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Paper Citation Record · LEDGER

Mutual Information Rate -- Linear Noise Approximation and Exact Computation

As of 20 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.

pith.paper-citation-record.v1
2508.21220 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T14:35:15.536750Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

40 of 40 outbound references displayed

  • verified exact6
  • verified fuzzy17
  • unresolved17
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a362b9de-a51b-4103-a6cb-d5e7dad53228 · outbound

This paper cites The independent Gaussian white noise process ηs(t) sum- marizes all reactions that contribute to fluctuations in S.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:35:16.501613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T14:35:15.235795Z digest=sha256:14145995a38168426649afb5d6ac584cc67b62dc22a8c92aafdbbe91cf455a4a

Observation 64f61fb5-3b19-45b1-a1a5-6529de647d42 · outbound

This paper cites (A5) We define the activation level a(s) to be a Hill function, a(s) = s(t)n K n + s(t)n.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:35:16.485913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T14:35:15.246618Z digest=sha256:f42f55cd0d9c51a6676bcf61c789be86ca3676d15d6653009c838d125403873a

Observation 14cb944d-8328-4f71-93a1-a1979e8e7dd7 · outbound

This paper cites 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].

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:35:16.468726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 31899dda-db80-485e-842a-b1e15bb1cfd5 · outbound

This paper cites Any difference between the exact information rate and the Gaussian information rate must then be a result of the Gaussian approximation.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:35:16.452571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation d66354f3-ea40-4f9c-b2e4-543dfe46e27a · outbound

This paper cites Mutual information between in- and output trajectories of biochemical networks.

Mutual Information Rate -- Linear Noise Approximation and Exact Computation Mutual information between in- and output trajectories of biochemical networks

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-05T14:35:15.817540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 261cd889-cc46-4dfa-abd5-f0f927a10357 · outbound

This paper cites Tostevin and P.

Mutual Information Rate -- Linear Noise Approximation and Exact Computation Tostevin and P

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:35:16.434070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T14:35:15.287003Z digest=sha256:20abc10d70f4222bd858c010e45533eb0192d80d366b777cf4c2037aaebfe389

Observation 4222d339-56e2-48d8-87ed-39857c3a9ee9 · outbound

This paper cites an unresolved cited work.

Mutual Information Rate -- Linear Noise Approximation and Exact Computation Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-05T14:35:16.415312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T14:35:15.295365Z digest=sha256:3a4fffaea35bf5c7698fc9b05f60e98526f4efb476caa4330591b6cea258cc42

Observation 84f2e519-9357-4b32-85a2-45b04efd46a8 · outbound

This paper cites Moor and C.

Mutual Information Rate -- Linear Noise Approximation and Exact Computation Moor and C

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:35:16.394831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T14:35:15.300000Z digest=sha256:55b8cca24786171637f63ba33f31c9be34cd9a0a09088d3780f61a7c421c6d7a

Observation dca8827f-78d3-44bd-80c9-423d93eec82c · outbound

This paper cites Reinhardt, G.

Mutual Information Rate -- Linear Noise Approximation and Exact Computation Reinhardt, G

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:35:16.375687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 119b961d-b362-446f-a8a6-59da23817ed9 · outbound

This paper cites an unresolved cited work.

Mutual Information Rate -- Linear Noise Approximation and Exact Computation Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-05T14:35:16.356070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 6732997c-718c-43ed-baeb-5d03a5d94d58 · outbound

This paper cites an unresolved cited work.

Mutual Information Rate -- Linear Noise Approximation and Exact Computation Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-05T14:35:16.338741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 2fa9a495-c895-4a7b-b974-a2937d57da52 · outbound

This paper cites an unresolved cited work.

Mutual Information Rate -- Linear Noise Approximation and Exact Computation Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-05T14:35:16.322202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 78532460-b874-4b8c-b95e-d636004d0bd9 · outbound

This paper cites Strong, R.

Mutual Information Rate -- Linear Noise Approximation and Exact Computation Strong, R

Reference 13

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation f0977621-38ac-4ad3-b38c-0a8446c06099 · outbound

This paper cites an unresolved cited work.

Mutual Information Rate -- Linear Noise Approximation and Exact Computation Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-05T14:35:16.287438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation d8a3e985-4166-4bf8-8b29-21847dee5703 · outbound

This paper cites an unresolved cited work.

Mutual Information Rate -- Linear Noise Approximation and Exact Computation Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-05T14:35:16.268074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 89785fbf-a577-4339-a590-c504f3574778 · outbound

This paper cites Cheong, A.

