c34ad7e72df79a03f388e5f6b6482383c324dd9652e298d7580cf577d009

Observation 51d7285c-a0fa-4f8d-909a-e0f8929e14f9 · outbound

This paper cites Bambusi, B.

On the reducibility of the 1d quantum harmonic oscillator with a quasi-periodic bounded potential Bambusi, B

Reference 6

Resolution
verified exact
doi, observed 2026-08-05T12:49:51.850234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T12:49:51.586004Z digest=sha256:b063ad6ff7c85639929c09e9666c22c64ae9276d0c8dda95939eec786935bf80

Observation 7bd9843a-0f49-498e-b1e6-55fcbe3d5af0 · outbound

This paper cites Bambusi, B.

On the reducibility of the 1d quantum harmonic oscillator with a quasi-periodic bounded potential Bambusi, B

Reference 7

Resolution
verified exact
doi, observed 2026-08-05T12:49:51.842740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T12:49:51.589571Z digest=sha256:3fbbd75def641d4b01d0c709ae915784893d903f98ea37d094b1e5a277fb6c80

Observation c2b6edcc-8e15-463b-bb79-26f798bd673f · outbound

This paper cites Bambusi, R.

On the reducibility of the 1d quantum harmonic oscillator with a quasi-periodic bounded potential Bambusi, R

Reference 8

Resolution
verified exact
doi, observed 2026-08-05T12:49:51.835000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T12:49:51.592789Z digest=sha256:782cd8c545fc1529f3adccfd33793833cc71a0ce44eee3f7fd150f9c0e6cab51

Observation 96ffaf39-f4de-4fce-8ee4-78a0c1fd3bdd · outbound

This paper cites Chodosh, Infinite matrix representations of isotropic pseudodifferential operators,Methods Appl.

On the reducibility of the 1d quantum harmonic oscillator with a quasi-periodic bounded potential Chodosh, Infinite matrix representations of isotropic pseudodifferential operators,Methods Appl

Reference 9

Resolution
verified exact
doi, observed 2026-08-05T12:49:51.827617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T12:49:51.595799Z digest=sha256:5df128d24669b91fe81707ca8f9c55cb7fd461b9ec3378ab106ce80dc0cc3dc0

Observation 730083ed-aaa7-4622-b614-1fc276f50148 · outbound

This paper cites Corsi, R.

On the reducibility of the 1d quantum harmonic oscillator with a quasi-periodic bounded potential Corsi, R

Reference 10

Resolution
verified exact
doi, observed 2026-08-05T12:49:51.820147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T12:49:51.598929Z digest=sha256:67d8cc9711c3eeeacfbd866e788e206ec2288b9aeb413e9e6e8dedbc18d9cfbc

Observation d1a79f3e-e1db-4684-b82c-7f341c427e63 · outbound

This paper cites Eliasson, S.B.

On the reducibility of the 1d quantum harmonic oscillator with a quasi-periodic bounded potential Eliasson, S.B

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:49:51.988790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T12:49:51.601685Z digest=sha256:293e1579a9ac860d31ae3df62ad1e634fa00520307fc949e12902ca7f34710bf

Observation 40078a2d-3c5c-460f-b3fb-c198094565fe · outbound

This paper cites Eliasson, S.B.

On the reducibility of the 1d quantum harmonic oscillator with a quasi-periodic bounded potential Eliasson, S.B

Reference 12

Resolution
verified exact
doi, observed 2026-08-05T12:49:51.804306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T12:49:51.607591Z digest=sha256:3b6d17f6744abd41a266390082f23300ffc606c87ca976072217ed41ce8c3952

Observation e36b4fab-0737-44bf-a98c-7879e91da5a3 · outbound

This paper cites an unresolved cited work.

On the reducibility of the 1d quantum harmonic oscillator with a quasi-periodic bounded potential Unresolved cited work

Reference 13

Resolution
verified exact
doi, observed 2026-08-05T12:49:51.796779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T12:49:51.610758Z digest=sha256:2dd10e0dd0907e58988811b3f0cfbdf4cb4ea1146947700e1a3d8c40953fc9e6

Observation 3a24e9ae-facc-4e15-ba33-3c38b656fbd7 · outbound

This paper cites Feola, F.

