Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-09T22:42:51.044093Z
Paper Citation Record · LEDGER
A sharp isoperimetric inequality and the top order $Q$-curvature
As of 9 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 2 inbound Pith citation observations for arXiv:2607.06951.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-01T15:54:27.304751Z
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
45 of 45 outbound references displayed
- verified exact3
- verified fuzzy37
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 72d975ff-302f-4462-93d8-82ca9ca1e029 · outbound
This paper cites Agostiniani, M.
A sharp isoperimetric inequality and the top order $Q$-curvature Agostiniani, M
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T22:46:35.999154Z
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 1499cd08-ae5e-417a-a083-309d15be59be · outbound
This paper cites Balogh, A.
A sharp isoperimetric inequality and the top order $Q$-curvature Balogh, A
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T22:46:36.048323Z
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 76bd6be9-eb54-4fde-9128-12e40d071081 · outbound
This paper cites Beckenbach, T.
A sharp isoperimetric inequality and the top order $Q$-curvature Beckenbach, T
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T22:46:36.002684Z
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 4fd0f8a9-bcc6-4dc4-84dd-ecc89c80447d · outbound
This paper cites Benjamini, J.
A sharp isoperimetric inequality and the top order $Q$-curvature Benjamini, J
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T22:46:36.044488Z
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 d7ef2910-5296-41d1-9ade-aa970616fa03 · outbound
This paper cites Besse, Einstein manifolds, Ergeb.
A sharp isoperimetric inequality and the top order $Q$-curvature Besse, Einstein manifolds, Ergeb
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T22:46:36.052089Z
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 a91c5f43-7397-45e8-b564-ad6b8949befb · outbound
This paper cites ISBN:3-540-15279-2.
A sharp isoperimetric inequality and the top order $Q$-curvature ISBN:3-540-15279-2
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T22:46:36.038818Z
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 b5b93d5c-1516-4627-82c5-bd4be9d12769 · outbound
This paper cites an unresolved cited work.
A sharp isoperimetric inequality and the top order $Q$-curvature Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-07-09T22:46:36.004696Z
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 9d921e49-df7a-438a-aa00-4b5d92e1d984 · outbound
This paper cites Brendle, Sobolev inequalities in manifolds with nonnegative curvature, Comm.
A sharp isoperimetric inequality and the top order $Q$-curvature Brendle, Sobolev inequalities in manifolds with nonnegative curvature, Comm
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T22:46:36.061729Z
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 af1a9c83-8e69-4249-95fd-2f0250ae9fa7 · outbound
This paper cites Bol, Isoperimetrische Ungleichungen f¨ ur Bereiche auf Fl¨ achen, Jber.
A sharp isoperimetric inequality and the top order $Q$-curvature Bol, Isoperimetrische Ungleichungen f¨ ur Bereiche auf Fl¨ achen, Jber
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T22:46:36.046411Z
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 8f42785f-0816-4edc-b5a8-9d2b818fe0a5 · outbound
This paper cites Caffarelli, L.
A sharp isoperimetric inequality and the top order $Q$-curvature Caffarelli, L
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T22:46:36.017867Z
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 82ed53dc-20df-4b50-a6e1-98cae064daf4 · outbound
This paper cites Cavalletti, A.
A sharp isoperimetric inequality and the top order $Q$-curvature Cavalletti, A
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T22:46:36.057699Z
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 b5d498b6-31e0-457d-a414-46db1b68526e · outbound
This paper cites Chang, M.
A sharp isoperimetric inequality and the top order $Q$-curvature Chang, M
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T22:46:36.047249Z
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 f28336f5-fb32-479c-ba55-17d7ed68634b · outbound
This paper cites Chang, J.
A sharp isoperimetric inequality and the top order $Q$-curvature Chang, J
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T22:46:36.064154Z
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 3d5fd5b3-8536-4488-a66b-3aa05244d1f0 · outbound
This paper cites Cohn-Vossen, K¨ urzeste Wege und Totalkr¨ ummung auf Fl¨ achen, Compositio Math.
A sharp isoperimetric inequality and the top order $Q$-curvature Cohn-Vossen, K¨ urzeste Wege und Totalkr¨ ummung auf Fl¨ achen, Compositio Math
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T22:46:36.030603Z
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 ccd98f2a-3102-4ded-a169-613a618e68d7 · outbound
This paper cites Croke, A sharp four-dimensional isoperimetric inequality, Comment.
A sharp isoperimetric inequality and the top order $Q$-curvature Croke, A sharp four-dimensional isoperimetric inequality, Comment
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T22:46:36.036485Z
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 b6c4123b-a173-4a4b-941d-3757aa438792 · outbound
This paper cites David, S.
A sharp isoperimetric inequality and the top order $Q$-curvature David, S
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T22:46:36.029430Z
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 e15d5cdd-1148-4bb9-a12d-7345587ec25a · outbound
This paper cites Fang, On a conformal Gauss–Bonnet–Chern inequality for LCF manifolds and related topics, Calc.
