Pith. sign in

Paper Citation Record · LEDGER

Shannon invariants: A scalable approach to information decomposition

As of 18 August 2026, this Paper Citation Record lists 72 of 72 outbound references and 4 inbound Pith citation observations for arXiv:2504.15779.

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

pith.paper-citation-record.v1
2504.15779 v1

Coverage vector

measured 72 of 72 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:25:10.272726Z

measured 76 of 76 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T00:14:42.246691Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-30T06:14:19.372636Z

Reference resolution

72 of 72 outbound references displayed

  • verified exact6
  • verified fuzzy27
  • unresolved39
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c1a58240-2335-456c-bba8-fd51e3ea96e6 · outbound

This paper cites redundancy lattice.

Shannon invariants: A scalable approach to information decomposition redundancy lattice

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:25:10.960647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.046180Z digest=sha256:3bc4df1e163dbf678b94d5eef0e02a44389ece8be3ecdab6e485c027afb01198

Observation 5e957653-f0f8-4a2a-888d-dc15c78fff8a · outbound

This paper cites an unresolved cited work.

Shannon invariants: A scalable approach to information decomposition Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:25:10.951285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.050865Z digest=sha256:3781106d2a3eea43f1a15cdb6ffbd1c63d4138e9bf9cb0355a1cb478b36a9468

Observation c17e0811-4e78-46b0-89d9-33e22d05311e · outbound

This paper cites I (0) r I(X;Y ) > 0.5.

Shannon invariants: A scalable approach to information decomposition I (0) r I(X;Y ) > 0.5

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:25:10.942291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.054446Z digest=sha256:79ccda669a88e7af931685b0ecf62d8c18e215bc6d704e7547d22f8564a02bac

Observation 8103c4b3-4925-49f1-8fdc-9fd1ce40fdee · outbound

This paper cites I (0) v > 0.

Shannon invariants: A scalable approach to information decomposition I (0) v > 0

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:25:10.933609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.058089Z digest=sha256:c137d1227746477fa3dd1b66477384f1fce3badb65edaf1888de0764430547b7

Observation 3a3d2e7e-445c-4713-b464-0dd96103cd1f · outbound

This paper cites I (0) v I(X;Y ) > 0.5.

Shannon invariants: A scalable approach to information decomposition I (0) v I(X;Y ) > 0.5

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:25:10.924564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.061238Z digest=sha256:b6bec88ff991f43ee3fa74d1a4132e1891b1fbd4136e0db1ac64858688b41d89

Observation 5142dd4e-83a5-47e5-9594-360f695b1b88 · outbound

This paper cites an unresolved cited work.

Shannon invariants: A scalable approach to information decomposition Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:25:10.915777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.064440Z digest=sha256:d531e6a10b721b7c016a0b179ebd3e1b01ad543bfc271e01c47e3e268717638c

Observation dbaddf90-6e6c-45de-8cce-35fa898b0e77 · outbound

This paper cites Pn k=2I (k) r I(X;Y ) > 0.5.

Shannon invariants: A scalable approach to information decomposition Pn k=2I (k) r I(X;Y ) > 0.5

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:25:10.907279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.067796Z digest=sha256:1322cc33546026e7680259f9c830fcfa22f3879f8a47849e864f031bd77aa7c0

Observation fe8e6020-b272-4998-a086-5d1f9c8ad598 · outbound

This paper cites an unresolved cited work.

Shannon invariants: A scalable approach to information decomposition Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:25:10.898617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.071239Z digest=sha256:4ebc143066551b59988056e4954b3f2504259f0892ae34632abd7c2037036be5

Observation 3784ff62-9cda-4489-9104-652b9f1b1503 · outbound

This paper cites Labelled faces in the Wild.

Shannon invariants: A scalable approach to information decomposition Labelled faces in the Wild

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:25:10.889916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.074226Z digest=sha256:c6eaf35a23d998e590bc811e0bd0a8ae7a0ec2cab7e8c6267da391e29fa1487f

Observation 49e7c209-779e-4e65-8fcb-7670e603e20c · outbound

This paper cites an unresolved cited work.

Shannon invariants: A scalable approach to information decomposition Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:25:10.881095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.077753Z digest=sha256:19c7a948d2f4d33559c695cb745cbf9a567de2543c0b4a4a2fa0de7e1cb23bfc

Observation 169efec8-35aa-471e-b6e6-d04b31496f09 · outbound

This paper cites Gleick,The information: A history, a theory, a flood (Vintage, 2011).

