Pith. sign in

Paper Citation Record · LEDGER

On a Sobolev critical problem for the superposition of a local and nonlocal operator with the "wrong sign''

As of 7 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 1 inbound Pith citation observation for arXiv:2601.07521.

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

pith.paper-citation-record.v1
2601.07521 v2

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T11:17:13.168194Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-19T15:51:16.796344Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-19T15:52:38.016582Z

Reference resolution

11 of 11 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8db8e335-34cb-4b76-8100-e2c35d4f403a · outbound

This paper cites Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation.

On a Sobolev critical problem for the superposition of a local and nonlocal operator with the "wrong sign'' Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-03T11:17:12.089698Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T11:17:12.089698Z digest=sha256:6bc86230d50c85d321692705cdca9234a033cb343d85ab79f99a4d8ab1655b97

Observation 533ca1f3-6bc8-494e-adcd-f51107815b22 · outbound

This paper cites Biagi, S.

On a Sobolev critical problem for the superposition of a local and nonlocal operator with the "wrong sign'' Biagi, S

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-03T11:17:12.186993Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T11:17:12.186993Z digest=sha256:8ceb4eca7edd6024b82be60d00bb6a88485d5dcb69d0c6a16036b98c15f62665

Observation b99d921b-e10f-4a98-86b4-a13f306d6a62 · outbound

This paper cites Biagi, E.

On a Sobolev critical problem for the superposition of a local and nonlocal operator with the "wrong sign'' Biagi, E

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-03T11:17:12.274470Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T11:17:12.274470Z digest=sha256:69d05e6f9573b9e9170ed5365bf134862db399177c2b3c26c8f220a5da51275e

Observation 0284deb6-4890-4a71-94b6-d59eb600b92d · outbound

This paper cites Biagi, E.

On a Sobolev critical problem for the superposition of a local and nonlocal operator with the "wrong sign'' Biagi, E

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-03T11:17:12.425688Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T11:17:12.425688Z digest=sha256:5070ad1db2d6b1644443de2727ba092cd5b9307e0a02f584b40219afdbd657aa

Observation d254bea4-c867-4eeb-9678-fc706ca1dd41 · outbound

This paper cites Brezis, E.

On a Sobolev critical problem for the superposition of a local and nonlocal operator with the "wrong sign'' Brezis, E

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-03T11:17:12.515840Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T11:17:12.515840Z digest=sha256:8ea246fedc5c3104c5dfe49c12019ee50896c0b1fe5d09bf17b50ac62d6b0ca7

Observation f895d576-85a2-412b-ac83-ba2ed9fcafdd · outbound

This paper cites Brezis, L.

On a Sobolev critical problem for the superposition of a local and nonlocal operator with the "wrong sign'' Brezis, L

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-03T11:17:12.649993Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T11:17:12.649993Z digest=sha256:01745a77c82ef779ff26418354f3b1072e26804f03a4b2a4dbda3481cd09dfc7

Observation cb3f808a-4515-4049-a95e-44a8824e040b · outbound

This paper cites da Silva, A.

On a Sobolev critical problem for the superposition of a local and nonlocal operator with the "wrong sign'' da Silva, A

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-03T11:17:12.756375Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T11:17:12.756375Z digest=sha256:77f9090140f56bebc6e8e794d16b4bf9427057b56ebbccf6d6c0c17b977f46c2

Observation 8f8118ab-1116-4796-9ddd-86fcc097f7a0 · outbound

This paper cites Di Nezza, G.

On a Sobolev critical problem for the superposition of a local and nonlocal operator with the "wrong sign'' Di Nezza, G

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-03T11:17:12.904075Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T11:17:12.904075Z digest=sha256:986b6337c1a6ac9cdb732d301b3132da316eba5bad9a1d7dc3877cd802b808cb

Observation 2b7c3ca5-2940-4c85-8c2c-26a92ef200f6 · outbound

This paper cites Optimal embedding results for fractional Sobolev spaces.

On a Sobolev critical problem for the superposition of a local and nonlocal operator with the "wrong sign'' Optimal embedding results for fractional Sobolev spaces

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-03T11:17:13.038668Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T11:17:13.038668Z digest=sha256:2798bf3cabc7dde92199d7c9386f11428c30be114f2a2b331f7e6f12d58da9eb

Observation ea0afde1-5d05-49f0-bb3c-2177f8c4afde · outbound

This paper cites Servadei, E.

On a Sobolev critical problem for the superposition of a local and nonlocal operator with the "wrong sign'' Servadei, E

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-03T11:17:13.111551Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T11:17:13.111551Z digest=sha256:249fb5e03c1860a12f835f302c68f1d100e09de4e0754b0100f6791ee7ad370c

Observation 2d56d1b4-6bfb-4133-87d9-28331d8766c9 · outbound

This paper cites Talenti,Best constant in Sobolev inequality, Ann.

On a Sobolev critical problem for the superposition of a local and nonlocal operator with the "wrong sign'' Talenti,Best constant in Sobolev inequality, Ann

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-03T11:17:13.168194Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T11:17:13.168194Z digest=sha256:24307bdce46e10fe942647de347cc532358fb7cab93022a7d1d25fd8cc2b9cbd

Pith citing papers

Observation 7d98c942-e2fa-4ede-9322-191a6d23d51d · inbound

Regularity of superposition operators of mixed fractional order cites this paper.

Regularity of superposition operators of mixed fractional order On a Sobolev critical problem for the superposition of a local and nonlocal operator with the "wrong sign''

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-07-28T03:23:24.239126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-19T15:51:16.796344Z digest=sha256:78025066f090a97ae73cb68c7dcb7566667350eda72326fd85101f312fb1cbbc