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Paper Citation Record · LEDGER

On the emergence of almost-honeycomb structures in low-energy planar clusters

As of 13 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 1 inbound Pith citation observation for arXiv:2501.05373.

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

pith.paper-citation-record.v1
2501.05373 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T21:21:46.734247Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T11:05:18.954939Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

15 of 15 outbound references displayed

  • verified exact1
  • verified fuzzy10
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6d03b8aa-2281-47fc-8ebb-783e5e7ed827 · outbound

This paper cites an unresolved cited work.

On the emergence of almost-honeycomb structures in low-energy planar clusters Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:21:46.947769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T21:21:46.675185Z digest=sha256:1186bfa576da537bd24a8bd6e840e7dd95a564379f85046fa64c43afe0ba6308

Observation 4c9c9dd5-6e79-41c3-8590-0b174f427a52 · outbound

This paper cites Improved convergence theorems for bubble clusters I.

On the emergence of almost-honeycomb structures in low-energy planar clusters Improved convergence theorems for bubble clusters I

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:21:46.934243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T21:21:46.680079Z digest=sha256:1ed0921186f40a37b6604d171f4370032db83aa5b1ca16715f67c3a76f889020

Observation 2ee7b024-3879-4171-8f4b-c1a984b1c8de · outbound

This paper cites Caroccia and F.

On the emergence of almost-honeycomb structures in low-energy planar clusters Caroccia and F

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:21:46.923302Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T21:21:46.683796Z digest=sha256:aa353501d76e74a527c5d73ef23756ce9b14cdb7d78c008438ae9018d9fc860e

Observation 681dfbf7-64a6-4d73-881e-96660e228bf3 · outbound

This paper cites The standard double soap bubble in R ^2 uniquely minimizes perimeter.

On the emergence of almost-honeycomb structures in low-energy planar clusters The standard double soap bubble in R ^2 uniquely minimizes perimeter

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:21:46.911199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T21:21:46.687801Z digest=sha256:39a4ed6b57648a4056eba5ecb30cb477a27a3b2e2be0277bf9132937af69e18f

Observation 949a8ecc-a395-46e7-8ba6-062e7bdbc30f · outbound

This paper cites U ber das k\.

On the emergence of almost-honeycomb structures in low-energy planar clusters U ber das k\

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:21:46.899410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T21:21:46.694416Z digest=sha256:8a80feedac656e8794dde90f25b8d7d100d2b8c97105a7f8d0d5b8308409f32c

Observation 0e3d6dd8-da35-4fd5-9df3-c153656b006f · outbound

This paper cites an unresolved cited work.

On the emergence of almost-honeycomb structures in low-energy planar clusters Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:21:46.888321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T21:21:46.698371Z digest=sha256:f02720908e399fb6626f3ec1866d39014a43efe647e8342044cb4debd7907a63

Observation 2f7c3d65-4b52-4894-958e-bb66cb5ce244 · outbound

This paper cites Planar clusters.

On the emergence of almost-honeycomb structures in low-energy planar clusters Planar clusters

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:21:46.877037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T21:21:46.702411Z digest=sha256:21219f47cd6909c0fea40bd2edb72a93e6ed82fc6aa8a015a75c101c8e1a6d30

Observation 1fa11da1-b952-47b5-9f12-37936cd6c713 · outbound

This paper cites Indrei and L.

On the emergence of almost-honeycomb structures in low-energy planar clusters Indrei and L

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:21:46.864685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T21:21:46.705989Z digest=sha256:60d79c17617f122c135f70cb52a14c5e372174fe5a73fb540621ec7319a1292d

Observation 5b29c450-e82c-4257-8e34-5c1e6959bc25 · outbound

This paper cites Khimshiashvili and G.

On the emergence of almost-honeycomb structures in low-energy planar clusters Khimshiashvili and G

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:21:46.853507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T21:21:46.709482Z digest=sha256:f83da9f525215cad835e4d0542d0ba89f0e48ca5bf0c2ffcfc8e8e33d4cde58f

Observation 4324d809-ebed-4d20-8028-2c02437b74fa · outbound

This paper cites Aire, p\'erim\`etre et polygones cocycliques.

On the emergence of almost-honeycomb structures in low-energy planar clusters Aire, p\'erim\`etre et polygones cocycliques

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-10T21:21:46.774336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T21:21:46.712840Z digest=sha256:990b27fb35a40a4f407c4cca6292a7c0957c61825550ecfe3b03feeba740d0e1

Observation e4d18b6a-70db-455f-a6b6-66130039c266 · outbound

This paper cites an unresolved cited work.

On the emergence of almost-honeycomb structures in low-energy planar clusters Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:21:46.839727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T21:21:46.717013Z digest=sha256:19922878acb7db61ec963cc637a396a4ee0158e600a9df9a984a0fc71c8c4217

Observation c5fc7415-95b4-4adb-ad8d-22024f9eebfa · outbound

This paper cites an unresolved cited work.

On the emergence of almost-honeycomb structures in low-energy planar clusters Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:21:46.826124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T21:21:46.721017Z digest=sha256:0eb737f49d12eb0bd780d1b7e4c2d5ddb24acd7dc014c9aab5f7c74c82dc96eb

Observation 2fe336ba-d1c4-4dff-afe2-46629ee4ea03 · outbound

This paper cites Minimal clusters of four planar regions with the same area.

On the emergence of almost-honeycomb structures in low-energy planar clusters Minimal clusters of four planar regions with the same area

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:21:46.812695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T21:21:46.725740Z digest=sha256:2ed0099417a42d709e3fa0834142cef4fd66cacd59ad792db41d283467db62b5

Observation b2825349-48aa-4258-9a9c-bd5cae657d8b · outbound

This paper cites Paolini and V.

On the emergence of almost-honeycomb structures in low-energy planar clusters Paolini and V

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:21:46.799356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T21:21:46.730084Z digest=sha256:14c9ac04d1b9a865cb9c8ed41e665ad304c83e90fcd7b6bee6ad670f4868c7f2

Observation 3bfb5c55-e75b-4186-bed2-89b44a431142 · outbound

This paper cites Wichiramala.

On the emergence of almost-honeycomb structures in low-energy planar clusters Wichiramala

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:21:46.787280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T21:21:46.734247Z digest=sha256:d2d61544bd52fea37ff805972832fd2bb442235bfd49368ebcc3262efa7842dd

Pith citing papers

Observation 98bd9438-d056-4416-b796-cf8a272b228e · inbound

Multi-Bubble Isoperimetric Problems cites this paper.

Multi-Bubble Isoperimetric Problems On the emergence of almost-honeycomb structures in low-energy planar clusters

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-04T11:05:18.954939Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T11:05:18.954939Z digest=sha256:ff3d98c6c37dc58915dd8a2fbdeeea5e45c89c17caf7773fa9e53ac44e4c5285