Paper Citation Record · LEDGER

Sharp Stability of Global Compactness on the Heisenberg Group

As of 22 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 1 inbound Pith citation observation for arXiv:2506.11404.

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

pith.paper-citation-record.v1
2506.11404 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:28:19.413143Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T20:37:02.934699Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-12T20:37:03.235869Z

Reference resolution

22 of 22 outbound references displayed

verified exact1
verified fuzzy14
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 21e12c95-e886-48c6-9bcc-9b3e95bba13d · outbound

This paper cites Aubin, Équations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire,J.

Sharp Stability of Global Compactness on the Heisenberg Group Aubin, Équations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire,J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:28:23.650326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 53dbb8a8-6d94-47bf-8fef-9c98de65d6ec · outbound

This paper cites Bahri, J.

Sharp Stability of Global Compactness on the Heisenberg Group Bahri, J

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:28:23.502150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 4f11334f-4517-49e3-b334-63107b8c6e7c · outbound

This paper cites Bianchi, H.

Sharp Stability of Global Compactness on the Heisenberg Group Bianchi, H

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:28:23.351807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation dfc6173b-dbe1-4638-a804-0ca3ab35833b · outbound

This paper cites Stability in Gagliardo-Nirenberg-Sobolev inequalities: flows, regularity and the entropy method.

Sharp Stability of Global Compactness on the Heisenberg Group Stability in Gagliardo-Nirenberg-Sobolev inequalities: flows, regularity and the entropy method

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-07T04:28:19.632501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 95fb01cc-3aa9-42f3-8871-77778307a7b9 · outbound

This paper cites Ciraolo, A.

Sharp Stability of Global Compactness on the Heisenberg Group Ciraolo, A

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:28:23.192404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 41b6cffe-24e0-4394-9201-eb90df1fad2b · outbound

This paper cites Citti, F.

Sharp Stability of Global Compactness on the Heisenberg Group Citti, F

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:28:22.923291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 320914d5-83f2-425b-bd4c-f9dccf7daf88 · outbound

This paper cites Cygan, Subadditivity of homogeneous norms on certain nilpotent Lie groups,Proc.

Sharp Stability of Global Compactness on the Heisenberg Group Cygan, Subadditivity of homogeneous norms on certain nilpotent Lie groups,Proc

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:28:22.692056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 1ebb24fd-5e57-4952-bd22-7e193fbc9dda · outbound

This paper cites an unresolved cited work.

Sharp Stability of Global Compactness on the Heisenberg Group Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:28:22.466124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 25a27916-f7a1-4899-8f3e-ecc45da6266e · outbound

This paper cites Figalli, F.

Sharp Stability of Global Compactness on the Heisenberg Group Figalli, F

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:28:22.225708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b335e966-b4ab-4158-bdfa-080f054f3847 · outbound

This paper cites Figalli, R.

Sharp Stability of Global Compactness on the Heisenberg Group Figalli, R

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:28:22.026054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 953eeccc-358d-4a88-bfea-6d068334d74d · outbound

This paper cites J.,171(2022), no.

Sharp Stability of Global Compactness on the Heisenberg Group J.,171(2022), no

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:28:21.827169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 07f18fab-3b54-4de2-a3c7-fe0132d4f9ad · outbound

This paper cites an unresolved cited work.

Sharp Stability of Global Compactness on the Heisenberg Group Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:28:21.646599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e2caeb3e-4376-404a-86b4-eba59c1354c9 · outbound

This paper cites an unresolved cited work.

Sharp Stability of Global Compactness on the Heisenberg Group Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:28:21.468915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a0ef81a7-15ea-4d07-82d4-2a7a1cfb14df · outbound

This paper cites Fusco, F.

Sharp Stability of Global Compactness on the Heisenberg Group Fusco, F

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:28:21.141318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ca3fb946-d19d-4c92-82a3-5a550f51cc6e · outbound

This paper cites an unresolved cited work.

Sharp Stability of Global Compactness on the Heisenberg Group Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:28:20.896451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 767ffc1c-3ded-48c3-81a5-b92fec20437e · outbound

This paper cites On the stability of critical points of the Hardy-Littlewood-Sobolev inequality.

Sharp Stability of Global Compactness on the Heisenberg Group On the stability of critical points of the Hardy-Littlewood-Sobolev inequality

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T04:28:18.854209Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3e945b8e-bfa6-4120-9646-d9f69a0a2f1b · outbound

This paper cites Loiudice, Improved Sobolev inequalities on the Heisenberg group,Nonlinear Anal., 62(2005), no.

Sharp Stability of Global Compactness on the Heisenberg Group Loiudice, Improved Sobolev inequalities on the Heisenberg group,Nonlinear Anal., 62(2005), no

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:28:20.700692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 9c25d074-dd44-451d-b829-318acf62d981 · outbound

This paper cites an unresolved cited work.

Sharp Stability of Global Compactness on the Heisenberg Group Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:28:20.548120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 41970caa-2750-4ce4-97b8-701cb1d1c097 · outbound

This paper cites Struwe, A global compactness result for elliptic boundary value problems involving limiting nonlinearities,Math.

Sharp Stability of Global Compactness on the Heisenberg Group Struwe, A global compactness result for elliptic boundary value problems involving limiting nonlinearities,Math

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:28:20.368562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d71e2a5e-083a-44da-b6eb-5a577919f2f1 · outbound

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

Sharp Stability of Global Compactness on the Heisenberg Group Talenti, Best constant in Sobolev inequality,Ann

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:28:20.207283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 367ffcfd-a6cd-4d97-9df1-8b922254a66e · outbound

This paper cites Tintarev, K.

Sharp Stability of Global Compactness on the Heisenberg Group Tintarev, K

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:28:20.037035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 4b4477ad-f95c-415e-9f6b-696d0aedce15 · outbound

This paper cites an unresolved cited work.

Sharp Stability of Global Compactness on the Heisenberg Group Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:28:19.857518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

Observation 0f0b6cd1-8b55-468a-a0a6-5279f2162fd1 · inbound

Classification of positive entire solutions of the CR Yamabe equation on the Heisenberg group cites this paper.

Classification of positive entire solutions of the CR Yamabe equation on the Heisenberg group Sharp Stability of Global Compactness on the Heisenberg Group

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-12T20:37:03.242946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.