Paper Citation Record · LEDGER

Piece selection and cardinal arithmetic

As of 16 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:1908.04375.

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

pith.paper-citation-record.v1
1908.04375 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:09:56.247203Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

37 of 37 outbound references displayed

verified exact0
verified fuzzy31
unresolved6
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 00aac4e9-6f28-4172-b2bb-447dcd8482dc · outbound

This paper cites ABE, Combinatorics for small ideals on Pκλ, Mathematical Logic Quar- terly 43 (1997), 541-549.

Piece selection and cardinal arithmetic ABE, Combinatorics for small ideals on Pκλ, Mathematical Logic Quar- terly 43 (1997), 541-549

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:09:57.504128Z

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 09a0ad71-2b00-41b2-9c6c-bba7ffcc2c0c · outbound

This paper cites an unresolved cited work.

Piece selection and cardinal arithmetic Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:09:57.473153Z

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 f74d2e03-fba0-44a9-824d-f6a06e344441 · outbound

This paper cites BAUMGARTNER, Ineﬀability properties of cardinals II , in : Logic, Foundations of Mathematics and Computability Theorys (R.

Piece selection and cardinal arithmetic BAUMGARTNER, Ineﬀability properties of cardinals II , in : Logic, Foundations of Mathematics and Computability Theorys (R

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:09:57.448255Z

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 507573d2-d5e5-42b3-9bac-5ef257773ea0 · outbound

This paper cites BOOS, Inﬁnitary compactness without strong inaccessibility , Journal of Symbolic Logic 41 (1976), 33-38.

Piece selection and cardinal arithmetic BOOS, Inﬁnitary compactness without strong inaccessibility , Journal of Symbolic Logic 41 (1976), 33-38

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:09:57.425321Z

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 a83de33e-fdaa-45cf-8f30-a775737e963b · outbound

This paper cites an unresolved cited work.

Piece selection and cardinal arithmetic Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:09:57.388900Z

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 dd62b1db-28c0-47f2-bb84-c102aa470211 · outbound

This paper cites CARR, Pκλ Partition relations , Fundamenta Mathematicae 128 (1987), 181-195.

Piece selection and cardinal arithmetic CARR, Pκλ Partition relations , Fundamenta Mathematicae 128 (1987), 181-195

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:09:57.361263Z

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 d9467732-43b2-4029-937e-159a79b365b3 · outbound

This paper cites CUMMINGS, M.

Piece selection and cardinal arithmetic CUMMINGS, M

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-14T14:09:55.997219Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3b46c62b-3281-40ef-9961-c83115e04a22 · outbound

This paper cites DI PRISCO and W.S.

Piece selection and cardinal arithmetic DI PRISCO and W.S

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:09:57.316174Z

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 317ca77d-0202-4a50-b3fd-14171509524d · outbound

This paper cites DONDER and P.

Piece selection and cardinal arithmetic DONDER and P

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:09:57.107672Z

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 d56ecb43-9b4e-4e47-8ac6-d512dc111864 · outbound

This paper cites FONTANELLA, The strong tree property at successors of singular car- dinals, Journal of Symbolic Logic 79 (2014), 193-207.

Piece selection and cardinal arithmetic FONTANELLA, The strong tree property at successors of singular car- dinals, Journal of Symbolic Logic 79 (2014), 193-207

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:09:57.081491Z

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 73c70a1c-f359-41b8-8ce8-2647a3a033c9 · outbound

This paper cites FONTANELLA and P.

Piece selection and cardinal arithmetic FONTANELLA and P

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:09:57.046960Z

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 1d5a671f-e31d-434f-bbda-3880c58e8b9c · outbound

This paper cites JOHNSON, Distributive ideals and partition relations , Journal of Symbolic Logic 51 (1986), 617-625.

Piece selection and cardinal arithmetic JOHNSON, Distributive ideals and partition relations , Journal of Symbolic Logic 51 (1986), 617-625

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:09:57.018363Z

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 b9d8eeed-7322-4a0e-8a7b-0524762d0e26 · outbound

This paper cites JOHNSON, Some partition relations for ideals on Pκλ, Acta Mathe- matica Hungarica 56 (1990), 269-282.