Shannon invariants: A scalable approach to information decomposition Gleick,The information: A history, a theory, a flood (Vintage, 2011)

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:25:10.872149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.081011Z digest=sha256:a3958242b42906d9faf486bb13d459e2d2b7b3b110d7e9569c6a8464d80287ed

Observation c0909d68-3578-4090-a795-2f43e27aac5e · outbound

This paper cites an unresolved cited work.

Shannon invariants: A scalable approach to information decomposition Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:25:10.863142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.084136Z digest=sha256:19ded57622b1df0460e11d97db1d703155147da2b0367720f663d36e7543e498

Observation 5189cb42-14dd-466e-8f15-e1bda0c0cfae · outbound

This paper cites Quantifying Hierarchical Selection.

Shannon invariants: A scalable approach to information decomposition Quantifying Hierarchical Selection

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-08-16T11:25:10.419263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.087451Z digest=sha256:ae02ae51184dee6e79f6e5213baa1725598cf8d9b74f9c83c8f0a2818cfc061b

Observation da96bdfb-cfbc-4b65-9efa-5d1a30c15471 · outbound

This paper cites Cang and Q.

Shannon invariants: A scalable approach to information decomposition Cang and Q

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:25:10.853918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.090775Z digest=sha256:c49f80f78fafd235a976a1d1900ab89a2bc3974d01a490e9305f03c731f70a0f

Observation 1f0f4c0b-5082-44a3-94b7-76d838c057c6 · outbound

This paper cites an unresolved cited work.

Shannon invariants: A scalable approach to information decomposition Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:25:10.844390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.093890Z digest=sha256:5ae528602e1c3eef4fc5efc93c09343afceda36333ad466aed62732da368b0f2

Observation 70ed0022-2a2f-4d22-8255-264bb8d80c02 · outbound

This paper cites An information-theoretic approach to hypergraph psychometrics.

Shannon invariants: A scalable approach to information decomposition An information-theoretic approach to hypergraph psychometrics

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-16T11:25:10.406159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.096708Z digest=sha256:b4f47c32c4e546764c8b93842e0fc99460ef9ddf5217d16fbf56ef612e5d6552

Observation 197a89b6-9138-452e-a909-a0a46d258687 · outbound

This paper cites an unresolved cited work.

Shannon invariants: A scalable approach to information decomposition Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:25:10.834348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.100184Z digest=sha256:b722af3f7d8645c41e17794a2d8d636a172205871749bbfb73e1069b4dc7120f

Observation c04697dc-95c8-41b5-baa7-c0f4c2ff7f38 · outbound

This paper cites Rosas, P.

Shannon invariants: A scalable approach to information decomposition Rosas, P

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:25:10.825301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.103099Z digest=sha256:cba7551c208ce23ce5181feebb0f1dcd26ba29c3bdfdfa43ac5b049eafa0c9d7

Observation 5fa5cdbd-351e-4994-ab7c-98f768292212 · outbound

This paper cites an unresolved cited work.

Shannon invariants: A scalable approach to information decomposition Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:25:10.816142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.106262Z digest=sha256:381a114563f1b5dc66a9e2ebd65f9a6377c7008415a6fbe6ebf45345e9054369

Observation b484cbfe-3c7f-4484-aaa8-34719f1e8bf2 · outbound

This paper cites Scagliarini, D.

Shannon invariants: A scalable approach to information decomposition Scagliarini, D

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:25:10.807027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.109294Z digest=sha256:92363b07005c9e16daacc9e86fb0497bf9bae4a84e3f13b45ecac1a6c8f8da77

Observation ab697ba5-96fe-4b0a-903d-df263783a76c · outbound

This paper cites Gatica, R.

Shannon invariants: A scalable approach to information decomposition Gatica, R

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:25:10.797564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.112244Z digest=sha256:19f8e007126d6a361460b73f9a779a3c28d8259d3afb5b4ccd3e549c754fa8e5

Observation cd65a92b-cfc7-47d6-a941-428a3b98dd4e · outbound

This paper cites an unresolved cited work.

