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Paper Citation Record · LEDGER

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

As of 20 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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:12:14.427660Z digest=sha256:b22f23f5befd53e5aa1372042a60f111281b3350833b5e0c822fcc64ecacde24

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:12:14.431914Z digest=sha256:fc456b0ad6f521274f5ede5d8b50a8acbc18ad5c9d58a8c0c2010b915cf10749

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:12:14.435311Z digest=sha256:e8fe5d1ebf43d3b5b809da9c972e7ef11dd4402245f76f22a8b2ae9c853b0f97

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:12:14.438229Z digest=sha256:70150e052666274ae133bd8c93122f8e956c02181641161ad4a14b42da45a2ad

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:12:14.441997Z digest=sha256:fa1fce48ae9643191cc8c359c5eda4ebbb919d25d2f9fe60e8d7d185d389e8b7

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:12:14.445622Z digest=sha256:dac5cbcfac4ac2cffa3a860df2ae5ec494f78bdcd9d522eb9031a09478499b55

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:12:14.449859Z digest=sha256:a409a5f815a9d8c3a2edd11d8e828ee0a86321eb2e8049aae2fa2d32227e2c91

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:12:14.453597Z digest=sha256:14dbffe9e18c32fd3dcd92a7002c5231852dc29c885804102eb7947ae37c2cff

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:12:14.456261Z digest=sha256:fc26417964727dc196b90722ccd5f55c1a873bf8b1094321b898930d7f6453d6

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:12:14.459430Z digest=sha256:fb0fffb869adcabdaacce1c45e334bfa0b6a6c08c7fac9735d4f4a295c64b6c0

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:12:14.462715Z digest=sha256:8ea900eeb9a5394f16a61242c678a535be0b4e31f9215635f9c3e5116366ab36

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:12:14.465970Z digest=sha256:ab0ef165bc10c9eb6445633c8af426e4110a9dfa8bf601c9c91bba07bee5013a

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:12:14.469848Z digest=sha256:6198d5d713ad5338a036aa52eb26d548eae4043d7f419e391d2af3d0859584be

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:12:14.473052Z digest=sha256:37d444d9cb6097687c59028b2a8f434c093f882f181b624e79fa4b2d0022de3c

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:12:14.476392Z digest=sha256:37591f7295316c353e615f56d6124d62f94ce33527442b5aa0dedf2082031e0e

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:12:14.479924Z digest=sha256:29fa9a3b87b5fc30a2b45b85e08a0eaf95afdea68c95a6224d37b6e79666002a

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:12:14.483435Z digest=sha256:afd91dfcc7f9c8f8ce44909b94accf93143ebfe479488d2adff144b9347fad32

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:12:14.486489Z digest=sha256:33c8a8bba041962d4280b85acec03974f75077224de7f478a11c2eaeb9120dea

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:12:14.489654Z digest=sha256:c9567e5724dde122e44e102d70b935173d66084568638ea54946caa35ba94c21

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:12:14.493932Z digest=sha256:de168f11f136b5824f7997454f47ca07851a551b3554579f196b514068eadd7e

Pith citing papers

No inbound Pith citation observations are available.