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Paper Citation Record · LEDGER

Shannon invariants: A scalable approach to information decomposition

As of 20 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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.046180Z digest=sha256:c9cbb6620b8205f19bda9032e8a46f66fc96bcfd436b742b6418a579db66b464

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 2026-08-20T06:33:59.587034+00:00.

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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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.054446Z digest=sha256:562d64f41081ed16df56290ead25be968af2b95f3e7926da4ef36b2947917238

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.058089Z digest=sha256:7f22916d344898333d4c2b865e65e5cc60e41212ec7887cc116a306fc42433c0

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.061238Z digest=sha256:78552e8e18b5aa4d08b06657cb475728d1994769fa3eab9d8b6a0d68059c03a9

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.064440Z digest=sha256:a25329ad3019e582a29b1acfea9f8fdd0df673898d65e15947d6b535c5dc4092

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.067796Z digest=sha256:2e936ddba447f1dcb789f0a6d75e49c51473f44c04f352cc9cc4ba2bc3795d21

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.071239Z digest=sha256:46acee88333fdf28a12cc0ddc29a40993ce65bde22c153c79f4d8410b5c35b20

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.074226Z digest=sha256:9a78ae315ae34d8dafb5fd4f09b80520aa0470081cb63840ea6d1e321d217e56

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.077753Z digest=sha256:50f02a63202b2ef3a2b1430154cca9b2093cd6e76b05b63af0161c0871c4913e

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.081011Z digest=sha256:b6f7f03317ab0e7804472be8761b9d93a216d7cd154c79b90aec6355b7f52bf4

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.084136Z digest=sha256:f1d0e8cdba651400412d1d96a0e389278ad5d2ff99f26bbd29f3581be56ef399

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.087451Z digest=sha256:57f90864bdaf748615c68406fb5ae042bdfdbc21ef37ad29784a90c14f012bcd

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.090775Z digest=sha256:3b7724568b554cc4d44a73343eaeaaf8400ae724664224cb5b3f6648faad82ad

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.093890Z digest=sha256:a53ff040c157ddd076e4a79573f9efa528cf52a4cc8ae5dc9fd9f7ad560b8712

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.096708Z digest=sha256:6efd8e78f53137a00340134669fed0fc5006b3c9ac3c219cc252e446aeb3bb30

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.100184Z digest=sha256:b40d4f19caac1a525b982145fb6eb582cd512a18f142539d1b1132ace7f1e7e5

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.103099Z digest=sha256:065ed209e73e547f536bd934fbcda3670cf76c8873c298de0740ee1aa4b4828c

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.106262Z digest=sha256:4629446044326af8018c3f23205af7152adbd7d8ab861e1a731023e992e8cf2e

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
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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.

source=pdf_text observed=2026-08-16T11:25:10.109294Z digest=sha256:ec840a4752cb9b3dffcb0c435136809103c736b7afd882cc45d124f3f7bc8cee

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.112244Z digest=sha256:dd5b3ac292921110427c64ad5f0230ba721ba6d03d38c910d2c6cca45466f78f

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.118126Z digest=sha256:6542dc95c1461ea95ba45815eaea3ec9abf2ccb5c81d041e6b822a6f8e251fab

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.121200Z digest=sha256:7629a02d9dcf3220353149ea182b65b3eaaa6ac75d4d77ef9cd7b6d788928fae

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 2026-08-20T06:33:59.587034+00:00.

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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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.126969Z digest=sha256:a2ddfee5a48eabea0839bca4d79db5713b74cb6d9d105bed3ba4dfefd77d34e5

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.129900Z digest=sha256:8304913732e1977760e540087cde873e96cf104a78951eb148053e13f64e5aef

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.133302Z digest=sha256:497603fd41a6f42ee2bfa49b2823dbfdaf6aa599acdacfedc63a4646506cb965

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.136243Z digest=sha256:cd5a0f6611f61beeaf4a7b63f1191b536bb6c3d13c96971ed0c1a474ab0d9e14

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.139613Z digest=sha256:b0ac0dc0e56b122e2c04436ca512e5a85fa142fd6486e867155b2cbc38c74292

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.151971Z digest=sha256:7dd79b7a534eaa8b8ec5370b62e2c535829919480606e55544b3b4c840809f08

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=sha256:62462a6c18adad93240358b340ba785a19bd53aa0b382773409496652f429055

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.159095Z digest=sha256:276ad47a36256f17960fe51fccb7b936b3a3764ee45f8c7c97bee44b8b4a963c

