Paper Citation Record · LEDGER

On the non-uniqueness of locally minimizing clusters via singular cones

As of 21 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 2 inbound Pith citation observations for arXiv:2507.13995.

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

pith.paper-citation-record.v1
2507.13995 v1

Coverage vector

measured 49 of 49 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:21:41.565340Z

measured 51 of 51 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T11:05:18.341683Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

49 of 49 outbound references displayed

verified exact0
verified fuzzy30
unresolved19
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a7828906-87df-4d66-89c5-8ebee0304f87 · outbound

This paper cites Alama, L.

On the non-uniqueness of locally minimizing clusters via singular cones Alama, L

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:21:41.953593Z

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 2bac3c1b-e03f-40ae-8b35-2a4482e12aa5 · outbound

This paper cites Alama, L.

On the non-uniqueness of locally minimizing clusters via singular cones Alama, L

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:21:41.946421Z

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 cde81045-8b7f-4df1-b495-12886ec4506c · outbound

This paper cites an unresolved cited work.

On the non-uniqueness of locally minimizing clusters via singular cones Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:21:41.938846Z

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 95bc8404-6d87-49a1-8226-ac22a1147a33 · outbound

This paper cites an unresolved cited work.

On the non-uniqueness of locally minimizing clusters via singular cones Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:21:41.931457Z

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 870f982f-3c43-4489-959e-9f36a67a2459 · outbound

This paper cites an unresolved cited work.

On the non-uniqueness of locally minimizing clusters via singular cones Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:21:41.924223Z

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 4239ae14-6dbc-41e1-b08c-a0c925a8d927 · outbound

This paper cites an unresolved cited work.

On the non-uniqueness of locally minimizing clusters via singular cones Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:21:41.917098Z

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 70d7d0d6-f2f2-4f30-82e7-cc65288adc53 · outbound

This paper cites Bateman and B.

On the non-uniqueness of locally minimizing clusters via singular cones Bateman and B

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:21:41.909878Z

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 3e1abe9e-85dd-424f-ad8b-6e8bd8264205 · outbound

This paper cites Bombieri, E.

On the non-uniqueness of locally minimizing clusters via singular cones Bombieri, E

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:21:41.902286Z

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 359ae35f-b188-47de-b819-00fc7312bf88 · outbound

This paper cites Bonacini, R.

On the non-uniqueness of locally minimizing clusters via singular cones Bonacini, R

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:21:41.895217Z

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 7b344dbe-fadf-43f9-a1fa-510680a91855 · outbound

This paper cites Bronsard and M.

On the non-uniqueness of locally minimizing clusters via singular cones Bronsard and M

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:21:41.888064Z

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 e2e773b5-f6e0-457a-9b93-cb150e5d24bf · outbound

This paper cites Colombo, N.

On the non-uniqueness of locally minimizing clusters via singular cones Colombo, N

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:21:41.880156Z

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 c61b625e-b58e-4a51-95e5-054ac974a201 · outbound

This paper cites Davini, On calibrations for Lawson ’s cones, Rend.

On the non-uniqueness of locally minimizing clusters via singular cones Davini, On calibrations for Lawson ’s cones, Rend

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:21:41.872980Z

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 064f4bb0-bb65-4ce3-acf7-2d1e397ce423 · outbound

This paper cites De Lellis, F.

On the non-uniqueness of locally minimizing clusters via singular cones De Lellis, F

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:21:41.865735Z

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 0fbe3453-4648-42f0-8f58-96e4a7f3e668 · outbound

This paper cites De Philippis and F.

On the non-uniqueness of locally minimizing clusters via singular cones De Philippis and F

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:21:41.858706Z

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 562f03c3-ffcc-4617-9d8b-dd93ed16d5d6 · outbound

This paper cites De Silva and D.

On the non-uniqueness of locally minimizing clusters via singular cones De Silva and D

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:21:41.851484Z

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 9acb26f7-779a-4021-b0bf-8914dddb95cb · outbound

This paper cites an unresolved cited work.

On the non-uniqueness of locally minimizing clusters via singular cones Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:21:41.843428Z

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 eb98970f-dc04-4de9-a518-f6c8165b9111 · outbound

This paper cites Foisy, M.

