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Paper Citation Record · LEDGER

The Logarithmic Minkowski Problem

As of 17 August 2026, this Paper Citation Record lists 64 of 64 outbound references and 1 inbound Pith citation observation for arXiv:2502.05430.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2502.05430 v1

Coverage vector

measured 64 of 64 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T19:28:31.559693Z

measured 65 of 65 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:49:48.821270Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-15T19:49:49.380348Z

Reference resolution

64 of 64 outbound references displayed

  • verified exact1
  • verified fuzzy55
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d8ba3600-3263-4b4b-86eb-1eff58feae6e · outbound

This paper cites Alexandrov, Existence and uniqueness of a convex surface with a given int egral curvature, C.

The Logarithmic Minkowski Problem Alexandrov, Existence and uniqueness of a convex surface with a given int egral curvature, C

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:34.081448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:30.488732Z digest=sha256:6221c5c9968a83606dd0e6144c7ce7871f9419f3da952cb54c2888e2b72ff579

Observation 48963f9b-3fb1-45c2-8404-8ca04de1fad2 · outbound

This paper cites Andrews, Gauss curvature flow: the fate of the rolling stones , Invent.

The Logarithmic Minkowski Problem Andrews, Gauss curvature flow: the fate of the rolling stones , Invent

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:33.958226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:30.524887Z digest=sha256:5eb1c5c70e92129eb3c016ff611c83b07de25a6dc47e364d44c8788a39109585

Observation a935c14e-4184-4471-895d-d4c7bb8f936f · outbound

This paper cites Andrews, Classification of limiting shapes for isotropic curve flows , J.

The Logarithmic Minkowski Problem Andrews, Classification of limiting shapes for isotropic curve flows , J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:33.944369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:30.653052Z digest=sha256:3fec306eaad2739c57fd7e4d25ae522a89873c42a780cce8ff8888fe277209ce

Observation 76087779-e530-45d3-8fd3-2ed0960d88da · outbound

This paper cites Barthe, O.

The Logarithmic Minkowski Problem Barthe, O

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:33.930606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:30.687442Z digest=sha256:eccea8836895483e9516f598a50706c2dbfe4d46945c8c0c7c69bfe60c530957

Observation bc912bbf-be31-47f8-9817-262b76dca1e4 · outbound

This paper cites Caffarelli, Interior W 2,p-estimates for solutions of the Monge-Amp` ere equation , Ann.

The Logarithmic Minkowski Problem Caffarelli, Interior W 2,p-estimates for solutions of the Monge-Amp` ere equation , Ann

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:33.910345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:30.746508Z digest=sha256:589cf63a14cbbde3f7ec258219dc6f88596c2edfb2c2a653702dd6ec6f344ee7

Observation 9a811e30-a52a-41fa-a545-1c4675591a3a · outbound

This paper cites Campi and P.

The Logarithmic Minkowski Problem Campi and P

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:33.896082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:30.790238Z digest=sha256:ba57366e5850bba40e5d443d968724cdd908c6508bbed11587704777711c8851

Observation f54f43bf-e616-4af6-b6f1-e3ce33cbe875 · outbound

This paper cites Chen, Lp Minkowski problem with not necessarily positive data , Adv.

The Logarithmic Minkowski Problem Chen, Lp Minkowski problem with not necessarily positive data , Adv

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:33.881831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:30.832937Z digest=sha256:2a2fabecbdf4f3e1ac223799f4339bfa1e0a09e674eda1a0a38e0aea48fd28d1

Observation a021864b-f884-4acf-a570-5e27f19efa12 · outbound

This paper cites Cheng and S.-T.

The Logarithmic Minkowski Problem Cheng and S.-T

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:33.867013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:30.887868Z digest=sha256:87d00577d3a037ad5c6dd298aef574a004f6f99d9adbce4260dc34c92974f30c

Observation 5e8fbfcd-40f9-4889-81c6-413151a6aa76 · outbound

This paper cites an unresolved cited work.

The Logarithmic Minkowski Problem Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-08T19:28:33.853691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:30.892688Z digest=sha256:f5de1154e87c0229b523199c6c2666fcb837b0225dcaa2da949df6ef8eff18ab

Observation 731d85f2-63ba-478c-85db-00c9b08ec663 · outbound

This paper cites Chou and X.-J.