Shannon invariants: A scalable approach to information decomposition Unresolved cited work

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-16T11:25:10.115322Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T11:25:10.115322Z digest=sha256:6c1d1a601a2887e292733efcbbe51fdd82d0147d2f1c5c3fde96d0998d2c06b3

Observation d8d2c57b-7baa-4806-bae7-bffbe9d54c8c · outbound

This paper cites an unresolved cited work.

Shannon invariants: A scalable approach to information decomposition Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:25:10.783073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.118126Z digest=sha256:e3bf77ea1688966bb68cf369523e607fbe00790776757e0c76c0d91a2e15b573

Observation ea020aa6-d040-4994-8dde-b07d44c8fc06 · outbound

This paper cites an unresolved cited work.

Shannon invariants: A scalable approach to information decomposition Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:25:10.773947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.121200Z digest=sha256:2324fb9b586f31288fea9cf03f19e9083f2a3ff42c5c26d076b24867290be205

Observation 058207c0-59ca-45c6-9eb6-845340047d25 · outbound

This paper cites Nolan, P.

Shannon invariants: A scalable approach to information decomposition Nolan, P

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:25:10.764225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.124122Z digest=sha256:9c6eb9f4ad928ff51f4ce4ecea463c408eb7c668423b0c23d91a964cf0c58d01

Observation 93bea0cf-2257-4638-ba2b-07c30ff1d6a6 · outbound

This paper cites an unresolved cited work.

Shannon invariants: A scalable approach to information decomposition Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:25:10.754910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.126969Z digest=sha256:2df47eb73b43d2db83a876aab119c0cb19c2f274bbf8a070dd9079910ebe99c2

Observation 5a7ee81f-4755-4471-877f-5a78690e6375 · outbound

This paper cites an unresolved cited work.

Shannon invariants: A scalable approach to information decomposition Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:25:10.745928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.129900Z digest=sha256:331888079264004795e47b1d935355d53796ed074a5ed43c3f86583bbd51b0c6

Observation 560bbf70-434a-4070-bc6c-c8bb1aeacca6 · outbound

This paper cites an unresolved cited work.

Shannon invariants: A scalable approach to information decomposition Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:25:10.736984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.133302Z digest=sha256:26b1867a8ca0236d1003dd39fefaa644a36ec35f8248878e2cace52f5bd4068e

Observation d1877508-3e2d-477b-8c29-abb09ea3f303 · outbound

This paper cites Synergistic information supports modality integration and flexible learning in neural networks solving multiple tasks.

Shannon invariants: A scalable approach to information decomposition Synergistic information supports modality integration and flexible learning in neural networks solving multiple tasks

Reference 29

Resolution
verified exact
local_arxiv, observed 2026-08-16T11:25:10.393047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.136243Z digest=sha256:b283e46cacc482cf6e3b08eef88cf87c9ee963aa0879f03d19e3e02062433076

Observation 50c148ef-51ff-4f0f-aa21-6bca23028e62 · outbound

This paper cites Kaplanis, P.

Shannon invariants: A scalable approach to information decomposition Kaplanis, P

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:25:10.727374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.139613Z digest=sha256:f7bb8cf08bce60179b6ead696602aeb460d7ea0ded6a0c92fa90641e62ef7859

Observation c6ff0c2f-71d7-48b5-aff3-bfea6e5a834b · outbound

This paper cites Interpretable Diffusion via Information Decomposition.

Shannon invariants: A scalable approach to information decomposition Interpretable Diffusion via Information Decomposition

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-16T11:25:10.142636Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T11:25:10.142636Z digest=sha256:bac029c9dedad335ce4f697708f5f8659d99c94ec8eacef5675f8ef36ed0f2c2

Observation 3ad52d46-562c-4567-b148-118a622aad4c · outbound

This paper cites an unresolved cited work.

Shannon invariants: A scalable approach to information decomposition Unresolved cited work

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-16T11:25:10.145901Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T11:25:10.145901Z digest=sha256:035fdc14cb985f6c6a4354989c398b7c435e9038f20083d1f7ba6aaadca91aed

Observation 3a4b550b-d5c3-4768-b977-12275c591b67 · outbound

This paper cites Nonnegative Decomposition of Multivariate Information.

Shannon invariants: A scalable approach to information decomposition Nonnegative Decomposition of Multivariate Information

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-16T11:25:10.148711Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T11:25:10.148711Z digest=sha256:cb659be1193a9374682ecba80bd5bb518f7333230bfa1a26be41bd79c6185dbb

Observation 7d5080f3-a0d0-4ee2-8a8f-f6d488053274 · outbound

This paper cites Information decomposition of target effects from multi- source interactions: Perspectives on previous, current and future work,.

