Paper Citation Record · LEDGER

Nonlocal minimal surfaces are generically unique, and smooth in one extra dimension

As of 7 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2607.07154.

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

pith.paper-citation-record.v1
2607.07154 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-09T19:04:01.246214Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

32 of 32 outbound references displayed

verified exact28
verified fuzzy0
unresolved2
parse uncertain0
malformed identifier1
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation aa5e7ed2-3897-4d3f-8b05-576bf22f6de5 · outbound

This paper cites Ambrosio, G.

Nonlocal minimal surfaces are generically unique, and smooth in one extra dimension Ambrosio, G

Reference 1

Resolution: metadata mismatch; doi, observed 2026-07-09T19:06:27.258956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4fc36ba1-1144-4bd4-8865-868fc00002fa · outbound

This paper cites an unresolved cited work.

Nonlocal minimal surfaces are generically unique, and smooth in one extra dimension Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-07-09T19:06:27.410974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7f2ec1c0-2d6c-4d5c-8c78-4f4df36e831f · outbound

This paper cites 4, 465–504, DOI 10.4171/ifb/447.

Nonlocal minimal surfaces are generically unique, and smooth in one extra dimension 4, 465–504, DOI 10.4171/ifb/447

Reference 3

Resolution: verified exact; doi, observed 2026-07-09T19:06:27.246754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 840bc78f-3d1f-4e05-bac4-06573d3eb636 · outbound

This paper cites J.168(2019), no.

Nonlocal minimal surfaces are generically unique, and smooth in one extra dimension J.168(2019), no

Reference 4

Resolution: verified exact; doi, observed 2026-07-09T19:06:27.213810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 56cf973d-671a-4c12-861f-f08a3f6feaa7 · outbound

This paper cites and Roquejoffre, J.-M.

Nonlocal minimal surfaces are generically unique, and smooth in one extra dimension and Roquejoffre, J.-M

Reference 5

Resolution: verified exact; doi, observed 2026-07-09T19:06:27.252303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 61d3b6f0-5f30-432f-96df-2638f8bf3e69 · outbound

This paper cites an unresolved cited work.

Nonlocal minimal surfaces are generically unique, and smooth in one extra dimension Unresolved cited work

Reference 6

Resolution: verified exact; doi, observed 2026-07-09T19:06:27.243085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 419e6a66-ba24-4f7e-8e13-d50a33c04564 · outbound

This paper cites Uniform estimates and limiting arguments for nonlocal minimal surfaces.

Nonlocal minimal surfaces are generically unique, and smooth in one extra dimension Uniform estimates and limiting arguments for nonlocal minimal surfaces

Reference 7

Resolution: verified exact; doi, observed 2026-07-09T19:06:27.250376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7e7458d3-25be-479a-b537-7e87c34b0b3a · outbound

This paper cites Math.248(2013), 843–871, DOI 10.1016/j.aim.2013.08.007.

Nonlocal minimal surfaces are generically unique, and smooth in one extra dimension Math.248(2013), 843–871, DOI 10.1016/j.aim.2013.08.007

Reference 8

Resolution: verified exact; doi, observed 2026-07-09T19:06:27.249206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation cbf28c51-a17d-45fa-ae02-260c6591b2a8 · outbound

This paper cites an unresolved cited work.

Nonlocal minimal surfaces are generically unique, and smooth in one extra dimension Unresolved cited work

Reference 9

Resolution: verified exact; doi, observed 2026-07-09T19:06:27.242206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6945f425-c6c4-4cb5-9e6c-04260deccb48 · outbound

This paper cites Anal., posted on 2024, Paper No.

Nonlocal minimal surfaces are generically unique, and smooth in one extra dimension Anal., posted on 2024, Paper No

Reference 10

Resolution: verified exact; doi, observed 2026-07-09T19:06:27.259312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 50024810-9b48-43d0-9b10-ab050dcdd200 · outbound

This paper cites an unresolved cited work.

Nonlocal minimal surfaces are generically unique, and smooth in one extra dimension Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-07-09T19:06:27.411416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation bfabd04e-968e-4179-b58e-b322937cfbaf · outbound

This paper cites Generic regularity for minimizing hypersurfaces in dimension 11.

Nonlocal minimal surfaces are generically unique, and smooth in one extra dimension Generic regularity for minimizing hypersurfaces in dimension 11

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-07-09T19:06:27.352121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 303f4096-45eb-4d84-bafc-0ab4e4a11ac9 · outbound

This paper cites Differential Geom.112(2019), no.

Nonlocal minimal surfaces are generically unique, and smooth in one extra dimension Differential Geom.112(2019), no

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-07-09T19:06:27.265397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b26492ad-87bb-4cee-89aa-1c8cf219ed31 · outbound

This paper cites Generic regularity of free boundaries in the obstacle problem for the fractional Laplacian.

Nonlocal minimal surfaces are generically unique, and smooth in one extra dimension Generic regularity of free boundaries in the obstacle problem for the fractional Laplacian

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-07-09T19:06:27.356944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3271a794-b4c9-42f6-b495-f05dd02b09ca · outbound

This paper cites On an open question about functions of bounded variation.

Nonlocal minimal surfaces are generically unique, and smooth in one extra dimension On an open question about functions of bounded variation

Reference 15

Resolution: verified exact; doi, observed 2026-07-09T19:06:27.247468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 06714d96-5c79-4cfe-92fe-9c84109d9faf · outbound

This paper cites Dipierro, O.

