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Paper Citation Record · LEDGER

Synchronization Phenomenon in Three-Time-Scale Systems

As of 7 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2505.21088.

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

pith.paper-citation-record.v1
2505.21088 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:50:17.897449Z

measured 14 of 14 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

14 of 14 outbound references displayed

  • verified exact1
  • verified fuzzy8
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6fb46027-8c3a-43b1-a70e-9183b6d5df1a · outbound

This paper cites A., Bonilla, L.

Synchronization Phenomenon in Three-Time-Scale Systems A., Bonilla, L

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:50:19.883688Z

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.

source=pdf_text observed=2026-08-07T13:50:16.886240Z digest=sha256:e317a802d72089d28ff5782198d1d768cb7f31ace6b4872bf4766876b2efca41

Observation 80540835-ae15-4e5c-9528-ac7df9873900 · outbound

This paper cites an unresolved cited work.

Synchronization Phenomenon in Three-Time-Scale Systems Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:50:19.711104Z

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.

source=pdf_text observed=2026-08-07T13:50:16.944670Z digest=sha256:9f9745de23b7fe56105db6b3f6a98b685d020d519aec7df47c729b7062705495

Observation 7eabec0b-691c-4d59-b24d-5fb2b3015dd7 · outbound

This paper cites an unresolved cited work.

Synchronization Phenomenon in Three-Time-Scale Systems Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:50:19.578292Z

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.

source=pdf_text observed=2026-08-07T13:50:17.026848Z digest=sha256:9cebb07da22588f510ec2be746dbff51fae5090d9389937a15e9b58d4e37e8be

Observation 0e114bcb-f542-41a6-a0ec-16d8421b4258 · outbound

This paper cites X.,Synchronization analysis of two-time-scale non- linear complex networks with time-scale-dependent coupling, IEEE Transactions on Cyber- netics, vol.

Synchronization Phenomenon in Three-Time-Scale Systems X.,Synchronization analysis of two-time-scale non- linear complex networks with time-scale-dependent coupling, IEEE Transactions on Cyber- netics, vol

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:50:19.422641Z

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.

source=pdf_text observed=2026-08-07T13:50:17.105470Z digest=sha256:1084bed288784a90208f1c447b096bf571a7b3ab3402d91c515fabdcae684d47

Observation 004e88c6-7b7e-4aac-a8c1-40dbfb4ad4c7 · outbound

This paper cites an unresolved cited work.

Synchronization Phenomenon in Three-Time-Scale Systems Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:50:19.318745Z

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.

source=pdf_text observed=2026-08-07T13:50:17.221908Z digest=sha256:d97cbaae39a8bb6a650eaf80379c8528981283b36920ac86deaa6d76c74954e2

Observation dd58ff1d-5404-48a3-9951-c3b914d7b9b7 · outbound

This paper cites D., Gromada, J., and Sussel, L.,Heterogeneity of the pancreatic beta cell, Frontiers in Genetics, vol.

Synchronization Phenomenon in Three-Time-Scale Systems D., Gromada, J., and Sussel, L.,Heterogeneity of the pancreatic beta cell, Frontiers in Genetics, vol

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:50:19.166663Z

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.

source=pdf_text observed=2026-08-07T13:50:17.291842Z digest=sha256:f8b3830a8771f12f7da7b342085bcc8a5005c3ceced078dc1422e7b7f0770706

Observation 34bc5cf9-9d7e-45eb-bcab-5559701afb39 · outbound

This paper cites 191, 2015.

Synchronization Phenomenon in Three-Time-Scale Systems 191, 2015

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:50:18.996370Z

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.

source=pdf_text observed=2026-08-07T13:50:17.386833Z digest=sha256:b8e475b743f992714aa97b33288da0e9dd93cb7a5a0e79c201d2ccebe40a1860

Observation 524734a7-3bd2-4c35-b0b0-3a4813187a7a · outbound

This paper cites an unresolved cited work.

Synchronization Phenomenon in Three-Time-Scale Systems Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:50:18.881469Z

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.

source=pdf_text observed=2026-08-07T13:50:17.500014Z digest=sha256:49a568309ea5c5b40ff7608937deec2e8f65c82c4ba7ab8d8b9ba2c73182feed

Observation 7bfb1d26-dc45-48b7-b2d8-d9f9f0605d75 · outbound

This paper cites Pancreatic $\beta-$Cell Dynamics with Three-Time-Scale Systems.

Synchronization Phenomenon in Three-Time-Scale Systems Pancreatic $\beta-$Cell Dynamics with Three-Time-Scale Systems

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:50:18.067148Z

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.

source=pdf_text observed=2026-08-07T13:50:17.560052Z digest=sha256:ccf087d056b84db5ce7e13ff56fe9b31d83639def59d43a4b1274992d753fe1a

Observation a5240d05-acd8-4979-aa7e-9ace856c919f · outbound

This paper cites 12, 2001.

Synchronization Phenomenon in Three-Time-Scale Systems 12, 2001

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:50:18.771622Z

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.

source=pdf_text observed=2026-08-07T13:50:17.659328Z digest=sha256:74b9930243316a1bb18393af10e2c05d17c47f7317d59d67db75e75f232f364c

Observation 35f116eb-05af-4f07-bdde-2f41bbb45a8d · outbound

This paper cites C.,Factors determining the glucose sensitivity and glucose responsiveness of pancreatic beta cells, Hormone Research in Paediatrics, vol.

Synchronization Phenomenon in Three-Time-Scale Systems C.,Factors determining the glucose sensitivity and glucose responsiveness of pancreatic beta cells, Hormone Research in Paediatrics, vol

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:50:18.605732Z

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.

source=pdf_text observed=2026-08-07T13:50:17.714302Z digest=sha256:3849d0f4c95b44685ba681ef6a60fc4162cad0d866cbb4e9bb2966dc22801277

Observation dc575646-2066-453c-a6e6-4f7dc1abc207 · outbound

This paper cites and Rinzel, J.,Model for synchronization of pancreatic beta-cells by gap junc- tion coupling, Biophysical Journal, vol.

Synchronization Phenomenon in Three-Time-Scale Systems and Rinzel, J.,Model for synchronization of pancreatic beta-cells by gap junc- tion coupling, Biophysical Journal, vol

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:50:18.489331Z

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.

source=pdf_text observed=2026-08-07T13:50:17.759895Z digest=sha256:34f0fe8846f1a918197da45a06aaa70ba9e763154cc24d3cf7b8bf9afb8d150d

Observation 4fde7484-1b1f-4eb0-b4dc-26df9f60aa4a · outbound

This paper cites H.,From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators, Physica D: Nonlinear Phenomena, vol.

Synchronization Phenomenon in Three-Time-Scale Systems H.,From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators, Physica D: Nonlinear Phenomena, vol

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:50:18.292938Z

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.

source=pdf_text observed=2026-08-07T13:50:17.803024Z digest=sha256:8416cf2f36121ec1bdb1039743a9afc251b91507d2bbd383c0e3e4514cbcd8c5

Observation c21228e5-6064-4dc4-bb77-68ab47cf0a57 · outbound

This paper cites an unresolved cited work.

Synchronization Phenomenon in Three-Time-Scale Systems Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:50:18.188837Z

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.

source=pdf_text observed=2026-08-07T13:50:17.897449Z digest=sha256:37e2b48b6081690f644aad3774718610b9729c174ad6cf7f1baa01030548c685

Pith citing papers

No inbound Pith citation observations are available.