Paper Citation Record · LEDGER

Impact of Hill coefficient and time delay on a perceptual decision-making model

As of 8 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 1 inbound Pith citation observation for arXiv:2506.19853.

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

pith.paper-citation-record.v1
2506.19853 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:57:59.569297Z

measured 16 of 16 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:57:59.436214Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T10:57:59.646444Z

Reference resolution

15 of 15 outbound references displayed

verified exact0
verified fuzzy9
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4d54e57f-633a-4381-b930-1612d7abce4e · outbound

This paper cites Impact of Hill coefficient and time delay on a perceptual decision-making model.

Impact of Hill coefficient and time delay on a perceptual decision-making model Impact of Hill coefficient and time delay on a perceptual decision-making model

Reference 1

Resolution: metadata mismatch; local_arxiv, observed 2026-08-07T10:57:59.657394Z

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 95aa302f-b427-483d-ac35-4734cd5cb0a6 · outbound

This paper cites The first one is a quasi-steady state approximation, which reduces the original four equations to two equations for firing ratesr 1,2.

Impact of Hill coefficient and time delay on a perceptual decision-making model The first one is a quasi-steady state approximation, which reduces the original four equations to two equations for firing ratesr 1,2

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:58:00.040325Z

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 d0b13d8a-5c0f-4d20-93e0-31398e4fd370 · outbound

This paper cites Let alsoF:R→Rbe a real function defined asF(y) =|P(iy)| 2−|Q(iy)|2 and s= sgnF ′(y)denote the sign of its derivative.

Impact of Hill coefficient and time delay on a perceptual decision-making model Let alsoF:R→Rbe a real function defined asF(y) =|P(iy)| 2−|Q(iy)|2 and s= sgnF ′(y)denote the sign of its derivative

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:58:00.000166Z

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 526a42df-63e2-48a6-a5ee-8fd02862c604 · outbound

This paper cites -1.0 -0.5 0.0 0.5 1.0 x 1 2 3 4 5 6 g(x) Figure 4: The plot of the functiong(x) =arccosx√ 1−x2, wherelim x→−1 g(x) =∞ andlim x→1 g(x) = 1.

Impact of Hill coefficient and time delay on a perceptual decision-making model -1.0 -0.5 0.0 0.5 1.0 x 1 2 3 4 5 6 g(x) Figure 4: The plot of the functiong(x) =arccosx√ 1−x2, wherelim x→−1 g(x) =∞ andlim x→1 g(x) = 1

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:57:59.977316Z

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 11151a41-9c08-4532-8424-377d00e4c073 · outbound

This paper cites The simulations were performed using Wolfram Mathematica 13.0 and the built-in delay differential equation solving tools.

Impact of Hill coefficient and time delay on a perceptual decision-making model The simulations were performed using Wolfram Mathematica 13.0 and the built-in delay differential equation solving tools

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:57:59.951596Z

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 8f052473-eaf9-456b-aaf9-87a89d375e60 · outbound

This paper cites [6] and then extended by Foryś et al.

Impact of Hill coefficient and time delay on a perceptual decision-making model [6] and then extended by Foryś et al

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:57:59.925661Z

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 e4477b7e-b085-4a5c-8e16-b2fffe0e4077 · outbound

This paper cites an unresolved cited work.

Impact of Hill coefficient and time delay on a perceptual decision-making model Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:57:59.899827Z

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 95d07000-099a-4ee4-8341-1f836c11dc15 · outbound

This paper cites an unresolved cited work.

Impact of Hill coefficient and time delay on a perceptual decision-making model Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:57:59.878643Z

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 da3fd58e-3cc0-4857-9af3-7913a9e9ffd2 · outbound

This paper cites Donchev and I.

Impact of Hill coefficient and time delay on a perceptual decision-making model Donchev and I

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:57:59.854232Z

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 34c93f36-7716-4596-b941-2796e1f408d6 · outbound

This paper cites Ermentrout and D.

Impact of Hill coefficient and time delay on a perceptual decision-making model Ermentrout and D

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:57:59.826112Z

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 b4bcf803-ac41-4a7c-b196-11d332cd3488 · outbound

This paper cites Foryś, N.

Impact of Hill coefficient and time delay on a perceptual decision-making model Foryś, N

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:57:59.801531Z

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 6bdb3442-70e2-44c4-b721-f6428fb8c9fd · outbound

This paper cites Piskała, M.

Impact of Hill coefficient and time delay on a perceptual decision-making model Piskała, M

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:57:59.774602Z

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 9fe25117-c3d4-4d71-ad2f-d9ca5bd9d753 · outbound

This paper cites an unresolved cited work.

Impact of Hill coefficient and time delay on a perceptual decision-making model Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:57:59.744506Z

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 cf21e879-f1eb-4283-97b9-48492c3024a0 · outbound

This paper cites an unresolved cited work.

Impact of Hill coefficient and time delay on a perceptual decision-making model Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:57:59.710456Z

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 c1977037-7374-47e2-aed6-5ba7c90caed5 · outbound

This paper cites an unresolved cited work.

Impact of Hill coefficient and time delay on a perceptual decision-making model Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:57:59.681335Z

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

Observation 4d54e57f-633a-4381-b930-1612d7abce4e · inbound