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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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.046180Z digest=sha256:efcd2e1754a224f3f36af5b9a91efb84278eaf9c3f725488087375d19697f069

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.050865Z digest=sha256:06bcc9794db102ba7ad3f33573f6b1291d804bf7f4c51cb55d5214984764f780

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.054446Z digest=sha256:66b19dda915cbff417637adb15e4b6ce7726f1a0970694ca6e79bcad2d41e2a2

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.058089Z digest=sha256:2fbd4273ae32dc5213f472fbfd93d1d749e927112b1dc2184b041a7066db5d59

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.061238Z digest=sha256:41ce6aba42519db7f063ed57cf25eb1864d660c6a3607132132f6bc8b179115f

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.064440Z digest=sha256:4f6d38b7acff1e41e51c8338896923fe392333302b089fd3844aa50c0d1d3a2c

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.067796Z digest=sha256:3338da3245029239e607b2861dfdcb95d03eb51be58cf95988d0e92f93748903

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.071239Z digest=sha256:ed47a0670838e6baf01ebc0b25383a0d6cadda86a34ccde532127a4d85253557

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.074226Z digest=sha256:749a2d9b69afdccb8065a4267657c76195e0b0e36f66f617bab12adf514f6a2b

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 2026-08-18T06:34:40.430872+00:00.

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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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.081011Z digest=sha256:9378d62f4b2c4c0cccb21efb2b25ad53ea02cc17db2355ee32d32fc33c279ea6

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.084136Z digest=sha256:db2448437521af62b05c2bef8077801de32bd0e34b3cdc836b79cf231cd570ed

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.087451Z digest=sha256:11e78d13db4ff56073af7def3f3197119afa828cc6064428ff9fc2f81f7a93c1

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.090775Z digest=sha256:95b0b66a8e89657fd7b3f2b6e9ea4743686bdc9e1faed66daab4818817188023

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.093890Z digest=sha256:d43d41792902c3cd38b1d012d097a6e0f60656c24d5a956bf455ab28d11190e1

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.096708Z digest=sha256:5a1c61a103ca8b8e788e8ecd2769be072d2addb28746e59e1b60b6763bd6aafb

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.100184Z digest=sha256:a9103bd4b2df5769b31df13e740681a60b058a7688f0a6dfb05b85035ff5f564

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.103099Z digest=sha256:3b7329b3bb82e4acc2ecd864ace3bcfb12815eddfdb17fb24be6002c015ecde9

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.106262Z digest=sha256:e30c912d8bab8a5f08a6047243e375ad60486510b2831d4aec340304a56b9a47

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.109294Z digest=sha256:f87d389d9538b2a0471f3d88ab23d74a8a3797b13b44ecfbb07d731acd08db41

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 2026-08-18T06:34:40.430872+00:00.

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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
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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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.118126Z digest=sha256:41c944006e572f11e8024ee1700c6ec899b35241f2486953329977dd74fc6bff

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.121200Z digest=sha256:76254b60a1808714ae0391be7a723a14a748da60ca8ddcfe12484802e55cbe72

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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.126969Z digest=sha256:d31d36464653e9a2ca711ae64421e81b774ab708a6541f2dc7f04f81261030e9

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.129900Z digest=sha256:2df568963ebfcd62a27a584d02a2c5715457c93fc750b9780f90ea2f88755598

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.133302Z digest=sha256:35f92dbce52078087f8aceaebb41511412263408959fa25ee78b17bc1bdfd58d

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.136243Z digest=sha256:0591f96061017903e6c47031c5ebc0be66d56d0d11b956df4995df04a0d79cb9

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.139613Z digest=sha256:4e634a935a44ae0f2ee46bc4be66ac33f2174481723c5fc641e7b189ce4136ee

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.151971Z digest=sha256:2a6b8e1fc7e254f7142e031e955c336677e29b5f6b676ba523037473524e6979

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.159095Z digest=sha256:853131838b9da4a828fff6306ee537879dcba301cdbfcd260356998f04182703

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.162051Z digest=sha256:cf4c4df09ca4c63d0d5200513176879cde46b36ced2c096b212db1e6e76c8b17

