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Paper Citation Record · LEDGER

Cross Mutual Information

As of 24 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2507.15372.

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

pith.paper-citation-record.v1
2507.15372 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:38:50.092262Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

35 of 35 outbound references displayed

  • verified exact1
  • verified fuzzy22
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fd6a3fca-335b-422b-a3fa-9d96f987da8f · outbound

This paper cites Wiley, 2006.

Cross Mutual Information Wiley, 2006

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:38:55.915085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:38:47.499707Z digest=sha256:a81fdd0d4d4807c81ce15dc560b41ecd390cc46afdc1e44472392b07ba30efcd

Observation 35da5c4c-3c1b-4cdc-a698-b30f1309b26a · outbound

This paper cites Esti- mating mutual information.

Cross Mutual Information Esti- mating mutual information

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:38:55.716328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:38:47.611222Z digest=sha256:029710c6ce1b8ed23e093a63febc595c81dd6a367a0c4426fe9b12133e0e6435

Observation c13715a1-da67-455f-9378-f36f8349bcd2 · outbound

This paper cites ”Transmission of information: A statistical theory of communications.” American Journal of Physics 29.11 (1961): 793-794.

Cross Mutual Information ”Transmission of information: A statistical theory of communications.” American Journal of Physics 29.11 (1961): 793-794

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:38:55.575047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:38:47.698801Z digest=sha256:74c670e38d55a9dd25105c2dcaab35fc8bb3b28a6fa5ebe36f52e8b9a661700c

Observation 7036e306-d8df-4cb0-98bb-15c2e2764d98 · outbound

This paper cites Probabilistic machine learning: an introduction.

Cross Mutual Information Probabilistic machine learning: an introduction

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:38:55.405244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:38:47.796696Z digest=sha256:d59644d11bf53160352221d275a627c4578238e2d62457af9ae85d25b2be22c5

Observation b66d180b-78ff-41b1-b414-0653250309be · outbound

This paper cites Nonnegative Decomposition of Multivariate Information.

Cross Mutual Information Nonnegative Decomposition of Multivariate Information

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-06T15:38:47.881109Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:38:47.881109Z digest=sha256:d9eb85489714d38db8c4d5383b2565b55cbe93e0b3e08ab4ba71fc7215761c7d

Observation d9dad652-1e9f-4b02-b0b5-477646136d73 · outbound

This paper cites ”Information decomposition of target effects from multi-source interactions: Perspectives on previous, current and future work.” Entropy 20.4 (2018): 307.

Cross Mutual Information ”Information decomposition of target effects from multi-source interactions: Perspectives on previous, current and future work.” Entropy 20.4 (2018): 307

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:38:55.264255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:38:48.012022Z digest=sha256:659542f147647376c8e7eec8bbe0bc627ddca46b88705a3a2f515701f9e92471

Observation 7cf69f72-0748-4cbd-a0ed-e83d6532ee82 · outbound

This paper cites Gore, and Bradley S.

Cross Mutual Information Gore, and Bradley S

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:38:55.093014Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:38:48.099485Z digest=sha256:73c3ba1a35a3aca894ae4d8783c1cf24bdcfeaecb6c3962cf1977de9dff33e49

Observation 1008d3d2-ed12-48bc-afca-58d78f91f89f · outbound

This paper cites ”Cross Mutual Information Analysis of EEG Signals for Cognitive Task Discrimination.” Brazilian Technology Symposium.

Cross Mutual Information ”Cross Mutual Information Analysis of EEG Signals for Cognitive Task Discrimination.” Brazilian Technology Symposium

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:38:54.943686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:38:48.179373Z digest=sha256:60857e8a622f0fb6b990df1afba161b36aa9c95c878d97af1aa9648a3be83819

Observation 0be942bc-e18a-44c4-ba8a-f2d1f973bae9 · outbound

This paper cites It's Easier to Translate out of English than into it: Measuring Neural Translation Difficulty by Cross-Mutual Information.

Cross Mutual Information It's Easier to Translate out of English than into it: Measuring Neural Translation Difficulty by Cross-Mutual Information

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-06T15:38:50.256964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:38:48.275640Z digest=sha256:cc305298d8b7b2b7e9fd26db6636e7f792275eeff1839af967fd6d47161f563d

Observation 8c04d127-7689-4106-861b-a17ec0f8f275 · outbound

This paper cites Nasrabadi.

Cross Mutual Information Nasrabadi

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:38:54.744235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:38:48.338729Z digest=sha256:eaf8a52e6d4e3600e04b2f12e0ed81bbc38d277df471f4ec3a97764fbca1af2f

Observation 50918bad-1593-447f-9ecf-b191b14d216b · outbound

This paper cites Resampling methods for dependent data.

