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Paper Citation Record · LEDGER

On the $m$th order $p$-affine capacity

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.

pith.paper-citation-record.v1
2505.12573 v1

Coverage vector

measured 63 of 63 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:46:33.288004Z

measured 63 of 63 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

63 of 63 outbound references displayed

  • verified exact9
  • verified fuzzy47
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7e5b6025-56d4-4f9c-ab9b-b650452ab333 · outbound

This paper cites Aubin, Probl` emes isop´ erim´ etriques et espaces de Sobolev, J.

On the $m$th order $p$-affine capacity Aubin, Probl` emes isop´ erim´ etriques et espaces de Sobolev, J

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:34.131123Z

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.

source=pdf_text observed=2026-08-15T20:46:33.061483Z digest=sha256:de5e390aa6d20296301dd1b50a27b43ad678722c4476c901dd0b407f7886ca7c

Observation 0a1b5b5b-95e6-49b5-bd2a-99d59b27a5c9 · outbound

This paper cites Borell, Capacitary inequalities of the Brunn-Minkowski type , Math.

On the $m$th order $p$-affine capacity Borell, Capacitary inequalities of the Brunn-Minkowski type , Math

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:34.120625Z

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.

source=pdf_text observed=2026-08-15T20:46:33.065991Z digest=sha256:1713222e83a19367ea4a2abeeb4886b5267955c64649ff9ad1fae1edb5ffd46d

Observation af545a76-4643-46d7-9e93-fb83fae6ea49 · outbound

This paper cites an unresolved cited work.

On the $m$th order $p$-affine capacity Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:46:34.109204Z

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.

source=pdf_text observed=2026-08-15T20:46:33.071482Z digest=sha256:bdc2350f39d173ec84559841daa0c0223cc58873904da4790c1d12482d868f21

Observation 3cc45e35-55aa-4eb2-bc75-f95ddac2bcd7 · outbound

This paper cites Cianchi, E.

On the $m$th order $p$-affine capacity Cianchi, E

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:34.097950Z

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.

source=pdf_text observed=2026-08-15T20:46:33.075231Z digest=sha256:53098553d3c997053b223f79f9dd5ac46371fc92b9ac14984c26e0303d937ff1

Observation 0867f73d-67e0-4677-8fe2-ebdb7e6836ad · outbound

This paper cites Colesanti, K.

On the $m$th order $p$-affine capacity Colesanti, K

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:34.087264Z

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.

source=pdf_text observed=2026-08-15T20:46:33.078985Z digest=sha256:992d6df2c26c9c46409d5982d8ac846c9a0c5675fcb321782e59f60d993c6fd7

Observation 0476faae-a56f-40af-94e1-1ee3f5d42abc · outbound

This paper cites Colesanti and P.

On the $m$th order $p$-affine capacity Colesanti and P

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:34.075467Z

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.

source=pdf_text observed=2026-08-15T20:46:33.082511Z digest=sha256:5dc621a93d3582837ab97b083f44bbb5164a682c7fe417d641601f473fcd3267

Observation e37b2420-b6b7-41c6-8bc1-a3f053df0428 · outbound

This paper cites Evans and R.

On the $m$th order $p$-affine capacity Evans and R

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:34.064360Z

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.

source=pdf_text observed=2026-08-15T20:46:33.086460Z digest=sha256:0f19c25baf97d9106ef434a89c660225cfacfe33755db0334a2ff6ad695e9a79

Observation 22b5ca34-973f-45c4-8ef7-c7a6dd145486 · outbound

This paper cites Federer, Geometric Measure Theory, Springer, Berlin, (1969).

On the $m$th order $p$-affine capacity Federer, Geometric Measure Theory, Springer, Berlin, (1969)

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:34.054284Z

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.

source=pdf_text observed=2026-08-15T20:46:33.089901Z digest=sha256:4707c10b4cc1958df07f0e8cac956a9edeeb54050aa8630ff45a60871e240d65

Observation 0afee303-86eb-429f-b0df-7d723c3868b9 · outbound

This paper cites Federer and W.

