Paper Citation Record · LEDGER

Normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities

As of 15 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 2 inbound Pith citation observations for arXiv:2505.15100.

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

pith.paper-citation-record.v1
2505.15100 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:34:15.988253Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-13T04:01:12.813655Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-06-30T02:54:11.413287Z

Reference resolution

35 of 35 outbound references displayed

verified exact2
verified fuzzy29
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1cbfa458-b6c1-4b74-8d0c-214c6105ee2d · outbound

This paper cites Ackermann, A nonlinear superposition principle and multibump solutions of periodic Schr¨ odinger equations, J.

Normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities Ackermann, A nonlinear superposition principle and multibump solutions of periodic Schr¨ odinger equations, J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:34:24.438867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation af437a5c-39d0-4c9e-be9e-a90241a0331c · outbound

This paper cites Adami, C.

Normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities Adami, C

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:34:24.308193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d06d5a9d-9946-41e3-80bf-720cc55d3cf7 · outbound

This paper cites Adami, C.

Normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities Adami, C

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:34:24.183403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b2f16f1f-357a-477c-b162-80d2bcd2250d · outbound

This paper cites Adami, E.

Normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities Adami, E

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:34:24.049791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c3cb6764-0b51-4b24-8214-082fadfc7d68 · outbound

This paper cites Adami, E.

Normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities Adami, E

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:34:23.859834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b6d7852d-2496-4220-b8ec-63dd3a088443 · outbound

This paper cites Adami, E.

Normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities Adami, E

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:34:23.554273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 150df4d0-1704-47d8-a6fa-761514d03a8f · outbound

This paper cites Adami, E.

Normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities Adami, E

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:34:23.308190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 69d6de49-1d37-42a0-a8d9-817e920909cc · outbound

This paper cites Berkolaiko, P.

Normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities Berkolaiko, P

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:34:23.065389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 359a5d85-fae0-4140-b89b-d20495ba04c4 · outbound

This paper cites Bondy, U.S.R.

Normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities Bondy, U.S.R

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:34:22.858974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 39167929-e8fd-44d4-ba64-8cd8f7df0fbc · outbound

This paper cites Borrelli, R.

Normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities Borrelli, R

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:34:22.567096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f2f7e526-e804-4a20-9612-b0b678995d3a · outbound

This paper cites Borrelli, R.

Normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities Borrelli, R

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:34:22.384972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f482ccb6-8255-4966-a810-fe6b66554bfd · outbound

This paper cites Borthwick, X.

Normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities Borthwick, X

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:34:22.126065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 9b246159-7466-4773-aec2-54aa727ea713 · outbound

This paper cites Brezis, Functional analysis, Sobolev spaces and partial differential equations, Universitext, pp.

Normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities Brezis, Functional analysis, Sobolev spaces and partial differential equations, Universitext, pp

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:34:21.864533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 9a025c2a-22d3-4fea-911c-b315ae07ae2f · outbound

This paper cites Brezis, P.

Normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities Brezis, P

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:34:21.648012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e43b7966-1d16-426a-a975-03cc05a9d690 · outbound

This paper cites Buffoni, M.

Normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities Buffoni, M

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:34:21.345818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e0b4dd28-cc52-47e0-b316-afe5272e748f · outbound

This paper cites Infinitely many normalized solutions of $L^2$-supercritical NLS equations on noncompact metric graphs with localized nonlinearities.

Normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities Infinitely many normalized solutions of $L^2$-supercritical NLS equations on noncompact metric graphs with localized nonlinearities

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-07T15:34:16.670504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3e4c2292-4832-4db2-9ce7-3e5c3aed049a · outbound

This paper cites Chang, L.

Normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities Chang, L

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:34:21.083617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 9d076b32-e65c-46cc-964a-08649c0078b0 · outbound

This paper cites an unresolved cited work.

Normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:34:20.837217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 80d731fc-51ee-4b18-8b39-dd688f58abfe · outbound

This paper cites an unresolved cited work.

Normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:34:20.627408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a528f909-2795-43d3-b2f3-a49c5e6c3c96 · outbound

This paper cites Dovetta, Existence of infinitely many stationary solutions of theL 2-subcritical and critical NLSE on compact metric graphs, J.

Normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities Dovetta, Existence of infinitely many stationary solutions of theL 2-subcritical and critical NLSE on compact metric graphs, J

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:34:20.438959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 805cade6-4b3e-488b-9483-dac3ba47c1ce · outbound

This paper cites Normalized solutions of $L^2$-supercritical NLS equations on noncompact metric graphs.

Normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities Normalized solutions of $L^2$-supercritical NLS equations on noncompact metric graphs

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-07T15:34:16.406478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 9709fa75-4f21-4b53-b1ab-0657570683f5 · outbound

This paper cites Dovetta, E.

Normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities Dovetta, E

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:34:20.226650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d2a722e8-771a-4e34-a7a4-f16f18fe9e9a · outbound

This paper cites Dovetta, L.

Normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities Dovetta, L

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:34:19.999461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e500336a-034a-4a98-bff7-aff0716877f6 · outbound

This paper cites Gnutzmann, U.

Normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities Gnutzmann, U

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:34:19.793265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c0d0354f-0ab6-4229-8d04-e3a210411d5d · outbound

This paper cites Grigor’yan, Introduction to analysis on graphs, University Lecture Series, 71.

Normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities Grigor’yan, Introduction to analysis on graphs, University Lecture Series, 71

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:34:19.622148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d3e68f20-7547-4366-891f-7c2791ea52f3 · outbound

This paper cites Haddad, L.D.

Normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities Haddad, L.D

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:34:19.288015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 447dcfa9-84ff-4842-9004-ae374060b2b8 · outbound

This paper cites Jeanjean, L.

Normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities Jeanjean, L

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-07T15:34:14.331080Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 24446600-ae6e-4f32-8fc6-a6a51d471200 · outbound

This paper cites Noja, Nonlinear Schr¨ odinger equation on graphs: Recent results and open problems, Philos.

Normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities Noja, Nonlinear Schr¨ odinger equation on graphs: Recent results and open problems, Philos

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:34:18.916264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 18d56a4b-0e14-400f-87f4-e3bafaad97ee · outbound

This paper cites Perko, Differential equations and dynamical systems, Third edition, Texts Appl.

Normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities Perko, Differential equations and dynamical systems, Third edition, Texts Appl

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:34:18.641659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f7cbe413-c7fa-49c2-85bc-cff1cf672733 · outbound

This paper cites Pierotti, N.

Normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities Pierotti, N

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:34:18.227356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation df34fa25-8cfe-467a-a30b-831fe9878983 · outbound

This paper cites Sabirov, D.B.

Normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities Sabirov, D.B

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:34:18.036030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation af191e1a-6309-4110-8b08-f8ef534e209b · outbound

This paper cites Serra, L.

Normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities Serra, L

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:34:17.768223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7b62010c-1f85-4917-9eb8-68e304dd4b06 · outbound

This paper cites Serra, L.

Normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities Serra, L

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:34:17.556674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d794960e-703a-4e4b-b55f-6da55731f6b1 · outbound

This paper cites Tentarelli, NLS ground states on metric graphs with localized nonlinearities, J.

Normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities Tentarelli, NLS ground states on metric graphs with localized nonlinearities, J

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:34:17.253276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c13c4821-8503-4337-acc6-19a8b0d0fedb · outbound

This paper cites an unresolved cited work.

Normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:34:16.933091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

Observation 93a16a63-f4e6-4ade-ad6a-ac48b0547d67 · inbound

Multiplicity and Nonrelativistic limit of Bound States of Nonlinear Dirac Equations on Noncompact Metric Graphs with Localized Nonlinearities cites this paper.

Multiplicity and Nonrelativistic limit of Bound States of Nonlinear Dirac Equations on Noncompact Metric Graphs with Localized Nonlinearities Normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-06-30T02:54:11.414980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e882e3a6-07e8-4de4-9698-179c7861cede · inbound

Local well-posedness for nonlinear Dirac equation on $N$-star metric graphs cites this paper.

Local well-posedness for nonlinear Dirac equation on $N$-star metric graphs Normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-13T04:01:12.813655Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.