Cross Mutual Information Resampling methods for dependent data

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:38:54.600692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:38:48.415693Z digest=sha256:40f4a4ad7dd34871bcacbf798810739d38d9e5f6a05fc12cc138675ec4ca5462

Observation 9d7b1e15-6b82-41d8-adac-e7d3a0f967bb · outbound

This paper cites ”Assessing the significance of directed and multivariate measures of linear dependence between time series.” Physical Review Research 3.1 (2021): 013145.

Cross Mutual Information ”Assessing the significance of directed and multivariate measures of linear dependence between time series.” Physical Review Research 3.1 (2021): 013145

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:38:54.399137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:38:48.460980Z digest=sha256:75bfd305d7ef86d3fbc4fb9b9a9ba8b2b59b956e6b850facddb29e167e6e494c

Observation 4632987d-a5f6-4734-8125-c12845e1ccf9 · outbound

This paper cites an unresolved cited work.

Cross Mutual Information Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:38:54.266613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:38:48.531489Z digest=sha256:ba78b6309e0616a76748edf999c905d059fc490629971eb427ed82d00f4e4c50

Observation 883c43f9-8412-4705-a2a9-48919f36a242 · outbound

This paper cites ”Measuring information transfer.” Physical review letters 85.2 (2000): 461.

Cross Mutual Information ”Measuring information transfer.” Physical review letters 85.2 (2000): 461

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:38:54.042193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:38:48.603755Z digest=sha256:65135821b6936a2cf5988b0147902baa354ebcbe4390b21d033e29286aaf016b

Observation 69d0c193-6abc-4290-94a8-afa79ad9bd7f · outbound

This paper cites Transfer entropy.

Cross Mutual Information Transfer entropy

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:38:53.887691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:38:48.663324Z digest=sha256:0e5ccf0e02a4cacc2e00f72a163386b0071f975d17c634a64494cf78ee95778c

Observation 0fef5a45-3916-466c-ad61-7790c59319ac · outbound

This paper cites JIDT: An information-theoretic toolkit for studying the dynamics of complex systems.

Cross Mutual Information JIDT: An information-theoretic toolkit for studying the dynamics of complex systems

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:38:53.714869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:38:48.741217Z digest=sha256:c0fe1cd703d1d0b3800a45d2af2a9d40cd9836dcb4f2fdc46b5e5979df6363a7

Observation 1e64310e-9796-4b59-938e-005bf397f141 · outbound

This paper cites an unresolved cited work.

Cross Mutual Information Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:38:53.487591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:38:48.794758Z digest=sha256:e4eceab33a1a1b0b16cb43d60df0bb74933f14ba081ed5fb6a4cbd0dccb72f4e

Observation f6f23319-7531-4087-baef-b06d7c14f49a · outbound

This paper cites This provides a surrogate x time series.

Cross Mutual Information This provides a surrogate x time series

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:38:53.289151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:38:48.905723Z digest=sha256:1f44957600a0bd0e7db6ef303841afa9d15594f6591320bc5fa292da55dd5b31

Observation 1cb598c8-b018-4960-8f65-0f19071b9794 · outbound

This paper cites an unresolved cited work.

Cross Mutual Information Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:38:53.140015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:38:48.956993Z digest=sha256:72199cb5f38f46b25dad2a4623894555a133ee4ddda8c6aa0c5efcbc7ac31658

Observation ce69d8c8-4c66-45a6-8ab2-277ddcb70b3b · outbound

This paper cites an unresolved cited work.

Cross Mutual Information Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:38:52.944134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:38:49.017491Z digest=sha256:bbb4d396158c66d7438832f68bfb1f455373ba2e1244d8814f569a88c2477880

Observation 7a57a696-4bc8-4de3-8f5e-058316806fbe · outbound

This paper cites This provides a p-value for |I| > 0.

Cross Mutual Information This provides a p-value for |I| > 0

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:38:52.792779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:38:49.099630Z digest=sha256:48159cb297b72839c91a67da153e7a6c3ff3498d1e9d3c5968e01749dffe3b32

Observation 5fa9c835-e7bb-4259-bb0f-1a282b4dda92 · outbound

This paper cites 6 x[t]=0.8x[t∼1]+π y[t]=0.3y[t∼1]+0.6x[t∼1]+π x[t]=0.8x[t∼1]+π y[t]=0.9x[t∼1]+πA) B) C) Fig.

Cross Mutual Information 6 x[t]=0.8x[t∼1]+π y[t]=0.3y[t∼1]+0.6x[t∼1]+π x[t]=0.8x[t∼1]+π y[t]=0.9x[t∼1]+πA) B) C) Fig

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:38:52.620247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:38:49.172367Z digest=sha256:196b190feff0309022c9cc50163cc9e984fddf3329c01749be243438584bb95f

Observation 2f51b5ab-eee8-44f2-a524-425e0a91fabc · outbound

This paper cites There may be a different number of blocks for the reference and test system.

