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Paper Citation Record · LEDGER

Positive-definiteness in separable priors: effects on prior interpretability and inference

As of 20 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2605.22640.

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

pith.paper-citation-record.v1
2605.22640 v2

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-30T16:17:41.069328Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

12 of 12 outbound references displayed

  • verified exact6
  • verified fuzzy4
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0848d779-6d5e-44ec-8194-9bda4a66126b · outbound

This paper cites doi: 10.1016/j.jmva.2015.01.015.

Positive-definiteness in separable priors: effects on prior interpretability and inference doi: 10.1016/j.jmva.2015.01.015

Reference 1

Resolution
verified exact
doi, observed 2026-06-30T16:24:54.708768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T16:17:41.069328Z digest=sha256:aece036f0675ebb06cf0a3e944e1c39b5c87f74eda726c59385cd1765611f315

Observation 80d827bd-4119-4270-8496-1ce90bb27878 · outbound

This paper cites doi: 10.1093/biostatistics/kxm045.

Positive-definiteness in separable priors: effects on prior interpretability and inference doi: 10.1093/biostatistics/kxm045

Reference 2

Resolution
verified exact
doi, observed 2026-06-30T16:24:54.730381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T16:17:41.069328Z digest=sha256:1a154a0629502d7e7f754ebf93e3123763325c8895f3a13644c737aeaa692e1f

Observation 6dba78a9-b6c9-45e9-a892-da25a52ba54c · outbound

This paper cites L., Athanasopoulos, G., and Hyndman, R.

Positive-definiteness in separable priors: effects on prior interpretability and inference L., Athanasopoulos, G., and Hyndman, R

Reference 3

Resolution
metadata mismatch
arxiv_id, observed 2026-06-30T16:24:54.720246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T16:17:41.069328Z digest=sha256:427f039f5a96de55808b7c21d59e3bdb797b7cbd5ee33c4c1dccb048615e3c94

Observation ea0f1670-9736-4e7b-b1e9-d0eae442aa51 · outbound

This paper cites Locally associated graphical models and mixed convex exponential families.

Positive-definiteness in separable priors: effects on prior interpretability and inference Locally associated graphical models and mixed convex exponential families

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-06-30T16:24:56.803891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T16:17:41.069328Z digest=sha256:0437b5cf55013e07ada2fabb5e3be1c610ac57cc12325dc9e8df8331cb3dcddd

Observation 7211f97d-ae3a-4226-a146-5c3ed2d9129f · outbound

This paper cites Bayesian computation for high-dimensional Gaussian Graphical Models with spike-and-slab priors.

Positive-definiteness in separable priors: effects on prior interpretability and inference Bayesian computation for high-dimensional Gaussian Graphical Models with spike-and-slab priors

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-07-21T03:21:37.563758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T16:17:41.069328Z digest=sha256:cb1e7c83de7aed58235e2547215c9a5758d603a60ade5b3a218985b271b6a61a

Observation 0144f74c-a31a-4aaf-b2d3-05da052b73c0 · outbound

This paper cites doi: 10.1214/12-BA729.

Positive-definiteness in separable priors: effects on prior interpretability and inference doi: 10.1214/12-BA729

Reference 6

Resolution
verified exact
doi, observed 2026-06-30T16:24:54.687761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T16:17:41.069328Z digest=sha256:ae9affeb6faba3472301168cb417096eb46aaa83971b7e8aa8c208f99fb7b5e4

Observation d0fb0e3d-ce7f-440c-b397-fa87904af78b · outbound

This paper cites doi: 10.1214/14-BA916.

Positive-definiteness in separable priors: effects on prior interpretability and inference doi: 10.1214/14-BA916

Reference 7

Resolution
verified exact
doi, observed 2026-06-30T16:24:54.699242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T16:17:41.069328Z digest=sha256:ee5649fc5178ec23c1149ada471e4759b8731f606b102327d3ebe946d843b1f2

Observation a27d2f34-b376-4beb-8f75-9b928274d3b7 · outbound

This paper cites off-diagonals with densityπ.

Positive-definiteness in separable priors: effects on prior interpretability and inference off-diagonals with densityπ

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T14:04:57.969692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T16:17:41.069328Z digest=sha256:c36e84b3db89727f5d62251816aeba76b695010a2c4a50739dcad498596ca380

Observation 4be1880d-6713-40f7-8dc8-d04c98247c38 · outbound

This paper cites It follows that we still have limk→∞ c= 1 if one sets anyσ= µ (2+δk) √ k such thatk −2/3 =o(δ k).

Positive-definiteness in separable priors: effects on prior interpretability and inference It follows that we still have limk→∞ c= 1 if one sets anyσ= µ (2+δk) √ k such thatk −2/3 =o(δ k)

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T13:54:59.297831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T16:17:41.069328Z digest=sha256:c0d3e2aa8e239811d2dcb4719edf61b6b0d5b92e9819a1686642e89121da88de

Observation a5ef8130-fcff-4b8c-b210-f5d58ffa3cfb · outbound

This paper cites To ease notation, letl z(Θ) andl z′(Θ) be random variables with distribution equal to the conditional distributionλ min(Θ)|Z=zandλ min(Θ)|Z=z ′ respectively.

Positive-definiteness in separable priors: effects on prior interpretability and inference To ease notation, letl z(Θ) andl z′(Θ) be random variables with distribution equal to the conditional distributionλ min(Θ)|Z=zandλ min(Θ)|Z=z ′ respectively

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T13:54:59.300283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T16:17:41.069328Z digest=sha256:07e30be4e6f2c9029d61fe209089108ebff95a5cef1277fe4fe07e163b433e25

Observation ba5812e2-e0dd-412c-a210-e817a3addc3f · outbound

This paper cites an unresolved cited work.

Positive-definiteness in separable priors: effects on prior interpretability and inference Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-07-08T13:54:58.555469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T16:17:41.069328Z digest=sha256:df4307dc11458fa246158adff65b04e459089425919f09ca565fbb3063e64887

Observation 6812168a-5bca-49cd-9e4d-eff96cf331ec · outbound

This paper cites (2012), Theorem 2.7 shows that deviations of the maximum eigenvalue of a sparse Wigner matrix from 2 are of the orderk −2/3.

Positive-definiteness in separable priors: effects on prior interpretability and inference (2012), Theorem 2.7 shows that deviations of the maximum eigenvalue of a sparse Wigner matrix from 2 are of the orderk −2/3

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T14:04:57.967554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T16:17:41.069328Z digest=sha256:c564ec3728bd0f6c93fa92a593c16ebd67de085fad7bcf2b5f4dfa17bfb44c26

Pith citing papers

No inbound Pith citation observations are available.