Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T19:47:56.429862Z
Paper Citation Record · LEDGER
Submodules of $H^2(\mathbb{T}^2)$ and Frames by Pairs of Bounded Commuting Operators
As of 8 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2507.04992.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
23 of 23 outbound references displayed
- verified exact0
- verified fuzzy3
- unresolved19
- parse uncertain0
- malformed identifier0
- metadata mismatch1
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation d7a74204-ca8e-4e5c-9969-b84fc8eb711f · outbound
This paper cites an unresolved cited work.
Submodules of $H^2(\mathbb{T}^2)$ and Frames by Pairs of Bounded Commuting Operators Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:47:56.798499Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 0172089a-89e6-4c33-9004-b2d65e983f31 · outbound
This paper cites an unresolved cited work.
Submodules of $H^2(\mathbb{T}^2)$ and Frames by Pairs of Bounded Commuting Operators Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:47:56.784787Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8d97f262-0a91-4ad8-b39c-8a52e799fcf4 · outbound
This paper cites an unresolved cited work.
Submodules of $H^2(\mathbb{T}^2)$ and Frames by Pairs of Bounded Commuting Operators Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:47:56.770258Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation aa0d579f-1e7e-4ad0-82df-f96cb19eb8e0 · outbound
This paper cites an unresolved cited work.
Submodules of $H^2(\mathbb{T}^2)$ and Frames by Pairs of Bounded Commuting Operators Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:47:56.756328Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 69649e55-bde2-45ea-9bb9-aea2702dc5e1 · outbound
This paper cites Dynamical Frames and Hyperinvariant Subspaces.
Submodules of $H^2(\mathbb{T}^2)$ and Frames by Pairs of Bounded Commuting Operators Dynamical Frames and Hyperinvariant Subspaces
Reference 5
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-06T19:47:56.472278Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation adf36969-665d-4621-988a-89cec072d15c · outbound
This paper cites an unresolved cited work.
Submodules of $H^2(\mathbb{T}^2)$ and Frames by Pairs of Bounded Commuting Operators Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:47:56.741137Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 1139e6c4-1184-488a-ac5b-62f0f2845847 · outbound
This paper cites an unresolved cited work.
Submodules of $H^2(\mathbb{T}^2)$ and Frames by Pairs of Bounded Commuting Operators Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:47:56.726726Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 4588761c-a583-498a-bbd9-6c16bf51c016 · outbound
This paper cites an unresolved cited work.
Submodules of $H^2(\mathbb{T}^2)$ and Frames by Pairs of Bounded Commuting Operators Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:47:56.711220Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 35b67481-6fcf-47b3-b3f9-c740a0625ba9 · outbound
This paper cites B., A course in functional analysis Springer-Verlag, New York, (1990).
Submodules of $H^2(\mathbb{T}^2)$ and Frames by Pairs of Bounded Commuting Operators B., A course in functional analysis Springer-Verlag, New York, (1990)
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:47:56.695981Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 32bede03-c9e4-4a03-a18b-17006620b863 · outbound
This paper cites an unresolved cited work.
Submodules of $H^2(\mathbb{T}^2)$ and Frames by Pairs of Bounded Commuting Operators Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:47:56.681201Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 68665bce-f1e0-47b2-9287-77f35a975025 · outbound
This paper cites an unresolved cited work.
Submodules of $H^2(\mathbb{T}^2)$ and Frames by Pairs of Bounded Commuting Operators Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:47:56.667687Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8601590d-b0c6-4687-b43d-892460debc91 · outbound
This paper cites an unresolved cited work.
Submodules of $H^2(\mathbb{T}^2)$ and Frames by Pairs of Bounded Commuting Operators Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:47:56.653373Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 48fab198-d6ab-4d72-9486-ea8208e1ea8c · outbound
This paper cites an unresolved cited work.
Submodules of $H^2(\mathbb{T}^2)$ and Frames by Pairs of Bounded Commuting Operators Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:47:56.638474Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation b15d5b1d-ffaa-41af-a786-c64bfa771c9d · outbound
This paper cites an unresolved cited work.
Submodules of $H^2(\mathbb{T}^2)$ and Frames by Pairs of Bounded Commuting Operators Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:47:56.624374Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation a3e115b9-9aa3-4a40-a295-5e601a720f07 · outbound
This paper cites an unresolved cited work.
Submodules of $H^2(\mathbb{T}^2)$ and Frames by Pairs of Bounded Commuting Operators Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:47:56.608998Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 3b426fac-86a4-47fb-9f69-9ba9be4c2e90 · outbound
This paper cites an unresolved cited work.
Submodules of $H^2(\mathbb{T}^2)$ and Frames by Pairs of Bounded Commuting Operators Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:47:56.594752Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 58bac4ff-7203-4115-953e-6191741142de · outbound
This paper cites an unresolved cited work.
Submodules of $H^2(\mathbb{T}^2)$ and Frames by Pairs of Bounded Commuting Operators Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:47:56.581090Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 76f085a7-af96-4664-9690-620a70c04384 · outbound
This paper cites , New York, (2003).
Submodules of $H^2(\mathbb{T}^2)$ and Frames by Pairs of Bounded Commuting Operators , New York, (2003)
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:47:56.566521Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d67bc9a6-e013-43a6-b7cd-62816d69c770 · outbound
This paper cites an unresolved cited work.
Submodules of $H^2(\mathbb{T}^2)$ and Frames by Pairs of Bounded Commuting Operators Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:47:56.550511Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 03ba6b82-f736-4913-9a99-cb176da5533a · outbound
This paper cites an unresolved cited work.
Submodules of $H^2(\mathbb{T}^2)$ and Frames by Pairs of Bounded Commuting Operators Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:47:56.534890Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d6a866de-30e6-4a65-9d9b-c02e4a405d7d · outbound
This paper cites an unresolved cited work.
Submodules of $H^2(\mathbb{T}^2)$ and Frames by Pairs of Bounded Commuting Operators Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:47:56.518750Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 95f058fc-655b-496d-b27a-e6484ed7ecd6 · outbound
This paper cites an unresolved cited work.
Submodules of $H^2(\mathbb{T}^2)$ and Frames by Pairs of Bounded Commuting Operators Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:47:56.502960Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation db12cd8e-3cb4-4b76-accf-46a06f4d44c5 · outbound
This paper cites Luis Santal´o.
Submodules of $H^2(\mathbb{T}^2)$ and Frames by Pairs of Bounded Commuting Operators Luis Santal´o
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:47:56.488131Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Pith citing papers
No inbound Pith citation observations are available.