Shannon invariants: A scalable approach to information decomposition Information decomposition of target effects from multi- source interactions: Perspectives on previous, current and future work,

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:25:10.711386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.151971Z digest=sha256:c11508997c5082fa98f4630fb835219580e1b4da79ba337aa2991fbf7c4ce1fc

Observation 8674b342-46b1-4c48-b51d-dc5b466743a3 · outbound

This paper cites Towards an extended taxonomy of information dynamics via Integrated Information Decomposition.

Shannon invariants: A scalable approach to information decomposition Towards an extended taxonomy of information dynamics via Integrated Information Decomposition

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-16T11:25:10.154728Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T11:25:10.154728Z digest=sha256:b3df27877f9caf688b06f1fcbfc5b00737a5f8434d114159cbd60368878dd00e

Observation 276ffaae-4e53-46d6-9ca4-423bb32e41b4 · outbound

This paper cites an unresolved cited work.

Shannon invariants: A scalable approach to information decomposition Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:25:10.701742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.159095Z digest=sha256:5f2a69eec524de6c47690a344ac987901082deefb9b118d518f5bcac6018325c

Observation fd6ffc28-ce51-4aa4-b01d-0424446f6711 · outbound

This paper cites an unresolved cited work.

Shannon invariants: A scalable approach to information decomposition Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:25:10.692393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.162051Z digest=sha256:976687904034132668c407bf4c06c62af8d03cae883ad50529dcb1d81f8fcf11

Observation 2b3ba12e-914a-48dc-9cc0-2a064be84208 · outbound

This paper cites Makkeh, M.

Shannon invariants: A scalable approach to information decomposition Makkeh, M

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:25:10.682910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.164871Z digest=sha256:0eaec7844a77466adbf61f3b3525f1e55ca49b10be998315c0d58a4b54e0835f

Observation 6e5ca104-da0d-444f-a4a1-2b4bf8de5b3f · outbound

This paper cites Wibral, V.

Shannon invariants: A scalable approach to information decomposition Wibral, V

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-16T11:25:10.167799Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T11:25:10.167799Z digest=sha256:926f90a56adc5e0a6b334741b9dc90bfa2ee703b62db34d5cce475fe35dea67d

Observation 10e3719a-b660-4630-8a6b-04a47072d973 · outbound

This paper cites an unresolved cited work.

Shannon invariants: A scalable approach to information decomposition Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:25:10.667853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.170810Z digest=sha256:e9168fd1eb0de65a25107b7ac2fd36d06ddd7a30575790a2957d430016d05afc

Observation b43dea2f-660c-4cb9-aa1e-eccc6f336063 · outbound

This paper cites an unresolved cited work.

Shannon invariants: A scalable approach to information decomposition Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:25:10.658100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.173711Z digest=sha256:6ff863ea12ac5e44262ec3ca9c05d81e760f89fbae2738b9507769ecbe3f0e0b

Observation fecfd249-e256-4423-8ef7-2a4b40e6adc6 · outbound

This paper cites Finn and J.

Shannon invariants: A scalable approach to information decomposition Finn and J

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:25:10.648772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.176545Z digest=sha256:8e8be382b71d6a743b74861c5c8f112de164a9805b6edad12da87326aa37187c

Observation fdfc1597-9e2b-4d0a-a145-ef442201b5f1 · outbound

This paper cites Makkeh, A.

Shannon invariants: A scalable approach to information decomposition Makkeh, A

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-16T11:25:10.179521Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T11:25:10.179521Z digest=sha256:77c8678e2ca2b4b0f69da5398f0ed6a4eb636f60daa10023a437f4479db0f84f

Observation e4aa2dde-ee33-47d2-8e6e-031867506094 · outbound

This paper cites Kolchinsky, Entropy24, 403 (2022).

Shannon invariants: A scalable approach to information decomposition Kolchinsky, Entropy24, 403 (2022)

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:25:10.633682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.182705Z digest=sha256:b346f870ba545abdead315f5f39aa6abfcb1955dd5ade17c85f11ffd356b59a4

Observation 43d9c317-5d03-4bb2-9128-275cc5c6cf1e · outbound

This paper cites an unresolved cited work.

