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Paper Citation Record · LEDGER

On a Fractional Schr\"odinger equation in the presence of Harmonic potential

As of 16 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:1908.05719.

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

pith.paper-citation-record.v1
1908.05719 v2

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:12:14.493932Z

measured 20 of 20 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

20 of 20 outbound references displayed

  • verified exact0
  • verified fuzzy17
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 87aa38ff-7088-47c5-b2d8-0ad33a998028 · outbound

This paper cites an unresolved cited work.

On a Fractional Schr\"odinger equation in the presence of Harmonic potential Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:12:14.697852Z

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=2026-08-14T13:12:14.427660Z digest=sha256:6cdc9c6c67e0e0e25bf399fdee4bccde05284dcecd87c9657e25027cfcc383b1

Observation 970807aa-a136-4698-9d70-c44d906a60bf · outbound

This paper cites Bao and Q.

On a Fractional Schr\"odinger equation in the presence of Harmonic potential Bao and Q

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:12:14.689991Z

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=2026-08-14T13:12:14.431914Z digest=sha256:b8282dc0e06481536fce95458eaaf3104579ed7b61961f3f2d53036690cde7bb

Observation ea6bdd02-dc2e-4033-b68e-fd462774ff2a · outbound

This paper cites Carles and H.

On a Fractional Schr\"odinger equation in the presence of Harmonic potential Carles and H

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:12:14.682632Z

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=2026-08-14T13:12:14.435311Z digest=sha256:486fd0df9054d6a47a3cf0f1b5d5ecc2951f4061f841a7074233e8777fd2e22b

Observation 16aa26d9-2402-45a8-8fc1-dba063386cc1 · outbound

This paper cites Cazenave and P.-L.

On a Fractional Schr\"odinger equation in the presence of Harmonic potential Cazenave and P.-L

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:12:14.674296Z

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=2026-08-14T13:12:14.438229Z digest=sha256:b677ae4b9e4f5eafdbd3b5be855d44e4357492dd6e619b627cc1847df4a7fde7

Observation 55b0a3f6-d02f-4d45-b096-743858f60761 · outbound

This paper cites Chang , Ground state solutions of asymptotically linear fractional schrdinger equation , Journal of Mathematical Physics, 54 (2013).

On a Fractional Schr\"odinger equation in the presence of Harmonic potential Chang , Ground state solutions of asymptotically linear fractional schrdinger equation , Journal of Mathematical Physics, 54 (2013)

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:12:14.665910Z

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=2026-08-14T13:12:14.441997Z digest=sha256:3b483fd2c7ea772874ce63eb15ef717bebe8e5932137b1d37b59bb08525ee908

Observation b66cf9cb-d0a1-483d-971c-db916fa6ad77 · outbound

This paper cites Cheng , Bound state for the fractional schrdinger equation with unbounded potential , Journal of Mathematical Physics, 53 (2012).

On a Fractional Schr\"odinger equation in the presence of Harmonic potential Cheng , Bound state for the fractional schrdinger equation with unbounded potential , Journal of Mathematical Physics, 53 (2012)

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:12:14.657909Z

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=2026-08-14T13:12:14.445622Z digest=sha256:1fb1da4c895a9bee09cabf2994de61e2c12c7a0fe02da2e666ca1a89f24f4f1b

Observation 93474124-40ec-477b-a5ef-66af5fc9d83d · outbound

This paper cites Duo and Y.

On a Fractional Schr\"odinger equation in the presence of Harmonic potential Duo and Y

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:12:14.648390Z

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=2026-08-14T13:12:14.449859Z digest=sha256:feede0d7737020d64a849a41d1450e6fcc91c3eab759cfa9e7be72ad9cf99093

Observation 76d6f943-7e6e-42c6-b657-38ed8c67a8a2 · outbound

This paper cites Fibich and X.-P.

On a Fractional Schr\"odinger equation in the presence of Harmonic potential Fibich and X.-P

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:12:14.640136Z

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=2026-08-14T13:12:14.453597Z digest=sha256:2ec401147ed9ffc083b8de69f57dff2578ed73a9e8b0cad65a17ab5c37ae3aa1

Observation 54842615-a1d0-43f4-a5b5-9c06c09619e8 · outbound

This paper cites Hadj Selem, H.

On a Fractional Schr\"odinger equation in the presence of Harmonic potential Hadj Selem, H

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:12:14.630126Z

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=2026-08-14T13:12:14.456261Z digest=sha256:e865b61abe461e053f23dcda0f60177f59093435f114192c85299c57a76c1e65

Observation 561d8f7c-3552-443d-bb3c-a71e6d6628a2 · outbound

This paper cites an unresolved cited work.

