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Paper Citation Record · LEDGER

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

As of 8 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 1 inbound Pith citation observation for arXiv:2505.18837.

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

pith.paper-citation-record.v1
2505.18837 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:28:31.826808Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:50:17.560052Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T13:50:18.012880Z

Reference resolution

26 of 26 outbound references displayed

  • verified exact0
  • verified fuzzy15
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c8a0026a-2a35-46b0-9197-ec4311654d37 · outbound

This paper cites an unresolved cited work.

Pancreatic $\beta-$Cell Dynamics with Three-Time-Scale Systems Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:28:37.155028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:28:28.880038Z digest=sha256:6448a3690e922153b61d1867e8339af6ef9d1d5f5ba4ec513e4c86f10c5a1f1c

Observation 4a99dc26-21ed-4798-8bba-1a75b4506ba6 · outbound

This paper cites an unresolved cited work.

Pancreatic $\beta-$Cell Dynamics with Three-Time-Scale Systems Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:28:36.994644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:28:28.955998Z digest=sha256:d5c3c194c5d3a6226613c77ae9cfc15e1656633ac46ff8fc4035ea51918d25d9

Observation 47ad901a-3fc7-42cc-9738-fcc5907979e6 · outbound

This paper cites P., A phantom bursting mechanism for episodic bursting, Bulletin of Mathematical Biology, vol.

Pancreatic $\beta-$Cell Dynamics with Three-Time-Scale Systems P., A phantom bursting mechanism for episodic bursting, Bulletin of Mathematical Biology, vol

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:28:36.843336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:28:29.038646Z digest=sha256:2ccb28e2bf372be3a444f98b369210439a197fc2a25f9ae1cd6bbbbdd7565b19

Observation d5f52527-6d27-4c73-ba81-3f138c93a107 · outbound

This paper cites and Sherman, A., Filtering of calcium transients by the endoplasmic reticulum in pancreaticβ-cells, Biophysical Journal, vol.

Pancreatic $\beta-$Cell Dynamics with Three-Time-Scale Systems and Sherman, A., Filtering of calcium transients by the endoplasmic reticulum in pancreaticβ-cells, Biophysical Journal, vol

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:28:36.648389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:28:29.106552Z digest=sha256:b2e747f7c96f2d3f3b1b5d491a43c0183e32edb80ec3b0d136b617cf86c06910

Observation c12909a6-c7ec-464b-9642-bfbc224b7bd5 · outbound

This paper cites S., Electrical bursting, calcium oscillations, and synchronization of pancreatic islets, The Islets of Langerhans, pp.

Pancreatic $\beta-$Cell Dynamics with Three-Time-Scale Systems S., Electrical bursting, calcium oscillations, and synchronization of pancreatic islets, The Islets of Langerhans, pp

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:28:36.515015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:28:29.201197Z digest=sha256:2f2dabed14c59d17eb71e7bbd01e24f69baf58106dff3f97beea325ca72d5e66

Observation af5505d2-f2d8-465a-a0d0-1442a9e32aa3 · outbound

This paper cites A., and Satin, L.

Pancreatic $\beta-$Cell Dynamics with Three-Time-Scale Systems A., and Satin, L

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:28:36.328832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:28:29.281862Z digest=sha256:9db9ffbcc8aad2c4a545e3d5dfb9347ac48438b61cc17a02af99cb5021087812

Observation 4846a5e9-71b3-4259-b1f5-67394b53d899 · outbound

This paper cites an unresolved cited work.

Pancreatic $\beta-$Cell Dynamics with Three-Time-Scale Systems Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:28:36.170446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:28:29.379256Z digest=sha256:063e9526ab20239ae804d9aa9e30b88bc583eb97e120b5c256e702b0c6954c58

Observation 731269b4-0fb1-4783-bf9b-246c42ae75b5 · outbound

This paper cites an unresolved cited work.

Pancreatic $\beta-$Cell Dynamics with Three-Time-Scale Systems Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:28:35.909934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:28:29.498497Z digest=sha256:2b769655c83b90243faabe22769b5d30a4cfc982c7955949b2d3a6bfbe423ab4

Observation 7cd733e5-6961-4876-8517-470a939424e2 · outbound

This paper cites an unresolved cited work.