On the reducibility of the 1d quantum harmonic oscillator with a quasi-periodic bounded potential Feola, F

Reference 14

Resolution
verified exact
doi, observed 2026-08-05T12:49:51.788619Z

Source-reported events for the cited work

correction dated 2020-03-20. Source: crossref record 10.1016/j.jfa.2020.108542->10.1016/j.jfa.2018.10.009:correction, observed 2026-07-11T03:15:45.857694+00:00. This notice travels one citation hop only.

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Observation d849664d-a123-4830-9f4d-02329404bf7d · outbound

This paper cites Feola, B.

On the reducibility of the 1d quantum harmonic oscillator with a quasi-periodic bounded potential Feola, B

Reference 15

Resolution
verified exact
doi, observed 2026-08-05T12:49:51.780547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T12:49:51.617239Z digest=sha256:4371039b770e0f0a26af9dd7d681c3ef18d38d6f862f4d072fd66891e20aaf16

Observation 2dd56c34-b5e3-4cb4-9dd9-62edd6ff615c · outbound

This paper cites an unresolved cited work.

On the reducibility of the 1d quantum harmonic oscillator with a quasi-periodic bounded potential Unresolved cited work

Reference 16

Resolution
verified exact
doi, observed 2026-08-05T12:49:51.772649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T12:49:51.619896Z digest=sha256:952b4bc122042b8514f99e2ae6bc47f1d7ee3f41c09c5263fe1503760dd7f37b

Observation c1c6fcdd-0ee3-408a-8e7c-244c5e71d9ae · outbound

This paper cites Grébert, E.

On the reducibility of the 1d quantum harmonic oscillator with a quasi-periodic bounded potential Grébert, E

Reference 17

Resolution
verified exact
doi, observed 2026-08-05T12:49:51.764509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T12:49:51.622469Z digest=sha256:9863b02a8deecbba9b86ef351dcb47deceb62f8d588acaba2a9a06f99b5e4f36

Observation de2a51c1-d043-4e35-8975-51835b5b04f6 · outbound

This paper cites Grébert, L.

On the reducibility of the 1d quantum harmonic oscillator with a quasi-periodic bounded potential Grébert, L

Reference 18

Resolution
verified exact
doi, observed 2026-08-05T12:49:51.756488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T12:49:51.624894Z digest=sha256:524934126eefc48d49abab3e171e6928289b81dda69751afde11b082f4cb5657

Observation 97fa2c9a-ea2d-4994-b603-6c842f01e786 · outbound

This paper cites an unresolved cited work.

On the reducibility of the 1d quantum harmonic oscillator with a quasi-periodic bounded potential Unresolved cited work

Reference 19

Resolution
verified exact
doi, observed 2026-08-05T12:49:51.747339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T12:49:51.627446Z digest=sha256:b132cb710a5b692f7de6780a74fec1c2f4c44bc0f84a980d7f06d79eaf5c6564

Observation b7a2894f-0af8-4f17-a185-854ac88347dd · outbound

This paper cites Kuksin, Hamiltonian perturbations of infinite-dimensional linear systems with an imaginary spectrum, Funct.

On the reducibility of the 1d quantum harmonic oscillator with a quasi-periodic bounded potential Kuksin, Hamiltonian perturbations of infinite-dimensional linear systems with an imaginary spectrum, Funct

Reference 20

Resolution
verified exact
doi, observed 2026-08-05T12:49:51.738862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T12:49:51.630453Z digest=sha256:77e9e82bf03b66e3f1b6045b7199f73d055e10837a19f635b28024f49e7dd147

Observation 852fe263-b438-411d-80b4-d6d5f1936e20 · outbound

This paper cites Kuksin, Nearly integrable infinite-dimensional Hamiltonian systems,Springer-Verlag, Berlin, 1993.

On the reducibility of the 1d quantum harmonic oscillator with a quasi-periodic bounded potential Kuksin, Nearly integrable infinite-dimensional Hamiltonian systems,Springer-Verlag, Berlin, 1993

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:49:51.979446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T12:49:51.633064Z digest=sha256:e109a3b00d3c4173d78683f0cc676d40c4e60ba2fdc83d7f33a3d4ead7aae3c8

Observation 0bf6dbb5-4ff3-4f17-87a5-45769b308f19 · outbound

This paper cites Liang, J.