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.162051Z digest=sha256:784b68ba8fd930affc90990cbacf6fbe11032a9a712f8f90278daf22f5e44baa

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.164871Z digest=sha256:b5573858c4e22cd9310eb6ea8e97a4a69521cd8b9ee5d5282ad22afa3074df7e

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.170810Z digest=sha256:e2b5b5ff01ffd944b8dd631670c63394e8f4a1bc8df0cd81add450c89320a546

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.173711Z digest=sha256:3d89b0897d79e034eff30fc37808bdc9b8a4ae2090f4922e8a73c9f62b8ea95c

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.176545Z digest=sha256:52a5d1522603b5ac76c8d8487c0910d4c251c6da242b5a68d34dbcb13a0188a7

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.182705Z digest=sha256:67641f9357738118ab06e1b45e07b8ed56fd68b8d33fd97b0fdcbf42758d623b

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.185579Z digest=sha256:d504edacfaa1b791b7062e46bf189c17009b4c92ec6bab86dddd7e6da5e06e95

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.188507Z digest=sha256:fba71a7f418a3ea72bc81e8083ae691b3e4bee4e79940385a01ebcf65eb473da

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.191444Z digest=sha256:74f1ffeaff6507333ea659273ebdffef25da5eb1bf3c381c7205564f10d30bf5

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.194637Z digest=sha256:89f4cf45b0b5d2397e03d49e4e5e8432f026692e0afbb42b36a8bd383dd35eeb

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.206795Z digest=sha256:5d87ed6f80b4ffcf90d85402e599502eb0d8dba8da5e049a8d92f75d30dc825a

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.209724Z digest=sha256:fbd366be441b6a2b42fd8e4df15531e668427661c440d40ad0f78cedffe6993a

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.216203Z digest=sha256:3c870699290de293312b6c1e273794ba47c530bb039e85b4341e2b7c5e4ece04

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.222257Z digest=sha256:502f1a2f03887b783e8066f3baf7bc2ac07c697aef4b30124ff660e5a424007c

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.225204Z digest=sha256:69f357e4a9a16ef3bd2a795fc201d634a516fb8e539dccd52e6d45cbf10df0a4

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.228031Z digest=sha256:15ad97de7adf13420781db759abf713f5f67f17d1fa41d1ea687867cb95a5d99

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.231914Z digest=sha256:a79a53912b49893ca7d8c48f27faac28b5dbfca936c274711012663cca4feb29

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.234768Z digest=sha256:664effd7dc694c2df4c97e2a138bb51e34648ed3b96584fafbb412dc3f3a2c79

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.237949Z digest=sha256:6740e2a2ae8d83ca2f8ef2d230dbbc8d63348854ba455673cf355e6a00363ffb

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.240832Z digest=sha256:b26fcc66ccc9253e68060e8bf92321444ea581ab9b724aa9bf0c5cfd36cfa846

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.243642Z digest=sha256:8f2c959cd04b9bb686f72267340fd6b82f292d49404a62a70e9eb3ed4b23bd02

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.246798Z digest=sha256:9af2d3c9424174089ee282e03a75223e539b54ddae2f56668aeda595ccaa7c32

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.249944Z digest=sha256:824d6a584efb28cadb7ee66e5c33a8fd49db09bc5150d25d5d29c8e63de2e6e7

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.252900Z digest=sha256:2866559125e1602c13151df63db30bd2f4bb6c6c0343890047ca30f8c624cb2a

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.256186Z digest=sha256:246100cf079034b699a0b9917a10adda0de3d055fb9a29654eef168677c4d424

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.262870Z digest=sha256:8f0b7ea6de7a47aa2eb618cb8f243026da923b2dfd5ed0b60abe459db99f6a6f

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.266274Z digest=sha256:01f0a42a951d9045da566570c5e51e81c1da79c81cd8b7a7b751e2f68fac4f78

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:25:10.269703Z digest=sha256:f0093ddf68cd5cf01bb71f25e95229cc2a67ee3d69a20fbd2f1a8d5eef5b007a

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=sha256:70f9b2b489cfe954d4079389e7b115a1ae01a82d6d03872bc1d940b829f6453b

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-19T08:06:47.715287Z digest=sha256:c081b99f9eaca231a0c9d3b517c082c0884988467f00662131385a62f7cff02a

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=sha256:8dcd0a0d0aee7b220543ad600a81bf8cc6ef9ea7c365d1fac58a811872512423

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-06-30T06:09:59.818684Z digest=sha256:d408cdc647277ea4383a9176a6bc33bdd3afcdc017fa8137c915e87d4659bdc0