Paper Citation Record · LEDGER

Contraction Maps Generated by Inverse Mean Curvature Flow

As of 21 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2607.27711.

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

pith.paper-citation-record.v1
2607.27711 v1

Coverage vector

measured 30 of 30 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-01T03:00:11.196667Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

30 of 30 outbound references displayed

verified exact5
verified fuzzy0
unresolved19
parse uncertain0
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External citation measurements

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Outbound references

Observation f2e521b3-6562-431f-8937-81d61c737754 · outbound

This paper cites Andrews,Pinching estimates and motion of hypersurfaces by curvature functions, J.

Contraction Maps Generated by Inverse Mean Curvature Flow Andrews,Pinching estimates and motion of hypersurfaces by curvature functions, J

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T03:00:11.069609Z

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Unavailable: canonical work link unavailable.

Observation 8440d198-89cf-4957-8883-3ccc90f0c684 · outbound

This paper cites Spectral Obstructions to Contracting Transport Maps on Curved Spaces.

Contraction Maps Generated by Inverse Mean Curvature Flow Spectral Obstructions to Contracting Transport Maps on Curved Spaces

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T03:00:11.075056Z

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Observation 0fd83659-8784-4c6e-a1e5-d56656c5a60c · outbound

This paper cites Bertrand,Existence and uniqueness of optimal maps on Alexandrov spaces, Adv.

Contraction Maps Generated by Inverse Mean Curvature Flow Bertrand,Existence and uniqueness of optimal maps on Alexandrov spaces, Adv

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T03:00:11.079831Z

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Observation 03e7eb36-0543-41ab-a0f7-66a23149db31 · outbound

This paper cites Burago, Y.

Contraction Maps Generated by Inverse Mean Curvature Flow Burago, Y

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T03:00:11.084179Z

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Observation fd89ed8a-a5fb-4314-8e91-f3088286f1bd · outbound

This paper cites an unresolved cited work.

Contraction Maps Generated by Inverse Mean Curvature Flow Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T03:00:11.088831Z

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Observation ca213e24-c635-4a6b-9d97-2d040682919d · outbound

This paper cites an unresolved cited work.

Contraction Maps Generated by Inverse Mean Curvature Flow Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T03:00:11.093350Z

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Observation 508d1e41-0f03-459a-b08c-000827247235 · outbound

This paper cites Ge and J.

Contraction Maps Generated by Inverse Mean Curvature Flow Ge and J

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T03:00:11.098283Z

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Observation b2fcac56-0f43-44cf-bdac-622670ba1404 · outbound

This paper cites Gerhardt,Curvature flows in the sphere, J.

Contraction Maps Generated by Inverse Mean Curvature Flow Gerhardt,Curvature flows in the sphere, J

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T03:00:11.102445Z

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Observation 251548cf-bc75-4c57-b988-8e149b4319bb · outbound

This paper cites Gerhardt,Curvature Problems, Series in Geometry and Topology, vol.

Contraction Maps Generated by Inverse Mean Curvature Flow Gerhardt,Curvature Problems, Series in Geometry and Topology, vol

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T03:00:11.106388Z

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Observation 252b39a0-0f5c-4047-90ac-400fd59f08de · outbound

This paper cites Gromov,Metric Structures for Riemannian and Non-Riemannian Spaces, Modern Birkh¨ auser Classics, Birkh¨ auser Boston, Boston, MA, 2007, doi:10.1007/978-0-8176- 4583-0.

Contraction Maps Generated by Inverse Mean Curvature Flow Gromov,Metric Structures for Riemannian and Non-Riemannian Spaces, Modern Birkh¨ auser Classics, Birkh¨ auser Boston, Boston, MA, 2007, doi:10.1007/978-0-8176- 4583-0

Reference 10

Resolution: malformed identifier; no resolver link, observed 2026-08-01T03:00:11.110306Z

Source-reported events for the cited work

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Observation 66073e02-715c-43bb-8577-52f4a5e2af04 · outbound

This paper cites Gimeno i Garcia and F.

Contraction Maps Generated by Inverse Mean Curvature Flow Gimeno i Garcia and F

Reference 11

Resolution: malformed identifier; doi_truncated, observed 2026-08-01T03:01:26.316756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation cb75488f-cab0-4b23-991c-d212356e042c · outbound

This paper cites an unresolved cited work.

Contraction Maps Generated by Inverse Mean Curvature Flow Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T03:00:11.118460Z

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Observation bdad40ef-e1ae-465d-9e91-ccb55833349a · outbound

This paper cites Karpukhin, N.

Contraction Maps Generated by Inverse Mean Curvature Flow Karpukhin, N

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T03:00:11.122717Z

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Observation b6897b2e-f1f7-40e3-887a-f4b899b46aa6 · outbound

This paper cites Kim and E.

Contraction Maps Generated by Inverse Mean Curvature Flow Kim and E

Reference 14

Resolution: malformed identifier; no resolver link, observed 2026-08-01T03:00:11.126874Z

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Observation 01d09426-bc28-4233-a20c-3b57e8c61ecf · outbound

This paper cites Kirchheim,Rectifiable metric spaces: local structure and regularity of the Hausdorff measure, Proc.