Mutual Information Rate -- Linear Noise Approximation and Exact Computation Cheong, A

Reference 16

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation b84fd917-a3f0-423c-b30b-3adc1651362d · outbound

This paper cites an unresolved cited work.

Mutual Information Rate -- Linear Noise Approximation and Exact Computation Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-05T14:35:16.231623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 19b585a1-748b-4734-9332-7f73be9b4742 · outbound

This paper cites an unresolved cited work.

Mutual Information Rate -- Linear Noise Approximation and Exact Computation Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-05T14:35:16.212509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation e1803b03-0753-4f40-9146-c2f83677ef05 · outbound

This paper cites Chalk, O.

Mutual Information Rate -- Linear Noise Approximation and Exact Computation Chalk, O

Reference 19

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 6e37ddd4-5bd0-40ec-a18e-33064c1bb6e6 · outbound

This paper cites Bauer, M.

Mutual Information Rate -- Linear Noise Approximation and Exact Computation Bauer, M

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:35:16.178438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 47441759-ee3c-4ef7-ac7c-97deecb70ab2 · outbound

This paper cites Sachdeva, T.

Mutual Information Rate -- Linear Noise Approximation and Exact Computation Sachdeva, T

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:35:16.157944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T14:35:15.382416Z digest=sha256:07d7d4f66e189fe4db45f6a745f3cb3c75ac195ef98daa9df8939b76e51f037f

Observation bbdb4aeb-26ae-42ea-a29d-71b76e3ad6a3 · outbound

This paper cites an unresolved cited work.

Mutual Information Rate -- Linear Noise Approximation and Exact Computation Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-05T14:35:16.136251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T14:35:15.389430Z digest=sha256:2f9b54976d764e125576b060a7df8c2e3ad0f286f230ce23e4b692972613dda5

Observation b230ffba-9822-476b-8592-6b208b1dd8a0 · outbound

This paper cites an unresolved cited work.

Mutual Information Rate -- Linear Noise Approximation and Exact Computation Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-05T14:35:16.111701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 16c739ca-d90b-4a5b-b730-8789ec07e94e · outbound

This paper cites an unresolved cited work.

Mutual Information Rate -- Linear Noise Approximation and Exact Computation Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-05T14:35:16.091965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 373e13a4-b8ba-492d-9da6-3629543f2160 · outbound

This paper cites Information flow and optimization in transcriptional control.

Mutual Information Rate -- Linear Noise Approximation and Exact Computation Information flow and optimization in transcriptional control

Reference 25

Resolution
verified exact
local_arxiv, observed 2026-08-05T14:35:15.782506Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T14:35:15.416545Z digest=sha256:e1e0e8774a9ea85115e325c183d65ac41da6418d5bf8c14e1520d089ea49270c

Observation 4cb23b31-c1a2-44e0-bfc2-878921932aeb · outbound

This paper cites an unresolved cited work.

Mutual Information Rate -- Linear Noise Approximation and Exact Computation Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-05T14:35:16.070665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation b6e182fb-a5ac-4020-b4b4-6137eb091a08 · outbound

This paper cites an unresolved cited work.

Mutual Information Rate -- Linear Noise Approximation and Exact Computation Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-05T14:35:16.051153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T14:35:15.437583Z digest=sha256:69ebf24261a5d62c9379c1b86ffbea19a6ad78f7b522df18d2c35d6a49e97222

Observation c7ee190a-714d-42c5-b869-3a349a57ba22 · outbound

This paper cites State- versus Reaction-Based Information Processing in Biochemical Networks.

Mutual Information Rate -- Linear Noise Approximation and Exact Computation State- versus Reaction-Based Information Processing in Biochemical Networks

Reference 28

Resolution
verified exact
local_arxiv, observed 2026-08-05T14:35:15.632823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T14:35:15.452538Z digest=sha256:9400e3286b249e5563bd84db0ea7877674bb3e5c10611beeeed0ee73de445b63

Observation 54074416-8412-4424-a05a-bb7bfd8c0e3d · outbound

This paper cites The behaviour of information flow near criticality.

Mutual Information Rate -- Linear Noise Approximation and Exact Computation The behaviour of information flow near criticality

Reference 29

Resolution
verified exact
local_arxiv, observed 2026-08-05T14:35:15.748912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation ac23c31a-c03a-4f8d-8bf8-4febabe90ed8 · outbound

This paper cites Characterizing the non-monotonic behavior of mutual information along biochemical reaction cascades.

