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Paper Citation Record · LEDGER

Sharp Stability of Global Compactness on the Heisenberg Group

As of 12 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations 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 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:28:17.780936Z digest=sha256:d19d73beb67c4cc8d77c6e83dbc3410d08e4296a38b2df7f6b687a10344100f3

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:28:17.841834Z digest=sha256:76303a26e2041dff1469835ed59497d51e6b40fe9c95cf1be22e8bf6f3a2d0d0

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:28:17.887386Z digest=sha256:0ee7da1e48ed794d6e96167c421a1b59fd5077eb49c04ef50780a707a2cf9bcc

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:28:17.977603Z digest=sha256:3fc0136e574b660b2a0ce83ad9547ffe2e341905d0bf102daa58083f2b109230

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:28:18.025715Z digest=sha256:d5dab0c1fece2762c5fad17cb1f6eb075c7e352df4132e53b6c8cc296d2b786c

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:28:18.110809Z digest=sha256:a121a58cb99167f86ea8e2564185b99e8412f3322b9674d1dd3a02b59225bfca

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:28:18.178905Z digest=sha256:ab1449cf1543acc32e6e3fc5868b4e46e6783cda05798fa714f3b98dcf77ffb6

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:28:18.234613Z digest=sha256:58349b6c72d138b84f63c8c53f6dc2e2df087fcc1560e1b12b99460ccc4049b1

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:28:18.303697Z digest=sha256:a67da336333760f5d9c72863e4df0a9a68afffe88f153ff220c8f174418c97f3

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:28:18.374585Z digest=sha256:f4728efcd21b39f390c40212399e615ea2e183a351f3b9b26a34e02b0058c533

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:28:18.449713Z digest=sha256:6abc0409e856c848ca3e720ea379fc3c6f381f17b8241706b496e671ab4789c1

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:28:18.523889Z digest=sha256:e62c96ca25bce838c14b403739f7b621fb050190a47c37d2b1656a2cc67558bd

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:28:18.593872Z digest=sha256:27df08a0b16980f055f483014110ac492c61104e9d64c8eb1137dbd6a45b7553

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:28:18.676518Z digest=sha256:706d6c7daa3e93710bcba495e7978772d4911fd2ffec50e67d95148ec71a7486

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:28:18.767731Z digest=sha256:30f63905f3f47da0320cb2cd06adc9ce28d161f05f220b94d4833de14bd04fe4

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.

source=pdf_text observed=2026-08-07T04:28:18.854209Z digest=sha256:2cf328a287c79b254fd5634bde37c184311c87a528ec40808e7b6d04ca389f90

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:28:18.921722Z digest=sha256:ab3a09e13b5dcb3199a3f263d853ed14a21c2f1ea90e5f9a04c32cbce8562a76

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:28:19.015618Z digest=sha256:7928d9d46fbbc6df4f7b07df6dd0d5a365220abd7c39c46cc69a39b5ae9f174d

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:28:19.113458Z digest=sha256:2777ac91406a8d8c9289e66068a6fc44a3d399d852eaf56e9a394e9274a0e065

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:28:19.230845Z digest=sha256:026704625c015a32ece3fa6f1ad71d5ba926bff79aeb2b473e3f7f79a9995485

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:28:19.300180Z digest=sha256:8c0ae4239d955e099d5920f4f6db69ab97b39ad9358ba85b2aac52e800b969be

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:28:19.413143Z digest=sha256:2ed5cc590a54fdb6f96c0670412ec38d9a3f1698e84a85d5858679a6cd8f8c5b

Pith citing papers

No inbound Pith citation observations are available.