On the $m$th order $p$-affine capacity Federer and W

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:34.043688Z

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.

source=pdf_text observed=2026-08-15T20:46:33.093368Z digest=sha256:f82e85f795cb81a7dbc9dcec8c688d8ca816f54eb4a45a8529f016ade082870b

Observation eaa73051-3b20-465e-a10b-ed88ef768321 · outbound

This paper cites an unresolved cited work.

On the $m$th order $p$-affine capacity Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:46:34.033480Z

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.

source=pdf_text observed=2026-08-15T20:46:33.096966Z digest=sha256:66e4b56e9a92cf90dd1529b84f0f57c1b0a44de7a435578adc3219f47bcc54ef

Observation 9147d40e-cf12-4fac-b0b4-fc9d75c1beca · outbound

This paper cites Guillemin and A.

On the $m$th order $p$-affine capacity Guillemin and A

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:34.022710Z

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.

source=pdf_text observed=2026-08-15T20:46:33.100352Z digest=sha256:4fc7b388fb8d86d59325a2c54358015dbe5670a6229fd38ef57ca974bbbb99bf

Observation 741e503e-d699-4eae-81ce-b02779f6ad84 · outbound

This paper cites Haberl and F.

On the $m$th order $p$-affine capacity Haberl and F

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:34.012597Z

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.

source=pdf_text observed=2026-08-15T20:46:33.104288Z digest=sha256:9da1bf8bf44690f3b457097d72525a6ab70d9a37306ea741387ec1684e2db99f

Observation c4e5da49-c540-405f-9d3b-799518c00c7a · outbound

This paper cites Haberl and F.

On the $m$th order $p$-affine capacity Haberl and F

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:34.002007Z

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.

source=pdf_text observed=2026-08-15T20:46:33.108021Z digest=sha256:a74b5c0a8cfd541f1def8d4aafeb72984a244e84ae0452e7d5ef9e1dd27412e5

Observation ca41f471-56cb-48f7-bba1-08be2cbb1755 · outbound

This paper cites Haberl, F.

On the $m$th order $p$-affine capacity Haberl, F

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:33.992012Z

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.

source=pdf_text observed=2026-08-15T20:46:33.111320Z digest=sha256:268ce374798933445fefea55bb601fafe22eaab4f089de4643f365b020f81d1a

Observation 9c6b6bd9-454c-4faf-80c4-f6606808b6d3 · outbound

This paper cites A Rogers--Brascamp--Lieb--Luttinger inequality in the space of matrices.

On the $m$th order $p$-affine capacity A Rogers--Brascamp--Lieb--Luttinger inequality in the space of matrices

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-15T20:46:33.571040Z

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.

source=pdf_text observed=2026-08-15T20:46:33.114649Z digest=sha256:8957cd9f58c85dbfcb57d09db3ee2d3e18fd17deed37d53522e1392334ce5a6a

Observation 4b1a1bd1-f245-44b2-8068-1269176baf07 · outbound

This paper cites Haddad, C.

On the $m$th order $p$-affine capacity Haddad, C

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:33.982000Z

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.

source=pdf_text observed=2026-08-15T20:46:33.118408Z digest=sha256:432f17837ea4214a6ee97e4a11a04ba83f3be7456e81dc3c5244817de9300244

Observation 79186d6d-c6e2-4f5b-91f6-f067978552c1 · outbound

This paper cites On the polar of Schneider's difference body.

On the $m$th order $p$-affine capacity On the polar of Schneider's difference body

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-15T20:46:33.556031Z

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.

source=pdf_text observed=2026-08-15T20:46:33.121424Z digest=sha256:78863f8b1b2d8c7a7ea1acb067347f6a1eddd9c3261050e51734cce264004859

Observation 747fbff7-9098-4fc4-af6e-fb91942a0aaf · outbound

This paper cites Affine Isoperimetric Inequalities for Higher-Order Projection and Centroid Bodies.

On the $m$th order $p$-affine capacity Affine Isoperimetric Inequalities for Higher-Order Projection and Centroid Bodies

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-08-15T20:46:33.540637Z

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.

source=pdf_text observed=2026-08-15T20:46:33.125814Z digest=sha256:103a23a3f442ea3b3de800e5aaa1e2199e0a789149fb51676b27d12c1c82af71

Observation 7d1663a9-5253-4de0-8a64-824a2b878a6c · outbound

This paper cites Haddad, D.