Piece selection and cardinal arithmetic JOHNSON, Some partition relations for ideals on Pκλ, Acta Mathe- matica Hungarica 56 (1990), 269-282

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:09:56.970656Z

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 c472f80d-d751-45d7-821f-ca427b64a0be · outbound

This paper cites LANDVER, Singular Baire numbers and related topics , Ph.D.

Piece selection and cardinal arithmetic LANDVER, Singular Baire numbers and related topics , Ph.D

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:09:56.929476Z

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 c3825218-033d-474a-ba5d-575b9df00f26 · outbound

This paper cites MAGIDOR and S.

Piece selection and cardinal arithmetic MAGIDOR and S

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:09:56.901518Z

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 f3ca2a2b-ede4-46c2-ab3f-364d4adde8ee · outbound

This paper cites MATET, Partition relations for κ-normal ideals on Pκ (λ), Annals of Pure and Applied Logic 121 (2003), 89-111.

Piece selection and cardinal arithmetic MATET, Partition relations for κ-normal ideals on Pκ (λ), Annals of Pure and Applied Logic 121 (2003), 89-111

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:09:56.868343Z

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 8eb7c193-57b5-493f-abc0-4585fc0543b6 · outbound

This paper cites MATET, Covering for category and combinatorics on Pκ (λ), Journal of the Mathematical Society of Japan 58 (2006), 153-181.

Piece selection and cardinal arithmetic MATET, Covering for category and combinatorics on Pκ (λ), Journal of the Mathematical Society of Japan 58 (2006), 153-181

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:09:56.839397Z

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 de803b20-cde6-4056-8ad9-c4ebd37b565e · outbound

This paper cites MATET, Weak square bracket partition relations for Pκ (λ), Journal of Symbolic Logic 73 (2008), 729-751.

Piece selection and cardinal arithmetic MATET, Weak square bracket partition relations for Pκ (λ), Journal of Symbolic Logic 73 (2008), 729-751

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:09:56.808905Z

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 bb7d441e-0cf4-4f90-9227-4ba8b4ac8830 · outbound

This paper cites MATET, Large cardinals and covering numbers , Fundamenta Mathe- maticae 205 (2009), 45-75.

Piece selection and cardinal arithmetic MATET, Large cardinals and covering numbers , Fundamenta Mathe- maticae 205 (2009), 45-75

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:09:56.779986Z

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 a6d3a740-290b-4297-9bad-2837c9f82ecf · outbound

This paper cites MATET, Normal restrictions of the non-coﬁnal ideal on Pκ (λ), Funda- menta Mathematicae 221 (2013), 1-22.

Piece selection and cardinal arithmetic MATET, Normal restrictions of the non-coﬁnal ideal on Pκ (λ), Funda- menta Mathematicae 221 (2013), 1-22

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-14T14:09:56.114600Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 16c4ee66-02b3-41b2-8b28-99ffe482a318 · outbound

This paper cites MATET, Scales with various kinds of good points , Mathematical Logic Quarterly 64 (2018), 349-370.

Piece selection and cardinal arithmetic MATET, Scales with various kinds of good points , Mathematical Logic Quarterly 64 (2018), 349-370

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:09:56.723176Z

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 0e60d237-f018-4d5b-a9e8-544eccbc3bad · outbound

This paper cites MATET, Applications of pcf theory to the study of ideals on Pκ (λ), preprint.

Piece selection and cardinal arithmetic MATET, Applications of pcf theory to the study of ideals on Pκ (λ), preprint

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:09:56.692762Z

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 e1a00463-77f4-4105-bb56-b626c1e51c8e · outbound

This paper cites MATET and C.

Piece selection and cardinal arithmetic MATET and C

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:09:56.656059Z

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 c00d22b8-6095-42d1-9ab2-fac4c30eca31 · outbound

This paper cites MATET, C.

Piece selection and cardinal arithmetic MATET, C

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:09:56.630291Z

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 676dad5a-6965-4e9e-b4d2-5761ff0ab241 · outbound

This paper cites MATET, C.

Piece selection and cardinal arithmetic MATET, C

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:09:56.604127Z

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 0ac995fd-3674-4ad0-84f8-6aedc2b74d00 · outbound

This paper cites MATET, A.