Shannon invariants: A scalable approach to information decomposition Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:25:10.623913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.185579Z digest=sha256:bb5298fea06e3bb4756acefe846051ad0b8b59bf29417bf1984bd20863f0fa02

Observation 323428b3-e093-4bb4-937d-0d36accf2ea3 · outbound

This paper cites an unresolved cited work.

Shannon invariants: A scalable approach to information decomposition Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:25:10.613335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.188507Z digest=sha256:268fdb337ec7f84cf9e96541ec8d1a58e2d42b4eaf0e7dc67aa7ba7805eaced6

Observation 43229237-d591-4c6e-bcfb-164711bd59c6 · outbound

This paper cites The Fast M\"obius Transform: An algebraic approach to information decomposition.

Shannon invariants: A scalable approach to information decomposition The Fast M\"obius Transform: An algebraic approach to information decomposition

Reference 47

Resolution
verified exact
local_arxiv, observed 2026-08-16T11:25:10.351844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.191444Z digest=sha256:4130681159a058a4937cc4375e701760887f7ba4f47687b221db741baf129345

Observation 4c87cdd1-4e6e-4f90-9f38-cfda517d5211 · outbound

This paper cites an unresolved cited work.

Shannon invariants: A scalable approach to information decomposition Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:25:10.603034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.194637Z digest=sha256:7d7612da10f52c2c0483c094e84e64f530380fca4a54fdb55861228032b913c3

Observation 50633c0a-5cd4-4dac-bfc6-aac41e9b1b36 · outbound

This paper cites an unresolved cited work.

Shannon invariants: A scalable approach to information decomposition Unresolved cited work

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-16T11:25:10.197419Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T11:25:10.197419Z digest=sha256:414b922d644055a3de89e40918ede267bf7f78a2911b5162f3af337f81f31e42

Observation 18990aa1-1ca9-4379-ba81-7e35f2a9f86b · outbound

This paper cites Software in the natural world: A computational approach to hierarchical emergence.

Shannon invariants: A scalable approach to information decomposition Software in the natural world: A computational approach to hierarchical emergence

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-16T11:25:10.200508Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T11:25:10.200508Z digest=sha256:90fe335f061403bf57d742ff4c2ec66fc2773f80cd8ec02d8a2aaa655587ece0

Observation d07294e7-dd60-42aa-9734-ddaa47eecba8 · outbound

This paper cites Timme, W.

Shannon invariants: A scalable approach to information decomposition Timme, W

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:25:10.578047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.206795Z digest=sha256:ae70c2563d2826efb293d4c3dbe95f32a7772942e0b554abb061729f93f87c1e

Observation 5e796ca2-1976-4f1f-901d-32839a4a1606 · outbound

This paper cites Characterising directed and undirected metrics of high-order interdependence.

Shannon invariants: A scalable approach to information decomposition Characterising directed and undirected metrics of high-order interdependence

Reference 53

Resolution
verified exact
local_arxiv, observed 2026-08-16T11:25:10.328841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.209724Z digest=sha256:70014ff75f994dc9bf584c249b465a701e62f36485b8dcab865d57b1b2c10d73

Observation bfacd826-ae89-4faf-9e82-03b32d655d78 · outbound

This paper cites an unresolved cited work.

Shannon invariants: A scalable approach to information decomposition Unresolved cited work

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-16T11:25:10.213312Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T11:25:10.213312Z digest=sha256:1b47f87d23c99c37b6a54c2098749b15396a91eddeb7450fbd1356c4bec23456

Observation f0dfbf9f-d6f4-48f3-8a24-9f2fe5cd9bcf · outbound

This paper cites an unresolved cited work.

Shannon invariants: A scalable approach to information decomposition Unresolved cited work

Reference 55

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:25:10.561960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.216203Z digest=sha256:fc6dbe79f7b012fc9b8771650cb94f237c6eeab8059105ae119e1f18db9ca7f2

Observation 510c8203-d62d-4dd1-9050-44466c3d9d57 · outbound

This paper cites McGill, Transactions of the IRE Professional Group on Information Theory4, 93 (1954).

