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Paper Citation Record · LEDGER

A minimization problem involving a fractional Hardy-Sobolev type inequality

As of 16 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:1908.05095.

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

pith.paper-citation-record.v1
1908.05095 v2

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:30:19.044371Z

measured 19 of 19 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

19 of 19 outbound references displayed

  • verified exact0
  • verified fuzzy13
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 39ec953c-af9e-4051-99db-fe4c8d7b4b3b · outbound

This paper cites an unresolved cited work.

A minimization problem involving a fractional Hardy-Sobolev type inequality Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:30:19.754000Z

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.

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Observation 052313b8-796b-43f8-a660-67172eb3d5a1 · outbound

This paper cites an unresolved cited work.

A minimization problem involving a fractional Hardy-Sobolev type inequality Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:30:19.731290Z

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.

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Observation 262b79bd-6c61-4e00-a229-5dc2bf15c2a8 · outbound

This paper cites Caffarelli, R.

A minimization problem involving a fractional Hardy-Sobolev type inequality Caffarelli, R

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:30:19.709998Z

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.

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Observation 7f3ce27c-e4c5-4cc7-8cd0-d9a6833483bd · outbound

This paper cites Pure Appl.

A minimization problem involving a fractional Hardy-Sobolev type inequality Pure Appl

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:30:19.689890Z

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.

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Observation b3920388-32a8-49b7-8a03-e0b346b5132d · outbound

This paper cites MR 28951788.

A minimization problem involving a fractional Hardy-Sobolev type inequality MR 28951788

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:30:19.669258Z

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=2026-08-14T13:30:18.950958Z digest=sha256:c74aa6e8220df5b0bc71eddfda628174b4eafba95b2f8eaa7f21e41a334365e1

Observation 720d7b6f-2daf-4a94-8000-9a356ecf2ab3 · outbound

This paper cites an unresolved cited work.

A minimization problem involving a fractional Hardy-Sobolev type inequality Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:30:19.640563Z

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=2026-08-14T13:30:18.958265Z digest=sha256:d82f8058550cf549e02acaf134fb8823a041d9952e08c48210a3e3d7a696ca60

Observation a9d5c8a5-630a-4443-9d3d-cb0c4246934f · outbound

This paper cites an unresolved cited work.

A minimization problem involving a fractional Hardy-Sobolev type inequality Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:30:19.607637Z

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=2026-08-14T13:30:18.964664Z digest=sha256:03ef4708dbe887f22fd9e9405f4888c443155b455e9cc92d6365cd1ece41e891

Observation d5a42171-f746-46cf-bc6c-d450592bad55 · outbound

This paper cites V¨ ah¨ akangas, Fractional Hardy–Sobolev type inequalities for half spaces and John domains , Proc.

A minimization problem involving a fractional Hardy-Sobolev type inequality V¨ ah¨ akangas, Fractional Hardy–Sobolev type inequalities for half spaces and John domains , Proc

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:30:19.576024Z

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=2026-08-14T13:30:18.970928Z digest=sha256:00ef81397be84e1ddbc9e53b5da83041bd6637c3762e4ac9e6291edf36cb10de

Observation 24ece88c-6a61-4a6d-a753-c5d64c443cea · outbound

This paper cites Edmunds, Ritva Hurri-Syrj¨ anen, and Antti V.

A minimization problem involving a fractional Hardy-Sobolev type inequality Edmunds, Ritva Hurri-Syrj¨ anen, and Antti V

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:30:19.550569Z

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=2026-08-14T13:30:18.979356Z digest=sha256:7b2e612f35c557373599cf89f8aceb8b8e1740d0cd2af150089652b19453efab

Observation 1fc60a27-64ea-47b8-acbf-38df345f824b · outbound

This paper cites Frank and Robert Seiringer, Non-linear ground state representations and sharp Hardy in equalities, J.

A minimization problem involving a fractional Hardy-Sobolev type inequality Frank and Robert Seiringer, Non-linear ground state representations and sharp Hardy in equalities, J

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:30:19.524088Z

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=2026-08-14T13:30:18.984973Z digest=sha256:d017980136d538f7b65e57939623a3fe104babb8a303105e7eac8a6a4b13dc8a

Observation f24e377e-21f2-4511-905f-1177d8354993 · outbound

This paper cites an unresolved cited work.

