Paper Citation Record · LEDGER

Gelfand-Levitan condition for Dirac operators

As of 18 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2508.09002.

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

pith.paper-citation-record.v1
2508.09002 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:32:45.614087Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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 exact1
verified fuzzy7
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5eb7ea42-44a5-40fd-bb4a-bd9a48298281 · outbound

This paper cites an unresolved cited work.

Gelfand-Levitan condition for Dirac operators Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:32:45.929401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b561d45f-5984-41cd-b2b3-0e9e60bd5a3c · outbound

This paper cites an unresolved cited work.

Gelfand-Levitan condition for Dirac operators Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:32:45.911293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d2bb41bc-d900-4682-b5ba-88326d462d75 · outbound

This paper cites an unresolved cited work.

Gelfand-Levitan condition for Dirac operators Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:32:45.898570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 59d8d92d-feaa-45b0-9ac0-dcc4c620cdb5 · outbound

This paper cites de Branges, SOME HILBERT SPACES OF ENTIRE FUNCTIONS.

Gelfand-Levitan condition for Dirac operators de Branges, SOME HILBERT SPACES OF ENTIRE FUNCTIONS

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:32:45.886595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3ddad101-4677-4a15-9424-5e7d8b1baa84 · outbound

This paper cites de Branges, SOME HILBERT SPACES OF ENTIRE FUNCTIONS.

Gelfand-Levitan condition for Dirac operators de Branges, SOME HILBERT SPACES OF ENTIRE FUNCTIONS

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:32:45.873916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f50a8c76-14b9-490f-809b-ea9f04b2fb7d · outbound

This paper cites de Branges, SOME HILBERT SPACES OF ENTIRE FUNCTIONS.

Gelfand-Levitan condition for Dirac operators de Branges, SOME HILBERT SPACES OF ENTIRE FUNCTIONS

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:32:45.860060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 14e5c356-4483-4fda-803d-670ee4810423 · outbound

This paper cites de Branges, SOME HILBERT SPACES OF ENTIRE FUNCTIONS.

Gelfand-Levitan condition for Dirac operators de Branges, SOME HILBERT SPACES OF ENTIRE FUNCTIONS

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:32:45.846914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7371bc87-5fdc-4d56-9cbb-6d6844f679b8 · outbound

This paper cites an unresolved cited work.

Gelfand-Levitan condition for Dirac operators Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:32:45.832907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1d62488a-733e-4a65-93fe-ef1ebe3871a7 · outbound

This paper cites Reflectionless Dirac operators and canonical systems.

Gelfand-Levitan condition for Dirac operators Reflectionless Dirac operators and canonical systems

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-15T17:32:45.567665Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8030e909-5318-432b-8df2-f52d6d613f70 · outbound

This paper cites Direct and inverse spectral continuity for Dirac operators.

Gelfand-Levitan condition for Dirac operators Direct and inverse spectral continuity for Dirac operators

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:32:45.663890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3aea3c1f-5b98-4e98-a77b-9a5c5f0d229b · outbound

This paper cites an unresolved cited work.

Gelfand-Levitan condition for Dirac operators Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:32:45.819589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation aa7e6545-532b-4c8a-bbd5-1654c18c055e · outbound

This paper cites Zeng, Spectral theory of Dirac operators with measures, PhD thesis, University of Oklahoma, Norman, 2023.

Gelfand-Levitan condition for Dirac operators Zeng, Spectral theory of Dirac operators with measures, PhD thesis, University of Oklahoma, Norman, 2023

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:32:45.806336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4edafc61-c58d-4e76-b41f-d9c4e31a6ffc · outbound

This paper cites an unresolved cited work.

Gelfand-Levitan condition for Dirac operators Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:32:45.792893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e55e32ba-559c-47f5-8878-b055ef80f6a6 · outbound

This paper cites an unresolved cited work.

Gelfand-Levitan condition for Dirac operators Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:32:45.779479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ad75100e-8b20-4dbe-8d23-3825c173516f · outbound

This paper cites an unresolved cited work.

Gelfand-Levitan condition for Dirac operators Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:32:45.765641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b39bc61a-c983-4608-ae5d-7ee3dc8da375 · outbound

This paper cites an unresolved cited work.

Gelfand-Levitan condition for Dirac operators Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:32:45.750932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 852f8acc-306b-4e5a-b938-83c8b56e96de · outbound

This paper cites 120(2013), 151-224.

Gelfand-Levitan condition for Dirac operators 120(2013), 151-224

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:32:45.738053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e0790658-f178-478d-8930-43ada3e52674 · outbound

This paper cites an unresolved cited work.

Gelfand-Levitan condition for Dirac operators Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:32:45.723937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 67c39da8-4260-40f7-a5e9-2406deb3b559 · outbound

This paper cites Fundamental formalism.

Gelfand-Levitan condition for Dirac operators Fundamental formalism

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:32:45.710349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation dc878112-eb50-4ced-83b4-d13f4701f071 · outbound

This paper cites an unresolved cited work.

Gelfand-Levitan condition for Dirac operators Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:32:45.696145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

No inbound Pith citation observations are available.