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Paper Citation Record · LEDGER

Positive multi-peak solutions for a logarithmic Schrodinger equation

As of 16 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:1908.02970.

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

pith.paper-citation-record.v1
1908.02970 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:39:41.672576Z

measured 29 of 29 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

29 of 29 outbound references displayed

  • verified exact2
  • verified fuzzy22
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f5d236a7-b6f4-45fe-91d2-d7c9413c1409 · outbound

This paper cites Al ves, D.C.

Positive multi-peak solutions for a logarithmic Schrodinger equation Al ves, D.C

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:42.082101Z

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=2026-08-14T14:39:41.551756Z digest=sha256:d100a77bedd24b6a88460e30168ca5491dac18525f6d185367a62f373a5c91b4

Observation 1e5fd4af-814c-42a2-a50d-30a9715c3d50 · outbound

This paper cites Multiple positive solutions for a Schr\"{o}dinger logarithmic equation.

Positive multi-peak solutions for a logarithmic Schrodinger equation Multiple positive solutions for a Schr\"{o}dinger logarithmic equation

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:39:41.729595Z

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=2026-08-14T14:39:41.557317Z digest=sha256:58fea2a9e35d57fd123331dd08b9a98d0647d82cc4f2867a2ed757fb9f8c7d53

Observation f45a5e7e-4760-4778-87c9-7f08f78ed1d1 · outbound

This paper cites Ardila, Orbital stability of Gausson solutions to logarithmic Schr ödinger equations.

Positive multi-peak solutions for a logarithmic Schrodinger equation Ardila, Orbital stability of Gausson solutions to logarithmic Schr ödinger equations

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:42.067501Z

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=2026-08-14T14:39:41.562170Z digest=sha256:8cb97534d758dd4bc095df34dcdf355e7f9e67980d696fcea8fde708438baba5

Observation 64f540fd-3391-4924-ba59-9fbc8185dfca · outbound

This paper cites Ardila, Existence and stability of standing waves for nonlinear fra ctional Schrödinger equation with logarithmic nonlinearity.

Positive multi-peak solutions for a logarithmic Schrodinger equation Ardila, Existence and stability of standing waves for nonlinear fra ctional Schrödinger equation with logarithmic nonlinearity

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:42.054105Z

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=2026-08-14T14:39:41.566587Z digest=sha256:c704ad6fc64c2a01193945db92e905547fb0cc7aa5aa3ae61b02bfded1c86d00

Observation 400fdca6-7fa8-43e2-8605-3db5c774beba · outbound

This paper cites Bahri, Critical Points at Infinity in Some Variational Problems.

Positive multi-peak solutions for a logarithmic Schrodinger equation Bahri, Critical Points at Infinity in Some Variational Problems

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:42.040862Z

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=2026-08-14T14:39:41.571166Z digest=sha256:d6974472bc8d990f357029f2f8201dbfd73721027d0aba5f46c71a9256e8b899

Observation 5398b052-dc54-4f65-b523-a963fb3067ba · outbound

This paper cites Bialynicki-Birula, J.

Positive multi-peak solutions for a logarithmic Schrodinger equation Bialynicki-Birula, J

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:42.028812Z

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=2026-08-14T14:39:41.576001Z digest=sha256:b0a79fe8e16fd42e1cbb9dae25b8c2776e6a0971236d30447bd7441cb9875a60

Observation f22ab3f4-ca1e-41fc-a802-1ba093002fd5 · outbound

This paper cites Buljan, A.

Positive multi-peak solutions for a logarithmic Schrodinger equation Buljan, A

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:42.015870Z

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=2026-08-14T14:39:41.580369Z digest=sha256:766cb577b382cb673f5a949a927638d02c3417dae6524d7c4a0a4df5af031bfd

Observation 7007bcdd-f3c0-4ae5-8c47-dc09f70969ce · outbound

This paper cites an unresolved cited work.

Positive multi-peak solutions for a logarithmic Schrodinger equation Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:39:42.002228Z

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=2026-08-14T14:39:41.584993Z digest=sha256:451c260d65fb267e199af9cd27425c51a3d8b17bb481e068ec080f6e4812cf23

Observation 3cde5d5e-5204-470e-89dd-aaad38298bdc · outbound

This paper cites Cao, E.S.

Positive multi-peak solutions for a logarithmic Schrodinger equation Cao, E.S

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:41.989527Z

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=2026-08-14T14:39:41.589090Z digest=sha256:7a4a97e9e2807b529efc3d71627e71c8caf1466dbea011e9bf8fc3d6327bc0dc

Observation d750c84e-5cf3-4d43-a839-abe696d6ce8a · outbound

This paper cites an unresolved cited work.

