Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T23:41:00.110347Z
Paper Citation Record · LEDGER
$\mathbb{M}^*$, $\mathbb{N}^*$, and $\mathbb{H}^*$
As of 16 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2505.04425.
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 2026-08-16T06:30:59.297886+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
17 of 17 outbound references displayed
- verified exact6
- verified fuzzy5
- unresolved5
- parse uncertain0
- malformed identifier1
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 2753fa3e-5634-4121-bb00-7bc99c988369 · outbound
This paper cites an unresolved cited work.
$\mathbb{M}^*$, $\mathbb{N}^*$, and $\mathbb{H}^*$ Unresolved cited work
Reference 1
- Resolution
- verified exact
- doi, observed 2026-08-15T23:41:00.320229Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 221dcf2d-3c6c-4a13-ad83-20b4582f4adc · outbound
This paper cites Trivial Isomorphisms between Reduced Products.
$\mathbb{M}^*$, $\mathbb{N}^*$, and $\mathbb{H}^*$ Trivial Isomorphisms between Reduced Products
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T23:41:00.034878Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ac9ff418-3cad-4ebd-959d-a6b883ab7fdb · outbound
This paper cites Dow,Autohomeomorphisms of pre-images ofN ∗, Topology Appl.368(2025), Paper No.
$\mathbb{M}^*$, $\mathbb{N}^*$, and $\mathbb{H}^*$ Dow,Autohomeomorphisms of pre-images ofN ∗, Topology Appl.368(2025), Paper No
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T23:41:00.040111Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 034c380c-bbc8-4f69-8ea2-cd4fa1b92e5d · outbound
This paper cites Dow and K.
$\mathbb{M}^*$, $\mathbb{N}^*$, and $\mathbb{H}^*$ Dow and K
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T23:41:00.625264Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 26943fe4-d424-44b9-a190-c8b0fd7e4a69 · outbound
This paper cites an unresolved cited work.
$\mathbb{M}^*$, $\mathbb{N}^*$, and $\mathbb{H}^*$ Unresolved cited work
Reference 5
- Resolution
- verified exact
- doi, observed 2026-08-15T23:41:00.227777Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f7b7c7c7-38ae-4a1f-a911-84bf3072c2db · outbound
This paper cites Gelfand and A.
$\mathbb{M}^*$, $\mathbb{N}^*$, and $\mathbb{H}^*$ Gelfand and A
Reference 6
- Resolution
- verified exact
- raw_fallback, observed 2026-08-15T23:41:00.471175Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6b5d90ec-d72d-4145-8cc1-979fc4eaa01e · outbound
This paper cites 317–352, DOI 10.1016/0887- 2333(92)90021-I.
$\mathbb{M}^*$, $\mathbb{N}^*$, and $\mathbb{H}^*$ 317–352, DOI 10.1016/0887- 2333(92)90021-I
Reference 7
- Resolution
- malformed identifier
- doi_truncated, observed 2026-08-15T23:41:00.207539Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation be1a5ffb-0def-4623-b3d8-61489f8a43f6 · outbound
This paper cites 42, Cambridge University Press, Cambridge, 1993.
$\mathbb{M}^*$, $\mathbb{N}^*$, and $\mathbb{H}^*$ 42, Cambridge University Press, Cambridge, 1993
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T23:41:00.063805Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 13580c1e-213b-4d46-b3b9-c1b906210158 · outbound
This paper cites MR1462612.
$\mathbb{M}^*$, $\mathbb{N}^*$, and $\mathbb{H}^*$ MR1462612
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T23:41:00.604625Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 18933695-71af-45f3-8883-861087f943f5 · outbound
This paper cites Pure Appl.
$\mathbb{M}^*$, $\mathbb{N}^*$, and $\mathbb{H}^*$ Pure Appl
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T23:41:00.073890Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2a02d160-6bdf-4b34-b583-6713cc97723b · outbound
This paper cites J.23(1956), 409–419.
$\mathbb{M}^*$, $\mathbb{N}^*$, and $\mathbb{H}^*$ J.23(1956), 409–419
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T23:41:00.592713Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ffb01c18-8b05-4cde-8abe-d9889dfd30e6 · outbound
This paper cites 940, Springer-Verlag, Berlin-New York, 1982.
$\mathbb{M}^*$, $\mathbb{N}^*$, and $\mathbb{H}^*$ 940, Springer-Verlag, Berlin-New York, 1982
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T23:41:00.580206Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 28ac7dd8-6360-4feb-b5ed-00a1b3c71d96 · outbound
This paper cites an unresolved cited work.
$\mathbb{M}^*$, $\mathbb{N}^*$, and $\mathbb{H}^*$ Unresolved cited work
Reference 13
- Resolution
- verified exact
- doi, observed 2026-08-15T23:41:00.192150Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation cc8d9dff-4152-49f0-aa43-1e38b9c82d80 · outbound
This paper cites 84, Amer- ican Mathematical Society, Providence, RI, 1989.
$\mathbb{M}^*$, $\mathbb{N}^*$, and $\mathbb{H}^*$ 84, Amer- ican Mathematical Society, Providence, RI, 1989
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T23:41:00.566401Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d6e1d397-2c37-4d3c-9bb4-491708c35d40 · outbound
This paper cites 1, 1–13, DOI 10.1016/0166-8641(93)90127-Y.
$\mathbb{M}^*$, $\mathbb{N}^*$, and $\mathbb{H}^*$ 1, 1–13, DOI 10.1016/0166-8641(93)90127-Y
Reference 15
- Resolution
- verified exact
- doi, observed 2026-08-15T23:41:00.175252Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 36edbf18-f357-4fd5-8d9f-0de8b7b5bac4 · outbound
This paper cites an unresolved cited work.
$\mathbb{M}^*$, $\mathbb{N}^*$, and $\mathbb{H}^*$ Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T23:41:00.553417Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b384d789-3862-4226-af95-605c53acd3c1 · outbound
This paper cites an unresolved cited work.
$\mathbb{M}^*$, $\mathbb{N}^*$, and $\mathbb{H}^*$ Unresolved cited work
Reference 17
- Resolution
- verified exact
- doi, observed 2026-08-15T23:41:00.148399Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
No inbound Pith citation observations are available.