On the $m$th order $p$-affine capacity Haddad, D

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:33.971963Z

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.

source=pdf_text observed=2026-08-15T20:46:33.129813Z digest=sha256:b42a0b05efd5dcb7acc73e28b3a144e64e52e65818ae00d0bcc7902c2c9afea7

Observation 1c93b37b-2ed0-4a68-aadd-e01701db3b79 · outbound

This paper cites Haddad and M.

On the $m$th order $p$-affine capacity Haddad and M

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:33.962082Z

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.

source=pdf_text observed=2026-08-15T20:46:33.133343Z digest=sha256:352449d7d35f9a0c44d2530b1afc2d3cffb5e086ece2ae47ba4397a46690e050

Observation b18453fd-d7d9-4f30-a2a5-a1b558f9832d · outbound

This paper cites Haddad and M.

On the $m$th order $p$-affine capacity Haddad and M

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:33.951435Z

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.

source=pdf_text observed=2026-08-15T20:46:33.137141Z digest=sha256:f697b2249d9aa17cee97a9d94e3aa0e0e271e913ac66c5f57a3b195d4817fa62

Observation 2ca50472-39e4-4fb4-8ceb-4b8d7e078c61 · outbound

This paper cites Heinonen, T.

On the $m$th order $p$-affine capacity Heinonen, T

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:33.941169Z

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.

source=pdf_text observed=2026-08-15T20:46:33.140664Z digest=sha256:4fc85420e607b4fb116878b9a7cefac8241f0b2b714b3df958b375502093d61d

Observation 97a910ba-72c3-4a1b-9a6c-506b1da35b4a · outbound

This paper cites Hong and D.

On the $m$th order $p$-affine capacity Hong and D

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:33.930205Z

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.

source=pdf_text observed=2026-08-15T20:46:33.144535Z digest=sha256:c60bcaa17c63084eb7313022f1029ac0e89fc87e1df97cb7f44ab3c983835b72

Observation e2db4327-9543-47fb-920c-8551c102b514 · outbound

This paper cites an unresolved cited work.

On the $m$th order $p$-affine capacity Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:46:33.920274Z

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.

source=pdf_text observed=2026-08-15T20:46:33.148711Z digest=sha256:15ffdfe5635581a945d910f3691f1b700dcaa936de79a7d55c01e8ddfa419ef7

Observation 19f061bf-77cb-4e42-a796-221400362119 · outbound

This paper cites The $L_{p}$-Brunn-Minkowski inequalities for variational functionals with $0\leq p<1$.

On the $m$th order $p$-affine capacity The $L_{p}$-Brunn-Minkowski inequalities for variational functionals with $0\leq p<1$

Reference 25

Resolution
verified exact
local_arxiv, observed 2026-08-15T20:46:33.523927Z

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.

source=pdf_text observed=2026-08-15T20:46:33.152240Z digest=sha256:4bc19d69181597866b3048b540c9948ce3a8985a4f936f27e16fc33913d74330

Observation 7c7915f4-aa89-4525-b246-4b80025e30d9 · outbound

This paper cites Jerison, A Minkowski problem for electrostatic capacity , Acta Math., 176 (1996), 1-47.

On the $m$th order $p$-affine capacity Jerison, A Minkowski problem for electrostatic capacity , Acta Math., 176 (1996), 1-47

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:33.909793Z

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.

source=pdf_text observed=2026-08-15T20:46:33.156006Z digest=sha256:2d70f87fe4b2553cdc421ae1055a12724dfd48f360381a76757914c197418353

Observation 56870589-c918-4604-b10a-b243c6988128 · outbound

This paper cites Jerison, The direct method in the calculus of variations for convex bodies , Adv.

On the $m$th order $p$-affine capacity Jerison, The direct method in the calculus of variations for convex bodies , Adv

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:33.899283Z

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.

source=pdf_text observed=2026-08-15T20:46:33.159331Z digest=sha256:0f3eb687f5b279a98f5c4002f70ef827d780dea8399dfa378504eb804201adb6

Observation 6ab9c7f6-c2c5-488c-bb4a-be227fe40a3e · outbound

This paper cites Ji, The dual Minkowski problem for p-capacity, J.