A sharp isoperimetric inequality and the top order $Q$-curvature Fang, On a conformal Gauss–Bonnet–Chern inequality for LCF manifolds and related topics, Calc
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T22:46:36.025848Z
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 e4ac472a-b783-47b9-8e8e-87499747615f · outbound
This paper cites Fefferman, C.R.
A sharp isoperimetric inequality and the top order $Q$-curvature Fefferman, C.R
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T22:46:36.056069Z
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 05829401-7449-4aad-a8be-50c50ae0ee55 · outbound
This paper cites Fiala, Le probl` eme des isop´ erim` etres sur les surfaces ouvertes ` a courbure positive, Comment.
A sharp isoperimetric inequality and the top order $Q$-curvature Fiala, Le probl` eme des isop´ erim` etres sur les surfaces ouvertes ` a courbure positive, Comment
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T22:46:36.008534Z
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 d78c1875-a199-45af-af54-774cf281c8e6 · outbound
This paper cites Finn, On a class of conformal metrics, with application to differential geometry in the large, Comment.
A sharp isoperimetric inequality and the top order $Q$-curvature Finn, On a class of conformal metrics, with application to differential geometry in the large, Comment
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T22:46:36.001118Z
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 0c546a2c-84a2-4b83-b9e8-7f9ca3c0c8f1 · outbound
This paper cites Ghomi, J.
A sharp isoperimetric inequality and the top order $Q$-curvature Ghomi, J
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T22:46:36.054204Z
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 1eb3c171-268f-4d0f-9a9b-9ec4e9278c9f · outbound
This paper cites an unresolved cited work.
A sharp isoperimetric inequality and the top order $Q$-curvature Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-07-09T22:46:36.032748Z
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 00323b5e-ae7e-4a2a-8834-56377e22769a · outbound
This paper cites Hartman, Geodesic parallel coordinates in the large.
A sharp isoperimetric inequality and the top order $Q$-curvature Hartman, Geodesic parallel coordinates in the large
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T22:46:36.050841Z
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 5cde65df-a8f0-4476-9037-a64fccbdefb6 · outbound
This paper cites Huber, On the isoperimetric inequality on surfaces of variable Gaussian curvature, Ann.
A sharp isoperimetric inequality and the top order $Q$-curvature Huber, On the isoperimetric inequality on surfaces of variable Gaussian curvature, Ann
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T22:46:36.061891Z
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 febbac54-d69a-457e-a5e1-876bdfa3d5cc · outbound
This paper cites Huber, On subharmonic functions and differential geometry in the large, Comment.
A sharp isoperimetric inequality and the top order $Q$-curvature Huber, On subharmonic functions and differential geometry in the large, Comment
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T22:46:36.068737Z
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 39a6bdfc-ac52-4935-9efe-cb07629f525e · outbound
This paper cites Kleiner, An isoperimetric comparison theorem, Invent.
A sharp isoperimetric inequality and the top order $Q$-curvature Kleiner, An isoperimetric comparison theorem, Invent
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T22:46:36.031163Z
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 f1848d1a-9802-4786-8d6f-ed6747328fe7 · outbound
This paper cites Li, The total Q-curvature, volume entropy and polynomial growth polyharmonic functions, Adv.
A sharp isoperimetric inequality and the top order $Q$-curvature Li, The total Q-curvature, volume entropy and polynomial growth polyharmonic functions, Adv
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T22:46:36.057868Z
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 58669fbd-6ff0-40be-b9d4-79783e9b0c63 · outbound
This paper cites Conformal metrics with finite total Q-curvature revisited.
A sharp isoperimetric inequality and the top order $Q$-curvature Conformal metrics with finite total Q-curvature revisited
Reference 28
- Resolution
- verified exact
- local_arxiv, observed 2026-07-09T22:46:35.912493Z
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 265dfa91-3a8b-4cbf-99cf-34aede9ecb15 · outbound
This paper cites an unresolved cited work.
A sharp isoperimetric inequality and the top order $Q$-curvature Unresolved cited work
Reference 29
- Resolution
- verified exact
- arxiv_id, observed 2026-07-09T22:46:35.909891Z
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 47b365ed-308b-4334-b8ed-4e057b89f1af · outbound
This paper cites an unresolved cited work.
A sharp isoperimetric inequality and the top order $Q$-curvature Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-07-09T22:46:36.042558Z
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 c05f2dce-e108-4d68-9411-0859e465d40e · outbound
This paper cites Li, L.-F.
A sharp isoperimetric inequality and the top order $Q$-curvature Li, L.-F
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T22:46:36.021805Z
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 d9a9c39c-9180-4a1b-ba91-0ec1369a3765 · outbound
This paper cites Ma, Cohn-Vossen theory for locally conformally flat manifolds, arXiv:2606.13979.
A sharp isoperimetric inequality and the top order $Q$-curvature Ma, Cohn-Vossen theory for locally conformally flat manifolds, arXiv:2606.13979
Reference 32
- Resolution
- verified exact
- arxiv_id, observed 2026-07-09T22:46:35.916430Z
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 1853af9c-d5e1-4eb6-96ce-371ff55768e3 · outbound
This paper cites an unresolved cited work.