On a Fractional Schr\"odinger equation in the presence of Harmonic potential Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:12:14.621278Z

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=2026-08-14T13:12:14.459430Z digest=sha256:7c431be5c8ee1d8028e653633574d3337b51a5e2d1fff4e964ce054630092ebe

Observation 03ba64b8-b9a2-4e62-bd8d-8f23aafef1ad · outbound

This paper cites Hajaiej, P.

On a Fractional Schr\"odinger equation in the presence of Harmonic potential Hajaiej, P

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:12:14.612525Z

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=2026-08-14T13:12:14.462715Z digest=sha256:7bc3a84f2f7f30cc867af746a35ca029838eec8c5b87674fbd85595e9fccadc5

Observation 9eb3e613-466e-4376-9079-9a092a2ca9c7 · outbound

This paper cites Hajaiej, L.

On a Fractional Schr\"odinger equation in the presence of Harmonic potential Hajaiej, L

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:12:14.603748Z

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=2026-08-14T13:12:14.465970Z digest=sha256:b2937221c478268fd2d9c431783266438068bde2e3d12b0264e8fcfd990a2a3a

Observation 705a49d4-d18e-4f55-9954-4b38d7410f5e · outbound

This paper cites Hajaiej and C.

On a Fractional Schr\"odinger equation in the presence of Harmonic potential Hajaiej and C

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:12:14.594597Z

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=2026-08-14T13:12:14.469848Z digest=sha256:bf9a7de77cae1600438819c34cc1d6cf88e96cce5e56dfaa541fec30a297aca1

Observation 4c333a95-b289-4898-907a-71c2f58512c8 · outbound

This paper cites Hajaiej and C.

On a Fractional Schr\"odinger equation in the presence of Harmonic potential Hajaiej and C

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:12:14.585220Z

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=2026-08-14T13:12:14.473052Z digest=sha256:e14ac16d7305b2bfbfcb31833a0934fcaf0f72f151f5c5455e4ea061e22dbe64

Observation c67aea03-d0c7-418c-8c46-331b946b2089 · outbound

This paper cites Klein, C.

On a Fractional Schr\"odinger equation in the presence of Harmonic potential Klein, C

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:12:14.573844Z

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=2026-08-14T13:12:14.476392Z digest=sha256:d03f8033037d85c92e441401da91a08fefa407d31ed2e0d5391d427c16cd89ec

Observation 40b67d59-d959-4a16-a17f-e8d0b83461a3 · outbound

This paper cites Laskin , Fractional quantum mechanics and l´ evy path integrals, Physics Letters A, 268 (2000), pp.

On a Fractional Schr\"odinger equation in the presence of Harmonic potential Laskin , Fractional quantum mechanics and l´ evy path integrals, Physics Letters A, 268 (2000), pp

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:12:14.563271Z

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=2026-08-14T13:12:14.479924Z digest=sha256:73fda9be67a7dcc3ee99e62df3138714cc74795491d562536ef97d1f88b10734

Observation 4b99ab47-b850-4d3d-b8c4-78ce378fe531 · outbound

This paper cites Laskin , Fractional schr¨ odinger equation, Phys.

On a Fractional Schr\"odinger equation in the presence of Harmonic potential Laskin , Fractional schr¨ odinger equation, Phys

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:12:14.552996Z

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=2026-08-14T13:12:14.483435Z digest=sha256:0a3b90462cc4af01df5bb2a8b6bfcd24a5bbb15baa2724d77926962a4c33eca5

Observation 3394a24c-c9be-414c-98a5-067e87ad7bff · outbound

This paper cites Rose and M.

On a Fractional Schr\"odinger equation in the presence of Harmonic potential Rose and M

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:12:14.542839Z

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=2026-08-14T13:12:14.486489Z digest=sha256:80b8db0c3cdd28ab8e0ac77c1bfc92b568f220de08dd84047fd3e935e919c0f3

Observation ca8f9773-024e-411b-b8de-e5926f574031 · outbound

This paper cites Zhang , Stability of standing waves for nonlinear schrdinger equations with unbounded potentials, Zeitschrift fr angewandte Mathematik und Physik, 51 (2000), p.

On a Fractional Schr\"odinger equation in the presence of Harmonic potential Zhang , Stability of standing waves for nonlinear schrdinger equations with unbounded potentials, Zeitschrift fr angewandte Mathematik und Physik, 51 (2000), p

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:12:14.532430Z

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=2026-08-14T13:12:14.489654Z digest=sha256:8f835c25e0fd96158dab2b953db6baf90bbbfb62514e218b71f3cf1e9ed9dce3

Observation 4a690720-a2bf-4231-a0e1-d1cfabfd8663 · outbound

This paper cites an unresolved cited work.

On a Fractional Schr\"odinger equation in the presence of Harmonic potential Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:12:14.520458Z

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=2026-08-14T13:12:14.493932Z digest=sha256:4c52245a11c846b9a3c605e81b535328ced62943525cbb6c494ae3c10ee7770a

Pith citing papers

No inbound Pith citation observations are available.