On the $m$th order $p$-affine capacity Ji, The dual Minkowski problem for p-capacity, J

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:33.889067Z

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.

source=pdf_text observed=2026-08-15T20:46:33.163007Z digest=sha256:547470b6c1015451deaf5d7fc9a8b16a9e35e735b10cfd89095587a1d7f0ce37

Observation 3123d1e1-cb40-4001-a86e-495c3ed44d99 · outbound

This paper cites Langharst, Some comments on the mth-order projection bodies, arXiv:2504.18933v1 (2025).

On the $m$th order $p$-affine capacity Langharst, Some comments on the mth-order projection bodies, arXiv:2504.18933v1 (2025)

Reference 29

Resolution
verified exact
raw_fallback, observed 2026-08-15T20:46:33.510220Z

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.

source=pdf_text observed=2026-08-15T20:46:33.166260Z digest=sha256:9b10408579393102dbc404bded030e3c456e3234aca49e0f1498f7218b233cc6

Observation e08af7c1-d241-4fbf-a787-0f0826f923bd · outbound

This paper cites On Moment-Entropy inequalities in the space of matrices.

On the $m$th order $p$-affine capacity On Moment-Entropy inequalities in the space of matrices

Reference 30

Resolution
verified exact
local_arxiv, observed 2026-08-15T20:46:33.449473Z

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.

source=pdf_text observed=2026-08-15T20:46:33.169361Z digest=sha256:cc5345f43daecbc422fa183c1c1dc20d19b2eab3d4602776ad26f2ff972ef048

Observation ebf482f0-b7d8-42dc-b048-a7040498037d · outbound

This paper cites Langharst, E.

On the $m$th order $p$-affine capacity Langharst, E

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:33.878860Z

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.

source=pdf_text observed=2026-08-15T20:46:33.173060Z digest=sha256:19cdf15cb072f5859ddbfd047d96447854b89edad465d6865dc2db37e280cb78

Observation 83ce953b-c6f9-4c1b-9c67-d8a7200704f2 · outbound

This paper cites On the $m$th-order Affine P\'olya-Szeg\"o Principle.

On the $m$th order $p$-affine capacity On the $m$th-order Affine P\'olya-Szeg\"o Principle

Reference 32

Resolution
verified exact
local_arxiv, observed 2026-08-15T20:46:33.433989Z

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.

source=pdf_text observed=2026-08-15T20:46:33.176703Z digest=sha256:8e7c656bc2b61afb5b78c4dd88307161ec0e02d8377e05dab6f3b6392145951e

Observation 310da619-f639-43ae-bbd5-dcba62a7eb99 · outbound

This paper cites Langharst, F.

On the $m$th order $p$-affine capacity Langharst, F

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-15T20:46:33.180207Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T20:46:33.180207Z digest=sha256:5f345529c849e6fb5f517d48c84009358c4e2b87f47aa5b468ad4a16735ffae7

Observation 2ae7cf9d-4656-45d4-bb9a-8a224fae29c6 · outbound

This paper cites Langharst and D.

On the $m$th order $p$-affine capacity Langharst and D

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:33.867920Z

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.

source=pdf_text observed=2026-08-15T20:46:33.183389Z digest=sha256:dec454fb6bc6582a35c11f1dfcd47da8d4b4576cf922721b781f842dfc162d36

Observation ded06b5d-795b-4034-af4c-73247d07233e · outbound

This paper cites Liu and W.

On the $m$th order $p$-affine capacity Liu and W

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:33.857726Z

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.

source=pdf_text observed=2026-08-15T20:46:33.186452Z digest=sha256:6df7eda58aefee7eb299f15afdf79e8115de80d9136a6ae5e3474f14df6e171b

Observation 4f30e1ad-b2c8-44dd-8d56-d3723bfbe138 · outbound

This paper cites Lin and D.

On the $m$th order $p$-affine capacity Lin and D

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:33.847812Z

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.

source=pdf_text observed=2026-08-15T20:46:33.190787Z digest=sha256:0ffa46c026a78386ba311e86015a4ad40fd101a8ebf8f6ad2fddf35f50fb7670

Observation 20da16b9-31f9-40ba-8e5e-7f0d78aa19c9 · outbound

This paper cites Ludwig, J.

