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Paper Citation Record · LEDGER

Uniqueness of singular convex hypersurfaces with lower bounded k-th mean curvature

As of 16 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 1 inbound Pith citation observation for arXiv:1908.05952.

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

pith.paper-citation-record.v1
1908.05952 v4

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:14:07.908610Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:14:14.841640Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T11:14:14.923053Z

Reference resolution

31 of 31 outbound references displayed

  • verified exact1
  • verified fuzzy21
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 48cb8c0d-96df-49fd-85dd-b1585ca77b43 · outbound

This paper cites Functions of bounded variation and free discontinuity problems.

Uniqueness of singular convex hypersurfaces with lower bounded k-th mean curvature Functions of bounded variation and free discontinuity problems

Reference 1

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unresolved
no resolver link, observed 2026-08-14T13:14:07.743005Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 3ffab318-9ff6-4663-ad63-c577b567d2f6 · outbound

This paper cites an unresolved cited work.

Uniqueness of singular convex hypersurfaces with lower bounded k-th mean curvature Unresolved cited work

Reference 2

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raw_fallback, observed 2026-08-14T13:14:08.423170Z

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.

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Observation 79dd1b1e-5376-495f-9ae7-f5d34b71add6 · outbound

This paper cites an unresolved cited work.

Uniqueness of singular convex hypersurfaces with lower bounded k-th mean curvature Unresolved cited work

Reference 3

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no resolver link, observed 2026-08-14T13:14:07.755935Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:14:07.755935Z digest=sha256:0fa79c46e15a362923e6df480755b7cec0b1ce06b0fb6025643564374d71bdaf

Observation c27701c2-ec3e-4904-81d6-71586de70f11 · outbound

This paper cites Convex hypersurfaces with bounded first mean curvature measure.

Uniqueness of singular convex hypersurfaces with lower bounded k-th mean curvature Convex hypersurfaces with bounded first mean curvature measure

Reference 4

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verified fuzzy
raw_fallback, observed 2026-08-14T13:14:08.396509Z

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.

source=arxiv_source observed=2026-08-14T13:14:07.761616Z digest=sha256:73c60f7d250389e47ed0d92d9419d305fd56f80baca596229a7d38dc58a75351

Observation 48accb91-912d-47a4-aca0-128e083a0015 · outbound

This paper cites an unresolved cited work.

Uniqueness of singular convex hypersurfaces with lower bounded k-th mean curvature Unresolved cited work

Reference 5

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raw_fallback, observed 2026-08-14T13:14:08.379423Z

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.

source=arxiv_source observed=2026-08-14T13:14:07.769422Z digest=sha256:75fce03bfc27c82d21c2bbe3b98b81e6e633159a9a19f96f5aad0118188d2b8b

Observation 970362fc-1e40-42d0-b832-52e77e3a2879 · outbound

This paper cites Hessian measures of semi-convex functions and applications to support measures of convex bodies.

Uniqueness of singular convex hypersurfaces with lower bounded k-th mean curvature Hessian measures of semi-convex functions and applications to support measures of convex bodies

Reference 6

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raw_fallback, observed 2026-08-14T13:14:08.362845Z

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.

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Observation 2d36bc40-488e-4c79-a0c8-b97500932834 · outbound

This paper cites Alexandrov's theorem revisited.

Uniqueness of singular convex hypersurfaces with lower bounded k-th mean curvature Alexandrov's theorem revisited

Reference 7

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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.

source=arxiv_source observed=2026-08-14T13:14:07.781070Z digest=sha256:1be872097ed327170df3d9ec784c3b838334b545cd00396c9c344ff3c66422ca

Observation 5f6b8b8e-c6e9-4805-bc2c-c102d77839d4 · outbound

This paper cites Curvature measures.

