Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T20:46:33.288004Z
Paper Citation Record · LEDGER
As of 23 August 2026, this Paper Citation Record lists 63 of 63 outbound references and 0 inbound Pith citation observations for arXiv:2505.12573.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T20:46:33.288004Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
63 of 63 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 7e5b6025-56d4-4f9c-ab9b-b650452ab333 · outbound
On the $m$th order $p$-affine capacity Aubin, Probl` emes isop´ erim´ etriques et espaces de Sobolev, J
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 0a1b5b5b-95e6-49b5-bd2a-99d59b27a5c9 · outbound
On the $m$th order $p$-affine capacity Borell, Capacitary inequalities of the Brunn-Minkowski type , Math
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation af545a76-4643-46d7-9e93-fb83fae6ea49 · outbound
On the $m$th order $p$-affine capacity Unresolved cited work
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 3cc45e35-55aa-4eb2-bc75-f95ddac2bcd7 · outbound
On the $m$th order $p$-affine capacity Cianchi, E
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 0867f73d-67e0-4677-8fe2-ebdb7e6836ad · outbound
On the $m$th order $p$-affine capacity Colesanti, K
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 0476faae-a56f-40af-94e1-1ee3f5d42abc · outbound
On the $m$th order $p$-affine capacity Colesanti and P
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation e37b2420-b6b7-41c6-8bc1-a3f053df0428 · outbound
On the $m$th order $p$-affine capacity Evans and R
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 22b5ca34-973f-45c4-8ef7-c7a6dd145486 · outbound
On the $m$th order $p$-affine capacity Federer, Geometric Measure Theory, Springer, Berlin, (1969)
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 0afee303-86eb-429f-b0df-7d723c3868b9 · outbound
On the $m$th order $p$-affine capacity Federer and W
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation eaa73051-3b20-465e-a10b-ed88ef768321 · outbound
On the $m$th order $p$-affine capacity Unresolved cited work
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 9147d40e-cf12-4fac-b0b4-fc9d75c1beca · outbound
On the $m$th order $p$-affine capacity Guillemin and A
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 741e503e-d699-4eae-81ce-b02779f6ad84 · outbound
On the $m$th order $p$-affine capacity Haberl and F
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation c4e5da49-c540-405f-9d3b-799518c00c7a · outbound
On the $m$th order $p$-affine capacity Haberl and F
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation ca41f471-56cb-48f7-bba1-08be2cbb1755 · outbound
On the $m$th order $p$-affine capacity Haberl, F
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 9c6b6bd9-454c-4faf-80c4-f6606808b6d3 · outbound
On the $m$th order $p$-affine capacity A Rogers--Brascamp--Lieb--Luttinger inequality in the space of matrices
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 4b1a1bd1-f245-44b2-8068-1269176baf07 · outbound
On the $m$th order $p$-affine capacity Haddad, C
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 79186d6d-c6e2-4f5b-91f6-f067978552c1 · outbound
On the $m$th order $p$-affine capacity On the polar of Schneider's difference body
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 747fbff7-9098-4fc4-af6e-fb91942a0aaf · outbound
On the $m$th order $p$-affine capacity Affine Isoperimetric Inequalities for Higher-Order Projection and Centroid Bodies
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 7d1663a9-5253-4de0-8a64-824a2b878a6c · outbound
On the $m$th order $p$-affine capacity Haddad, D
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 1c93b37b-2ed0-4a68-aadd-e01701db3b79 · outbound
On the $m$th order $p$-affine capacity Haddad and M
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation b18453fd-d7d9-4f30-a2a5-a1b558f9832d · outbound
On the $m$th order $p$-affine capacity Haddad and M
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 2ca50472-39e4-4fb4-8ceb-4b8d7e078c61 · outbound
On the $m$th order $p$-affine capacity Heinonen, T
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 97a910ba-72c3-4a1b-9a6c-506b1da35b4a · outbound
On the $m$th order $p$-affine capacity Hong and D
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation e2db4327-9543-47fb-920c-8551c102b514 · outbound
On the $m$th order $p$-affine capacity Unresolved cited work
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 19f061bf-77cb-4e42-a796-221400362119 · outbound
On the $m$th order $p$-affine capacity The $L_{p}$-Brunn-Minkowski inequalities for variational functionals with $0\leq p<1$
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 7c7915f4-aa89-4525-b246-4b80025e30d9 · outbound
On the $m$th order $p$-affine capacity Jerison, A Minkowski problem for electrostatic capacity , Acta Math., 176 (1996), 1-47
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 56870589-c918-4604-b10a-b243c6988128 · outbound
On the $m$th order $p$-affine capacity Jerison, The direct method in the calculus of variations for convex bodies , Adv
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 6ab9c7f6-c2c5-488c-bb4a-be227fe40a3e · outbound
On the $m$th order $p$-affine capacity Ji, The dual Minkowski problem for p-capacity, J
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 3123d1e1-cb40-4001-a86e-495c3ed44d99 · outbound
On the $m$th order $p$-affine capacity Langharst, Some comments on the mth-order projection bodies, arXiv:2504.18933v1 (2025)
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation e08af7c1-d241-4fbf-a787-0f0826f923bd · outbound
On the $m$th order $p$-affine capacity On Moment-Entropy inequalities in the space of matrices
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation ebf482f0-b7d8-42dc-b048-a7040498037d · outbound
On the $m$th order $p$-affine capacity Langharst, E