Piece selection and cardinal arithmetic MATET, A

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:09:56.578435Z

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 2e9b33a3-5467-4197-a8dd-13e8bff17a44 · outbound

This paper cites MATET and S.

Piece selection and cardinal arithmetic MATET and S

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:09:56.550201Z

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 3d1158c8-5c31-447f-90a3-91011af6878a · outbound

This paper cites MENAS, On strong compactness and supercompactness , Annals of Mathematical Logic 7 (1974), 327-359.

Piece selection and cardinal arithmetic MENAS, On strong compactness and supercompactness , Annals of Mathematical Logic 7 (1974), 327-359

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:09:56.528306Z

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 dfa4edb4-82df-4025-9a43-7c291d8d3d5c · outbound

This paper cites NEEMAN, Aronszajn trees and the failure of the singular cardinal hy- pothesis, Journal of Mathematical Logic 9 (2009), 139-157.

Piece selection and cardinal arithmetic NEEMAN, Aronszajn trees and the failure of the singular cardinal hy- pothesis, Journal of Mathematical Logic 9 (2009), 139-157

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:09:56.506772Z

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 f69e16af-0349-4362-9d95-33561f3f82fe · outbound

This paper cites SHELAH, Cardinal Arithmetic , Oxford Logic Guides vol.

Piece selection and cardinal arithmetic SHELAH, Cardinal Arithmetic , Oxford Logic Guides vol

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-14T14:09:56.192328Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4cd1f6cc-5211-4500-a486-62ea753e5d44 · outbound

This paper cites SHELAH, The Generalized Continuum Hypothesis revisited , Israel Jour- nal of Mathematics 116 (2000), 285-321.

Piece selection and cardinal arithmetic SHELAH, The Generalized Continuum Hypothesis revisited , Israel Jour- nal of Mathematics 116 (2000), 285-321

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-14T14:09:56.200040Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 36f9528e-6133-4432-b270-26d05a9d3852 · outbound

This paper cites SHIOYA, Partition properties for subsets of Pκλ, Fundamenta Mathe- maticae 161 (1999), 325-329.

Piece selection and cardinal arithmetic SHIOYA, Partition properties for subsets of Pκλ, Fundamenta Mathe- maticae 161 (1999), 325-329

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:09:56.449521Z

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 50416442-b378-44ca-8a41-bd0c87f2841a · outbound

This paper cites SOLOVAY, Strongly compact cardinals and the GCH , in : Proceedings of the Tarski Symposium, (L.

Piece selection and cardinal arithmetic SOLOVAY, Strongly compact cardinals and the GCH , in : Proceedings of the Tarski Symposium, (L

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:09:56.420448Z

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 231e758f-934d-41ff-818a-62958b4aee80 · outbound

This paper cites SPECKER, Sur un probl` eme de Sikorski , Colloquium Mathematicum 2 (1951), 9-12.

Piece selection and cardinal arithmetic SPECKER, Sur un probl` eme de Sikorski , Colloquium Mathematicum 2 (1951), 9-12

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:09:56.397134Z

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 92f340ba-5ea9-4ee8-bde2-607f7bcf8aaf · outbound

This paper cites USUBA, Ineﬀability of Pκλ for λ with small coﬁnality , Journal of the Mathematical Society of Japan 60 (2008), 935-954.

Piece selection and cardinal arithmetic USUBA, Ineﬀability of Pκλ for λ with small coﬁnality , Journal of the Mathematical Society of Japan 60 (2008), 935-954

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:09:56.374077Z

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 a3d7e224-01a8-441e-8725-cea3f2797509 · outbound

This paper cites USUBA, Hierarchies of Ineﬀabilities , Mathematical Logic Quarterly 59 (2013), 230-237.

Piece selection and cardinal arithmetic USUBA, Hierarchies of Ineﬀabilities , Mathematical Logic Quarterly 59 (2013), 230-237

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:09:56.345463Z

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 f248299c-71db-4118-9119-6c839b600e6c · outbound

This paper cites WEIß, The combinatorial essence of supercompactness , Annals of Pure and Applied Logic 163 (2012), 1710-1717.

Piece selection and cardinal arithmetic WEIß, The combinatorial essence of supercompactness , Annals of Pure and Applied Logic 163 (2012), 1710-1717

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:09:56.313778Z

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

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