The Logarithmic Minkowski Problem Chou and X.-J

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:33.839586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:30.897559Z digest=sha256:1bc86976f68c2ba8d331762cfdc581296e345263b9ffca0cdfc996f1b1b29859

Observation 7c11aea2-66e8-4937-9a8f-3322efa83e49 · outbound

This paper cites Chow, Deforming convex hypersurfaces by the nth root of the Gaussian curvature , J.

The Logarithmic Minkowski Problem Chow, Deforming convex hypersurfaces by the nth root of the Gaussian curvature , J

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:33.737759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:30.901595Z digest=sha256:b7852f17b7c3019ed124dde4f4f1a8e86736012f706fdc3182c595593cc07ad5

Observation a62a2de4-0f4e-4ed2-9eb7-462f13e00610 · outbound

This paper cites Cianchi, E.

The Logarithmic Minkowski Problem Cianchi, E

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:33.560985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:30.906276Z digest=sha256:26d3ebf2e7124803012ffc42d06f134481b3368a21c8248e29ea1ae0bb785c2f

Observation 3ca2585a-aab7-47d3-a75e-1321f266c23e · outbound

This paper cites Colesanti, M.

The Logarithmic Minkowski Problem Colesanti, M

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:33.437461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:30.910473Z digest=sha256:c3495add56f206a6d8972631b94ca093f3c3677df54fc2c6fae606065874b162

Observation 2a364e92-ed13-4b6b-a683-de7aa18efff7 · outbound

This paper cites Firey, Shapes of worn stones , Mathematika 21 (1974), 1–11.

The Logarithmic Minkowski Problem Firey, Shapes of worn stones , Mathematika 21 (1974), 1–11

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:33.423562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:30.914564Z digest=sha256:252513007888eb4b7662fa589a64fd99dbcb31eb7efc6f1864896d89088de329

Observation b60e9bd9-6432-4649-ae8d-c62977a398c0 · outbound

This paper cites Gage and R.

The Logarithmic Minkowski Problem Gage and R

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:33.408021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:30.918952Z digest=sha256:0bb048d9706cd4b2fcdc9a9aa72fa2c7351d0425c2a598b158e042d5d613d446

Observation 067a34e9-c378-4cd8-9536-2a110063c033 · outbound

This paper cites Gardner, Geometric Tomography, 2nd edition, Encyclopedia of Mathematics and its Applica- tions, Cambridge University Press, Cambridge, 2006.

The Logarithmic Minkowski Problem Gardner, Geometric Tomography, 2nd edition, Encyclopedia of Mathematics and its Applica- tions, Cambridge University Press, Cambridge, 2006

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:33.393410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:30.924002Z digest=sha256:edce4d16238087a768a6a568adcf9aeb79609e18c5da175c7f14441aad6474fa

Observation fcb00443-c70e-4a2b-a5ca-f56b5ce007b5 · outbound

This paper cites Gardner, The Brunn-Minkowski inequality , Bull.

The Logarithmic Minkowski Problem Gardner, The Brunn-Minkowski inequality , Bull

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:33.378861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:30.928890Z digest=sha256:8ad4b1ed77bfa7af32862f8f4ade6055d8c3dbcec8cfdab764ca54ace679f05b

Observation bd54279f-f8a4-422d-b961-b42ec250bf79 · outbound

This paper cites Gardner and G.

The Logarithmic Minkowski Problem Gardner and G

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:33.364808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:30.933804Z digest=sha256:c51ed77a35e6d46c4be7a29149cfde05cf9c0ce61bdd5b3fec98a6852fb20ddd

Observation b613c77f-e424-41fd-92d5-fb382ee7450f · outbound

This paper cites Gromov and V.D.

The Logarithmic Minkowski Problem Gromov and V.D

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:33.351201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:30.939356Z digest=sha256:7f8083e67fd68245fa8744087fdb5cd6506efda3d0d885ae6986b6dcf200a189

Observation f194ad2f-0cc9-4674-a0c0-3e4499ebf30e · outbound

This paper cites Gruber, Convex and discrete geometry , Grundlehren der Mathematischen Wissenschaften, 336.

The Logarithmic Minkowski Problem Gruber, Convex and discrete geometry , Grundlehren der Mathematischen Wissenschaften, 336

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:33.338017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:30.944079Z digest=sha256:a62ff069cef55f057a67c8a005f03bd342239dc8cb2229d6f6528b08c869b2c4

Observation 83957b2d-1e70-4392-8e5f-2fe4f1bd82da · outbound

This paper cites Guan and P.

