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Paper Citation Record · LEDGER

A Strongly Non-Saturated Aronszajn Tree Without Weak Kurepa Trees

As of 9 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2506.06878.

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

pith.paper-citation-record.v1
2506.06878 v2

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:55:34.490890Z

measured 20 of 20 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

20 of 20 outbound references displayed

  • verified exact0
  • verified fuzzy13
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 00947337-c667-4626-affa-406a7051bab9 · outbound

This paper cites an unresolved cited work.

A Strongly Non-Saturated Aronszajn Tree Without Weak Kurepa Trees Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:55:34.837435Z

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.

source=arxiv_source observed=2026-08-07T05:55:34.381365Z digest=sha256:1039a100a57775fda58c4e856a4449f931ade42891c5b00f5ccfbd2705b681c3

Observation 37ea894f-9afe-4bb9-9f66-cfc28ae6a787 · outbound

This paper cites an unresolved cited work.

A Strongly Non-Saturated Aronszajn Tree Without Weak Kurepa Trees Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:55:34.821973Z

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.

source=arxiv_source observed=2026-08-07T05:55:34.387572Z digest=sha256:e8bdcddf843ebbcdc974c59143679d75936ea1cf4318610704e2d873b9642706

Observation 6358ab63-ccd4-493a-8855-40f34d0feb16 · outbound

This paper cites an unresolved cited work.

A Strongly Non-Saturated Aronszajn Tree Without Weak Kurepa Trees Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:55:34.808272Z

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.

source=arxiv_source observed=2026-08-07T05:55:34.393718Z digest=sha256:bb52f230313ea08948631b4d34d470e953611a4d9e8c2c6c15dc77ece04669ad

Observation acb8ca15-29e4-4561-8a64-9b134730f09f · outbound

This paper cites Cox and J.

A Strongly Non-Saturated Aronszajn Tree Without Weak Kurepa Trees Cox and J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:34.794014Z

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.

source=arxiv_source observed=2026-08-07T05:55:34.398921Z digest=sha256:3736aac384d2b513c5194613ff794609b0d72251fd6b7ce96624d659026a742a

Observation b3375e56-540f-4e76-b271-cdc7458e031f · outbound

This paper cites an unresolved cited work.

A Strongly Non-Saturated Aronszajn Tree Without Weak Kurepa Trees Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:55:34.779884Z

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.

source=arxiv_source observed=2026-08-07T05:55:34.404715Z digest=sha256:69009180fdba32a114c29dab5aebc5d4dd71c32a746e0ddeb70c14f28d478fe0

Observation 194f67e6-3ff0-47e2-b8a7-cfd205641920 · outbound

This paper cites Chodounsk\' y and J.

A Strongly Non-Saturated Aronszajn Tree Without Weak Kurepa Trees Chodounsk\' y and J

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:34.765910Z

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.

source=arxiv_source observed=2026-08-07T05:55:34.410797Z digest=sha256:b8290c5e45bb1e2a23e1f90ae41251028cd7f51ce436738bb3c8ef2118c8434b

Observation 7f5e9613-6728-43ef-9987-19bd86296c8e · outbound

This paper cites Jensen and K.

A Strongly Non-Saturated Aronszajn Tree Without Weak Kurepa Trees Jensen and K

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:34.751772Z

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.

source=arxiv_source observed=2026-08-07T05:55:34.416646Z digest=sha256:6f0d8f3bbacec951d215f50418310be933c856411b85b5df7243d19fcdd533e0

Observation d9bb526c-05ab-408f-902a-190ee7890b2d · outbound

This paper cites K\" o nig, P.

A Strongly Non-Saturated Aronszajn Tree Without Weak Kurepa Trees K\" o nig, P

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:34.737487Z

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.

source=arxiv_source observed=2026-08-07T05:55:34.422143Z digest=sha256:1a2a6bf334a6af8cda49a804325c78f3fd5e99f682399312859067c8eb70eb26

Observation 3ba7a1b5-9ce9-419c-8dd7-5f03d9dc3a1e · outbound

This paper cites Krueger and E.

A Strongly Non-Saturated Aronszajn Tree Without Weak Kurepa Trees Krueger and E

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:34.722807Z

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.

source=arxiv_source observed=2026-08-07T05:55:34.427303Z digest=sha256:6fcedc57c25a61d65c3f44cc32b1d4e074300a9f47ac4d4942686c5921e7b85c

Observation 53c96167-3417-416c-aa47-7e2eac8843c9 · outbound

This paper cites Krueger, Forcing with adequate sets of models as side conditions, Math.

A Strongly Non-Saturated Aronszajn Tree Without Weak Kurepa Trees Krueger, Forcing with adequate sets of models as side conditions, Math

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:34.706627Z

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.

source=arxiv_source observed=2026-08-07T05:55:34.432599Z digest=sha256:5d3ca8d63cc786b912cf71e5be4bb1bc80c2c0d72b92c3a748a253bd8b1d26b1

Observation bfc21d94-0fc0-4c2d-8e54-0a1898c114b3 · outbound

This paper cites an unresolved cited work.