Cross Mutual Information There may be a different number of blocks for the reference and test system

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:38:52.401663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:38:49.245643Z digest=sha256:2ecad62e1c8f906c91a0179e546a35ab94b762f5c34392826f264af55f844782

Observation f8437832-5740-4b91-aea9-0216a8f5238b · outbound

This paper cites an unresolved cited work.

Cross Mutual Information Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:38:52.220250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:38:49.316319Z digest=sha256:66fede201a97f10bb3d2d68ff3c208a8c74c005877bd91498a399194f561ff62

Observation 72964483-d019-4059-9ce0-e2b551e16b8b · outbound

This paper cites an unresolved cited work.

Cross Mutual Information Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:38:52.025496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:38:49.366647Z digest=sha256:92c605985d9d6e25f8d1dc256c0f10046f9c4b6a66118be1137d13254f9eebd8

Observation edffeaac-38e4-42fd-bf87-f60093f2b0a2 · outbound

This paper cites an unresolved cited work.

Cross Mutual Information Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:38:51.849545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:38:49.437069Z digest=sha256:f2b831348b4cecf8818136e41daeac56a41658e50e0ed6108a97c489b4627a5b

Observation 18aba41f-6298-4694-9735-40c821925fed · outbound

This paper cites This provides a p- value for |∆Ipq| > 0.

Cross Mutual Information This provides a p- value for |∆Ipq| > 0

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:38:51.619145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:38:49.519758Z digest=sha256:1afa4cb2536eb07358f4b340ac4d99de4e9b996e5f68f558fd9751fe881ecffa

Observation deacda74-5b2e-4a36-aeed-42b40045613d · outbound

This paper cites an unresolved cited work.

Cross Mutual Information Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:38:51.464515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:38:49.570940Z digest=sha256:825d1a1348a38ce1ac6058578aa58911009e5a226894219d499f72d796397157

Observation 993506c7-6fd8-44e6-af60-d873c297f996 · outbound

This paper cites Note, we also rely on the dependence between X and Y in the reference data being non-zero to obtain a non-zero cross MI - see Sec.

Cross Mutual Information Note, we also rely on the dependence between X and Y in the reference data being non-zero to obtain a non-zero cross MI - see Sec

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:38:51.247211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:38:49.646133Z digest=sha256:162b58e349330c36de610b08bc97bfadece1420ceb1f18950c01459856cf0c69

Observation 4de92f7e-0490-4eab-97b0-b6331cb14207 · outbound

This paper cites an unresolved cited work.

Cross Mutual Information Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:38:51.095476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:38:49.720172Z digest=sha256:68f28285380a988696e4fa8b9916edecb2b2b624215e625c47c027bde764ee0f

Observation a5c90ac1-4653-402c-a6ca-67050993173a · outbound

This paper cites fraction of variance unexplained.

Cross Mutual Information fraction of variance unexplained

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:38:50.904412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:38:49.778981Z digest=sha256:b63f79b2d2f4b518b8e6042e4eb6e27a6d06d1457930993b595f0f3e80168ca6

Observation 92352497-93b6-4aff-a1ac-434c1fa54e79 · outbound

This paper cites an unresolved cited work.

Cross Mutual Information Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:38:50.768326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:38:49.861065Z digest=sha256:74ac4eb616737e597657dc5b566d02fbd8c240dab3632992cdd3ac22afae2809

Observation 03c9d66b-095f-4c1e-8455-36222c8c015b · outbound

This paper cites an unresolved cited work.

Cross Mutual Information Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:38:50.648296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:38:49.928533Z digest=sha256:68c2c5b300111f9e66458be123d6321e085182ebfff0caae30fe5c9af201b377

Observation dcff2ece-05d7-4bf5-a179-88ec38fb973d · outbound

This paper cites Quantitatively, for fixed y (constant q(y)), moving towards the trendline means q(y|x) increases which directly increases iq(x, y) in Eq.

Cross Mutual Information Quantitatively, for fixed y (constant q(y)), moving towards the trendline means q(y|x) increases which directly increases iq(x, y) in Eq

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:38:50.509241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:38:49.990656Z digest=sha256:992bfeddc107a677c44156875104f6835cd87518dc57179b819710cfcc25443d

Observation 32a9c590-9f70-46ad-990e-c83497e55df2 · outbound

This paper cites Quantitatively, q(y|x) is fixed along these parallels to the trendline, whilst q(y) decreases along these perpediculars; this directly increases iq(x, y) in Eq.

Cross Mutual Information Quantitatively, q(y|x) is fixed along these parallels to the trendline, whilst q(y) decreases along these perpediculars; this directly increases iq(x, y) in Eq

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:38:50.371492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:38:50.092262Z digest=sha256:7c74f0dc4b4e04803fda9617c8322e2765f6b68008c958f5ac6f9c9a562d6e99

Pith citing papers

No inbound Pith citation observations are available.