The Logarithmic Minkowski Problem Guan and P

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:33.323794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:30.948735Z digest=sha256:d63ce92c662f87c7f237e9f747a1510ba1f335c66ee2ceecb3a86919841c2815

Observation cc353a82-c72c-4149-9b36-35126c26de7d · outbound

This paper cites Guan and C.-S.

The Logarithmic Minkowski Problem Guan and C.-S

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:33.248198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:30.954136Z digest=sha256:b5c2123532e96fa0d483fc195e8b8f0befd79e2795a5baedbed3adb912586ab5

Observation ddb80e0d-1b98-4aa8-9519-cf649997196a · outbound

This paper cites Guan and X.

The Logarithmic Minkowski Problem Guan and X

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:33.113259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:30.964741Z digest=sha256:9d3b4c67c1f04ef1b6cef46e804907f57ec64796149dae9d342dc94a7ddce18f

Observation 66381872-47b2-40dd-86ba-ad512d1fafc5 · outbound

This paper cites Haberl, E.

The Logarithmic Minkowski Problem Haberl, E

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:33.000680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:30.970361Z digest=sha256:aff328e93080aa1ff3ef9a4f1979a2cfbaa84acf8f8ced2b1bf644f00e869b5a

Observation 13715bde-e4de-45d3-aa56-43785b7e0a3b · outbound

This paper cites Haberl and F.

The Logarithmic Minkowski Problem Haberl and F

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:32.986340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:30.975513Z digest=sha256:c4ff15936c0ac4cd3c87b375ff9d45d37532ba5895ac4fde97215560e0f2d2bd

Observation 19a19da1-a14f-4665-936e-e84ce911d52c · outbound

This paper cites Haberl and F.

The Logarithmic Minkowski Problem Haberl and F

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:32.972298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:30.981637Z digest=sha256:b16973a9455d1679afa825701c0dc6ef556fb4f4d3a0a1bfe09b8590df717fb1

Observation 7cfe0976-3eac-4c02-a30e-71b6efe7b56f · outbound

This paper cites Haberl, F.

The Logarithmic Minkowski Problem Haberl, F

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:32.958003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:30.987664Z digest=sha256:1f385b9bb5006f406c5e79a59f2d154f51a3f24d1525659e50567ac3196065ba

Observation 28f5962b-c5e8-474b-98e7-e6bb1250669e · outbound

This paper cites an unresolved cited work.

The Logarithmic Minkowski Problem Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-08T19:28:32.943371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:30.997447Z digest=sha256:18e5795aba4cb3e83439ad914208b972bdd3f9772333b903fcee4c3046f23f34

Observation e8ed5d90-61f5-4266-95ec-94bf4b6e5673 · outbound

This paper cites an unresolved cited work.

The Logarithmic Minkowski Problem Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-08T19:28:32.929183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:31.020451Z digest=sha256:9383197573b45ba37ff44fdea2b0f90811e28dd3f7b852c7664a688365440621

Observation bfadcd1f-8140-4d73-b4a2-2f3eab5a4c69 · outbound

This paper cites an unresolved cited work.

The Logarithmic Minkowski Problem Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-08T19:28:32.915054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:31.026105Z digest=sha256:abf2d6e9eebd317ad9bdde5a99c1215730a9aacac742e0a6157a164c7c67432c

Observation e7591eda-e441-4fc5-a5ae-e9e329d6d2cf · outbound

This paper cites Jerison, A Minkowski problem for electrostatic capacity , Acta Math.

The Logarithmic Minkowski Problem Jerison, A Minkowski problem for electrostatic capacity , Acta Math

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:32.900551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:31.030399Z digest=sha256:69319daafdac3516ed38b2bc91b83f952cd62ecd598421097a089ff51002e1ae

Observation e87d7935-3df9-43d1-85a4-f17bda1a0324 · outbound

This paper cites an unresolved cited work.

The Logarithmic Minkowski Problem Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-08T19:28:32.885878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:31.034944Z digest=sha256:e5a8ddd49c620988e68e510f2f51a42d632610f83e74a25e0e13be4949499b4b

Observation 42433f50-6693-43cd-b287-d0f579288475 · outbound

This paper cites John, Polar correspondence with respect to a convex region , Duke Math.

The Logarithmic Minkowski Problem John, Polar correspondence with respect to a convex region , Duke Math

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:32.871959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:31.068772Z digest=sha256:0d4ec4e5ef9635b0186443ead558cf8850f3c92da10ecdc0e8f296e47f567f84

Observation c0fad77e-5cac-4bf9-a05a-c508d1b63e17 · outbound

This paper cites Klain, The Minkowski problem for polytopes , Adv.