On the non-uniqueness of locally minimizing clusters via singular cones Foisy, M

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:21:41.836038Z

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 f8bccda6-b8c2-44dd-99f3-6847fd2c35a1 · outbound

This paper cites G´ omez-Serrano,Computer-assisted proofs in pde: a survey , SeMA Journal 76 (2019), 459–484.

On the non-uniqueness of locally minimizing clusters via singular cones G´ omez-Serrano,Computer-assisted proofs in pde: a survey , SeMA Journal 76 (2019), 459–484

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:21:41.828782Z

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 bff0c4a7-068c-4a91-b6f4-34ae9cbc248b · outbound

This paper cites Hutchings, The structure of area-minimizing double bubbles , J.

On the non-uniqueness of locally minimizing clusters via singular cones Hutchings, The structure of area-minimizing double bubbles , J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:21:41.821276Z

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 1c0a66b3-72ad-4165-ab70-eeef9821c4cb · outbound

This paper cites Hutchings, F.

On the non-uniqueness of locally minimizing clusters via singular cones Hutchings, F

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:21:41.813910Z

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 502c3b1f-4afc-46ac-a97f-0a07648aa011 · outbound

This paper cites Johansson, Arb: efficient arbitrary-precision midpoint-radius interval arithmetic , IEEE Trans.

On the non-uniqueness of locally minimizing clusters via singular cones Johansson, Arb: efficient arbitrary-precision midpoint-radius interval arithmetic , IEEE Trans

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:21:41.806603Z

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 cdd8bd89-f919-4144-9ddd-e5f400d0fcdd · outbound

This paper cites an unresolved cited work.

On the non-uniqueness of locally minimizing clusters via singular cones Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:21:41.799148Z

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 e0ff263d-5fad-48ba-9f69-d25a353e4047 · outbound

This paper cites an unresolved cited work.

On the non-uniqueness of locally minimizing clusters via singular cones Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:21:41.791565Z

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 1ad40282-5094-40db-bbed-4474dabb53fd · outbound

This paper cites an unresolved cited work.

On the non-uniqueness of locally minimizing clusters via singular cones Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:21:41.783834Z

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 ae84b9ae-e3c1-42e6-8e0d-9f5def9fbbd6 · outbound

This paper cites an unresolved cited work.

On the non-uniqueness of locally minimizing clusters via singular cones Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:21:41.776830Z

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 4ca31ce1-9f1e-4abc-9f94-498516ead34b · outbound

This paper cites an unresolved cited work.

On the non-uniqueness of locally minimizing clusters via singular cones Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:21:41.769439Z

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 fdb35937-ed4c-48fb-bd99-dd31de8e5623 · outbound

This paper cites an unresolved cited work.

On the non-uniqueness of locally minimizing clusters via singular cones Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:21:41.762171Z

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 8f5ece30-2b52-4de0-bb53-6ab353cddd13 · outbound

This paper cites Lin and T.

On the non-uniqueness of locally minimizing clusters via singular cones Lin and T

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:21:41.754967Z

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 84b49546-b927-47a0-945c-652f6c8629ed · outbound

This paper cites an unresolved cited work.

On the non-uniqueness of locally minimizing clusters via singular cones Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:21:41.747528Z

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 03c03edc-fd7a-49f4-b177-9eab807c2932 · outbound

This paper cites Milman, Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs , 2024.

On the non-uniqueness of locally minimizing clusters via singular cones Milman, Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs , 2024

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:21:41.740236Z

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 ee9db1a7-7141-4b40-b1ee-6abf4ad7a9f1 · outbound

This paper cites Milman and J.

On the non-uniqueness of locally minimizing clusters via singular cones Milman and J

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:21:41.732986Z

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 becb4568-da84-4527-b3b4-4569742b9bee · outbound

This paper cites 234 (2025), no.

On the non-uniqueness of locally minimizing clusters via singular cones 234 (2025), no

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:21:41.725720Z

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 ecda4740-0943-445f-84b3-6553fb35117e · outbound

This paper cites Milman and B.

On the non-uniqueness of locally minimizing clusters via singular cones Milman and B

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:21:41.718218Z

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 e2a17ff6-eecd-4821-ac24-1ab7f81d8f6d · outbound

This paper cites Naber and D.

On the non-uniqueness of locally minimizing clusters via singular cones Naber and D

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:21:41.710733Z

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 baee4685-710f-4f73-828b-f97f7c0ece14 · outbound

This paper cites Novack, I.