A minimization problem involving a fractional Hardy-Sobolev type inequality Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:30:19.499577Z

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=2026-08-14T13:30:18.991338Z digest=sha256:2ff9124d50637a4099ecf525a20a2e00a6feb7904c3fad77408922aecbd4b736

Observation 598692dd-f590-4491-b1cd-fba7807b4def · outbound

This paper cites Ghoussoub and X.

A minimization problem involving a fractional Hardy-Sobolev type inequality Ghoussoub and X

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:30:19.477393Z

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=2026-08-14T13:30:18.996976Z digest=sha256:f4256ff4431af4450beebb2dbf6f75dcbe4157f9464a4c63490ec7ee699d58e4

Observation 40412609-19da-4238-b97c-7586884094b9 · outbound

This paper cites Ghoussoub and F.

A minimization problem involving a fractional Hardy-Sobolev type inequality Ghoussoub and F

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:30:19.444731Z

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=2026-08-14T13:30:19.002058Z digest=sha256:bff42a14b0e1540b386507e845d299ef9bf88342ca0279cfc17a082ae5fbd99f

Observation bcf939c5-1e8f-4375-b928-9c1ec8a9fa73 · outbound

This paper cites Partial Differential Equations 43 (2018), no.

A minimization problem involving a fractional Hardy-Sobolev type inequality Partial Differential Equations 43 (2018), no

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:30:19.408987Z

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=2026-08-14T13:30:19.008796Z digest=sha256:e02c24b7fffa0ee3e4d79a0ecb039ec445fe2c37252db378db488f3a888331ed

Observation 1fe7a3d9-76dd-4222-b41c-ea41b4bf7d62 · outbound

This paper cites 24 (2017), no.

A minimization problem involving a fractional Hardy-Sobolev type inequality 24 (2017), no

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:30:19.385441Z

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=2026-08-14T13:30:19.014029Z digest=sha256:6f4e5b459ae6fd77ba813bf9dcc61fc0d0bcc7a41b9da35b875c5dbd6bd0385c

Observation 6b927fbe-8c01-4ba6-8d27-f753116a418e · outbound

This paper cites Herbst, Spectral theory of the operator (p2 + m2)1/ 2 − Ze 2/r , Comm.

A minimization problem involving a fractional Hardy-Sobolev type inequality Herbst, Spectral theory of the operator (p2 + m2)1/ 2 − Ze 2/r , Comm

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:30:19.362222Z

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=2026-08-14T13:30:19.021835Z digest=sha256:132a640039bbce9182121835d7228aa0cae894fcdf9b5dcb2e06e2794d4d319f

Observation 03673575-ecae-476a-8542-598de73dde01 · outbound

This paper cites an unresolved cited work.

A minimization problem involving a fractional Hardy-Sobolev type inequality Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:30:19.337113Z

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=2026-08-14T13:30:19.029079Z digest=sha256:5bfd7e45517169bbdfed96a8b1478a8f58969cbfd01f05f52396031c7a530fda

Observation dda438cd-f69c-401c-b0e6-f0ae687dc1f7 · outbound

This paper cites Marano and Sunra J.

A minimization problem involving a fractional Hardy-Sobolev type inequality Marano and Sunra J

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:30:19.310584Z

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=2026-08-14T13:30:19.038396Z digest=sha256:7c3836c4be069d5676ea1709050ab820ecd69af542a6abfe48e72bc96663a72d

Observation 5526348f-33d7-46fc-b817-8662086356cd · outbound

This paper cites 119 (2015), 179–185.

A minimization problem involving a fractional Hardy-Sobolev type inequality 119 (2015), 179–185

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:30:19.286544Z

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=2026-08-14T13:30:19.044371Z digest=sha256:e8b9fd4f6d9ceb1fd180d3b3bf23ad9c77c29428a9e8bfaa113cfe80e6eca008

Pith citing papers

No inbound Pith citation observations are available.