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Paper Citation Record · LEDGER

Intuitive dissection of the Gaussian information bottleneck method with an application to optimal prediction

As of 14 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 1 inbound Pith citation observation for arXiv:2507.05183.

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

pith.paper-citation-record.v1
2507.05183 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:39:37.944065Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T22:34:53.820129Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

26 of 26 outbound references displayed

  • verified exact0
  • verified fuzzy19
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2a69f332-c896-4ed0-8cec-5d2440fc7505 · outbound

This paper cites an unresolved cited work.

Intuitive dissection of the Gaussian information bottleneck method with an application to optimal prediction Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:39:41.275482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation fa39401f-2e02-4d93-9b28-b925144204ff · outbound

This paper cites I(z; s) curve Considering Eq.

Intuitive dissection of the Gaussian information bottleneck method with an application to optimal prediction I(z; s) curve Considering Eq

Reference 2

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verified fuzzy
raw_fallback, observed 2026-08-06T19:39:41.187678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T19:39:36.063920Z digest=sha256:fa5f63cea69739a3d6e0e9548baeda9b68c7d9b2b39e935a9a9ffa3033f97d8f

Observation eba4fa16-08f1-400c-bcca-4ac69c77d548 · outbound

This paper cites Decoding.

Intuitive dissection of the Gaussian information bottleneck method with an application to optimal prediction Decoding

Reference 3

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verified fuzzy
raw_fallback, observed 2026-08-06T19:39:41.103199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 08188f04-1321-4169-b6a2-724966fa22aa · outbound

This paper cites decoding.

Intuitive dissection of the Gaussian information bottleneck method with an application to optimal prediction decoding

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:39:40.996720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation f7df9a42-f077-4a4c-ba2c-515af88f105d · outbound

This paper cites A13), we can rewrite the above condition as r2(Is − ˜Σsy ˜Σys) ˆw∗ 1 = a2 ˆw∗.

Intuitive dissection of the Gaussian information bottleneck method with an application to optimal prediction A13), we can rewrite the above condition as r2(Is − ˜Σsy ˜Σys) ˆw∗ 1 = a2 ˆw∗

Reference 5

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raw_fallback, observed 2026-08-06T19:39:40.924026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 3aacc726-e514-4dbb-9344-cb9cc3a1ea7c · outbound

This paper cites (B38) Identifying familiar quantities (Eq.

Intuitive dissection of the Gaussian information bottleneck method with an application to optimal prediction (B38) Identifying familiar quantities (Eq

Reference 6

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verified fuzzy
raw_fallback, observed 2026-08-06T19:39:40.819297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 2c2f250f-8d7d-40cf-aaa8-5e309deedaef · outbound

This paper cites 5c in the main text).

Intuitive dissection of the Gaussian information bottleneck method with an application to optimal prediction 5c in the main text)

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:39:40.745547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T19:39:36.415523Z digest=sha256:2d7fc890d13804fec8aaf66555bbf2f085cd09404aa95522fe8dabd30e46835b

Observation 5e1d8156-0afa-41b1-a6fb-a90a01dba711 · outbound

This paper cites an unresolved cited work.

Intuitive dissection of the Gaussian information bottleneck method with an application to optimal prediction Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:39:40.638900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T19:39:36.494735Z digest=sha256:7c0b0dae2d9c2c4ced13f523e954db67f376129ac6c79297a9695ebb38cf7b2b

Observation 01eaf3c5-ec2a-4a40-beca-dbf38d8152a8 · outbound

This paper cites (B44) Substituting ||v∗ 2||2 into Eq.

Intuitive dissection of the Gaussian information bottleneck method with an application to optimal prediction (B44) Substituting ||v∗ 2||2 into Eq

Reference 9

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verified fuzzy
raw_fallback, observed 2026-08-06T19:39:40.534230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T19:39:36.582711Z digest=sha256:3f5f57b2928f1ddaf3446ff90672cfdda68ebef44a9daa86e164ae8735467599

Observation 21247e7c-c021-4683-933e-4308c798e0cf · outbound

This paper cites B16 and Eq.