The Logarithmic Minkowski Problem Klain, The Minkowski problem for polytopes , Adv

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:32.857594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:31.100820Z digest=sha256:4f5c340ac16787cd1aac2574dfb1e479b9ffd0fdf5b50fe5d7ddbc005c1a94dc

Observation 70de14ff-834b-4820-8d21-8c13688e2c6c · outbound

This paper cites Lewy, On differential geometry in the large, I, (Minkowski problem ), Trans.

The Logarithmic Minkowski Problem Lewy, On differential geometry in the large, I, (Minkowski problem ), Trans

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:32.756130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:31.154736Z digest=sha256:b27bbd853585fced3b3063ace0caadbc2a143d8a0447a2424d2c63d9bf5a4455

Observation 5de440ca-0187-47cc-a4a0-0a1e4b356a50 · outbound

This paper cites Ludwig, Ellipsoids and matrix-valued valuations , Duke Math.

The Logarithmic Minkowski Problem Ludwig, Ellipsoids and matrix-valued valuations , Duke Math

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:32.611825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:31.260997Z digest=sha256:1c2d307c74f9b425f9ccaa4822eaefcb6a2848e8fc64ad7163bda826b73961dd

Observation 3eb67682-fab4-4452-b348-1acdbaaf52f1 · outbound

This paper cites Ludwig, General affine surface areas , Adv.

The Logarithmic Minkowski Problem Ludwig, General affine surface areas , Adv

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:32.510404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:31.351577Z digest=sha256:897a68767dffe7a9e9760df998d5a70e70ee44ca75bf3a8c0e322ceda4cf298d

Observation 11565397-3527-4a3d-b822-80da8c8e0d28 · outbound

This paper cites Ludwig and M.

The Logarithmic Minkowski Problem Ludwig and M

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:32.466464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:31.451544Z digest=sha256:f6b564040e2922856fb7751ed6bc3e8e850c714a27c525a6a20b070b6aec3e7d

Observation 1a2fb5f9-76ec-4efd-bb68-097601e17ac0 · outbound

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

The Logarithmic Minkowski Problem Lutwak, The Brunn-Minkowski-Firey theory

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:32.452804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:31.455957Z digest=sha256:35695ddbf904878fb54c165ad8bc7542f28b79190dbae4c2d212e22322d4be8a

Observation e030b54d-27ad-485e-b9ec-c6abfa7eed57 · outbound

This paper cites Lutwak and V.

The Logarithmic Minkowski Problem Lutwak and V

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:32.439580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:31.460326Z digest=sha256:23488c79938b0ebd94f44fc15c1bb4af2e4f93a8130c20bacb0a10e158ad1f87

Observation 875e629e-d5c0-4f33-ba35-2860b70a3ffd · outbound

This paper cites Lutwak, D.

The Logarithmic Minkowski Problem Lutwak, D

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:32.425607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:31.464357Z digest=sha256:d64ba4bcc29446130f5ef68638f86c100d665909edfafdb5bb09fda026b293bf

Observation ce04373d-01a8-4268-b20b-36197c7f3d5b · outbound

This paper cites Lutwak, D.

The Logarithmic Minkowski Problem Lutwak, D

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:32.410407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:31.468091Z digest=sha256:4542e2645f2136fb9d4c2866996c2ccf988fce0af1803c664ce6f576524c52c2

Observation 07116385-97ee-416f-8ccd-d88abfd66c66 · outbound

This paper cites Lutwak, D.

The Logarithmic Minkowski Problem Lutwak, D

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:32.394523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:31.472152Z digest=sha256:981981f4e6fa87198063c371c5198a963e2a95184794f93ef1847bae1d10d98f

Observation fab58d7b-551e-4c1e-a40c-bf9eff4bf0ed · outbound

This paper cites Lutwak, D.

The Logarithmic Minkowski Problem Lutwak, D

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:32.380209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:31.476241Z digest=sha256:bdd2ac0d4a681840eb409a2d04d8c1368b62d03cf19105b055bf8701dce4e625

Observation 85d2284a-6751-4310-a19a-a365c0ba8480 · outbound

This paper cites Lutwak, D.

The Logarithmic Minkowski Problem Lutwak, D

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:32.366036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:31.480784Z digest=sha256:a780647c66b47f6aad0541ab36d494ea3a065bea5cced510104210b1296ae0c5

Observation 9abd5615-f977-4103-a5b5-179fc0b67c49 · outbound

This paper cites Lutwak, D.

