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Paper Citation Record · LEDGER

Factorization of positive definite kernels. Correspondences: $C^{*}$-algebraic and operator valued context vs scalar valued kernels

As of 19 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2505.21037.

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

pith.paper-citation-record.v1
2505.21037 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:53:34.566893Z

measured 14 of 14 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

14 of 14 outbound references displayed

  • verified exact0
  • verified fuzzy9
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f34b9e64-28bd-4d19-9267-7b37391bcd7e · outbound

This paper cites an unresolved cited work.

Factorization of positive definite kernels. Correspondences: $C^{*}$-algebraic and operator valued context vs scalar valued kernels Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:53:38.625194Z

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.

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Observation 2894cb8e-4bb6-4d96-bd9b-8a0314f09700 · outbound

This paper cites Kribs, Jeremy Levick, Rajesh Pereira, and Mizanur Rahaman,Operator algebra generalization of a theorem of Watrous and mixed unitary quantum channels, J.

Factorization of positive definite kernels. Correspondences: $C^{*}$-algebraic and operator valued context vs scalar valued kernels Kribs, Jeremy Levick, Rajesh Pereira, and Mizanur Rahaman,Operator algebra generalization of a theorem of Watrous and mixed unitary quantum channels, J

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:53:35.911710Z

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=2026-08-07T13:53:34.269683Z digest=sha256:3cfe57b48be9857e0433feb6e9720ba4bf2f70e5c8d1ac9de290321de89c6b29

Observation 141d1b36-f0e4-45f1-b64e-c3f355c13fc9 · outbound

This paper cites Di- mens.

Factorization of positive definite kernels. Correspondences: $C^{*}$-algebraic and operator valued context vs scalar valued kernels Di- mens

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:53:36.585862Z

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=2026-08-07T13:53:33.849239Z digest=sha256:39f27e51fb3b848ed3e27cf7ed10936bc8af87789215ee171e640b8f1769f81b

Observation 7a91278a-c2be-41d5-a40c-fcf47514b838 · outbound

This paper cites an unresolved cited work.

Factorization of positive definite kernels. Correspondences: $C^{*}$-algebraic and operator valued context vs scalar valued kernels Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:53:37.770499Z

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=2026-08-07T13:53:33.487431Z digest=sha256:1353c05e30b17bb00359b15b6f018f10cac9904b2867cd1da9e8dd274c81d00f

Observation 0775e3c4-5c5c-4be7-a035-22ebd7fdc689 · outbound

This paper cites Henrichs,Decomposition of invariant states and nonseparableC ∗-algebras, Publ.

Factorization of positive definite kernels. Correspondences: $C^{*}$-algebraic and operator valued context vs scalar valued kernels Henrichs,Decomposition of invariant states and nonseparableC ∗-algebras, Publ

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:53:37.482399Z

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=2026-08-07T13:53:33.586450Z digest=sha256:18de511ad73bec81fefcd6362848b536e2fc0f90d82c036428b4dbcee4df9547

Observation a0b6f49b-429c-4d10-8281-40e0d53e1c54 · outbound

This paper cites Theory Signal Process.

Factorization of positive definite kernels. Correspondences: $C^{*}$-algebraic and operator valued context vs scalar valued kernels Theory Signal Process

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:53:36.336556Z

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=2026-08-07T13:53:33.947659Z digest=sha256:ec4c6b5c3501ecffced75c53efdcaac560eecdca1355252e6d068ef3763349d9

Observation 9d53a7a5-6363-4e43-9b4a-abad384447d8 · outbound

This paper cites Kadison and John R.

Factorization of positive definite kernels. Correspondences: $C^{*}$-algebraic and operator valued context vs scalar valued kernels Kadison and John R

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:53:35.738096Z

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=2026-08-07T13:53:34.356866Z digest=sha256:f098efc1026345c40a6765dfe368b5094bb76e0786c228ed42c5ac8f191310b1

Observation f9f99b85-c7d6-403e-84fe-6fbcc3f1b189 · outbound

This paper cites an unresolved cited work.

Factorization of positive definite kernels. Correspondences: $C^{*}$-algebraic and operator valued context vs scalar valued kernels Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:53:37.217154Z

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=2026-08-07T13:53:33.666340Z digest=sha256:7a3688417cd73aa091cfa91f80b3863177b966c6e178c22017184de8187219cc

Observation e9ac566f-69e8-4395-afe2-788948e89d35 · outbound

This paper cites Ball, Gregory Marx, and Victor Vinnikov,Free noncommutative hereditary kernels: Jordan decomposition, Arveson extension, kernel domination, Doc.

Factorization of positive definite kernels. Correspondences: $C^{*}$-algebraic and operator valued context vs scalar valued kernels Ball, Gregory Marx, and Victor Vinnikov,Free noncommutative hereditary kernels: Jordan decomposition, Arveson extension, kernel domination, Doc

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:53:38.042635Z

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=2026-08-07T13:53:33.381825Z digest=sha256:4f0e1cedc39f916b8c868a689fa1415c26b62fe8111d7da49441c40a5cf92733

Observation ec81c485-2d64-4b68-8e51-38c61c636501 · outbound

This paper cites an unresolved cited work.

Factorization of positive definite kernels. Correspondences: $C^{*}$-algebraic and operator valued context vs scalar valued kernels Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:53:36.956335Z

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=2026-08-07T13:53:33.770079Z digest=sha256:436f46587c715ba92a503107c774b4aae0a1e79152431fc0336980275193150f

Observation 94effbfd-a01a-4586-8d14-02ebeff30edf · outbound

This paper cites D 476(2025), Paper No.

Factorization of positive definite kernels. Correspondences: $C^{*}$-algebraic and operator valued context vs scalar valued kernels D 476(2025), Paper No

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:53:36.135604Z

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=2026-08-07T13:53:34.125096Z digest=sha256:f0a3881cb93cd1ddaf2a180d7cacb389ebffb6f6a22a1eea57e05ec7242ab35a

Observation ca29c8c2-70ac-4da9-a89b-1d909ffbb88e · outbound

This paper cites Forrest Stinespring,Positive functions onC ∗-algebras, Proc.

Factorization of positive definite kernels. Correspondences: $C^{*}$-algebraic and operator valued context vs scalar valued kernels Forrest Stinespring,Positive functions onC ∗-algebras, Proc

Reference 1971

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:53:34.878112Z

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=2026-08-07T13:53:34.566893Z digest=sha256:cafb3aa1975a06faea0c9311a794ca1e1f34eca6ba83675aaa993a7c6f9d45a5

Observation eca8bc90-4496-4f2d-8286-93fcccb1c2f1 · outbound

This paper cites an unresolved cited work.

Factorization of positive definite kernels. Correspondences: $C^{*}$-algebraic and operator valued context vs scalar valued kernels Unresolved cited work

Reference 1976

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:53:38.338695Z

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=2026-08-07T13:53:33.262661Z digest=sha256:e2481c2819ec3e5df8b47db1b358613795686e2d5ea8a520795b079c73a4f098

Observation 4566abde-4b4c-43c2-907e-872d607be7a0 · outbound

This paper cites Pinto, Marcelo S.

Factorization of positive definite kernels. Correspondences: $C^{*}$-algebraic and operator valued context vs scalar valued kernels Pinto, Marcelo S

Reference 2016

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:53:35.339710Z

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=2026-08-07T13:53:34.444150Z digest=sha256:94f63fcf580bf0f59b9d4048b56ef54410a74f353a3bf5b9564401dfa3d4507a

Pith citing papers

No inbound Pith citation observations are available.