Shannon invariants: A scalable approach to information decomposition McGill, Transactions of the IRE Professional Group on Information Theory4, 93 (1954)

Reference 56

Resolution
unresolved
no resolver link, observed 2026-08-16T11:25:10.219074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T11:25:10.219074Z digest=sha256:3ce881cffe90137a7efdfa4add73d750d7cf0339e53e96ec57ed445f77d8c0ca

Observation 1ef47cfd-7ff0-48a5-8e53-a8c11bc8812d · outbound

This paper cites an unresolved cited work.

Shannon invariants: A scalable approach to information decomposition Unresolved cited work

Reference 57

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:25:10.547054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.222257Z digest=sha256:abd2cb1bd34d0926b256b0abba864995634de6f4e9035175c745ed2f21b732a1

Observation ae208f42-7653-4a31-942c-a6d5466958cb · outbound

This paper cites Chechik, A.

Shannon invariants: A scalable approach to information decomposition Chechik, A

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:25:10.587582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.225204Z digest=sha256:9ceab62da7a030ec43dc3c36692a42f4b298701cf3b44886ba725023bcac390a

Observation 655e8410-9a4e-4e2a-ba95-805180f377d8 · outbound

This paper cites Brenner, S.

Shannon invariants: A scalable approach to information decomposition Brenner, S

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:25:10.537941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.228031Z digest=sha256:910655522d118ddc1f641b839df518f4dfcb51fa6eb9c6f2c4376063acfdd46e

Observation 8bbad625-82f5-4782-9e29-b2de72cf3262 · outbound

This paper cites an unresolved cited work.

Shannon invariants: A scalable approach to information decomposition Unresolved cited work

Reference 60

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:25:10.528741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.231914Z digest=sha256:8b68f3983d4d8c23527a5b0ad01e983e594e2721a7e54bbaf82e53070500435f

Observation 41a420a0-f90b-45ae-bcab-30854f47b850 · outbound

This paper cites Griffith and C.

Shannon invariants: A scalable approach to information decomposition Griffith and C

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:25:10.519131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.234768Z digest=sha256:4865ef108db1b3b06eb42ff85f61c96634c74bd87a162debc53b4ee2ed43a736

Observation 7e98678e-f367-4ada-9533-0e8ebad07bb0 · outbound

This paper cites Yang and J.

Shannon invariants: A scalable approach to information decomposition Yang and J

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:25:10.510011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.237949Z digest=sha256:0116fb469b538704d43a91bd4868c2de2e8d8fd4fffd006ee2e0888b8e11ab57

Observation fe6e4cf5-42ad-4163-8e73-9011822ab30a · outbound

This paper cites Mares, C.

Shannon invariants: A scalable approach to information decomposition Mares, C

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:25:10.500584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.240832Z digest=sha256:7290d5c518770dcbd280466c4d3b47b7ae2508f93c3a90aa5ade134521c3f1c9

Observation 8340d705-4f97-4c77-a68b-715b0f96024e · outbound

This paper cites Mares, V.

Shannon invariants: A scalable approach to information decomposition Mares, V

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:25:10.491036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.243642Z digest=sha256:87dff13c53532bc6a9b19807296ac09dbded567955c3cfa746c154cf576a947f

Observation 39c5cf03-1200-43fb-aca7-72c0a2d8d390 · outbound

This paper cites Luecke, X.

Shannon invariants: A scalable approach to information decomposition Luecke, X

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:25:10.481838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.246798Z digest=sha256:7f0045c46354b20ff0625e3904f05daa6ae5d2eef4cad6c9aa0e20b4b8c59bee

Observation afb032a0-5b93-444c-ac08-51f4bda4a76e · outbound

This paper cites an unresolved cited work.

Shannon invariants: A scalable approach to information decomposition Unresolved cited work

Reference 66

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:25:10.471701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.249944Z digest=sha256:0c54c41519de7916767c2a65c981cc1ba46f3130b232a33adb4c0f1613f7aabd

Observation 3ae27483-a03c-4549-bbb0-318a8722cd18 · outbound

This paper cites Goldfeld, E.

Shannon invariants: A scalable approach to information decomposition Goldfeld, E

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:25:10.462603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.252900Z digest=sha256:4925c8e1a9b846d264448ff616c8124bd9a4078cfd1f10bcfc514ef77cc4deff

Observation 1561b4f2-727f-49bc-8f75-3171219453f6 · outbound

This paper cites an unresolved cited work.

