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Paper Citation Record · LEDGER

Quantifying system-environment synergistic information by effective information decomposition

As of 24 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2501.16676.

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

pith.paper-citation-record.v1
2501.16676 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T11:36:15.308220Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

36 of 36 outbound references displayed

  • verified exact1
  • verified fuzzy17
  • unresolved18
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 19879c48-51c1-42e4-9482-869a4a73fbe6 · outbound

This paper cites an unresolved cited work.

Quantifying system-environment synergistic information by effective information decomposition Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-10T11:36:15.914206Z

Source-reported events for the cited work

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

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Observation bdddc441-093a-4a40-a317-cf4b71ee3059 · outbound

This paper cites Proof 3 According to the definition of EI, EI (PX t→X t+1) = I( ˜X t; ˜X t+1), (C11) 22 while still satisfying do(X t, Et ∼ U(ΩX,E)).

Quantifying system-environment synergistic information by effective information decomposition Proof 3 According to the definition of EI, EI (PX t→X t+1) = I( ˜X t; ˜X t+1), (C11) 22 while still satisfying do(X t, Et ∼ U(ΩX,E))

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T11:36:15.897778Z

Source-reported events for the cited work

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

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Observation 281229ca-48d9-4702-a622-2984beb79f9a · outbound

This paper cites 7, Syn(PX t,Et→X t+1) = EI (PX t,Et→X t+1) − EI (PX t→X t+1) − EI (PEt→X t+1).

Quantifying system-environment synergistic information by effective information decomposition 7, Syn(PX t,Et→X t+1) = EI (PX t,Et→X t+1) − EI (PX t→X t+1) − EI (PEt→X t+1)

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T11:36:15.880890Z

Source-reported events for the cited work

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

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Observation df059304-49f3-47d9-bd18-5f38fed52ae7 · outbound

This paper cites an unresolved cited work.

Quantifying system-environment synergistic information by effective information decomposition Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-10T11:36:15.865088Z

Source-reported events for the cited work

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

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Observation fe783dcd-71d1-4356-b84b-99ed93bc9b03 · outbound

This paper cites an unresolved cited work.

Quantifying system-environment synergistic information by effective information decomposition Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-10T11:36:15.848844Z

Source-reported events for the cited work

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

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Observation 1382fbbc-5c0e-474b-aa46-c2146fc3a01b · outbound

This paper cites an unresolved cited work.

Quantifying system-environment synergistic information by effective information decomposition Unresolved cited work

Reference 6

Resolution
unresolved
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Source-reported events for the cited work

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

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Observation 9f17e55c-d852-4755-8135-481249394b42 · outbound

This paper cites an unresolved cited work.

Quantifying system-environment synergistic information by effective information decomposition Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-10T11:36:15.816850Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-10T11:36:15.159121Z digest=sha256:13365a74244780a941df5dec3fb97bd2328b9215770b4a00a090fa6a82a1d98b

Observation 9f079e63-3393-4269-8b93-7de41a622be4 · outbound

This paper cites an unresolved cited work.

Quantifying system-environment synergistic information by effective information decomposition Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-10T11:36:15.799753Z

Source-reported events for the cited work

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

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Observation b5be97be-cb2a-4cc1-a157-8e731f94d31e · outbound

This paper cites an unresolved cited work.

Quantifying system-environment synergistic information by effective information decomposition Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-10T11:36:15.783668Z

Source-reported events for the cited work

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

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Observation c936cb2e-55a7-4f13-bf30-cdcdedf27485 · outbound

This paper cites an unresolved cited work.

Quantifying system-environment synergistic information by effective information decomposition Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-10T11:36:15.768606Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-10T11:36:15.175026Z digest=sha256:b225908c4d5f0f2a9436e3d76caae9e78944ed8ff0bc7a41442100e2e5ed58ca

Observation 22206e8e-1fe4-4bef-a7fa-d49622be281b · outbound

This paper cites Rosas, P.

Quantifying system-environment synergistic information by effective information decomposition Rosas, P

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T11:36:15.752627Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-10T11:36:15.179385Z digest=sha256:4b6251e21acc34685197ecbbef772e7276783dd05b236020acd98702d2aa056c

Observation 7164035c-212f-4b5a-93c7-ab1d6a7ded2a · outbound

This paper cites Gershenson and N.

Quantifying system-environment synergistic information by effective information decomposition Gershenson and N

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T11:36:15.737996Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-10T11:36:15.183844Z digest=sha256:0d9ae8f3200787a49234116c051fd126514221074154af127e4bc0b1222e34f4

Observation 0353f149-466d-4d80-8581-d9c1a1635d40 · outbound

This paper cites Krakauer, N.

Quantifying system-environment synergistic information by effective information decomposition Krakauer, N

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T11:36:15.722156Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-10T11:36:15.188701Z digest=sha256:5f8878cb00bdfe31977770e391775acd32cdfa2c73d3d98a5174f1b6c555214f

Observation b406ecd4-d77e-4cb2-8492-efb9a04d2b5d · outbound

This paper cites an unresolved cited work.