A Strongly Non-Saturated Aronszajn Tree Without Weak Kurepa Trees Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:55:34.690435Z

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.

source=arxiv_source observed=2026-08-07T05:55:34.439699Z digest=sha256:3e523a69c600aaf18d03f6a3954cf92006d3242bc884969f0911e5e454e0b9a9

Observation b628f258-f968-44ac-8934-f19aaf555ad2 · outbound

This paper cites Krueger and S.

A Strongly Non-Saturated Aronszajn Tree Without Weak Kurepa Trees Krueger and S

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:34.675394Z

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.

source=arxiv_source observed=2026-08-07T05:55:34.445395Z digest=sha256:f77406c92c576ce696b96b34d2d4704e7b16bdc4f2ba9782a8d7c5b9599cc432

Observation 707dc07a-47f4-49bf-8939-f1070ae1f0f0 · outbound

This paper cites Mitchell, Aronszajn trees and the independence of the transfer property, Ann.

A Strongly Non-Saturated Aronszajn Tree Without Weak Kurepa Trees Mitchell, Aronszajn trees and the independence of the transfer property, Ann

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:34.659524Z

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.

source=arxiv_source observed=2026-08-07T05:55:34.450917Z digest=sha256:6361ebed9eb31fcc907b21a612e2a3d1da7ddc2f9fe536418fb4d14a7cb475c2

Observation a2d80994-99bb-4802-a2bc-181d96fb75a8 · outbound

This paper cites an unresolved cited work.

A Strongly Non-Saturated Aronszajn Tree Without Weak Kurepa Trees Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:55:34.642398Z

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.

source=arxiv_source observed=2026-08-07T05:55:34.457006Z digest=sha256:3330bc36b46897e37d3b648913212138b61da621f56d259ec73affff46e06cb1

Observation ea5a3f20-e623-439d-b2b2-47c186a4ddd3 · outbound

This paper cites Notes Log., vol.

A Strongly Non-Saturated Aronszajn Tree Without Weak Kurepa Trees Notes Log., vol

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:34.625063Z

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.

source=arxiv_source observed=2026-08-07T05:55:34.462395Z digest=sha256:0c60b99b6ddc95d70d861c3af9497386ce2f437cfebb936647f3975ed5052d02

Observation 0c127c79-0d8b-42da-86e0-1cd147657051 · outbound

This paper cites Silver, The independence of K urepa's conjecture and two-cardinal conjectures in model theory , Axiomatic Set Theory (D.

A Strongly Non-Saturated Aronszajn Tree Without Weak Kurepa Trees Silver, The independence of K urepa's conjecture and two-cardinal conjectures in model theory , Axiomatic Set Theory (D

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:34.608113Z

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.

source=arxiv_source observed=2026-08-07T05:55:34.467529Z digest=sha256:e55f892e27b57873f075a1dd71876c81f783d646fe0b147072e6f19f52765699

Observation cd9e9313-f748-4f1e-b258-3401e74d9603 · outbound

This paper cites Todor c evi\' c , Partitioning pairs of countable ordinals, Acta Math.

A Strongly Non-Saturated Aronszajn Tree Without Weak Kurepa Trees Todor c evi\' c , Partitioning pairs of countable ordinals, Acta Math

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:34.592471Z

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.

source=arxiv_source observed=2026-08-07T05:55:34.473923Z digest=sha256:8fb04686398bd97351413caab977a751d0c3613ae4407fa0b82fef6424a05454

Observation 189c43b5-28fa-4f2c-9aa7-18089b20bb04 · outbound

This paper cites an unresolved cited work.

A Strongly Non-Saturated Aronszajn Tree Without Weak Kurepa Trees Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:55:34.576759Z

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.

source=arxiv_source observed=2026-08-07T05:55:34.478997Z digest=sha256:96ee9c58b2c86cf5432cf59e9aefc1ba0feb924a9e42662b1f4fbe3dc66a0551

Observation 8169504c-4916-4c21-bc23-04caee34384e · outbound

This paper cites Viale and C.

A Strongly Non-Saturated Aronszajn Tree Without Weak Kurepa Trees Viale and C

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:34.561089Z

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.

source=arxiv_source observed=2026-08-07T05:55:34.484259Z digest=sha256:4bea8ceca35c5c397a7efd4130ed59ecb5b1f9ec585f52df68297ee9b6f5a62b

Observation b106d250-80dc-4eaa-a930-f2bc023e3b6e · outbound

This paper cites Weiss, The combinatorial essence of supercompactness, Ann.

A Strongly Non-Saturated Aronszajn Tree Without Weak Kurepa Trees Weiss, The combinatorial essence of supercompactness, Ann

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:55:34.544495Z

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.

source=arxiv_source observed=2026-08-07T05:55:34.490890Z digest=sha256:c2ee45536f009d41ecbaed634d2a718be049282c99a7adfc8a03de724d200aac

Pith citing papers

No inbound Pith citation observations are available.