Intuitive dissection of the Gaussian information bottleneck method with an application to optimal prediction B16 and Eq

Reference 10

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raw_fallback, observed 2026-08-06T19:39:40.414313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T19:39:36.719690Z digest=sha256:14ddeb4eff98d97eb60e4c1364438eab496c62a60efac3749e936fa6e99e1efc

Observation 98b83c4a-5594-4bc1-b06c-65b9481be6ca · outbound

This paper cites As we will show, the optimal assignment will indicate a transition from scalar to two-dimensional encoding when the amount of encoded information becomes sufficiently large.

Intuitive dissection of the Gaussian information bottleneck method with an application to optimal prediction As we will show, the optimal assignment will indicate a transition from scalar to two-dimensional encoding when the amount of encoded information becomes sufficiently large

Reference 11

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verified fuzzy
raw_fallback, observed 2026-08-06T19:39:40.282814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation cb4f060c-9e01-46c8-b93c-f15915408fe3 · outbound

This paper cites (C24) The fixed Ω constraint in Eq.

Intuitive dissection of the Gaussian information bottleneck method with an application to optimal prediction (C24) The fixed Ω constraint in Eq

Reference 12

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verified fuzzy
raw_fallback, observed 2026-08-06T19:39:40.174820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 0c78ba9b-a801-4094-9556-725486041671 · outbound

This paper cites Starting with the dimensions ℓ∗ 1 and ℓ∗ 2 of the P (s|z) ellipse (see Eq.

Intuitive dissection of the Gaussian information bottleneck method with an application to optimal prediction Starting with the dimensions ℓ∗ 1 and ℓ∗ 2 of the P (s|z) ellipse (see Eq

Reference 13

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verified fuzzy
raw_fallback, observed 2026-08-06T19:39:40.037669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 3d9fed6c-1a40-43e7-9e31-8eb69f3307a9 · outbound

This paper cites an unresolved cited work.

Intuitive dissection of the Gaussian information bottleneck method with an application to optimal prediction Unresolved cited work

Reference 14

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unresolved
raw_fallback, observed 2026-08-06T19:39:39.866027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation c9ae0d59-e4d3-49bb-9774-d26668f33c8e · outbound

This paper cites an unresolved cited work.

Intuitive dissection of the Gaussian information bottleneck method with an application to optimal prediction Unresolved cited work

Reference 15

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raw_fallback, observed 2026-08-06T19:39:39.691506Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 05df00dc-8b74-4579-a1bc-9257c38044d7 · outbound

This paper cites an unresolved cited work.

Intuitive dissection of the Gaussian information bottleneck method with an application to optimal prediction Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:39:39.503239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 9bddfcfc-3bf9-4321-b53d-68edd00e6923 · outbound

This paper cites an unresolved cited work.

Intuitive dissection of the Gaussian information bottleneck method with an application to optimal prediction Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:39:39.319489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T19:39:37.285932Z digest=sha256:b24fe3261825e72e06cbb2a7873b1f567ba4a4ec729d7945a16db9a255128de9

Observation 0ce2a43c-491e-4f95-9709-d6a4f5efa533 · outbound

This paper cites (D24b) As can be seen, the product in the second case contains an extra non-negative term because, by our chosen convention, λ2 ≥ λ1 and σ2 ≥ σ1.

Intuitive dissection of the Gaussian information bottleneck method with an application to optimal prediction (D24b) As can be seen, the product in the second case contains an extra non-negative term because, by our chosen convention, λ2 ≥ λ1 and σ2 ≥ σ1

Reference 18

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verified fuzzy
raw_fallback, observed 2026-08-06T19:39:39.196783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T19:39:37.386988Z digest=sha256:596a0c422bffc833ccbd5fc19b07f80e49d723f600648cf3cdd086b5e1cd9440

Observation 59317a2f-2202-4b7e-9068-22ae00f31992 · outbound

This paper cites These results are analogous to those in the original work of Chechik et al.

Intuitive dissection of the Gaussian information bottleneck method with an application to optimal prediction These results are analogous to those in the original work of Chechik et al

Reference 19

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verified fuzzy
raw_fallback, observed 2026-08-06T19:39:39.029064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T19:39:37.438530Z digest=sha256:2c524c5d80f6e1f373f7a2472a1af5fd86218638b31f9f3b9cfb494a225d8415

Observation fb492407-1459-4dd6-b01c-3cff7c69f65e · outbound

This paper cites an unresolved cited work.