Pancreatic $\beta-$Cell Dynamics with Three-Time-Scale Systems Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:28:35.741422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:28:29.643130Z digest=sha256:e18518d8312fb4ecf42d8bd62b6187589beac23c414634761fea1a8d2b9ef798

Observation c282dbf7-b4d1-478c-9351-e8cc71c25d2d · outbound

This paper cites M., and Wechsel- berger, M., Mixed-mode oscillations with multiple time scales , SIAM Review, vol.

Pancreatic $\beta-$Cell Dynamics with Three-Time-Scale Systems M., and Wechsel- berger, M., Mixed-mode oscillations with multiple time scales , SIAM Review, vol

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:28:35.597775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:28:29.775835Z digest=sha256:959dcaf801501b965eac8d8620f3231d9567d28862b13ccabcddb53f30a5a4fd

Observation c761274d-013f-4fc9-8cef-e85de33fa65c · outbound

This paper cites an unresolved cited work.

Pancreatic $\beta-$Cell Dynamics with Three-Time-Scale Systems Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:28:35.407226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:28:29.862264Z digest=sha256:99cb8ff17982196dfbf3002ba56cd9442af1b029d4d3d4f0dcec92ad2701913f

Observation a4f35348-f316-4761-ae91-73b6c407c559 · outbound

This paper cites M., and Henquin, J.-C., Oscillations of secretion driven by oscillations of cytoplasmic Ca2+ as evidences in single pancreatic islets , Journal of Biological Chemistry, vol.

Pancreatic $\beta-$Cell Dynamics with Three-Time-Scale Systems M., and Henquin, J.-C., Oscillations of secretion driven by oscillations of cytoplasmic Ca2+ as evidences in single pancreatic islets , Journal of Biological Chemistry, vol

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:28:35.282462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:28:29.966527Z digest=sha256:220c2e18262c00aecd81f5c4f7dee1b1de836018227f7ba3a1217db10c2a84f5

Observation 82e29169-4554-42c0-9548-89abe4388fc7 · outbound

This paper cites and Llibre, J., Canards existence in memristor’s circuits, Qualitative Theory of Dynamical Systems, vol.

Pancreatic $\beta-$Cell Dynamics with Three-Time-Scale Systems and Llibre, J., Canards existence in memristor’s circuits, Qualitative Theory of Dynamical Systems, vol

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:28:35.120422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:28:30.097815Z digest=sha256:1c3a31a35ec35e3297b0041083da9775aa55317550f19d081e4edb4489089a60

Observation f12a3a50-ca17-4141-8ec4-8bf75748e86a · outbound

This paper cites and Kuehn, C., Computing slow manifolds of saddle type , SIAM Journal on Applied Dynamical Systems, vol.

Pancreatic $\beta-$Cell Dynamics with Three-Time-Scale Systems and Kuehn, C., Computing slow manifolds of saddle type , SIAM Journal on Applied Dynamical Systems, vol

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:28:34.852711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:28:30.247230Z digest=sha256:18afbaaf8ea41206c66a4b23f213ca411950d591044df2f99864afaeea826a58

Observation 77c7c6f6-db6c-42a0-8737-fd80b668c1b9 · outbound

This paper cites A survey on the blow-up method for fast-slow systems.

Pancreatic $\beta-$Cell Dynamics with Three-Time-Scale Systems A survey on the blow-up method for fast-slow systems

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-07T14:28:30.340543Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:28:30.340543Z digest=sha256:aab9ebcc349d045b43a8e7a5b320fdc14dc0b01279a4de86cc6a06e6c87886e2

Observation 0bca4c14-ee9c-475e-8811-098b9396ffee · outbound

This paper cites 191, 2015.

Pancreatic $\beta-$Cell Dynamics with Three-Time-Scale Systems 191, 2015

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:28:34.641538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:28:30.474487Z digest=sha256:cd0f8444757ebbe1ed5030df36be3ed32f5734837666f79515037aab94228795

Observation d07190d0-451c-42ac-8914-eaed3a388193 · outbound

This paper cites M., Parekh, V.

Pancreatic $\beta-$Cell Dynamics with Three-Time-Scale Systems M., Parekh, V

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:28:34.388849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:28:30.598237Z digest=sha256:192a347672fc5d207a247484f10046407cc555fc5a5d6b50304d4c064e1704b0

Observation cbe46514-952b-4f42-b815-eb440693f3b8 · outbound

This paper cites G., Bertram, R., and Sherman, A., Intra- and inter-islet synchronization of metabolically driven insulin secretion , Biophysical Journal, vol.