Positive multi-peak solutions for a logarithmic Schrodinger equation Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:39:41.976715Z

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=2026-08-14T14:39:41.593119Z digest=sha256:173e01d3fface2d16cfd744873da5e72b4f6b7a5e6af073db326411577b87978

Observation ccf911f9-d14f-4ad7-ae23-f6d7819db432 · outbound

This paper cites Cazena ve, Stable solutions of the logarithmic Schrödinger equation.

Positive multi-peak solutions for a logarithmic Schrodinger equation Cazena ve, Stable solutions of the logarithmic Schrödinger equation

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:41.963856Z

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=2026-08-14T14:39:41.597289Z digest=sha256:65528f1088280fece78099b4a39702d3b4c04f12418dc60021ee4dda4af1e9e0

Observation e64582e4-6a52-46d4-8b03-1ab3c6cf6bf5 · outbound

This paper cites Cazena ve, A.

Positive multi-peak solutions for a logarithmic Schrodinger equation Cazena ve, A

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:41.951081Z

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=2026-08-14T14:39:41.601484Z digest=sha256:682c3b22f2099a5f00cf9b06cce3fa1efa0b236fb0ecbaa4f1c269335c84e7eb

Observation c64c4af4-a285-4fec-8a6a-d2382bce9633 · outbound

This paper cites Cazena ve, P.L.

Positive multi-peak solutions for a logarithmic Schrodinger equation Cazena ve, P.L

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:41.938726Z

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=2026-08-14T14:39:41.605680Z digest=sha256:5b06b99039f4532c11402208207d17e252d44feae36d4967f09e60557515c947

Observation 44f4e306-c11e-474f-8e67-091da403c0d9 · outbound

This paper cites d’A venia, E.

Positive multi-peak solutions for a logarithmic Schrodinger equation d’A venia, E

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:41.926370Z

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=2026-08-14T14:39:41.609669Z digest=sha256:6894362f95dd4b11998380da3c6b2c0b1cfb72f230e43c38a5036bab804cd86e

Observation 9f5059a7-e5aa-4eab-bdaa-609c95050ea6 · outbound

This paper cites d’A venia, M.

Positive multi-peak solutions for a logarithmic Schrodinger equation d’A venia, M

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:41.913193Z

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=2026-08-14T14:39:41.613783Z digest=sha256:ae81664f79835b7ffc2f9c2a104f003d4178f79bc5cbb75b3a5edd913543a57c

Observation 04acb3ee-31c5-4b21-ab36-be001d570c02 · outbound

This paper cites De Mar tino, M.

Positive multi-peak solutions for a logarithmic Schrodinger equation De Mar tino, M

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:41.900568Z

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=2026-08-14T14:39:41.617789Z digest=sha256:735cc60d40c85fef4ee5cc9001b03caa5760ad0e44764a171ee42c01db02c183

Observation 8ce88955-6d92-4e20-abb7-7ffe123ded63 · outbound

This paper cites Guerrero, J.L.

Positive multi-peak solutions for a logarithmic Schrodinger equation Guerrero, J.L

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:41.887967Z

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=2026-08-14T14:39:41.622023Z digest=sha256:1d00cbac467a1f205b91820fcbd266c0eba66177a7b45d2f119f5f7c37a1e648

Observation ca362908-613e-4d2c-b31f-852b1d603dfc · outbound

This paper cites Hefter, Application of the nonlinear Schrödinger equation with a lo garithmic inhomogeneous term to nuclear physics.

Positive multi-peak solutions for a logarithmic Schrodinger equation Hefter, Application of the nonlinear Schrödinger equation with a lo garithmic inhomogeneous term to nuclear physics

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:41.875431Z

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=2026-08-14T14:39:41.625549Z digest=sha256:faa390e023e11256cd8633c2614a20a4957e9fcb0ecca723395e583f45467cfc

Observation 5a5f565b-ab26-490a-917b-3d755517d14b · outbound

This paper cites Uniqueness of positive solutions with Concentration for the Schr\"odinger-Newton problem.

Positive multi-peak solutions for a logarithmic Schrodinger equation Uniqueness of positive solutions with Concentration for the Schr\"odinger-Newton problem

Reference 19

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:39:41.710340Z

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=2026-08-14T14:39:41.629382Z digest=sha256:867eb348650251cd1022ebadfedc5761fb73bce99fe730a2bb162190382e5b3c

Observation 53cf0e82-c388-4f71-ba04-6e7d22972eb1 · outbound

This paper cites an unresolved cited work.