Contraction Maps Generated by Inverse Mean Curvature Flow Kirchheim,Rectifiable metric spaces: local structure and regularity of the Hausdorff measure, Proc

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T03:00:11.131253Z

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Observation 7856dbb3-8ce3-41b8-8e47-a3bd30ed5849 · outbound

This paper cites K¨ orber,A free boundary isometric embedding problem in the unit ball, Calc.

Contraction Maps Generated by Inverse Mean Curvature Flow K¨ orber,A free boundary isometric embedding problem in the unit ball, Calc

Reference 16

Resolution: malformed identifier; no resolver link, observed 2026-08-01T03:00:11.135377Z

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Observation 2eae79c1-b3f1-46da-9fc7-4fc984cbb497 · outbound

This paper cites Kupferman, C.

Contraction Maps Generated by Inverse Mean Curvature Flow Kupferman, C

Reference 17

Resolution: malformed identifier; doi_truncated, observed 2026-08-01T03:01:26.087905Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6164c6fd-1c46-4b7d-ae87-73c322838f2e · outbound

This paper cites Kuwae, Y.

Contraction Maps Generated by Inverse Mean Curvature Flow Kuwae, Y

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T03:00:11.143971Z

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Observation cc6e6635-1181-4d12-87ee-404b61bf069d · outbound

This paper cites Lambert and J.

Contraction Maps Generated by Inverse Mean Curvature Flow Lambert and J

Reference 19

Resolution: verified exact; doi, observed 2026-08-01T03:01:25.850791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0dd80275-022d-48c3-afbc-0e7edcecaae2 · outbound

This paper cites Lambert and J.

Contraction Maps Generated by Inverse Mean Curvature Flow Lambert and J

Reference 20

Resolution: verified exact; doi, observed 2026-08-01T03:01:25.615613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9e63e2d0-58ab-46b9-8178-794e00679054 · outbound

This paper cites an unresolved cited work.

Contraction Maps Generated by Inverse Mean Curvature Flow Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T03:00:11.156620Z

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Observation 309fee77-8d56-45cb-96c0-95f3ae19b3ce · outbound

This paper cites Eigenvalues on spheres.

Contraction Maps Generated by Inverse Mean Curvature Flow Eigenvalues on spheres

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T03:00:11.160813Z

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Observation 99860cb6-4807-4cdf-9d75-929db8e977e2 · outbound

This paper cites Lu,On Weyl’s embedding problem in Riemannian manifolds, Int.

Contraction Maps Generated by Inverse Mean Curvature Flow Lu,On Weyl’s embedding problem in Riemannian manifolds, Int

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T03:00:11.165180Z

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Observation 3a6b6904-3eb4-47bc-ac23-c0da9f0ee6a8 · outbound

This paper cites Lytchak and S.

Contraction Maps Generated by Inverse Mean Curvature Flow Lytchak and S

Reference 24

Resolution: verified exact; doi, observed 2026-08-01T03:01:25.354555Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0d52f668-1c40-4a27-a434-5f10af9f1794 · outbound

This paper cites Makowski and J.

Contraction Maps Generated by Inverse Mean Curvature Flow Makowski and J

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T03:00:11.174170Z

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Observation 3258cf2d-6ba6-4f3f-b3ac-242a6931bca0 · outbound

This paper cites Marquardt,The inverse mean curvature flow for hypersurfaces with boundary, Ph.D.

Contraction Maps Generated by Inverse Mean Curvature Flow Marquardt,The inverse mean curvature flow for hypersurfaces with boundary, Ph.D

Reference 26

Resolution: verified exact; doi, observed 2026-08-01T03:01:25.105384Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c7e38437-9a46-4125-b93d-ca34a766475f · outbound

This paper cites Milman,Spectral estimates, contractions and hypercontractivity, J.

Contraction Maps Generated by Inverse Mean Curvature Flow Milman,Spectral estimates, contractions and hypercontractivity, J

Reference 27

Resolution: verified exact; doi, observed 2026-08-01T03:01:24.806427Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 65a774d9-c604-41b8-a517-a013cd7043dd · outbound

This paper cites an unresolved cited work.

Contraction Maps Generated by Inverse Mean Curvature Flow Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-01T03:00:11.186513Z

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Observation 617cae73-e1b3-4a99-8ab7-e4ecd8218fed · outbound

This paper cites Serres,Contractive transport maps from S2 to nearly spherical surfaces with positive Ricci curvature, Nonlinear Anal.267(2026), Article No.

Contraction Maps Generated by Inverse Mean Curvature Flow Serres,Contractive transport maps from S2 to nearly spherical surfaces with positive Ricci curvature, Nonlinear Anal.267(2026), Article No

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-01T03:00:11.192684Z

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Observation 1a62be12-81e7-4ef3-9cc1-99bd4dfc94a5 · outbound

This paper cites Villani,Optimal Transport: Old and New, Grundlehren der mathematischen Wissenschaften, vol.

Contraction Maps Generated by Inverse Mean Curvature Flow Villani,Optimal Transport: Old and New, Grundlehren der mathematischen Wissenschaften, vol

Reference 30

Resolution: malformed identifier; no resolver link, observed 2026-08-01T03:00:11.196667Z

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Pith citing papers

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