Uniqueness of singular convex hypersurfaces with lower bounded k-th mean curvature Curvature measures

Reference 8

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no resolver link, observed 2026-08-14T13:14:07.786157Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:14:07.786157Z digest=sha256:3f6057e389c61706d35fc5c3cd4e9d8670b886571569385bba52165861d8f3ae

Observation 65c90262-03f6-4e1a-aff6-07886ded5d47 · outbound

This paper cites Geometric measure theory.

Uniqueness of singular convex hypersurfaces with lower bounded k-th mean curvature Geometric measure theory

Reference 9

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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.

source=arxiv_source observed=2026-08-14T13:14:07.791138Z digest=sha256:5afd58f1ebcc809e04cf0d16a16ffdcd0c3084b0bcdbf7623dd8e231ede89660

Observation 029b449a-90d0-4d1a-8851-620e308a0175 · outbound

This paper cites A note on closed convex hypersurfaces with singularities.

Uniqueness of singular convex hypersurfaces with lower bounded k-th mean curvature A note on closed convex hypersurfaces with singularities

Reference 10

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:14:07.796064Z digest=sha256:b1a29d4fd286f063a6b4d2c93cb9666d6be00b4dcb6801ffe89bf5d179244261

Observation 27d71edb-88b5-46ce-a02c-911045da0d6b · outbound

This paper cites Systems of total differential equations and L iouville's theorem on conformal mappings.

Uniqueness of singular convex hypersurfaces with lower bounded k-th mean curvature Systems of total differential equations and L iouville's theorem on conformal mappings

Reference 11

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:14:07.801852Z digest=sha256:e354df1c3da437d7ba78e7f7a64fb02361dc82ed1869bab660ea3a9e0b3bbd70

Observation 9a590407-9ec8-4051-a90d-66c3954491c5 · outbound

This paper cites Does polynomial parallel volume imply convexity? Math.

Uniqueness of singular convex hypersurfaces with lower bounded k-th mean curvature Does polynomial parallel volume imply convexity? Math

Reference 12

Resolution
verified fuzzy
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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.

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Observation 7a4d2f7c-62eb-43a0-b632-377793b2e93f · outbound

This paper cites A local S teiner-type formula for general closed sets and applications.

Uniqueness of singular convex hypersurfaces with lower bounded k-th mean curvature A local S teiner-type formula for general closed sets and applications

Reference 13

Resolution
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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.

source=arxiv_source observed=2026-08-14T13:14:07.811928Z digest=sha256:37661784e04e9446410f473642c2d207a6ca6664b7c18b4c74153717394e4cff

Observation c1d90735-5c70-47cc-8d66-eb0e51395ebd · outbound

This paper cites Absolute continuity for curvature measures of convex sets.

Uniqueness of singular convex hypersurfaces with lower bounded k-th mean curvature Absolute continuity for curvature measures of convex sets

Reference 14

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:14:07.816993Z digest=sha256:70aceeea5bbaf16a7fe655f2309df4942c576a2d0680df16394e205d29a5a09e

Observation a8c35324-7bf2-46fa-94fc-3fbc38bce8b0 · outbound

This paper cites Absolute continuity for curvature measures of convex sets.

Uniqueness of singular convex hypersurfaces with lower bounded k-th mean curvature Absolute continuity for curvature measures of convex sets

Reference 15

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:14:07.823060Z digest=sha256:3fd3543010ed18ee4037de03b7f2a45d4d0ff4aa7779911d66060968fbdeacf3

Observation 50ed9cff-b991-4471-ba26-7b611571fc65 · outbound

This paper cites Absolute continuity for curvature measures of convex sets.

Uniqueness of singular convex hypersurfaces with lower bounded k-th mean curvature Absolute continuity for curvature measures of convex sets

Reference 16

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:14:07.829023Z digest=sha256:a8787656ae0875ec1bfa24d5100c8286396439eee92d60d3ebfa4984cc505d97

Observation 6f446745-07e5-430c-a9e5-51a2726a7cbd · outbound

This paper cites McMullen.

