Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T15:20:54.072244Z
Paper Citation Record · LEDGER
As of 16 August 2026, this Paper Citation Record lists 67 of 67 outbound references and 0 inbound Pith citation observations for arXiv:1908.01634.
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 2026-08-14T15:20:54.072244Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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
67 of 67 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 8aefab05-3901-468d-9467-48223a39cf11 · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Abardia and A
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2e026ca2-8e6c-4610-ba04-6568356ac390 · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Alesker, A
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 3539f271-83db-4eb0-9613-fc743dcdaa8f · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Alesker, S
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b413eba1-9f90-41c8-8587-e67f6798287b · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Unresolved cited work
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e95cfc9d-8a9c-4699-9d0b-883f76aac003 · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Bolker, A class of convex bodies , Trans
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation eef9b48d-5a1e-4961-9e30-c5b9c5be8b34 · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals B¨ or¨ oczky,Stronger versions of the Orlicz-Petty projection inequali ty, J
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4bf2a36b-ab61-41d2-85db-1070f7d5701f · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Busemann, Volume in terms of concurrent cross-sections , Pacific J
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 49151918-568d-4ed7-9605-26b4f598c784 · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Busemann, A theorem on convex bodies of the Brunn-Minkowski type , Proc
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a5bc98fc-0521-4c0e-ad11-2aa41f18e53a · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Busemann and E.G
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c7e338ee-ee4d-4e1c-aefa-86bce540c6c7 · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Campi and P
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 829ac3fc-d1bd-4886-a369-a7bd08883142 · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Dafnis and G
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 09e6b594-0f13-47bc-bc10-e7b048f6eafd · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Unresolved cited work
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e08cc475-e679-4caf-8228-5a4ad8f6f4cd · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Affine isoperimetric inequalities on flag manifolds
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6b15cc34-c2f4-4d0e-982e-4fb056f2486a · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Dorrek, Minkowski endomorphisms , Geom
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 02685552-a0d6-404a-bcd5-930278f944d8 · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Dorrek and F.E
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 08c147af-77ff-4831-ad1d-7707636020c9 · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Firey, p-means of convex bodies , Math
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ae8b4bc5-c8c5-49ac-b772-a41bd2055854 · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Firey, Blaschke sums of convex bodies and mixed bodies , In Proc
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0a41ff5b-bb07-4541-946e-066dafa48055 · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Gardner, Geometric tomography, Second ed., Cambridge University Press, Cambridge, 2006
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2b45c399-0664-4789-b8fa-d3f22fbe6406 · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Gardner, The dual Brunn-Minkowski theory for bounded Borel sets: dua l affine quermassintegrals and inequalities , Adv
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f3b1cd03-d042-4c78-855c-52ae524cb986 · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Goodey and W
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c41e5d60-0fc6-48e0-ae26-79d5d09d046d · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Grinberg, Isoperimetric inequalities and identities for k-dimensio nal cross-sections of convex bodies, Math
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ba7eecd6-2ff5-43ec-aaf7-bff897d3cc09 · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Haberl and F.E
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0cfaf20d-3857-431e-a4d7-12b1ffd8f377 · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Affine vs. Euclidean isoperimetric inequalities
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 3452415f-6081-4987-9efa-2bc8bf139e17 · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Haberl, Star body valued valuations , Indiana Univ
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2662d4bf-35d8-4eec-8ab3-7e9b0ec80346 · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Kiderlen, Blaschke- and Minkowski-Endomorphisms of convex bodies , Trans
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f4e0ac61-7f63-4bf2-99f8-87a6d9f19568 · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Leng and J
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f5909a19-e845-4195-a2ef-b80484268b78 · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Leng and F
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 90cc6490-b590-41d5-b113-9fae75ece296 · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Ludwig, Projection bodies and valuations , Adv
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation aaa3dce6-23fd-43df-af2c-4ac625a3dea1 · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Ludwig, Minkowski valuations , Trans
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation cecda7bd-1baa-49ed-ab4c-25d7d069d56a · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Ludwig, Intersection bodies and valuations , Amer
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 95f309d6-259b-45d2-8484-5f715e664b9d · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Lutwak, Mean dual and harmonic cross-sectional measures , Ann
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9f49ffbd-467e-4cd8-8e9b-f81e51402e89 · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Lutwak, A general isepiphanic inequality , Proc
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ab818394-25d9-4459-bb76-ca3ccf69c8f9 · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Lutwak, Mixed projection inequalities , Trans
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 99324df3-59af-4bdf-a4ca-6cda7675088d · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Lutwak, Volume of mixed bodies , Trans