On the non-uniqueness of locally minimizing clusters via singular cones Novack, I

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:21:41.703454Z

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 b08d8bf5-cae1-4819-b6f5-302436127a6e · outbound

This paper cites Novaga, E.

On the non-uniqueness of locally minimizing clusters via singular cones Novaga, E

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:21:41.696118Z

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 a8fdd0d8-1115-448d-be85-367e5e09b494 · outbound

This paper cites an unresolved cited work.

On the non-uniqueness of locally minimizing clusters via singular cones Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:21:41.688880Z

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 f8bd0a49-6576-4cf4-9718-a3f822fd6fa4 · outbound

This paper cites Paolini and V.

On the non-uniqueness of locally minimizing clusters via singular cones Paolini and V

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:21:41.681380Z

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 55f43380-12b7-44e1-89ec-d8cbb5bdfe46 · outbound

This paper cites an unresolved cited work.

On the non-uniqueness of locally minimizing clusters via singular cones Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:21:41.674283Z

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 0ad9da62-a9b0-4a5d-8ec0-923d90f1a9f4 · outbound

This paper cites an unresolved cited work.

On the non-uniqueness of locally minimizing clusters via singular cones Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:21:41.666775Z

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 eba74664-ce11-4418-a0ea-54a2148a35a4 · outbound

This paper cites an unresolved cited work.

On the non-uniqueness of locally minimizing clusters via singular cones Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:21:41.659157Z

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 6edcae42-2eac-46f0-841d-d512b9ef5527 · outbound

This paper cites Simon, Lectures on geometric measure theory , Proceedings of the Centre for Mathematical Analysis, Australian National University, vol.

On the non-uniqueness of locally minimizing clusters via singular cones Simon, Lectures on geometric measure theory , Proceedings of the Centre for Mathematical Analysis, Australian National University, vol

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:21:41.651234Z

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 e9aa1fa7-6b0d-489e-ac50-b818ce9fb4c4 · outbound

This paper cites 3, 585–652.

On the non-uniqueness of locally minimizing clusters via singular cones 3, 585–652

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:21:41.643442Z

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 a6521b6d-f3cf-48c0-a0d4-d0d1276b6001 · outbound

This paper cites Simons, Minimal varieties in Riemannian manifolds , Ann.

On the non-uniqueness of locally minimizing clusters via singular cones Simons, Minimal varieties in Riemannian manifolds , Ann

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:21:41.635355Z

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 147b18de-e5e9-4c79-ae12-d3cd3b43d104 · outbound

This paper cites an unresolved cited work.

On the non-uniqueness of locally minimizing clusters via singular cones Unresolved cited work

Reference 45

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:21:41.626897Z

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 1707dc7e-e13a-4af5-a356-ddd96f892f5b · outbound

This paper cites an unresolved cited work.

On the non-uniqueness of locally minimizing clusters via singular cones Unresolved cited work

Reference 46

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:21:41.618794Z

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 3cecfe4c-1553-4f78-9676-24948caa02da · outbound

This paper cites FLINT team, FLINT: Fast Library for Number Theory , 2025.

On the non-uniqueness of locally minimizing clusters via singular cones FLINT team, FLINT: Fast Library for Number Theory , 2025

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:21:41.610838Z

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 b72116ec-b6d0-48f0-b94e-c81ec145c4aa · outbound

This paper cites an unresolved cited work.

On the non-uniqueness of locally minimizing clusters via singular cones Unresolved cited work

Reference 48

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:21:41.601459Z

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 397c11d9-f35c-4177-ba91-fd69dc0033a1 · outbound

This paper cites Wichiramala, Proof of the planar triple bubble conjecture , J.

On the non-uniqueness of locally minimizing clusters via singular cones Wichiramala, Proof of the planar triple bubble conjecture , J

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:21:41.592906Z

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.

Pith citing papers

Observation c07dadb3-e547-4a55-a6e9-13db9db784aa · inbound

Multi-Bubble Isoperimetric Problems cites this paper.

Multi-Bubble Isoperimetric Problems On the non-uniqueness of locally minimizing clusters via singular cones

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T11:05:18.341683Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7cba1a0b-4403-4c00-a114-409bb5217346 · inbound

Anisotropic isoperimetric double tilings of the plane cites this paper.

Anisotropic isoperimetric double tilings of the plane On the non-uniqueness of locally minimizing clusters via singular cones

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-14T10:18:32.879564Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.