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Paper Citation Record · LEDGER

A Strongly Non-Saturated Aronszajn Tree Without Weak Kurepa Trees

As of 8 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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:55:34.381365Z digest=sha256:536116f9fa42e251ed6fcd90ce86fc92d8e5428a3c87cbe9ca5990dd5af8c8c9

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:55:34.387572Z digest=sha256:57b396335aaa36e40cc1a75a3658b7a6faa0c9bdfd8cca666972c1cca68fac70

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:55:34.393718Z digest=sha256:aa228dc2ed9f5a5641745c00d38b2f18b7d75487a23c4a28f6bc3e7c263d8e35

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:55:34.398921Z digest=sha256:95a8dae287e8f0d556fba6c2da6d7b156db834124a81d4272f697689233f69f0

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:55:34.404715Z digest=sha256:e05ef0834f11b81f61daa8b990a2fc596a8d9bb70daea00d143750072a34e93b

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:55:34.410797Z digest=sha256:ff62ac50689f24e41afceaf905472bd8830e4f1395418df738273f8f2fe79434

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:55:34.416646Z digest=sha256:0f1a10ff541ac0415c2032b7d3a823a3bd45ba21fd4bcbcf444ef26ecaa011b2

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:55:34.422143Z digest=sha256:7b51aa01f0fea01924fd5f4cc76dd2065602c97365f6b19f83f2880ccc54e240

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:55:34.427303Z digest=sha256:37821cb160dc230b8c191016b5d8e7c43fdb53bb7765f2f9b7947ceb2550fdcd

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:55:34.432599Z digest=sha256:31b188f056a38068c854f0ed2caf83bfcd7251ba9bff26bd95a4c331bb890db9

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:55:34.439699Z digest=sha256:5e216ccc0645cbb377f34b207ab0fa3a3453eeddd502dbf616e1c70fcab1ba57

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:55:34.445395Z digest=sha256:4e9382dad5f7f460e37bf2ccd4c23bbbcdf1fda6369cc482f493e97966c20085

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:55:34.450917Z digest=sha256:b36103f56dd65b02b0547302fd4132b3a88ac407097b11f6f061af1ab4e12bbe

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:55:34.457006Z digest=sha256:731e91bc007343697fe68de94be143fee93e87627c7ccb293b3d1e834349d1e1

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:55:34.462395Z digest=sha256:231c4fa0b0eee8026ba511e5cd08849c1fdd2dc75df2e8e9d195b4d76aad1368

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:55:34.467529Z digest=sha256:60b6f9eae8b28fbddace79cdf205f9a65d94ce8b72209f4f35f9eec474bfc7e8

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:55:34.473923Z digest=sha256:0723857bc84dd467c333c60b870269b88e0ef34d2a23c63331c83b532f34a9be

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:55:34.478997Z digest=sha256:d3afa1c3c13f22597ac0ca33717e9c798174790415731eb3684fdbc93244429f

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:55:34.484259Z digest=sha256:8aed7f720b1f6e9b72ba3a35144eb51e839489cbaf5c2bbf25c67b9f0a561a64

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:55:34.490890Z digest=sha256:c6f84371cbd85bb678cc4bde3b4f87d40a78596419da8e66cecd142fc310d735

Pith citing papers

No inbound Pith citation observations are available.