A sharp isoperimetric inequality and the top order $Q$-curvature Unresolved cited work
Reference 33
- Resolution
- unresolved
- raw_fallback, observed 2026-07-09T22:46:36.039983Z
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 e5693f74-a7d5-4b1a-b131-41bdf05c8023 · outbound
This paper cites Ndiaye, J.
A sharp isoperimetric inequality and the top order $Q$-curvature Ndiaye, J
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T22:46:36.066378Z
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 8a5d0e91-0d1d-4d2c-9d2a-293120da38a7 · outbound
This paper cites Osserman, The isoperimetric inequality, Bull.
A sharp isoperimetric inequality and the top order $Q$-curvature Osserman, The isoperimetric inequality, Bull
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T22:46:36.016046Z
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 4be2bd46-dad2-4c5f-a760-8c4f50636715 · outbound
This paper cites Peterson, Future directions of research in geometry: A summary of the panel dis- cussion at the 2007 Midwest Geometry Conference, SIGMA Symmetry Integrability Geom.
A sharp isoperimetric inequality and the top order $Q$-curvature Peterson, Future directions of research in geometry: A summary of the panel dis- cussion at the 2007 Midwest Geometry Conference, SIGMA Symmetry Integrability Geom
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T22:46:36.059446Z
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 7f76a267-6bf2-4389-8d31-5db814eacc20 · outbound
This paper cites Schulze, Nonlinear evolution by mean curvature and isoperimetric inequalities, J.
A sharp isoperimetric inequality and the top order $Q$-curvature Schulze, Nonlinear evolution by mean curvature and isoperimetric inequalities, J
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T22:46:36.034635Z
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 ad36d6f2-4f24-426a-87d8-8c8321eec187 · outbound
This paper cites Semmes, Bi-Lipschitz mappings and strongA ∞ weights, Ann.
A sharp isoperimetric inequality and the top order $Q$-curvature Semmes, Bi-Lipschitz mappings and strongA ∞ weights, Ann
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T22:46:36.055933Z
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 dee2ce72-287c-4be0-9da3-04f310206587 · outbound
This paper cites Shiohama, Total curvatures and minimal areas of complete surfaces.
A sharp isoperimetric inequality and the top order $Q$-curvature Shiohama, Total curvatures and minimal areas of complete surfaces
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T22:46:35.988152Z
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 002755b8-cee2-47bc-93bc-d9991a9ae1a2 · outbound
This paper cites an unresolved cited work.
A sharp isoperimetric inequality and the top order $Q$-curvature Unresolved cited work
Reference 40
- Resolution
- unresolved
- raw_fallback, observed 2026-07-09T22:46:36.052561Z
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 1701959d-19c3-494a-ad59-502eeeb6d568 · outbound
This paper cites Topping, Mean curvature flow and geometric inequalities, J.
A sharp isoperimetric inequality and the top order $Q$-curvature Topping, Mean curvature flow and geometric inequalities, J
Reference 41
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T22:46:36.053987Z
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 d356b9ad-dc01-407d-a94d-4207cee224c7 · outbound
This paper cites Wang, The isoperimetric inequality and quasiconformal maps on manifolds with finite total Q-curvature, Int.
A sharp isoperimetric inequality and the top order $Q$-curvature Wang, The isoperimetric inequality and quasiconformal maps on manifolds with finite total Q-curvature, Int
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T22:46:36.050145Z
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 002cb62b-d8d3-4a36-93fa-fabd677776c4 · outbound
This paper cites Wang, The isoperimetric inequality and Q-curvature, Adv.
A sharp isoperimetric inequality and the top order $Q$-curvature Wang, The isoperimetric inequality and Q-curvature, Adv
Reference 43
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T22:46:36.048956Z
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 8ac26146-708a-4bb9-b231-700c605eff03 · outbound
This paper cites Weil, Sur les surfaces a courbure negative, C.R.
A sharp isoperimetric inequality and the top order $Q$-curvature Weil, Sur les surfaces a courbure negative, C.R
Reference 44
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T22:46:36.043685Z
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 4e2ccd04-321b-41c0-804c-f93ebbe7974f · outbound
This paper cites Xiao, Toward best isoperimetric constants for (H 1, BM O)-normal conformal met- rics onR n,n≥3, Adv.
A sharp isoperimetric inequality and the top order $Q$-curvature Xiao, Toward best isoperimetric constants for (H 1, BM O)-normal conformal met- rics onR n,n≥3, Adv
Reference 45
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T22:46:36.038243Z
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 81428b8d-d5b8-479c-9659-87dd0c39f035 · inbound
Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ cites this paper.
Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ A sharp isoperimetric inequality and the top order $Q$-curvature
Reference 33
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T15:54:27.304751Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a7767e30-fa39-45de-b4c9-0fb93c6ec1d8 · inbound
Bonnet-Myers type theorems for $Q$-curvature on four-manifolds cites this paper.
Bonnet-Myers type theorems for $Q$-curvature on four-manifolds A sharp isoperimetric inequality and the top order $Q$-curvature
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T02:56:09.666167Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.