Quantifying system-environment synergistic information by effective information decomposition Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-10T11:36:15.705954Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-10T11:36:15.193220Z digest=sha256:f0a08518e246c8d49f030b042ae994099524b64a0d2a628bb6fe6d0aae7e15f5

Observation beba8d5f-22bf-4d73-bd2f-950bd2495df9 · outbound

This paper cites Oizumi, L.

Quantifying system-environment synergistic information by effective information decomposition Oizumi, L

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T11:36:15.689106Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-10T11:36:15.198475Z digest=sha256:5deb3c9e71b24bfb17f3371810ae1db234b4b91ada36035267c38408cb4c5dd0

Observation e2483b71-2d25-4912-8c2e-d2fcdf8be53b · outbound

This paper cites an unresolved cited work.

Quantifying system-environment synergistic information by effective information decomposition Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-10T11:36:15.673066Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-10T11:36:15.204345Z digest=sha256:864fb7ff8e911e5a165f73e628e7fc4f70ac86beb34159977d3eb55c5c993e4b

Observation b3e439b1-ae67-4439-9964-6029c2acd24f · outbound

This paper cites an unresolved cited work.

Quantifying system-environment synergistic information by effective information decomposition Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-10T11:36:15.656697Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-10T11:36:15.209703Z digest=sha256:3e3275301e6fc9daf987b0bf4a84d2ae2ec03452c4f7ff4095b5b0b53fdd9b22

Observation 97f13172-afee-4eb6-9c67-11a3c74d4357 · outbound

This paper cites Dynamical Reversibility and A New Theory of Causal Emergence based on SVD.

Quantifying system-environment synergistic information by effective information decomposition Dynamical Reversibility and A New Theory of Causal Emergence based on SVD

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-08-10T11:36:15.372451Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-10T11:36:15.214220Z digest=sha256:538d89749fcf9c2f26e7ca07d8ec80bd395e966e6f57ea0802a8bb8af2352278

Observation 97eb79d3-6eac-44b6-9626-dbf86e5c9103 · outbound

This paper cites an unresolved cited work.

Quantifying system-environment synergistic information by effective information decomposition Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-10T11:36:15.641105Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-10T11:36:15.219414Z digest=sha256:a33c8c30020f8f139df776ea3857ac1088b35e39dd31355bf93d74e44a548f22

Observation 837f662e-a8b0-41a1-ae00-62e61e9c3a11 · outbound

This paper cites an unresolved cited work.

Quantifying system-environment synergistic information by effective information decomposition Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-10T11:36:15.624507Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-10T11:36:15.224944Z digest=sha256:0e492a0c739f7aefeae7eee99d79403b9aa1e692f32c1f8176bdd85aa193c46d

Observation cef7af55-54dd-4f62-a9fa-8f44e1934afb · outbound

This paper cites Pearl and D.

Quantifying system-environment synergistic information by effective information decomposition Pearl and D

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-10T11:36:15.230115Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T11:36:15.230115Z digest=sha256:0df4d00e91f940d4796e881cc4e2e920943481b544dbf832688e9fe05ebfb8b0

Observation d26dfcee-d92b-4665-93cb-731ef10cd8b3 · outbound

This paper cites Nonnegative Decomposition of Multivariate Information.

Quantifying system-environment synergistic information by effective information decomposition Nonnegative Decomposition of Multivariate Information

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-10T11:36:15.235073Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T11:36:15.235073Z digest=sha256:b411f8aacc6f4e6651b004bfbd42b72d03abd872a5d471b3a8e4e135a297065f

Observation 168ce9aa-5411-469a-9830-289f8d1fd049 · outbound

This paper cites an unresolved cited work.

Quantifying system-environment synergistic information by effective information decomposition Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-10T11:36:15.597971Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-10T11:36:15.240554Z digest=sha256:70615831da38a2e8f0730aff0fb15d667bbda1ff213cb4ec8b3729187be4b121

Observation ad3259b9-12e8-402d-b43d-d180a827afa7 · outbound

This paper cites Bertschinger, J.

Quantifying system-environment synergistic information by effective information decomposition Bertschinger, J

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T11:36:15.581922Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-10T11:36:15.245879Z digest=sha256:ec9e349002cc8b340d8e43ecc64f0635ffeee12b3193a6a584bd1d9d8243445e

Observation 72c18fde-00a1-4fd1-8a6a-197d89fe4ab7 · outbound

This paper cites Alon, An introduction to systems biology: design principles of biological circuits (Chapman and Hall/CRC, 2019).

Quantifying system-environment synergistic information by effective information decomposition Alon, An introduction to systems biology: design principles of biological circuits (Chapman and Hall/CRC, 2019)

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T11:36:15.564944Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-10T11:36:15.252058Z digest=sha256:7028d7a3f79912f36e4e20d573e48966a3e8273f4ce630c47b97af58819284ab

Observation bf605533-f68f-4a82-8e28-9551739e4206 · outbound

This paper cites Albantakis, L.