Uniqueness of singular convex hypersurfaces with lower bounded k-th mean curvature McMullen

Reference 17

Resolution
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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.

source=arxiv_source observed=2026-08-14T13:14:07.834715Z digest=sha256:b922a45a1180de163afe5bbf997468036e3aa66a53487bcd791d4e937e05ae45

Observation 8e8add4e-ba09-45de-ae02-9df5b39f77a2 · outbound

This paper cites Compact hypersurfaces: the A lexandrov theorem for higher order mean curvatures.

Uniqueness of singular convex hypersurfaces with lower bounded k-th mean curvature Compact hypersurfaces: the A lexandrov theorem for higher order mean curvatures

Reference 18

Resolution
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:14:07.840978Z digest=sha256:0145cf6ead6bda8dbf72633dd8dc2f395ae242a9de4d3d6eb5e09e62f6efbada

Observation 34f210d2-37d7-4552-9aa2-492fade101d6 · outbound

This paper cites A geometric second-order-rectifiable stratification for closed subsets of E uclidean space.

Uniqueness of singular convex hypersurfaces with lower bounded k-th mean curvature A geometric second-order-rectifiable stratification for closed subsets of E uclidean space

Reference 19

Resolution
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:14:07.846770Z digest=sha256:f6ce5e1312860eb4323fed341bc82f864c249fd65cd00ecee0c60ef107bebdd4

Observation 819dc978-ec8e-442c-a690-76f331b9ffbf · outbound

This paper cites an unresolved cited work.

Uniqueness of singular convex hypersurfaces with lower bounded k-th mean curvature Unresolved cited work

Reference 20

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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.

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Observation 2f092926-92cd-48ba-a79f-34a86447f01d · outbound

This paper cites Fl\" a chen mit lauter N abelpunkten.

Uniqueness of singular convex hypersurfaces with lower bounded k-th mean curvature Fl\" a chen mit lauter N abelpunkten

Reference 21

Resolution
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raw_fallback, observed 2026-08-14T13:14:08.118646Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:14:07.857590Z digest=sha256:f5a3fde25ae4a7e25218fcbc6b3f2451de6946cfef6e5383e18024539063c28c

Observation 89428fab-72c4-4a10-8d27-520ba5da35ba · outbound

This paper cites Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets, 2019.

Uniqueness of singular convex hypersurfaces with lower bounded k-th mean curvature Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets, 2019

Reference 22

Resolution
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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.

source=arxiv_source observed=2026-08-14T13:14:07.862969Z digest=sha256:fcf6584885ec1af823173a22c49a4d9646716dd6613894d10b69b8a580a672aa

Observation a675be60-4a27-4222-a30a-efb3bcd625e3 · outbound

This paper cites Compact hypersurfaces with constant higher order mean curvatures.

Uniqueness of singular convex hypersurfaces with lower bounded k-th mean curvature Compact hypersurfaces with constant higher order mean curvatures

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-14T13:14:07.868112Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:14:07.868112Z digest=sha256:94707fcc730fb9858f4879b24057e2abcb25cd66fe77ef97570070a1f73f4ddc

Observation ea9d8179-6f06-4d7b-b7b2-4683831959d4 · outbound

This paper cites Rectifiability and approximate differentiability of higher order for sets.

Uniqueness of singular convex hypersurfaces with lower bounded k-th mean curvature Rectifiability and approximate differentiability of higher order for sets

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:14:08.087706Z

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.

source=arxiv_source observed=2026-08-14T13:14:07.873260Z digest=sha256:6e2192db8a072039365a664be8e6e73d1ccc5c7621bab68ce7a7aeeba6fa9ca8

Observation d7f4d272-ce87-4695-bc6b-f38f54a629bf · outbound

This paper cites Fine properties of the curvature of arbitrary closed sets.

