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Paper Citation Record · LEDGER

Shannon invariants: A scalable approach to information decomposition

As of 21 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:cf581cb67f38cbad0a40b5204894d06c55bd08c1bbb80fff9e137b4bdc70498b

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.

source=pdf_text observed=2026-08-16T11:25:10.050865Z digest=sha256:f3e563e7491afbdb0a693b908ced5d2265ea61641b02f3cab76196d0e8a525c0

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=sha256:65f4159532fab997a01ec83036a20bb0432e9517344cb4384dee8f2832fe4b05

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=sha256:5bb9bbe4b6a720228ef8de95ef70e62673b0b017ce44f0a058640614e969780e

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=sha256:596a059ba9ed6d1bb97510569dae9b1d93535651a91b29ff602010444bb6ca9b

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:b16ebc2451bf50bc987a401eac9c7e8692fb89a498714193438f0e29ade26cbd

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=sha256:9eace9d1b0c3d556e1cdce1b658d33b0f32b71827cc52ba070c956cb433a4c52

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.

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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:daaba1e2913958a34d319206b8d613c5f07922d47d358ff99299075a9b82bbcc

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=sha256:3af30c0c74bf47ac5cd347306f2b2f6df135c6f83582a623e463dfd7ca1d4fdd

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
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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=2026-08-16T11:25:10.081011Z digest=sha256:a8f69e37f0fba687da2e78b22d53d1504d390f99379a6b0685739d89aaef2612

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=sha256:0f835f9720ea80e394b7a71d57f39a96a09b0ccac7144d1c18927f908381a0ef

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=sha256:01dcc3a47742e0d26db3b1bec636d872ba20d0f29fe2b7b97291c51c992683b1

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:da9c7c51bd7aca7967818ebfd51d50cacff1142e322f0d48ae6ac42eada83a18

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.

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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=sha256:87b896911714189c6406cb5e6ecaec5055038c5df6bbc9f7d7433a4a1636f93b

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:ba92f99764a8990fba4f9002c840426927674e8fa668d23c3aed98f61bb2e3c8

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
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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=2026-08-16T11:25:10.103099Z digest=sha256:02e9e3fd2e8e062eeb3967d65ce8e2ae1cc01aec279298aac8bfe9e6b1af21b2

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=sha256:635ddf327b00fd6ad40f4d20a69a3a3116d5a49913c23c7eb1cb1ed42bb31c2f

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=sha256:67c0a2e93009071c498ba1bb927f59b7ad3b6fef07f83c9c92f37b1af0907117

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:bc27aa2ef7eaddf326c0eeeca162ff048108df870673e29f9f33842eefdc338a

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:f18825559ac52f66cf799818ff662691ee87d4492893af7e9b0ecd937e2ab4e6

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=sha256:8598c6544b2e0612f51ee35ea9fbc180924f50e869175f83809b527ec7fca21a

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=sha256:97d0860a7f99ccc51cc8c0856349e2cf955de1038fb20677274013ca5bc49b47

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.

source=pdf_text observed=2026-08-16T11:25:10.124122Z digest=sha256:7151647df426c13e2cca769ff20d2f47544264a6680ad9d963b0c4d026da2474

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.

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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:b2a26ab837b9a33bb69f4c11709dffdbd1fc4608e55bd28d351f9f989b2d4189

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=sha256:9c557caaf0f163a8005c7a054f4c9f02fb5982bc5e09db23c4083a712f1f2fe1

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=sha256:21826d2b202fc7ea61035bc7184346d0dd98b4b65d7b9c8ef81724657434b0b6

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:d2e6c2f375c5504ec894621b258df91a6855f37b9312b89001fc92e7201cf0c9

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=sha256:80822f49d4582adac3750949048d2d83ad0e90c617bcca3085534dc65e1e7960

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:ea560e29037acbe4d85a20f21f74ee981f8adc708d1d9822b647bab4fff407d2

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:fecf6e6d1e6f0f9f1886c7be802db8eba6f0d9b77a41ca2e1edb3d6c4a5ab4c8

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=sha256:29c18a7e392305bc3d73f3d7514271644d8102e5d08793821d67d83f7583fd22

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=sha256:09c67971daf0f40ec17f75b3214a92d358df42ca51dba3c99e75272e9e71bebc

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=sha256:63ecd6d8dcd73d6efc5758abc4ad99a5ecc1cdef2c0918624737f66e8a3e8dfb

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=sha256:1fb77a2ab6e63d5d53173be5450ee21d74914c66a035123353ba5e30dfe57992

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=sha256:6eeae8b464b1aa4b2d93d5402a37b518b144e91871f0d24bdd3671e464934a02