Quantifying system-environment synergistic information by effective information decomposition Albantakis, L

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T11:36:15.549701Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-10T11:36:15.257116Z digest=sha256:1ebd028d42c41639b1c85e91c9e379fd1d16de730a34c76275363957b8bd7c1f

Observation f930207b-4054-4d78-aee4-c13a7f7b17aa · outbound

This paper cites an unresolved cited work.

Quantifying system-environment synergistic information by effective information decomposition Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-10T11:36:15.534221Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-10T11:36:15.262747Z digest=sha256:e7ea49162fc57e0aeab0acb9ce6a28d01ddfed620db688224618602b14e55b26

Observation 63e6b269-9e2d-4a15-927e-b7c7880943a1 · outbound

This paper cites Wolfram, Statistical mechanics of cellular automata, Reviews of modern physics 55, 601 (1983).

Quantifying system-environment synergistic information by effective information decomposition Wolfram, Statistical mechanics of cellular automata, Reviews of modern physics 55, 601 (1983)

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T11:36:15.519158Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-10T11:36:15.267072Z digest=sha256:ed8f2be472a6eaf1042972996e820d218bd1f06fc784a99e1023fbc375291815

Observation 8e99a0cf-0d8c-4a1c-84f1-4f6b22c0cf17 · outbound

This paper cites Kadelka, T.-M.

Quantifying system-environment synergistic information by effective information decomposition Kadelka, T.-M

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T11:36:15.503640Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-10T11:36:15.271924Z digest=sha256:92c1d23cad3e25e39e8f6438671d312dd21f09f86a9be335bd3c117c0442f6f7

Observation 7abff251-0513-4181-9632-04c63ae5515d · outbound

This paper cites an unresolved cited work.

Quantifying system-environment synergistic information by effective information decomposition Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-10T11:36:15.488097Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-10T11:36:15.276647Z digest=sha256:8055072bbc384472d6e21af8e1ea111460744865b80f9502b02b167042ef4610

Observation c0f5c8ec-aa6e-42ee-a801-ffd8c696d579 · outbound

This paper cites Watanabe, Information theoretical analysis of multivariate correlation, IBM Journal of research and development 4, 66 (1960).

Quantifying system-environment synergistic information by effective information decomposition Watanabe, Information theoretical analysis of multivariate correlation, IBM Journal of research and development 4, 66 (1960)

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T11:36:15.472912Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-10T11:36:15.281451Z digest=sha256:0a7f6f2af77b45293705c9645ed9f1b9ff965c582b212a9568cb515c712330c6

Observation b11d5ede-0935-4090-b600-91dc1dac2423 · outbound

This paper cites Te Sun, Multiple mutual informations and multiple interactions in frequency data, Inf.

Quantifying system-environment synergistic information by effective information decomposition Te Sun, Multiple mutual informations and multiple interactions in frequency data, Inf

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T11:36:15.456945Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-10T11:36:15.287403Z digest=sha256:56a0045adeac236efca36b8a1e5c01ff8f69cadc805d015cf3c2f9a48a7bfd37

Observation d989c8bb-ac24-4cc4-90c0-79261cb9c4e1 · outbound

This paper cites Yeung, Information theory and network coding (Springer, 2008).

Quantifying system-environment synergistic information by effective information decomposition Yeung, Information theory and network coding (Springer, 2008)

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T11:36:15.439334Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-10T11:36:15.292527Z digest=sha256:8630dd6870b32d8fcfbaa60df88a84885e2261c678bebfe75bb4357166c38f7b

Observation d5d2c6db-1baf-4e8b-86d4-117b0762bd91 · outbound

This paper cites Harder, C.

Quantifying system-environment synergistic information by effective information decomposition Harder, C

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T11:36:15.422429Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-10T11:36:15.297687Z digest=sha256:67e1363d16317ca2903e192f73bf6e7967c901a8871f8e7d23313a53467c0653

Observation 27f3c545-c9fb-4734-92e7-d2f79b9f8c19 · outbound

This paper cites Finn and J.

Quantifying system-environment synergistic information by effective information decomposition Finn and J

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T11:36:15.404614Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-10T11:36:15.302896Z digest=sha256:6e01c634336de11b1058f4dafb068afc36640d3857b61e0c03e76749b6d2df01

Observation 83d25549-403d-4ba3-b1f4-a0366c5ad4d2 · outbound

This paper cites Tononi and O.

Quantifying system-environment synergistic information by effective information decomposition Tononi and O

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T11:36:15.388742Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-10T11:36:15.308220Z digest=sha256:1731c98b239240db7c4bc724600fddbb57cf0ada449eccb90ba7ba8ed5b6a603

Pith citing papers

No inbound Pith citation observations are available.