Shannon invariants: A scalable approach to information decomposition Unresolved cited work

Reference 68

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:25:10.453528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.256186Z digest=sha256:3ca32dac14e954b1479cae36460a58cbedccd5acfb20c3d3bca24933ce716e06

Observation 4cfe6d9e-fb1b-4b89-8ee8-062bb9155840 · outbound

This paper cites LeCun, L.

Shannon invariants: A scalable approach to information decomposition LeCun, L

Reference 69

Resolution
unresolved
no resolver link, observed 2026-08-16T11:25:10.258986Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T11:25:10.258986Z digest=sha256:1e8cd3534f52edeec5ae4b463a08380c0d8aa168874831949656395eccea0e74

Observation 41a3e986-5a97-411f-a176-293fb4a7dee9 · outbound

This paper cites an unresolved cited work.

Shannon invariants: A scalable approach to information decomposition Unresolved cited work

Reference 70

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:25:10.438366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.262870Z digest=sha256:fe07e6aa3ed6121cd8f9c0a95b0414af1602ce7a0fba01ab9cec9a1b8566105d

Observation a675d442-d6fa-4848-a449-a638230b5c4d · outbound

This paper cites THOI: An efficient and accessible library for computing higher-order interactions enhanced by batch-processing.

Shannon invariants: A scalable approach to information decomposition THOI: An efficient and accessible library for computing higher-order interactions enhanced by batch-processing

Reference 71

Resolution
verified exact
local_arxiv, observed 2026-08-16T11:25:10.315336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.266274Z digest=sha256:430730c718c7726f07676b6b0e280fcd73484f430bb66efe92e8c245fd2ba361

Observation d6b748b8-b997-48bd-af1c-88a3b208b2f0 · outbound

This paper cites Venkatesh, C.

Shannon invariants: A scalable approach to information decomposition Venkatesh, C

Reference 72

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:25:10.428801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:10.269703Z digest=sha256:b03e031104b112e88d0e22315d62d89274058d7a314fbf6c2b9e8775b400fd90

Observation efd74cd8-a475-4af6-a354-a0e7882be2b9 · outbound

This paper cites Null models for comparing information decomposition across complex systems.

Shannon invariants: A scalable approach to information decomposition Null models for comparing information decomposition across complex systems

Reference 73

Resolution
unresolved
no resolver link, observed 2026-08-16T11:25:10.272726Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T11:25:10.272726Z digest=sha256:be77c80cfa4ca13e195110d74ada3186be85794c9bea5a80c06ef7136b2ee669

Pith citing papers

Observation a34227fb-e702-4c91-a370-59bd1512a462 · inbound

A scalable estimator of higher-order information in complex dynamical systems cites this paper.

A scalable estimator of higher-order information in complex dynamical systems Shannon invariants: A scalable approach to information decomposition

Reference 31

Resolution
verified exact
arxiv_id, observed 2026-05-19T08:07:10.162777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-19T08:06:47.715287Z digest=sha256:ea9319d3439edbb3de4076f726e70d0817f4db807928de1a47e2d79912857790

Observation 67650ec6-fef0-4473-866d-2f2bd7e37788 · inbound

Redundancy Maximization as a Principle of Associative Memory Learning in Hopfield Networks cites this paper.

Redundancy Maximization as a Principle of Associative Memory Learning in Hopfield Networks Shannon invariants: A scalable approach to information decomposition

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-04T00:14:42.246691Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T00:14:42.246691Z digest=sha256:51cb90892dc3b4dd03139a7f8fa6e1de1838c91d4196d87e3f8a0fe62e2a738a

Observation 45797f04-023c-4743-b6f9-4ccf6730bae3 · inbound

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures cites this paper.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Shannon invariants: A scalable approach to information decomposition

Reference 106

Resolution
unresolved
no resolver link, observed 2026-08-02T19:13:54.147446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T19:13:54.147446Z digest=sha256:916038a9e6391f8941202dcb500a95aaf4814805c3392c281e8582937d5dd4dd

Observation d90a34ed-bf43-46ed-a3e4-04fe0199f242 · inbound

Information Dynamics of Language Communication cites this paper.

Information Dynamics of Language Communication Shannon invariants: A scalable approach to information decomposition

Reference 17

Resolution
metadata mismatch
arxiv_id, observed 2026-06-30T06:14:19.374214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-06-30T06:09:59.818684Z digest=sha256:68fd0ecb834f6722c7fa6ad2c34e84b66ee04cebb5726a296e67500d34379453