Paper Citation Record · LEDGER

Galerkin Approximation of the Fractional Sobolev Constant

As of 8 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 1 inbound Pith citation observation for arXiv:2605.13347.

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

pith.paper-citation-record.v1
2605.13347 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-14T18:31:59.688192Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-30T19:49:15.568123Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

18 of 18 outbound references displayed

verified exact1
verified fuzzy9
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fc16999c-136f-4713-ad8f-2c367c9a4bf9 · outbound

This paper cites Acosta and J.

Galerkin Approximation of the Fractional Sobolev Constant Acosta and J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T18:32:35.650856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5aa67a09-c44e-4302-b947-0f9e585909b4 · outbound

This paper cites Antonietti and A.

Galerkin Approximation of the Fractional Sobolev Constant Antonietti and A

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T18:32:35.654830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1520088a-1018-4151-8088-efdb811ac98c · outbound

This paper cites an unresolved cited work.

Galerkin Approximation of the Fractional Sobolev Constant Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-05-14T18:32:35.682341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 3ed7a2d9-28bf-45f0-91bc-2c0ebc68f642 · outbound

This paper cites Bianchi and H.

Galerkin Approximation of the Fractional Sobolev Constant Bianchi and H

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T18:32:35.643075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 05302782-2e3a-49ed-aa12-0b24751acb3c · outbound

This paper cites an unresolved cited work.

Galerkin Approximation of the Fractional Sobolev Constant Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-05-14T18:32:35.647011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2fd7f073-2649-4549-99f0-dc1442c2a731 · outbound

This paper cites Caboussat, R.

Galerkin Approximation of the Fractional Sobolev Constant Caboussat, R

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T18:32:35.721377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4cdf6ff1-6b62-4751-896d-116eea32817b · outbound

This paper cites an unresolved cited work.

Galerkin Approximation of the Fractional Sobolev Constant Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-05-14T18:32:35.638765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1b4bb9fa-ff36-46bb-a2e0-01574e51b331 · outbound

This paper cites Di Nezza, G.

Galerkin Approximation of the Fractional Sobolev Constant Di Nezza, G

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T18:32:35.634537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b6c372cc-7316-4d76-925b-0e9719e2c99a · outbound

This paper cites Figalli and Y.

Galerkin Approximation of the Fractional Sobolev Constant Figalli and Y

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T18:32:35.717350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 66279512-4dac-4060-9981-b4d403ad99e6 · outbound

This paper cites Optimal convergence rates for the finite element approximation of the Sobolev constant.

Galerkin Approximation of the Fractional Sobolev Constant Optimal convergence rates for the finite element approximation of the Sobolev constant

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-05-14T18:32:34.294689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 52f274da-194c-4daf-855e-a0a4ccc27780 · outbound

This paper cites an unresolved cited work.

Galerkin Approximation of the Fractional Sobolev Constant Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-05-14T18:32:35.688638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation bb56eccf-ee01-43a7-b319-78cdc425c1f3 · outbound

This paper cites an unresolved cited work.

Galerkin Approximation of the Fractional Sobolev Constant Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-05-14T18:32:35.695191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4743320a-0fba-4a53-a85d-090ed0adacb7 · outbound

This paper cites an unresolved cited work.

Galerkin Approximation of the Fractional Sobolev Constant Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-05-14T18:32:35.701011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 98a6833b-2fc5-481e-83ba-e8a278a20c01 · outbound

This paper cites Leoni.A First Course in Sobolev Spaces: Second Edition.

Galerkin Approximation of the Fractional Sobolev Constant Leoni.A First Course in Sobolev Spaces: Second Edition

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T18:32:35.707497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5f4d4a44-c960-4815-839f-3f19f7cdd65b · outbound

This paper cites Leoni.A First Course in Fractional Sobolev Spaces.

Galerkin Approximation of the Fractional Sobolev Constant Leoni.A First Course in Fractional Sobolev Spaces

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T18:32:35.712633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 62b034b5-fe48-4874-9052-25f512b567a6 · outbound

This paper cites an unresolved cited work.

Galerkin Approximation of the Fractional Sobolev Constant Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-05-14T18:32:35.659640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 41bfdb90-8299-47c2-8330-2e6f819c0f0d · outbound

This paper cites an unresolved cited work.

Galerkin Approximation of the Fractional Sobolev Constant Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-05-14T18:32:35.663903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e19cfd52-b4b6-4455-ae1f-e88eca976876 · outbound

This paper cites Simion Stoilow.

Galerkin Approximation of the Fractional Sobolev Constant Simion Stoilow

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T18:32:35.674982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

Observation 12d83596-b947-46ae-b8bc-fbc7d930c99d · inbound

Galerkin Approximation of the Fractional Hardy Constant cites this paper.

Galerkin Approximation of the Fractional Hardy Constant Galerkin Approximation of the Fractional Sobolev Constant

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-30T19:49:15.568123Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.