On the reducibility of the 1d quantum harmonic oscillator with a quasi-periodic bounded potential Liang, J

Reference 22

Resolution
verified exact
doi, observed 2026-08-05T12:49:51.730613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T12:49:51.635856Z digest=sha256:c3860fa2f0b5c30f9b5f1634e0a9dd2911280324a5b2a25b4730be7604323c96

Observation 82f455c6-0d16-4cee-a2a5-c4219249dcdd · outbound

This paper cites Liang, Z.

On the reducibility of the 1d quantum harmonic oscillator with a quasi-periodic bounded potential Liang, Z

Reference 23

Resolution
verified exact
doi, observed 2026-08-05T12:49:51.722321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T12:49:51.638675Z digest=sha256:e8eaa7316bf40044ae896ea260c8b640257b0a12db91792559211d2b4e441855

Observation 2f086d32-bbf0-46fb-83f4-21b4d5b64080 · outbound

This paper cites Liang, Z.Q.

On the reducibility of the 1d quantum harmonic oscillator with a quasi-periodic bounded potential Liang, Z.Q

Reference 24

Resolution
verified exact
doi, observed 2026-08-05T12:49:51.713866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T12:49:51.641285Z digest=sha256:ac2016243d8ddd261c9b5ebb119ec82e599421b9042e59ee77735c7de3f19a16

Observation 35332b37-6924-4b96-96d4-4c23ebd214b2 · outbound

This paper cites Liang, Z.Q.

On the reducibility of the 1d quantum harmonic oscillator with a quasi-periodic bounded potential Liang, Z.Q

Reference 25

Resolution
malformed identifier
no resolver link, observed 2026-08-05T12:49:51.644152Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T12:49:51.644152Z digest=sha256:ec6254ab8bf91c26d88ae58c28f354a5188191f5ada5357340f4c94348bbfbf9

Observation c6a386fa-4efa-4162-9090-61e65e9cbada · outbound

This paper cites an unresolved cited work.

On the reducibility of the 1d quantum harmonic oscillator with a quasi-periodic bounded potential Unresolved cited work

Reference 26

Resolution
verified exact
doi, observed 2026-08-05T12:49:51.698933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T12:49:51.646804Z digest=sha256:28e6650f964584afe84ff98508b75c09fe7ac11a840dead705d030063cea7784

Observation 490e8e95-d253-468e-b1ad-9c067bcf48f6 · outbound

This paper cites Montalto, A reducibility result for a class of linear wave equations onTd, Int.

On the reducibility of the 1d quantum harmonic oscillator with a quasi-periodic bounded potential Montalto, A reducibility result for a class of linear wave equations onTd, Int

Reference 27

Resolution
verified exact
doi, observed 2026-08-05T12:49:51.690422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T12:49:51.649558Z digest=sha256:9ee3fe9a89accedd30d533e4bc030a7ed30ceb94a813e0ac8aa66fd288dbfd63

Observation 4daf18ad-4e60-43bb-b48b-5e19f3c7b86e · outbound

This paper cites Pöschel, A KAM-theorem for some nonlinear partial differential equations,Ann.

On the reducibility of the 1d quantum harmonic oscillator with a quasi-periodic bounded potential Pöschel, A KAM-theorem for some nonlinear partial differential equations,Ann

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:49:51.971260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T12:49:51.652462Z digest=sha256:d6af5a0506cb10e80f82af377a3a0cd11bfc42a8d9fb096dc99ff702dff5632b

Observation 30bbeb06-016f-4a01-8412-67d8b114185c · outbound

This paper cites an unresolved cited work.

On the reducibility of the 1d quantum harmonic oscillator with a quasi-periodic bounded potential Unresolved cited work

Reference 29

Resolution
verified exact
doi, observed 2026-08-05T12:49:51.681253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T12:49:51.655130Z digest=sha256:712b753f946c743353e0d7738676ec374056384d4da5b21b752595e807e72eb1

Observation dccd42e5-cc6d-450c-a775-fc60c9ae3f8c · outbound

This paper cites an unresolved cited work.

On the reducibility of the 1d quantum harmonic oscillator with a quasi-periodic bounded potential Unresolved cited work

Reference 435

Resolution
verified exact
doi, observed 2026-08-05T12:49:51.812527Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T12:49:51.604662Z digest=sha256:ce362abcc96639db2b4731d13c067634be6dba4cbb05210994dd31d944336f57

Pith citing papers

No inbound Pith citation observations are available.