Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T14:35:15.536750Z
Paper Citation Record · LEDGER
As of 11 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2508.21220.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T14:35:15.536750Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
40 of 40 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation a362b9de-a51b-4103-a6cb-d5e7dad53228 · outbound
Mutual Information Rate -- Linear Noise Approximation and Exact Computation The independent Gaussian white noise process ηs(t) sum- marizes all reactions that contribute to fluctuations in S
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 64f61fb5-3b19-45b1-a1a5-6529de647d42 · outbound
Mutual Information Rate -- Linear Noise Approximation and Exact Computation (A5) We define the activation level a(s) to be a Hill function, a(s) = s(t)n K n + s(t)n
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 14cb944d-8328-4f71-93a1-a1979e8e7dd7 · outbound
Mutual Information Rate -- Linear Noise Approximation and Exact Computation If the intrinsic noise of the network is not cor- related to the process that drives the signal, the power spectrum of the network output obeys the spectral ad- dition rule [36]
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 31899dda-db80-485e-842a-b1e15bb1cfd5 · outbound
Mutual Information Rate -- Linear Noise Approximation and Exact Computation Any difference between the exact information rate and the Gaussian information rate must then be a result of the Gaussian approximation
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d66354f3-ea40-4f9c-b2e4-543dfe46e27a · outbound
Mutual Information Rate -- Linear Noise Approximation and Exact Computation Mutual information between in- and output trajectories of biochemical networks
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 261cd889-cc46-4dfa-abd5-f0f927a10357 · outbound
Mutual Information Rate -- Linear Noise Approximation and Exact Computation Tostevin and P
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 4222d339-56e2-48d8-87ed-39857c3a9ee9 · outbound
Mutual Information Rate -- Linear Noise Approximation and Exact Computation Unresolved cited work
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 84f2e519-9357-4b32-85a2-45b04efd46a8 · outbound
Mutual Information Rate -- Linear Noise Approximation and Exact Computation Moor and C
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation dca8827f-78d3-44bd-80c9-423d93eec82c · outbound
Mutual Information Rate -- Linear Noise Approximation and Exact Computation Reinhardt, G
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 119b961d-b362-446f-a8a6-59da23817ed9 · outbound
Mutual Information Rate -- Linear Noise Approximation and Exact Computation Unresolved cited work
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6732997c-718c-43ed-baeb-5d03a5d94d58 · outbound
Mutual Information Rate -- Linear Noise Approximation and Exact Computation Unresolved cited work
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2fa9a495-c895-4a7b-b974-a2937d57da52 · outbound
Mutual Information Rate -- Linear Noise Approximation and Exact Computation Unresolved cited work
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 78532460-b874-4b8c-b95e-d636004d0bd9 · outbound
Mutual Information Rate -- Linear Noise Approximation and Exact Computation Strong, R
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f0977621-38ac-4ad3-b38c-0a8446c06099 · outbound
Mutual Information Rate -- Linear Noise Approximation and Exact Computation Unresolved cited work
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d8a3e985-4166-4bf8-8b29-21847dee5703 · outbound
Mutual Information Rate -- Linear Noise Approximation and Exact Computation Unresolved cited work
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 89785fbf-a577-4339-a590-c504f3574778 · outbound
Mutual Information Rate -- Linear Noise Approximation and Exact Computation Cheong, A
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b84fd917-a3f0-423c-b30b-3adc1651362d · outbound
Mutual Information Rate -- Linear Noise Approximation and Exact Computation Unresolved cited work
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 19b585a1-748b-4734-9332-7f73be9b4742 · outbound
Mutual Information Rate -- Linear Noise Approximation and Exact Computation Unresolved cited work
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation e1803b03-0753-4f40-9146-c2f83677ef05 · outbound
Mutual Information Rate -- Linear Noise Approximation and Exact Computation Chalk, O