Pancreatic $\beta-$Cell Dynamics with Three-Time-Scale Systems G., Bertram, R., and Sherman, A., Intra- and inter-islet synchronization of metabolically driven insulin secretion , Biophysical Journal, vol

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:28:34.088258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:28:30.713922Z digest=sha256:2e642dbbb9f4fe8940806720b707bad8614590ca96b6080a1b44de52a28a6ab9

Observation 532f1c56-3854-403c-996a-fb97258876b5 · outbound

This paper cites an unresolved cited work.

Pancreatic $\beta-$Cell Dynamics with Three-Time-Scale Systems Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:28:33.846334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:28:30.836767Z digest=sha256:a59492d5845da5cb7d4dacf2d3f1d0cd3c554290287a2fd9e093a1f74b001ffb

Observation 04f58078-262c-4b1b-94a4-36acdeb8098c · outbound

This paper cites an unresolved cited work.

Pancreatic $\beta-$Cell Dynamics with Three-Time-Scale Systems Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:28:33.607097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:28:30.975280Z digest=sha256:2f0aceba3cae63190e70bf5dd253381c76fc4727e49d027eedd558e7062b8332

Observation 06862d18-4b90-4607-a7e9-318098665826 · outbound

This paper cites and Renstr¨ om, E.,Insulin granule dynamics in pancreatic beta cells, Diabetologia, vol.

Pancreatic $\beta-$Cell Dynamics with Three-Time-Scale Systems and Renstr¨ om, E.,Insulin granule dynamics in pancreatic beta cells, Diabetologia, vol

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:28:33.329953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:28:31.135334Z digest=sha256:d96dcbbff6a7520550f45a6824894d2f4fa1004bff10e6dea68abc82e77f7648

Observation 334d19d3-51c5-4cc2-8610-39825ddf62a5 · outbound

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

Pancreatic $\beta-$Cell Dynamics with Three-Time-Scale Systems and Rinzel, J., Model for synchronization of pancreatic beta-cells by gap junction coupling, Biophysical Journal, vol

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:28:33.100756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:28:31.273567Z digest=sha256:5a43a611f19b6662825cc73854f6439f243a9e7eb34e914cfecba4daa8722928

Observation bfc07ef7-2f01-4ae2-a7d0-58a8272dc16f · outbound

This paper cites and Wechselberger, M., Canards in R3 , Journal of Differential Equations, vol.

Pancreatic $\beta-$Cell Dynamics with Three-Time-Scale Systems and Wechselberger, M., Canards in R3 , Journal of Differential Equations, vol

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:28:32.848880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:28:31.438708Z digest=sha256:e9a7e1326f87f0d5c45e74d0a8ffa5f50a329d810fc56c9e6a6ac7d66f74e7f0

Observation e695853b-6278-4e31-aacd-d865c168b4c0 · outbound

This paper cites 1547, pp.

Pancreatic $\beta-$Cell Dynamics with Three-Time-Scale Systems 1547, pp

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:28:32.609456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:28:31.562620Z digest=sha256:5389d85d24de92a2e225f5abf858f630c82b6adf898cf22779ac9321851b5910

Observation 1c7c8d6d-def8-411c-8a31-18739339b8e4 · outbound

This paper cites an unresolved cited work.

Pancreatic $\beta-$Cell Dynamics with Three-Time-Scale Systems Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:28:32.362387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:28:31.688328Z digest=sha256:27bde598b45efe5be81f238d8e32f9c4df443282cfd1dd3b4aacf3e042fba48b

Observation 05d2ce32-d8be-4dad-84df-3ee96fe2eeb7 · outbound

This paper cites an unresolved cited work.

Pancreatic $\beta-$Cell Dynamics with Three-Time-Scale Systems Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:28:32.110076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:28:31.826808Z digest=sha256:20982cb87ee5077b5a0f60887de3b6802ad7d1da58602cbc29a873235fe9d71c

Pith citing papers

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

Synchronization Phenomenon in Three-Time-Scale Systems cites this paper.

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:50:17.560052Z digest=sha256:89d7196684025068631c52b5c199dbc68c4cdb35a1fc4a1978256a7230e931f1