On the $m$th order $p$-affine capacity Ludwig, J

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:33.837845Z

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.

source=pdf_text observed=2026-08-15T20:46:33.194290Z digest=sha256:f227cd8cbe5438fde9dd677a7da8eb0c63c420e9c737c2fc19d3f58d5cc95c30

Observation 495015ce-f556-40be-9e0d-cc2319204458 · outbound

This paper cites Lutwak, The Brunn-Minkowski-Firey theory.

On the $m$th order $p$-affine capacity Lutwak, The Brunn-Minkowski-Firey theory

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:33.827880Z

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.

source=pdf_text observed=2026-08-15T20:46:33.197802Z digest=sha256:7a2787a76b239f72b2b215f112da8d66e80fa1652766323e4dfda240fca69d4e

Observation 8f121ed8-d32b-4dba-a88e-0688645a18aa · outbound

This paper cites Lutwak, D.

On the $m$th order $p$-affine capacity Lutwak, D

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:33.817843Z

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.

source=pdf_text observed=2026-08-15T20:46:33.201727Z digest=sha256:1b47b1964c53584cf393082acc125d3d5bffd1381fe85e15737a63c58c04d19f

Observation ea68f796-a676-4ce7-8821-d0f0d4d4f30a · outbound

This paper cites Lutwak, D.

On the $m$th order $p$-affine capacity Lutwak, D

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:33.807150Z

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.

source=pdf_text observed=2026-08-15T20:46:33.205549Z digest=sha256:079f1a858f303e0c4a5862839e986e6cde4e47e9d1831a88d71db619eb5c2cb2

Observation b653c051-1009-45be-b031-827a00fd8fbc · outbound

This paper cites Lutwak, D.

On the $m$th order $p$-affine capacity Lutwak, D

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:33.797173Z

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.

source=pdf_text observed=2026-08-15T20:46:33.209026Z digest=sha256:3851b327d58aa653a93b7750fa21cd5b357c7543919049319648c5b063ba2604

Observation 4c4a4a12-ecf6-495e-95cf-e4a7fa809d78 · outbound

This paper cites Maz’ya, Classes of domains and imbedding theorems for function spaces, Dokl.

On the $m$th order $p$-affine capacity Maz’ya, Classes of domains and imbedding theorems for function spaces, Dokl

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:33.787370Z

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.

source=pdf_text observed=2026-08-15T20:46:33.212139Z digest=sha256:3202a0036f233d357dac8e8eb329ecc9df55b53ac6d3cfccc265adc87c3b0d13

Observation a80712a3-3293-4eff-9a08-d2661fd50a15 · outbound

This paper cites Maz’ya, Sobolev Spaces, Springer, Berlin, (1985).

On the $m$th order $p$-affine capacity Maz’ya, Sobolev Spaces, Springer, Berlin, (1985)

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:33.777709Z

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.

source=pdf_text observed=2026-08-15T20:46:33.215983Z digest=sha256:704a9ec044b7e03447cb90fcc3a9ebc9007cb0d1fa7cc6a4231a59a38102fb68

Observation c2968eeb-130b-4a90-aaab-ce890f38a094 · outbound

This paper cites Maz’ya, Sobolev Spaces with Applications to Elliptic Partial Differential Equations , 2nd edn.

On the $m$th order $p$-affine capacity Maz’ya, Sobolev Spaces with Applications to Elliptic Partial Differential Equations , 2nd edn

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:33.767386Z

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.

source=pdf_text observed=2026-08-15T20:46:33.219772Z digest=sha256:062f9c42462b89793b131c84076da8e94c42ae85aaa5dc99f3ec44da6f430bc5

Observation bf357c4a-fcce-4745-aa4e-6b57591f11ce · outbound

This paper cites an unresolved cited work.

On the $m$th order $p$-affine capacity Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:46:33.757221Z

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.

source=pdf_text observed=2026-08-15T20:46:33.223159Z digest=sha256:33524cd9d9af1986aa8314252db3ddfe86b16d762263c7ae59725572b26da72e

Observation 5bb6ed78-e6f5-4d53-9e44-7b27fc5c7578 · outbound

This paper cites an unresolved cited work.