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6e37ddd4-5bd0-40ec-a18e-33064c1bb6e6 · outbound
Mutual Information Rate -- Linear Noise Approximation and Exact Computation Bauer, M
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 47441759-ee3c-4ef7-ac7c-97deecb70ab2 · outbound
Mutual Information Rate -- Linear Noise Approximation and Exact Computation Sachdeva, T
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation bbdb4aeb-26ae-42ea-a29d-71b76e3ad6a3 · outbound
Mutual Information Rate -- Linear Noise Approximation and Exact Computation Unresolved cited work
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b230ffba-9822-476b-8592-6b208b1dd8a0 · outbound
Mutual Information Rate -- Linear Noise Approximation and Exact Computation Unresolved cited work
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 16c739ca-d90b-4a5b-b730-8789ec07e94e · outbound
Mutual Information Rate -- Linear Noise Approximation and Exact Computation Unresolved cited work
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 373e13a4-b8ba-492d-9da6-3629543f2160 · outbound
Mutual Information Rate -- Linear Noise Approximation and Exact Computation Information flow and optimization in transcriptional control
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 4cb23b31-c1a2-44e0-bfc2-878921932aeb · outbound
Mutual Information Rate -- Linear Noise Approximation and Exact Computation Unresolved cited work
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b6e182fb-a5ac-4020-b4b4-6137eb091a08 · outbound
Mutual Information Rate -- Linear Noise Approximation and Exact Computation Unresolved cited work
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c7ee190a-714d-42c5-b869-3a349a57ba22 · outbound
Mutual Information Rate -- Linear Noise Approximation and Exact Computation State- versus Reaction-Based Information Processing in Biochemical Networks
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 54074416-8412-4424-a05a-bb7bfd8c0e3d · outbound
Mutual Information Rate -- Linear Noise Approximation and Exact Computation The behaviour of information flow near criticality
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation ac23c31a-c03a-4f8d-8bf8-4febabe90ed8 · outbound
Mutual Information Rate -- Linear Noise Approximation and Exact Computation Characterizing the non-monotonic behavior of mutual information along biochemical reaction cascades
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1b0ef1a2-5ff7-49d9-b857-526c65f2277f · outbound
Mutual Information Rate -- Linear Noise Approximation and Exact Computation Van Kampen, Stochastic processes in physics and chemistry (North Holland, Amsterdam, 1992)
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2fcab202-9016-4316-9296-24a6324db33a · outbound
Mutual Information Rate -- Linear Noise Approximation and Exact Computation Onsager and S
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c323f455-740b-4b6a-a93c-d3bf5c9911cd · outbound
Mutual Information Rate -- Linear Noise Approximation and Exact Computation Unresolved cited work
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 78024471-4a2e-4f1f-b560-801deeb60a23 · outbound
Mutual Information Rate -- Linear Noise Approximation and Exact Computation Unresolved cited work
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 656b22fe-e582-481d-8ae0-d56598448e08 · outbound
Mutual Information Rate -- Linear Noise Approximation and Exact Computation Malaguti and P
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 3505fbac-936f-4e83-8d11-947a0b0095f1 · outbound
Mutual Information Rate -- Linear Noise Approximation and Exact Computation Unresolved cited work
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f19510e5-4d89-4be2-b89b-52557f0e3253 · outbound
Mutual Information Rate -- Linear Noise Approximation and Exact Computation Unresolved cited work
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 462c796c-d92f-4d18-9d55-5ad7a51e71e4 · outbound
Mutual Information Rate -- Linear Noise Approximation and Exact Computation Unresolved cited work
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6b344048-15bb-41f1-9047-54edee0e7003 · outbound
Mutual Information Rate -- Linear Noise Approximation and Exact Computation The bound specifically re- quires the Gaussian model to use the covariance of the full, original system
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b45e1796-c56f-46f8-a5c5-2baddc6a6497 · outbound
Mutual Information Rate -- Linear Noise Approximation and Exact Computation T˘ anase-Nicola, P
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
No inbound Pith citation observations are available.