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7b4d0c54-2127-4852-816f-4f8e2534b816 · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Lutwak, On some affine isoperimetric inequalities , J
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 15cfb098-bf33-4952-afd1-d7a261c114ab · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Lutwak, Inequalities for Hadwiger’s harmonic quermassintegrals, Math
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation bbccb966-803f-4f40-bcaa-cf73b2871e9c · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Lutwak, Intersection bodies and dual mixed volumes , Adv
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1a0b7bf4-dd42-4b5c-9681-9a5899dff00f · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Lutwak, On quermassintegrals of mixed projection bodies , Geom
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ae925db7-0b22-4ce9-8fe0-c899286853c5 · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Lutwak, On some ellipsoid formulas of Busemann, Furstenberg-Tzkon i, Guggenheimer, and Petty , J
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 81ccffa9-2dc1-49a4-a7e4-7a5492047ba1 · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Lutwak, Inequalities for mixed projection bodies , Trans
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ed7dbfa8-d6d9-4330-a3fd-35a258f71bdc · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Lutwak, The Brunn-Minkowski-Firey theory, I
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7f103ad3-a20d-40e4-a385-18cf848ad44e · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Lutwak, The Brunn-Minkowski-Firey theory
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 96ea7beb-c8cf-498d-9191-ff57726b7565 · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Lutwak, D
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f0367c40-e255-4745-88c0-aceb7d917204 · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Lutwak, D
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation df4f0423-7890-45b7-8c5f-752b556e1303 · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Lutwak and G
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e0313793-f6ea-4277-a6b4-d6e527336270 · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Parapatits, SL( n)-covariant Lp-Minkowski valuations , J
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 3ad0d623-cb8e-460f-a994-3f35b5ab0082 · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Parapatits, SL( n)-contravariant Lp-Minkowski valuations , Trans
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b7db6f51-47fe-429a-a16d-e78cd45a08cf · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Parapatits and F.E
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4b6771bb-cad2-4ca5-b23a-e9bef6ab9153 · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Parapatits and T
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation da8279c6-6d68-40d4-aa77-3d59db09509b · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Paouris and P
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ec4f8713-dd53-4989-ad04-b8258f77c10e · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Petty, Isoperimetric problems, Proc
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ee0ad370-6021-46b0-8ead-fbe5d99d2f7b · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Petty, Centroid surfaces, Pacific J
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 77be151f-36e8-4d12-8ca4-59b85e0f380b · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Petty, Projection bodies , Proc
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8616f0ef-9962-4a89-978d-118dabc92444 · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Schneider, Zu einem Problem von Shepard ¨ uber die Projektionen konvexer K¨ orper, Math
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0c1b2cfb-1caf-4099-97a7-fa6190a26d41 · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Schneider, Equivariant endomorphisms of the space of convex bodies , Trans
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation dcb42669-218b-46d0-b9bf-f741e70df16d · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Schneider, Bewegungs¨ aquivariante, additive und stetige Transforma tionen konvexer Bereiche, Arch
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ad5be2e2-5d10-4ac1-ac86-331c2124422b · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Schneider, Convex Bodies: The Brunn–Minkowski Theory , Second ed., Encyclopedia of Mathematics and its Applications 151, Cambridge University Press, C ambridge, 2013
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a5270eef-806f-4704-9658-7f7dff85ad7b · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Schneider and F.E
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2de92fc8-29f5-4973-bcd9-ca29e7077600 · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Schuster, Volume inequalities and additive maps of convex bodies , Mathematika 53 (2006), 211–234
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation eaed0253-2eec-41dd-a7bf-e007f072f871 · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Schuster, Convolutions and multiplier transformations of convex bod ies, Trans
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7af2d9cf-45d1-4b77-b9a3-cc3437f39959 · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Schuster, Crofton Measures and Minkowski Valuations , Duke Math
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation cf26128c-8476-4f7b-a663-04673bd5842b · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Schuster and T
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 59088e12-3992-4c31-a304-3f5185786142 · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Schuster and T
Reference 63
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a8922531-ce7a-49c9-aacc-a2c04745712d · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals S¨ uss, Zu Minkowskis Theorie von Volumen und Oberfl¨ ache , Math
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation bb0993db-d708-4d5b-946a-5628fabd14b1 · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Wang, The affine Sobolev-Zahng inequality on BV (Rn), Adv
Reference 65
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7c27da2f-35fb-4ae9-bdbe-b04eca3bebb7 · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Zhang, Centered bodies and dual mixed volumes , Trans
Reference 66
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation da119194-5a1b-407b-8a77-8cd395642336 · outbound
Lutwak-Petty projection inequalities for Minkowski valuations and their duals Zhang, The affine Sobolev inequality , J
Reference 67
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
No inbound Pith citation observations are available.