Positive multi-peak solutions for a logarithmic Schrodinger equation Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:39:41.861260Z

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=2026-08-14T14:39:41.634399Z digest=sha256:e963e8a0efe630de91e44946ac23468c9457e98ee6ea483cac0155ad2105c4ea

Observation f4c34057-7109-4412-9880-9e85dde79a75 · outbound

This paper cites an unresolved cited work.

Positive multi-peak solutions for a logarithmic Schrodinger equation Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:39:41.848329Z

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=2026-08-14T14:39:41.638519Z digest=sha256:275363efb99577133a2c4b54e4ba2bcc5e19ff4710eed9d596495718e32b36ff

Observation 7753f497-3e67-4203-9b40-841eb8c1ed40 · outbound

This paper cites an unresolved cited work.

Positive multi-peak solutions for a logarithmic Schrodinger equation Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:39:41.835610Z

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=2026-08-14T14:39:41.642485Z digest=sha256:909b342d38fab2f91c3588a82d0fc7a0cf6b371aba984b3eabe1817144475e94

Observation c8d50c6b-61ab-46c5-ad95-43266b1d232a · outbound

This paper cites Shuai, Multiple solutions for logarithmic Schrödinger equations.

Positive multi-peak solutions for a logarithmic Schrodinger equation Shuai, Multiple solutions for logarithmic Schrödinger equations

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:41.822782Z

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=2026-08-14T14:39:41.647514Z digest=sha256:49275df6be356fa6695828fd11815fdea1d23399b5bfecf2d1c7a00862e108b9

Observation e3580e64-68c5-4005-ab8a-eb8ecdef7e14 · outbound

This paper cites Squassina, A.

Positive multi-peak solutions for a logarithmic Schrodinger equation Squassina, A

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:41.809532Z

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=2026-08-14T14:39:41.651771Z digest=sha256:3407538296f3b60fc6ff17aebc44837fb615daf9e234f8a74fab94d26a21cd29

Observation f02b803d-fb3e-4f75-9695-77f0ec6253dd · outbound

This paper cites Squassina, A.

Positive multi-peak solutions for a logarithmic Schrodinger equation Squassina, A

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:41.796324Z

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=2026-08-14T14:39:41.655876Z digest=sha256:3de9c9f7fa1e4f3781f2f23387bc5acee8f05e164d1873fec8fb59ee76551131

Observation 04d79ac5-2ee2-4d42-aaba-770fd253232b · outbound

This paper cites Szulkin, Minimax principles for lower semicontinuous functions and applications to nonlinear boundary value problems.

Positive multi-peak solutions for a logarithmic Schrodinger equation Szulkin, Minimax principles for lower semicontinuous functions and applications to nonlinear boundary value problems

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:41.782449Z

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=2026-08-14T14:39:41.660028Z digest=sha256:5ffb714c4a287903e88adba71b4c57ee8eeef5eb8678fb64187d02ba1fe3e68f

Observation b9227fc9-9fce-4eee-b9e0-716710aec85b · outbound

This paper cites Tanaka, C.

Positive multi-peak solutions for a logarithmic Schrodinger equation Tanaka, C

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:41.768668Z

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=2026-08-14T14:39:41.664263Z digest=sha256:989a95ddf55c070fdad514b960c012b0546b73ac7eea63d697a37522b4f2217d

Observation 8b781639-011b-4331-8307-f7a3a2e8d483 · outbound

This paper cites Zloshchastiev, Logarithmic nonlinearity in theories of quantum gravity: O rigin of time and observational consequences.

Positive multi-peak solutions for a logarithmic Schrodinger equation Zloshchastiev, Logarithmic nonlinearity in theories of quantum gravity: O rigin of time and observational consequences

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:41.755472Z

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=2026-08-14T14:39:41.668339Z digest=sha256:44e29410702dcdc65987e54207dbbf52bcbf9f66198d05430cda19aa4782b00a

Observation 7954cddc-d1ce-42c5-808d-7ea5e4d694e6 · outbound

This paper cites Zloshchastiev, pontaneous symmetry breaking and mass generation as built- in phenomena in logarithmic nonlinear quantum theory.

Positive multi-peak solutions for a logarithmic Schrodinger equation Zloshchastiev, pontaneous symmetry breaking and mass generation as built- in phenomena in logarithmic nonlinear quantum theory

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:41.742223Z

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=2026-08-14T14:39:41.672576Z digest=sha256:49abc56506dfd62ffce2974a355893b3ae46613f64d76676e3236b330d466452

Pith citing papers

No inbound Pith citation observations are available.