The Logarithmic Minkowski Problem Lutwak, D

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:32.352176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:31.484900Z digest=sha256:88444698f6f758388270baab1702e6a5e8c4a74387fda9c5d405408769a5551a

Observation 3d2a25b7-597b-4f6a-a1df-fc5cd3c6d3b5 · outbound

This paper cites Lutwak, D.

The Logarithmic Minkowski Problem Lutwak, D

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:32.337532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:31.488443Z digest=sha256:fd11f153d2f12fa50ec290cfc2bb65e4d3225a116f0c7c84e17d51a3dd6f089d

Observation 0990c428-36f7-4f91-8eea-951669ce4cba · outbound

This paper cites Lutwak and G.

The Logarithmic Minkowski Problem Lutwak and G

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-08T19:28:31.492456Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T19:28:31.492456Z digest=sha256:18bb2f6efab849c9040eb494c8ac17b7e78f36dbcf0ae281b78816c249d2b6c9

Observation b12fcef5-d88e-4b5e-adb0-999bcc0d6967 · outbound

This paper cites Minkowski, Allgemeine Lehrs¨ atze ¨ uber die convexen Polyeder, Nachr.

The Logarithmic Minkowski Problem Minkowski, Allgemeine Lehrs¨ atze ¨ uber die convexen Polyeder, Nachr

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:32.249872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:31.496676Z digest=sha256:3ce7366f699f5c43cdd23733869776601297ebbf4931dcc2273faf857c0a4f15

Observation 1882bfdb-8c84-42cf-ab8e-cc961790aad7 · outbound

This paper cites Naor, The surface measure and cone measure on the sphere of ln p , Trans.

The Logarithmic Minkowski Problem Naor, The surface measure and cone measure on the sphere of ln p , Trans

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:31.982016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:31.505635Z digest=sha256:56c75b0b0568643b82470e0d5cb963324d00416bf2b00e65dcab73d015014751

Observation efa8b01b-c5d0-4b53-8bc9-68a261472083 · outbound

This paper cites Naor and D.

The Logarithmic Minkowski Problem Naor and D

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:31.967877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:31.509911Z digest=sha256:12cfebf4dc8344b4f07c29a616aca0d987ccd66d9dd423d36badd50a9074b2d8

Observation f535a9fa-3f97-4227-8d8c-75a697b5b0f2 · outbound

This paper cites Nirenberg, The Weyl and Minkowski problems in differential geometry in t he large, Comm.

The Logarithmic Minkowski Problem Nirenberg, The Weyl and Minkowski problems in differential geometry in t he large, Comm

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:31.951873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:31.513939Z digest=sha256:d1438f7eb8ae738bf0bc1b8a5976ecc890f81a739430168609bb4f01658d022b

Observation 40f8f072-7faf-4ed1-a558-731e6beb0e78 · outbound

This paper cites Paouris, Concentration of mass on convex bodies , Geom.

The Logarithmic Minkowski Problem Paouris, Concentration of mass on convex bodies , Geom

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:31.937997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:31.518064Z digest=sha256:e575cf9b8369c54bc4deac23341e6dded5535a0ac8add463bb7b5881c3798d81

Observation 59b5cbab-f9aa-4dbb-bbe6-060b2afdcf2c · outbound

This paper cites Paouris and E.

The Logarithmic Minkowski Problem Paouris and E

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:31.922173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:31.522141Z digest=sha256:9f5913da7b428bf224c4cba15efdc49d024da324d5d8cb3b503d2481c4edf981

Observation 8eaab4c1-c3a1-4e23-b52f-58198a00a578 · outbound

This paper cites Pogorelov, The Minkowski multidimensional problem , V.H.

The Logarithmic Minkowski Problem Pogorelov, The Minkowski multidimensional problem , V.H

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:31.907067Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:31.526273Z digest=sha256:7ab43a06e30c0fef7917584135d9587e4fd3c49d3fab9c5e0f3673b811d8ca01

Observation b350fd0f-9f20-4358-8e50-6a552a8eeda3 · outbound

This paper cites Schneider, Convex bodies: the Brunn-Minkowski theory , Encyclopedia of Mathematics and its Applications, Cambridge University Press, Cambridge, 1993.