Nonlocal minimal surfaces are generically unique, and smooth in one extra dimension Dipierro, O

Reference 16

Resolution: verified exact; doi, observed 2026-07-09T19:06:27.239037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d424d0a4-99b2-47b6-9bbe-6e8bfdbf024e · outbound

This paper cites Dipierro, O.

Nonlocal minimal surfaces are generically unique, and smooth in one extra dimension Dipierro, O

Reference 17

Resolution: verified exact; doi, observed 2026-07-09T19:06:27.264850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 72b1b61d-0b4f-4f9a-bbbb-7d542e1d1997 · outbound

This paper cites an unresolved cited work.

Nonlocal minimal surfaces are generically unique, and smooth in one extra dimension Unresolved cited work

Reference 18

Resolution: verified exact; doi, observed 2026-07-09T19:06:27.233439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 344b4415-81c3-447f-935b-d9a178f5ae5e · outbound

This paper cites an unresolved cited work.

Nonlocal minimal surfaces are generically unique, and smooth in one extra dimension Unresolved cited work

Reference 19

Resolution: verified exact; doi, observed 2026-07-09T19:06:27.262507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9729e99a-96c8-4cdc-92cc-d6ecebf2c5b2 · outbound

This paper cites an unresolved cited work.

Nonlocal minimal surfaces are generically unique, and smooth in one extra dimension Unresolved cited work

Reference 20

Resolution: verified exact; doi, observed 2026-07-09T19:06:27.260859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 601c4017-c0fd-435f-ab90-8020de741337 · outbound

This paper cites Math.433(2023), Paper No.

Nonlocal minimal surfaces are generically unique, and smooth in one extra dimension Math.433(2023), Paper No

Reference 21

Resolution: verified exact; arxiv_id, observed 2026-07-09T19:06:27.213625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4a3f71ce-2e81-4a83-a0ea-244f31fe5f93 · outbound

This paper cites Generic properties in free boundary problems.

Nonlocal minimal surfaces are generically unique, and smooth in one extra dimension Generic properties in free boundary problems

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-07-09T19:06:27.262701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 31921231-dfeb-46df-bbae-eeb6da2100a8 · outbound

This paper cites an unresolved cited work.

Nonlocal minimal surfaces are generically unique, and smooth in one extra dimension Unresolved cited work

Reference 23

Resolution: verified exact; arxiv_id, observed 2026-07-09T19:06:27.354599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 852b9705-385a-4c4e-a670-e18fc8074616 · outbound

This paper cites an unresolved cited work.

Nonlocal minimal surfaces are generically unique, and smooth in one extra dimension Unresolved cited work

Reference 24

Resolution: verified exact; doi, observed 2026-07-09T19:06:27.229211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation bcb21324-2017-4f5c-9cdb-044f906bd216 · outbound

This paper cites Reine Angew.

Nonlocal minimal surfaces are generically unique, and smooth in one extra dimension Reine Angew

Reference 25

Resolution: verified exact; doi, observed 2026-07-09T19:06:27.236075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ca96bfd8-697b-4398-823c-e24c61d837f6 · outbound

This paper cites Reine Angew.

Nonlocal minimal surfaces are generically unique, and smooth in one extra dimension Reine Angew

Reference 26

Resolution: verified exact; doi, observed 2026-07-09T19:06:27.257649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0544b0bd-9004-4acb-b7c9-3d95d7c0b250 · outbound

This paper cites an unresolved cited work.

Nonlocal minimal surfaces are generically unique, and smooth in one extra dimension Unresolved cited work

Reference 27

Resolution: verified exact; doi, observed 2026-07-09T19:06:27.256035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 563253d4-0ce3-47e3-9a22-ca73f51f8be3 · outbound

This paper cites an unresolved cited work.

Nonlocal minimal surfaces are generically unique, and smooth in one extra dimension Unresolved cited work

Reference 28

Resolution: malformed identifier; doi_truncated, observed 2026-07-09T19:06:27.250783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ad5c6e64-f1ab-4757-85d5-d43828801cdf · outbound

This paper cites Γ-convergence for nonlocal phase transitions.

Nonlocal minimal surfaces are generically unique, and smooth in one extra dimension Γ-convergence for nonlocal phase transitions

Reference 29

Resolution: verified exact; doi, observed 2026-07-09T19:06:27.245470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 70fe8d16-1345-4873-8659-7ee24b485dc0 · outbound

This paper cites an unresolved cited work.

Nonlocal minimal surfaces are generically unique, and smooth in one extra dimension Unresolved cited work

Reference 30

Resolution: verified exact; doi, observed 2026-07-09T19:06:27.248535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c3edc888-446d-45ee-a292-ee54cdf9b641 · outbound

This paper cites Schaeffer,An example of generic regularity for a non-linear elliptic equation, Arch.

Nonlocal minimal surfaces are generically unique, and smooth in one extra dimension Schaeffer,An example of generic regularity for a non-linear elliptic equation, Arch

Reference 31

Resolution: verified exact; doi, observed 2026-07-09T19:06:27.198710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9060e9b5-43d8-4ca4-b00b-ba1611c4ae5e · outbound

This paper cites an unresolved cited work.

Nonlocal minimal surfaces are generically unique, and smooth in one extra dimension Unresolved cited work

Reference 32

Resolution: verified exact; doi, observed 2026-07-09T19:06:27.237106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.