On the $m$th order $p$-affine capacity Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:46:33.746348Z

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.

source=pdf_text observed=2026-08-15T20:46:33.226454Z digest=sha256:c4ab18160c50a06eda8bac1ef4c23a26eadf8bec171ba6cffa4b00aaeb97f5e3

Observation 29ad821e-9401-4125-b596-93b5e63aceea · outbound

This paper cites an unresolved cited work.

On the $m$th order $p$-affine capacity Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:46:33.735463Z

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.

source=pdf_text observed=2026-08-15T20:46:33.229712Z digest=sha256:95973ac65dfabf1057780df8add202b02ec320ee45b385cf4f9c8293c613af77

Observation 9ebdbad8-3a11-4abb-8ff9-2e7486fa4c92 · outbound

This paper cites Schneider, Eine verallgemeinerung des differenzenk¨ orpers, Monatsh.

On the $m$th order $p$-affine capacity Schneider, Eine verallgemeinerung des differenzenk¨ orpers, Monatsh

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:33.724567Z

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.

source=pdf_text observed=2026-08-15T20:46:33.233079Z digest=sha256:81923a8159bef368ddbb6d322981d6bb50d756d21990d1dfff7d934598aa201e

Observation b65e9153-978b-464e-afd2-b20d6a4cf7b6 · outbound

This paper cites Schneider, Convex Bodies: The Brunn-Minkowski Theory , Second edition, Encyclopedia of Mathematics and its Applications, Cambridge University Press, Cambridge, (2014).

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:33.713711Z

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.

source=pdf_text observed=2026-08-15T20:46:33.236450Z digest=sha256:e2bd1258feef5a0672032d9287faa44a59481f62c2bbc2136e2c779d554409ec

Observation 1fe77f64-2645-4eab-8ee3-ad7e55fc8425 · outbound

This paper cites On general versions of the Petty projection inequality.

On the $m$th order $p$-affine capacity On general versions of the Petty projection inequality

Reference 50

Resolution
verified exact
local_arxiv, observed 2026-08-15T20:46:33.345668Z

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.

source=pdf_text observed=2026-08-15T20:46:33.239914Z digest=sha256:53121dd29053ceda494b76a521edf85e95b185bcb3d004b84a0c55b696c07470

Observation e35346d5-90cc-4840-b886-eeff824cab43 · outbound

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

On the $m$th order $p$-affine capacity Talenti, Best constant in Sobolev inequality, Ann

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:33.702981Z

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.

source=pdf_text observed=2026-08-15T20:46:33.243348Z digest=sha256:940b9a946d19bce29b0ef574ae471eb7017cdb117aced44fde8fb5ee52fcddad

Observation 7758b491-e195-4035-9fd3-7081cac4ad9a · outbound

This paper cites Wang, The affine Sobolev-Zhang inequality onBV (Rn), Adv.

On the $m$th order $p$-affine capacity Wang, The affine Sobolev-Zhang inequality onBV (Rn), Adv

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:33.691923Z

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.

source=pdf_text observed=2026-08-15T20:46:33.246900Z digest=sha256:0243337699e7e6b8d776554685cdbefddfd48785802dd23881e919ee6014f38b

Observation 6bab1c70-6797-4fd4-9532-877610b6687a · outbound

This paper cites Wang, The affine P´ olya-Szeg¨ o principle: equality cases and stability, J.

On the $m$th order $p$-affine capacity Wang, The affine P´ olya-Szeg¨ o principle: equality cases and stability, J

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:33.681050Z

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.

source=pdf_text observed=2026-08-15T20:46:33.250525Z digest=sha256:f2c3d5f5ff74b684a192645fadff3415de4d2ac87a122d89470ae168fce143e8

Observation 554e6d0e-31ab-4cb2-b39e-83a061909a1a · outbound

This paper cites Wang, On the discrete functionalLp Minkowski problem, Int.