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.164871Z digest=sha256:734b94f64267ec45b527067889d8f3f400e898d802c536f3596c7ed5e60e4f2b

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.170810Z digest=sha256:826d11ffbc4aa6333b1551e11f8245d6799b51dda07cd0245753be2193b6449e

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.173711Z digest=sha256:2d498d540c88c39ae9779f6940c9cf9c0622706314bf53f0c43cbc9292661670

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.176545Z digest=sha256:0caee01b7d451348b21b0ab9c2711b358b10585150c34d549974bb3b457cbd7a

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.182705Z digest=sha256:10501cf2b918b0a19c9c6e323a51ef98ffc0b15828c66a4bde78eac1129732a2

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.185579Z digest=sha256:e95ef169a824b47d2130d717fe857955aaa727814866e72a276a02087abb74f2

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.188507Z digest=sha256:41c51057316e786747c1908dc00f2b6071b0ebddd80ab085dd3bbd3757bc1a23

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.191444Z digest=sha256:1640d5a4ecbff98d44c351563a7be35433b9135fb3aa5ad672d347f30838e780

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.194637Z digest=sha256:640b8e60d74b81273c1827d5564edf25815c90af5192dc5c6a71da3e69c2a09a

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.206795Z digest=sha256:06963c63cd6fb3f605bc8322d40b9be664a4c91a59184c4e0afc3dfa8507836d

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.209724Z digest=sha256:df3db2499aef6eeac9ac2c03d4acfeeb9f7cba9619f03098c73d73289173293d

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.216203Z digest=sha256:a84ff5440e1141b8396663dcf3391ec823daddb4bb5b4f253cd76c3913b70f25

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.222257Z digest=sha256:67be13040acdb3ec4d6beb5e768e0d73c8bec2b3cf1a377835cfcd4b0f4c793a

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.225204Z digest=sha256:82995e0d91b78fa74cbf949636785864e8968824327e2d0e2ff9bda3e6db2603

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.228031Z digest=sha256:58f6312fe1e20e65f2f6af2b54a4cd6765ad86154fe8def4a576d8bf9a18f934

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.231914Z digest=sha256:1b37ff4e7fd197cfdef51109d59f551c4799645d7e62b8a89338d6fa0c0f5cde

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.234768Z digest=sha256:0c81b237436da8e3d289415e2c03e4412380ab0b89e628d8b7a257807f7b6645

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.237949Z digest=sha256:d0f0b130bb778745bfdb02bcae36ded149ee30cd42fe5ef6536dbcd681fbadce

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.240832Z digest=sha256:8d5d1e6c8273d4050f17a5ade7d0d8c56e4e96b01438db585a13721e7c0ab031

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.243642Z digest=sha256:00d5185a936bf12bbbbdbed40db9931cc69b35c353c061d16c59ae004dede1ec

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.246798Z digest=sha256:9cecdada03ce11902ce6b33bcec7b8ae62be02c56b3f3d688b0f83784609b5f3

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.249944Z digest=sha256:0887ba018996206c354322b1956e93c7aa3346e5e29dab2997ab98ca871a8373

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.252900Z digest=sha256:3e3cf9f6de1ebbe3b4fae69f30f65d6fa87908c85385e19fbf463a4b0eb7ed68

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.256186Z digest=sha256:6aa6b8afe211fca61313edb2963cf6e37b9af75c264fbdc70086fb683468734d

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.262870Z digest=sha256:ca6e17b9bc4877ddd50b83876963ceaadef693ad28f48d872620102d047acc09

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.266274Z digest=sha256:1c19aec77e89397b4de7c90892c9c90ed77ca306a93c8eeb6abb03d84b2fd813

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:25:10.269703Z digest=sha256:1af9e14ef193de5bc4a8811632175c6defdba9ffc0847669ccad904fb8883174

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-19T08:06:47.715287Z digest=sha256:37c4d924632c2bcc42fc345d2310e3c0fe35c1500450af0d220db356f93c3afe

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-06-30T06:09:59.818684Z digest=sha256:44df614fba95ec93b3d0291b1b7cd67f3cb797344f08f91a3412415faacd08fb