Intuitive dissection of the Gaussian information bottleneck method with an application to optimal prediction Unresolved cited work

Reference 20

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unresolved
raw_fallback, observed 2026-08-06T19:39:38.901340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 062debad-39c0-48ae-bc5a-f14ce1443b61 · outbound

This paper cites The problem of finding the mixing matrix M from Eq.

Intuitive dissection of the Gaussian information bottleneck method with an application to optimal prediction The problem of finding the mixing matrix M from Eq

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:39:38.743696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T19:39:37.596855Z digest=sha256:e6a57e8021ef7e5573e242e81660d4ee230d33a203127ed128fa31ffc56e4873

Observation 71f7c742-0600-4864-ad1d-803ac8960ac6 · outbound

This paper cites V of the main text is valid.

Intuitive dissection of the Gaussian information bottleneck method with an application to optimal prediction V of the main text is valid

Reference 22

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raw_fallback, observed 2026-08-06T19:39:38.616998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T19:39:37.652727Z digest=sha256:d0566a71ef1252f07ed2936e77ab3a069266d78e53f1206a954aef555f42c36f

Observation ceee87e8-54a5-41de-be62-4cb041c0808b · outbound

This paper cites In it, an object of mass m is connected via a spring to the origin and experiences stochastic kicks from the viscous environment.

Intuitive dissection of the Gaussian information bottleneck method with an application to optimal prediction In it, an object of mass m is connected via a spring to the origin and experiences stochastic kicks from the viscous environment

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:39:38.497359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T19:39:37.742746Z digest=sha256:0a181b9ccdc95e3d352385a1515a7502e83d3e8d46acddd8280f1e3454cd9ec9

Observation 030a29b4-7b0b-40a8-9946-ea093eb9b128 · outbound

This paper cites cosh(κt) + η 2κ sinh(κt) 1 κ sinh(κt) − 1 κ sinh(κt) cosh( κt) − η 2κ sinh(κt) # e−ηt/2, (E34a) η <2 : eFt =.

Intuitive dissection of the Gaussian information bottleneck method with an application to optimal prediction cosh(κt) + η 2κ sinh(κt) 1 κ sinh(κt) − 1 κ sinh(κt) cosh( κt) − η 2κ sinh(κt) # e−ηt/2, (E34a) η <2 : eFt =

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:39:38.377676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T19:39:37.812315Z digest=sha256:a696e105b94b2fb10ad4c5cfb5011728d16c3c900974fcd728e9a2c68d3b4384

Observation 6a7d4940-4c7d-427c-af3f-25784d841b5d · outbound

This paper cites The key quantity that dictates the properties of the optimal strategy is the covariance matrix Σs0|sτ , where τ stands for the prediction interval.

Intuitive dissection of the Gaussian information bottleneck method with an application to optimal prediction The key quantity that dictates the properties of the optimal strategy is the covariance matrix Σs0|sτ , where τ stands for the prediction interval

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:39:38.247615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T19:39:37.891800Z digest=sha256:e335f06bce633e62d5e68c66298fa4cd893063cbed6d8f2363dae3fa94cafa9c

Observation a4f1a809-0463-47fe-9f18-d0f859ebc0ae · outbound

This paper cites left-tilted.

Intuitive dissection of the Gaussian information bottleneck method with an application to optimal prediction left-tilted

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:39:38.110210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T19:39:37.944065Z digest=sha256:f7c5b5c29117b709a39c8794c8f9b42767aab2fb1fa75a5cf37ce6cf9959f331

Pith citing papers

Observation 335b88c9-2fc7-4167-87fc-94dfe0c2049e · inbound

Theoretical Analysis of Resource-Induced Phase Transitions in Estimation Strategies cites this paper.

Theoretical Analysis of Resource-Induced Phase Transitions in Estimation Strategies Intuitive dissection of the Gaussian information bottleneck method with an application to optimal prediction

Reference 42

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no resolver link, observed 2026-08-03T22:34:53.820129Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:34:53.820129Z digest=sha256:e09463c2e20cdefc97cda19f5ceb51dd9eff5ef6df8d13e913dc9977b3e8cd0f