Uniqueness of singular convex hypersurfaces with lower bounded k-th mean curvature Fine properties of the curvature of arbitrary closed sets

Reference 25

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raw_fallback, observed 2026-08-14T13:14:08.068823Z

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.

source=arxiv_source observed=2026-08-14T13:14:07.878002Z digest=sha256:7d0cc4fc14afb68e12f54f1232a5cd21d14e13ef92dd37af45f0a76f0051eacf

Observation 150ddbfd-7f69-48de-9559-0764f4ee47d2 · outbound

This paper cites Normal bundle and A lmgren's geometric inequality for singular varieties of bounded mean curvature.

Uniqueness of singular convex hypersurfaces with lower bounded k-th mean curvature Normal bundle and A lmgren's geometric inequality for singular varieties of bounded mean curvature

Reference 26

Resolution
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raw_fallback, observed 2026-08-14T13:14:08.050739Z

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.

source=arxiv_source observed=2026-08-14T13:14:07.882813Z digest=sha256:a7e2b663db4364e8728dd69fab692aaa94c8967acb76b8d2f5a3fff89d42152f

Observation 6fec8335-0357-42c7-a9cb-03ff62dfc722 · outbound

This paper cites o rper durch K r\.

Uniqueness of singular convex hypersurfaces with lower bounded k-th mean curvature o rper durch K r\

Reference 27

Resolution
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raw_fallback, observed 2026-08-14T13:14:08.033907Z

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.

source=arxiv_source observed=2026-08-14T13:14:07.887679Z digest=sha256:4304e0a2bf09734d160c87994f16229d6bda7f14d5f2e75e061e4020ee3802fa

Observation 0a800b25-738b-4e89-8fd6-0b66e83d97d1 · outbound

This paper cites Convex bodies: the B runn- M inkowski theory , volume 151 of Encyclopedia of Mathematics and its Applications.

Uniqueness of singular convex hypersurfaces with lower bounded k-th mean curvature Convex bodies: the B runn- M inkowski theory , volume 151 of Encyclopedia of Mathematics and its Applications

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-14T13:14:07.892881Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:14:07.892881Z digest=sha256:85042f48f324c3ccafbfde9e95c8c8c4f3f5ea548afe158d507380e08bd9d2bf

Observation c173a100-58af-42d3-ba9c-272f5ca78ad7 · outbound

This paper cites Curvatures of typical convex bodies---the complete picture.

Uniqueness of singular convex hypersurfaces with lower bounded k-th mean curvature Curvatures of typical convex bodies---the complete picture

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:14:08.004296Z

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.

source=arxiv_source observed=2026-08-14T13:14:07.898362Z digest=sha256:11dbd787b1e857345907fe3196818ca6ea60260320bf7c60b606b5fe10596c53

Observation 9617eda0-6854-4202-868d-cf0af1c86a6c · outbound

This paper cites an unresolved cited work.

Uniqueness of singular convex hypersurfaces with lower bounded k-th mean curvature Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:14:07.984984Z

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.

source=arxiv_source observed=2026-08-14T13:14:07.903610Z digest=sha256:18042a80760232b4023da73a2e94b0b2e00e8d64b38d73ce716fb6f152649ec6

Observation bd92f9e8-8d93-431c-b448-a7b21568a78b · outbound

This paper cites Controlling area blow-up in minimal or bounded mean curvature varieties.

Uniqueness of singular convex hypersurfaces with lower bounded k-th mean curvature Controlling area blow-up in minimal or bounded mean curvature varieties

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:14:07.966721Z

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.

source=arxiv_source observed=2026-08-14T13:14:07.908610Z digest=sha256:0b6b822c406a42375eedb0c4b6d1d605a0700b741517b63fe114ff5e653cab7c

Pith citing papers

Observation 3105140e-13b8-4436-af46-31e6182aeee2 · inbound

Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets cites this paper.

Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets Uniqueness of singular convex hypersurfaces with lower bounded k-th mean curvature

Reference 33

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local_arxiv, observed 2026-08-14T11:14:14.928363Z

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.

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