Paper Citation Record · LEDGER

Two $\mathfrak{b}$ or not two $\mathfrak{b}$?

As of 9 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2507.03734.

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

pith.paper-citation-record.v1
2507.03734 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:21:11.791265Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

21 of 21 outbound references displayed

verified exact2
verified fuzzy9
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7ad81f97-584d-4f56-a5ed-8a5840068a24 · outbound

This paper cites MR 1350295.

Two $\mathfrak{b}$ or not two $\mathfrak{b}$? MR 1350295

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:21:14.821548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 5dba1ee7-69f3-481d-81bd-f49f7ebb24e3 · outbound

This paper cites an unresolved cited work.

Two $\mathfrak{b}$ or not two $\mathfrak{b}$? Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:21:14.668238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8f89bcec-be9a-440c-8012-060cb5416e3a · outbound

This paper cites an unresolved cited work.

Two $\mathfrak{b}$ or not two $\mathfrak{b}$? Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:21:14.481386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 090d1377-af1f-4528-b981-fac90801cbaa · outbound

This paper cites Pure Appl.

Two $\mathfrak{b}$ or not two $\mathfrak{b}$? Pure Appl

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:21:14.369565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation cd6051f0-7087-4ff5-84ad-4f9e9ad8e5b2 · outbound

This paper cites Michael Canjar, Cofinalities of countable ultraproducts: the existence theorem, Notre Dame J.

Two $\mathfrak{b}$ or not two $\mathfrak{b}$? Michael Canjar, Cofinalities of countable ultraproducts: the existence theorem, Notre Dame J

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:21:14.218754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation af4daa8a-7450-4dbb-bd2d-f7c0b901d1c2 · outbound

This paper cites MR 2632174.

Two $\mathfrak{b}$ or not two $\mathfrak{b}$? MR 2632174

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:21:14.074026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7f8f532d-fc6f-4625-8574-2b7ab708acf5 · outbound

This paper cites an unresolved cited work.

Two $\mathfrak{b}$ or not two $\mathfrak{b}$? Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:21:13.874919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 5dbf2618-1c66-422f-b390-d77e3320940e · outbound

This paper cites Pure Appl.

Two $\mathfrak{b}$ or not two $\mathfrak{b}$? Pure Appl

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:21:13.610607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 4e4a9940-a9b6-4e64-99f7-710d1b7b83ea · outbound

This paper cites an unresolved cited work.

Two $\mathfrak{b}$ or not two $\mathfrak{b}$? Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:21:13.359203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a0c1ccd0-871e-417e-b38a-bcdfe2dbaf39 · outbound

This paper cites Borel complexity of sets of ideal limit points.

Two $\mathfrak{b}$ or not two $\mathfrak{b}$? Borel complexity of sets of ideal limit points

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-06T20:21:12.025363Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e4e085e9-7e4d-4ed5-b530-73087cc68c3f · outbound

This paper cites Symbolic Logic 72 (2007), no.

Two $\mathfrak{b}$ or not two $\mathfrak{b}$? Symbolic Logic 72 (2007), no

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:21:13.221135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 5d272e31-9095-4116-856a-e2c7c69c47e6 · outbound

This paper cites an unresolved cited work.

Two $\mathfrak{b}$ or not two $\mathfrak{b}$? Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:21:13.093130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7185ae89-9ca8-41b5-85c7-6dc8a958bfa6 · outbound

This paper cites an unresolved cited work.

Two $\mathfrak{b}$ or not two $\mathfrak{b}$? Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:21:12.946261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6e3279f3-eea5-440d-9057-0bf6640de4ad · outbound

This paper cites Kechris, Classical descriptive set theory , Graduate Texts in Mathematics, vol.

Two $\mathfrak{b}$ or not two $\mathfrak{b}$? Kechris, Classical descriptive set theory , Graduate Texts in Mathematics, vol

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:21:12.823848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a9ac58c9-6aed-48ed-8201-faa0248a2172 · outbound

This paper cites an unresolved cited work.

Two $\mathfrak{b}$ or not two $\mathfrak{b}$? Unresolved cited work

Reference 15

Resolution: verified exact; doi, observed 2026-08-06T20:21:11.918293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b696d286-94aa-4d79-b5d9-c85c5529b4c4 · outbound

This paper cites an unresolved cited work.

Two $\mathfrak{b}$ or not two $\mathfrak{b}$? Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:21:12.738433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b1df987e-313f-48ba-9c3d-3553c62fde35 · outbound

This paper cites Meza-Alc´ antara,Ideals and filters on countable set , Ph.D.

Two $\mathfrak{b}$ or not two $\mathfrak{b}$? Meza-Alc´ antara,Ideals and filters on countable set , Ph.D

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:21:12.648016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8fffb039-53a5-4421-9227-a2cc58de3a68 · outbound

This paper cites an unresolved cited work.

Two $\mathfrak{b}$ or not two $\mathfrak{b}$? Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:21:12.561387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a921ec64-48fd-46f3-9398-0829383c2a38 · outbound

This paper cites an unresolved cited work.

Two $\mathfrak{b}$ or not two $\mathfrak{b}$? Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:21:12.435461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7371ee90-3a85-47ef-ba8e-7a4b18aff15d · outbound

This paper cites 67 (1980), no.

Two $\mathfrak{b}$ or not two $\mathfrak{b}$? 67 (1980), no

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:21:12.312975Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 32975fcc-e1fd-460c-8ce1-45cd1f553bd5 · outbound

This paper cites an unresolved cited work.

Two $\mathfrak{b}$ or not two $\mathfrak{b}$? Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:21:12.180280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Pith citing papers

No inbound Pith citation observations are available.