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 83ce953b-c6f9-4c1b-9c67-d8a7200704f2 · outbound
On the $m$th order $p$-affine capacity On the $m$th-order Affine P\'olya-Szeg\"o Principle
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 310da619-f639-43ae-bbd5-dcba62a7eb99 · outbound
On the $m$th order $p$-affine capacity Langharst, F
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2ae7cf9d-4656-45d4-bb9a-8a224fae29c6 · outbound
On the $m$th order $p$-affine capacity Langharst and D
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation ded06b5d-795b-4034-af4c-73247d07233e · outbound
On the $m$th order $p$-affine capacity Liu and W
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 4f30e1ad-b2c8-44dd-8d56-d3723bfbe138 · outbound
On the $m$th order $p$-affine capacity Lin and D
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 20da16b9-31f9-40ba-8e5e-7f0d78aa19c9 · outbound
On the $m$th order $p$-affine capacity Ludwig, J
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 495015ce-f556-40be-9e0d-cc2319204458 · outbound
On the $m$th order $p$-affine capacity Lutwak, The Brunn-Minkowski-Firey theory
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 8f121ed8-d32b-4dba-a88e-0688645a18aa · outbound
On the $m$th order $p$-affine capacity Lutwak, D
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation ea68f796-a676-4ce7-8821-d0f0d4d4f30a · outbound
On the $m$th order $p$-affine capacity Lutwak, D
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation b653c051-1009-45be-b031-827a00fd8fbc · outbound
On the $m$th order $p$-affine capacity Lutwak, D
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 4c4a4a12-ecf6-495e-95cf-e4a7fa809d78 · outbound
On the $m$th order $p$-affine capacity Maz’ya, Classes of domains and imbedding theorems for function spaces, Dokl
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation a80712a3-3293-4eff-9a08-d2661fd50a15 · outbound
On the $m$th order $p$-affine capacity Maz’ya, Sobolev Spaces, Springer, Berlin, (1985)
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation c2968eeb-130b-4a90-aaab-ce890f38a094 · outbound
On the $m$th order $p$-affine capacity Maz’ya, Sobolev Spaces with Applications to Elliptic Partial Differential Equations , 2nd edn
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation bf357c4a-fcce-4745-aa4e-6b57591f11ce · outbound
On the $m$th order $p$-affine capacity Unresolved cited work
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 5bb6ed78-e6f5-4d53-9e44-7b27fc5c7578 · outbound
On the $m$th order $p$-affine capacity Unresolved cited work
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 29ad821e-9401-4125-b596-93b5e63aceea · outbound
On the $m$th order $p$-affine capacity Unresolved cited work
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 9ebdbad8-3a11-4abb-8ff9-2e7486fa4c92 · outbound
On the $m$th order $p$-affine capacity Schneider, Eine verallgemeinerung des differenzenk¨ orpers, Monatsh
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation b65e9153-978b-464e-afd2-b20d6a4cf7b6 · outbound
On the $m$th order $p$-affine capacity Schneider, Convex Bodies: The Brunn-Minkowski Theory , Second edition, Encyclopedia of Mathematics and its Applications, Cambridge University Press, Cambridge, (2014)
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 1fe77f64-2645-4eab-8ee3-ad7e55fc8425 · outbound
On the $m$th order $p$-affine capacity On general versions of the Petty projection inequality
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation e35346d5-90cc-4840-b886-eeff824cab43 · outbound
On the $m$th order $p$-affine capacity Talenti, Best constant in Sobolev inequality, Ann
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 7758b491-e195-4035-9fd3-7081cac4ad9a · outbound
On the $m$th order $p$-affine capacity Wang, The affine Sobolev-Zhang inequality onBV (Rn), Adv
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 6bab1c70-6797-4fd4-9532-877610b6687a · outbound
On the $m$th order $p$-affine capacity Wang, The affine P´ olya-Szeg¨ o principle: equality cases and stability, J
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 554e6d0e-31ab-4cb2-b39e-83a061909a1a · outbound
On the $m$th order $p$-affine capacity Wang, On the discrete functionalLp Minkowski problem, Int
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 2681800f-15a3-46cc-a1ae-c48bb303920a · outbound
On the $m$th order $p$-affine capacity The sharp Sobolev and isoperimetric inequalities split twice
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation fad1a329-5b63-4179-b031-b0275f85d9af · outbound
On the $m$th order $p$-affine capacity Xiao, The p-affine capacity, J
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 8348a531-b4af-41e2-a9c9-34232a76025b · outbound
On the $m$th order $p$-affine capacity Xiao, The p-affine capacity redux, J
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation d8bf1974-a436-41e4-8617-f2223f5c90fd · outbound
On the $m$th order $p$-affine capacity Xiao and N
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation a0ed6128-7e65-4b0f-b041-6ea724c8bd4d · outbound
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 65abf7ab-57d3-4e99-9ac2-6acb2fbfa774 · outbound
On the $m$th order $p$-affine capacity Zhang, The affine Sobolev inequality , J
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 95956bd7-725a-46cb-826c-881e01932f1d · outbound
On the $m$th order $p$-affine capacity The $m$th order Orlicz projection bodies
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation ca597718-3d4d-408e-aea6-0d50ac3e9244 · outbound
On the $m$th order $p$-affine capacity Zou and G
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation b13b27f7-45e1-45fd-883b-bef75b3d9b3d · outbound
On the $m$th order $p$-affine capacity Zou and G
Reference 63
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
No inbound Pith citation observations are available.