The Logarithmic Minkowski Problem Schneider, Convex bodies: the Brunn-Minkowski theory , Encyclopedia of Mathematics and its Applications, Cambridge University Press, Cambridge, 1993

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:31.892130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:31.531330Z digest=sha256:5734e579566dd3eac12a8d0d1f06c48c2ed3b0be00937060ce55b936d5776b3d

Observation f2c8c835-9c6e-40e2-a156-8c0723d24c82 · outbound

This paper cites Stancu, The discrete planar L0-Minkowski problem, Adv.

The Logarithmic Minkowski Problem Stancu, The discrete planar L0-Minkowski problem, Adv

Reference 57

Resolution
unresolved
no resolver link, observed 2026-08-08T19:28:31.535535Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T19:28:31.535535Z digest=sha256:7673282dd1bb6f3ae7ae20a5cab1cc7c3ef78a121d75cc40ac0da8c0f1db8538

Observation c80e877c-94e9-4396-bcc3-83f0afb03904 · outbound

This paper cites Stancu, On the number of solutions to the discrete two-dimensional L0-Minkowski problem, Adv.

The Logarithmic Minkowski Problem Stancu, On the number of solutions to the discrete two-dimensional L0-Minkowski problem, Adv

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:31.865699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:31.539561Z digest=sha256:8be76dc81f23be702d1b8a545e66c003d5e6188eb084b164ec3b31f1b46c895d

Observation f394bb8c-5040-4af5-9477-c885b23ac5e2 · outbound

This paper cites Stancu, Centro-affine invariants for smooth convex bodies , Int.

The Logarithmic Minkowski Problem Stancu, Centro-affine invariants for smooth convex bodies , Int

Reference 59

Resolution
verified exact
doi, observed 2026-08-08T19:28:31.597145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:31.543606Z digest=sha256:b5d0173070491e1266bf12b729ac2153f4286e0d27b50806c5321dd12c106e03

Observation c6e0ddd7-6196-4bc4-b79b-d27a1f84d994 · outbound

This paper cites an unresolved cited work.

The Logarithmic Minkowski Problem Unresolved cited work

Reference 60

Resolution
unresolved
raw_fallback, observed 2026-08-08T19:28:31.850854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:31.547680Z digest=sha256:86afac6378f27cdc773f4f50e5cd9474a5216167ce07945e31a73fafe198af22

Observation d8d154e0-e1f3-490a-88e0-cecbfab3cf0c · outbound

This paper cites Umanskiy, On solvability of two-dimensional Lp-Minkowski problem , Adv.

The Logarithmic Minkowski Problem Umanskiy, On solvability of two-dimensional Lp-Minkowski problem , Adv

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:31.837099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:31.551392Z digest=sha256:6f78b7f688f6f907168392a97dcb1d64aa82adbf5c15f47cff073a2d7103dfe1

Observation fabda3f6-3b0b-442a-8ea4-56d0db4632e3 · outbound

This paper cites Xiong, Extremum problems for the cone volume functional for convex polytopes, Adv.

The Logarithmic Minkowski Problem Xiong, Extremum problems for the cone volume functional for convex polytopes, Adv

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:31.752951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:31.555500Z digest=sha256:a490d682559fdbcf1cb7c9db2245618fe4828c71d79be5406ae0de9226a8494b

Observation 457ad2d1-b4fe-4298-a480-3ab3a8e4fc6e · outbound

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

The Logarithmic Minkowski Problem Zhang, The affine Sobolev inequality , J

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:31.620562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:31.559693Z digest=sha256:341ed90e0ae596e219d256abaaf595d351e55cb02755f22c3769fb73d09d5c09

Observation 18ab116d-ae8f-43d5-8d02-da17716a41d5 · outbound

This paper cites II, Teubner, Leipzig, 1911, p p.

The Logarithmic Minkowski Problem II, Teubner, Leipzig, 1911, p p

Reference 219

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:28:32.049953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:28:31.501224Z digest=sha256:349826923e2ac0ac157dc9e1dce6d60845b1c454bef43b483197c2bd202866f4

Pith citing papers

Observation 0a010f34-8a25-429a-b454-5a1985ce1566 · inbound

On polynomial inequalities for cone-volumes of polytopes cites this paper.

On polynomial inequalities for cone-volumes of polytopes The Logarithmic Minkowski Problem

Reference 2025

Resolution
verified exact
local_arxiv, observed 2026-08-15T19:49:49.385413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T19:49:48.821270Z digest=sha256:fb6fd10efcf52246967a0e3e2548f1b5605b55c901342eed6431ded50345e098