On the $m$th order $p$-affine capacity Wang, On the discrete functionalLp Minkowski problem, Int

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:33.670419Z

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.

source=pdf_text observed=2026-08-15T20:46:33.254407Z digest=sha256:076e25182d8cd71be7524f5eb4764812ccb8cc7f5b6f04026f6d8b3b62bddaef

Observation 2681800f-15a3-46cc-a1ae-c48bb303920a · outbound

This paper cites The sharp Sobolev and isoperimetric inequalities split twice.

On the $m$th order $p$-affine capacity The sharp Sobolev and isoperimetric inequalities split twice

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:33.659929Z

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.

source=pdf_text observed=2026-08-15T20:46:33.257940Z digest=sha256:7757072a902c2b721ce1a2ea8cda243922e750800316e2b9fdcf8e13c2bb24a4

Observation fad1a329-5b63-4179-b031-b0275f85d9af · outbound

This paper cites Xiao, The p-affine capacity, J.

On the $m$th order $p$-affine capacity Xiao, The p-affine capacity, J

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:33.649247Z

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.

source=pdf_text observed=2026-08-15T20:46:33.261224Z digest=sha256:1e7bb94a6b641c28e1529cc020e3f0c2b64c3a1d013a730e7c344ca5e5101e1b

Observation 8348a531-b4af-41e2-a9c9-34232a76025b · outbound

This paper cites Xiao, The p-affine capacity redux, J.

On the $m$th order $p$-affine capacity Xiao, The p-affine capacity redux, J

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:33.636734Z

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.

source=pdf_text observed=2026-08-15T20:46:33.264909Z digest=sha256:69bc03776c748ffe296dfdddacb4e54cf8f15fea47d083d2583d1cb39c5a2947

Observation d8bf1974-a436-41e4-8617-f2223f5c90fd · outbound

This paper cites Xiao and N.

On the $m$th order $p$-affine capacity Xiao and N

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:33.624555Z

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.

source=pdf_text observed=2026-08-15T20:46:33.268822Z digest=sha256:c271c5ba077c1cff2413e5e67155c0bbda0eb8158337b5c65d1afc1bfdedb6d2

Observation a0ed6128-7e65-4b0f-b041-6ea724c8bd4d · outbound

This paper cites Xiong, J.

On the $m$th order $p$-affine capacity Xiong, J

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:33.613842Z

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.

source=pdf_text observed=2026-08-15T20:46:33.272502Z digest=sha256:8b07da9a0ce193836e5043dcdf85d951d01221a01c13ede1f84173c2d6e9ce1c

Observation 65abf7ab-57d3-4e99-9ac2-6acb2fbfa774 · outbound

This paper cites Zhang, The affine Sobolev inequality , J.

On the $m$th order $p$-affine capacity Zhang, The affine Sobolev inequality , J

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:33.602870Z

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.

source=pdf_text observed=2026-08-15T20:46:33.276381Z digest=sha256:17b175be0f9cec02ebc39b0265228d7e4375e92f65b1165ceeb2748b8d30bb94

Observation 95956bd7-725a-46cb-826c-881e01932f1d · outbound

This paper cites The $m$th order Orlicz projection bodies.

On the $m$th order $p$-affine capacity The $m$th order Orlicz projection bodies

Reference 61

Resolution
verified exact
local_arxiv, observed 2026-08-15T20:46:33.327016Z

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.

source=pdf_text observed=2026-08-15T20:46:33.279829Z digest=sha256:5a741f084bf10d75cdf4a2071d977659c15fb1e2a2af719b0ad26b91291cba49

Observation ca597718-3d4d-408e-aea6-0d50ac3e9244 · outbound

This paper cites Zou and G.

On the $m$th order $p$-affine capacity Zou and G

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:33.592216Z

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.

source=pdf_text observed=2026-08-15T20:46:33.284487Z digest=sha256:4df8ba62d27762d267c7f081f1662c11e3faf58ab4b3ebe17b2563e747a3fbf8

Observation b13b27f7-45e1-45fd-883b-bef75b3d9b3d · outbound

This paper cites Zou and G.

On the $m$th order $p$-affine capacity Zou and G

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:46:33.581962Z

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.

source=pdf_text observed=2026-08-15T20:46:33.288004Z digest=sha256:55035ad746324428b103d0fcab43c291f1563b624b105e814d53a30c6e09d2c3

Pith citing papers

No inbound Pith citation observations are available.