Mutual Information Rate -- Linear Noise Approximation and Exact Computation Characterizing the non-monotonic behavior of mutual information along biochemical reaction cascades

Reference 30

Resolution
verified exact
local_arxiv, observed 2026-08-05T14:35:15.673741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T14:35:15.469100Z digest=sha256:22a8d8952cb7023b45666eaaaa444fb68c70936d0059893ed477ceb8c341e2e8

Observation 1b0ef1a2-5ff7-49d9-b857-526c65f2277f · outbound

This paper cites Van Kampen, Stochastic processes in physics and chemistry (North Holland, Amsterdam, 1992).

Mutual Information Rate -- Linear Noise Approximation and Exact Computation Van Kampen, Stochastic processes in physics and chemistry (North Holland, Amsterdam, 1992)

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:35:16.031665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 2fcab202-9016-4316-9296-24a6324db33a · outbound

This paper cites Onsager and S.

Mutual Information Rate -- Linear Noise Approximation and Exact Computation Onsager and S

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:35:16.009583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T14:35:15.481727Z digest=sha256:5a9df7c5f5a0d7d4f0c61cf2ffc89ae6292cb32d57653aac1dfc4e91ee3e2a9b

Observation c323f455-740b-4b6a-a93c-d3bf5c9911cd · outbound

This paper cites an unresolved cited work.

Mutual Information Rate -- Linear Noise Approximation and Exact Computation Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-05T14:35:15.983354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T14:35:15.488945Z digest=sha256:b2d829516ddd069e7d96c26d505d1ec723ffd952fbbf854c90e901dcf66d945b

Observation 78024471-4a2e-4f1f-b560-801deeb60a23 · outbound

This paper cites an unresolved cited work.

Mutual Information Rate -- Linear Noise Approximation and Exact Computation Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-05T14:35:15.957547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T14:35:15.493959Z digest=sha256:5759227d9e93dfb3c75101948398d9757efcd7fddae8d990a11847bc71f66d18

Observation 656b22fe-e582-481d-8ae0-d56598448e08 · outbound

This paper cites Malaguti and P.

Mutual Information Rate -- Linear Noise Approximation and Exact Computation Malaguti and P

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:35:15.938825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T14:35:15.502380Z digest=sha256:e0812905ea90b542f9e296b0cef862c93a078d8422ba15af4500e84b7e68467a

Observation 3505fbac-936f-4e83-8d11-947a0b0095f1 · outbound

This paper cites an unresolved cited work.

Mutual Information Rate -- Linear Noise Approximation and Exact Computation Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-05T14:35:15.916359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T14:35:15.509847Z digest=sha256:dcdc9c4ab9925ab8bdacf85083c91d2afbbce4b47c8cec6ac1799daee137263f

Observation f19510e5-4d89-4be2-b89b-52557f0e3253 · outbound

This paper cites an unresolved cited work.

Mutual Information Rate -- Linear Noise Approximation and Exact Computation Unresolved cited work

Reference 37

Resolution
verified exact
doi, observed 2026-08-05T14:35:15.591781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T14:35:15.516968Z digest=sha256:44680996b7c27d65dcb32321dd7da2cc46a86de25f6d777a6c82ed5078314055

Observation 462c796c-d92f-4d18-9d55-5ad7a51e71e4 · outbound

This paper cites an unresolved cited work.

Mutual Information Rate -- Linear Noise Approximation and Exact Computation Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-05T14:35:15.891448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T14:35:15.523177Z digest=sha256:b1ca7a88927fbf2ea93fa59b72aa73927d7a977149c1208731d23f4233fac4d2

Observation 6b344048-15bb-41f1-9047-54edee0e7003 · outbound

This paper cites The bound specifically re- quires the Gaussian model to use the covariance of the full, original system.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:35:15.868571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T14:35:15.529801Z digest=sha256:7939d3f48087517d12ce4b8a2ae7c8fa16d1e0875d6694a14ac3189d93c07509

Observation b45e1796-c56f-46f8-a5c5-2baddc6a6497 · outbound

This paper cites T˘ anase-Nicola, P.

Mutual Information Rate -- Linear Noise Approximation and Exact Computation T˘ anase-Nicola, P

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:35:15.842321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T14:35:15.536750Z digest=sha256:9711e53fab81fa02b0b704ca16b2ebf0d8e2bcfaf8e331cd39d9dea64a22f638

Pith citing papers

No inbound Pith citation observations are available.