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=sha256:89b1ebc9aa7014c027b236f36332f17529f2bf0c758bcdbe24166eb13be6e3cf

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:d0abcfac3d7c36afe9a0f894a35d984a3eb84f6121379193a82337cf94bb9fdd

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=sha256:84327c49f4aef65220f2332b0c5d08f754df773b0fd31e8f6b9d84f1629ce3a2

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=sha256:0cf699a14b98d17a0ab8f6cb1da6140b55d2ecae10bb71cfe2d61a7c58bcb7fc

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:cd227a6c6c67c9bb76a3bc5a5365b234a30dd83e8a1d2b145f9f9eba8dec4bbf

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=sha256:94421a75f0f9fc4744bccc0737de2a6d8579957a997cb27615414c0e1344f97f

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=sha256:57854e18fa1b3265a528209646ec213b22e092295191a1d203010bb8c701e04f

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=sha256:8c23fef47143ca036e940a5d997b5b6fbdd809325e4bc6b9ef6d4c55007a5532

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:cf0752c1f3b1e719620ed6ce1e6c4c758cd6a9ea4de69dafae34929212fd260e

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:d57a98419836c61a2d768a391264ebbca5ae4f34b426afd9496579fd0558c4ef

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=sha256:35f4564dc53dc0b59916948384866826ce28810e8a3d3f2d7e106077caf2bd93

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=sha256:2c19e14a70d624075d07ad9ca714019ed3c45b4b58ca198d3d568b8fc9cb8675

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:cab2c199660abc8fb266f5a1049cb6698905315c6de338c076e6caacf1827bb2

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=sha256:386e4f6c88cc2a437a8ceea913077d78c1332e3707c277c4e4a654e58b0209b2

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:d2e24715b9acbc75dc7ba4efdfa5efa83303dc4d0f3c5f40b89349f4d96d1963

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=sha256:05b4bab0fa0c40f17e796c90556c8fbf58556c9eb23dfb57953b1976a7ebb18c

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=sha256:94a074e0103650909c23c8fb91d7af26f3185f4c9854877297803a86b0c1d46d

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=sha256:86c0cafcf4dc799c1e14abde93d9530729157939357e0fb17c9fd7b573d91d7f

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=sha256:2c1dc981081a61e39e2929e39ac1ac97c6f8a095a214b4d3ef27bd94f055d897

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:cc9580ab36cb0275eb3e534400f378e6418e5c9c97812e3ba3af3b91b0c2944a

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:f1e864cea6cd9fb074b241d08c02815ea9859a81e30160eeade8925969f780f1

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=sha256:31db69c42c30a6120ef032095102625d119f2434ff24b520bd5e4477aba1319d

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=sha256:578c1a76d05f25d14ad96b9c27bb46860b490e9254b5aa2268dc4e268e92416b

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:a07b6bd63151da1cda11e2e031f70a117428b3c2167ebb6e6acaa0ec8c593b65

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=sha256:2baf42fe3dfb4a811961875138e3da4d133913834af9fbf56cdb88cb8b23a21c

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=sha256:0b3beb9b7387d20cfb3fd442d15dc14f848f32cdb3ba732b52347724f6278919

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=sha256:83ae9ef4db4b76d375e0bc24250bb0b5ebcb6f0fb16704037f15d4a6a064d8e7

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=sha256:26262d7c52c19708648c34f6e00945d3ecff257ed1690bc1f49568b7ad7054cf

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:dc9ff4046b090143200ae0bf3e2cb67d26d19703686c08ae0f2480dfd2ad2933

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=sha256:7e3addf94f344f9d946e135f287b9ec9497f92b8ea3e8fc212753ad5fa93c90c

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=sha256:5aa5b1ae70187e3557f2562f7936126df231b090f38ad187997d39fa4744e03b

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:cd2871dffdba3a1277e7d840df734e87ef2fde990d49f8c69c0dac7fb50bb872

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=sha256:0a28d41fd82337310568de54c62fc20949d5e49ddefa0e55ef10b4ed7c7d45bf

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=sha256:2b6b1d763efd7dc89e7f01baef09486aa7445f3a1e130d59b431d8c9bb11c1d4

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:d19938b6fd212327bdc1d131188b79417ac6a59a2254f3a28db58d99fd9da219

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=sha256:81a3818d42696b005f6d72862138227089930570ba2d2a997d5755c8d842223c

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:d51fd8a5184e2de3d9f4aae41b6e85118fb5a366696f31dc2bbd6db0abc648c5

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:bb6ba8a95769c882c683e0e7b1480c7a8a93085e75e3c03ef034aab98a58afbb