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Paper Citation Record · LEDGER

Cardinal invariants of Haar null and Haar meager sets

As of 16 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:1908.05776.

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

pith.paper-citation-record.v1
1908.05776 v4

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:16:15.430560Z

measured 13 of 13 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

13 of 13 outbound references displayed

  • verified exact2
  • verified fuzzy8
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 42c90b37-9558-482b-a848-476dca337a05 · outbound

This paper cites Banakh, Cardinal characteristics of the ideal of Haar null sets, Comment.

Cardinal invariants of Haar null and Haar meager sets Banakh, Cardinal characteristics of the ideal of Haar null sets, Comment

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:16:15.802696Z

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.

source=pdf_text observed=2026-08-14T13:16:15.338088Z digest=sha256:b531246b9400dbccba7c3fde32b05ec8513472f1cd3443235e154a697ee1ab34

Observation 4b9f715a-fba2-4114-b0ce-c4c3b6e6bdda · outbound

This paper cites Haar-$\mathcal I$ sets: looking at small sets in Polish groups through compact glasses.

Cardinal invariants of Haar null and Haar meager sets Haar-$\mathcal I$ sets: looking at small sets in Polish groups through compact glasses

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:16:15.524671Z

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.

source=pdf_text observed=2026-08-14T13:16:15.349659Z digest=sha256:6ae52c1f82cbc3af15ff6b756df039968ea3a24e0ab11eaf041ad790a8b63622

Observation 446c662a-105a-4548-ad58-e268e710af23 · outbound

This paper cites Bartoszyński, H.

Cardinal invariants of Haar null and Haar meager sets Bartoszyński, H

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:16:15.777428Z

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.

source=pdf_text observed=2026-08-14T13:16:15.362753Z digest=sha256:3ec7dcc81b749b45cdf20164483edc5f0533ff61cb5387d5a9a8f5cad2189f30

Observation 3ddb45af-ecca-434b-b387-1e5dbc428f2e · outbound

This paper cites Becker, A.

Cardinal invariants of Haar null and Haar meager sets Becker, A

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:16:15.741839Z

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.

source=pdf_text observed=2026-08-14T13:16:15.372607Z digest=sha256:ce6238de12f00b7c2b0a81903fe209290b808ac46979376b62b3255b11b6f1d2

Observation 5e3c682a-702f-45e3-842b-b34ccbea190c · outbound

This paper cites an unresolved cited work.

Cardinal invariants of Haar null and Haar meager sets Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:16:15.719051Z

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.

source=pdf_text observed=2026-08-14T13:16:15.379092Z digest=sha256:e68e3998d1e92065978bb00f059f4a09a330836c719911d5231976cbdeddf904

Observation 549b29f6-41fc-4379-918d-42c7c3cf62ae · outbound

This paper cites an unresolved cited work.

Cardinal invariants of Haar null and Haar meager sets Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:16:15.694736Z

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.

source=pdf_text observed=2026-08-14T13:16:15.384988Z digest=sha256:f885695139d8ddebbd959c040be2d40589bd508076538031fee4bf4916e5a4f4

Observation 168b7ded-be18-467f-aa0e-282aa9085deb · outbound

This paper cites Doležal, V.

Cardinal invariants of Haar null and Haar meager sets Doležal, V

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:16:15.671669Z

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.

source=pdf_text observed=2026-08-14T13:16:15.392512Z digest=sha256:6fd1a00e4273dc9545e1df122b71baf1151331d985bd400575bd8b08aec1a730

Observation 12215881-adb5-4f32-8b75-de42c5aa5342 · outbound

This paper cites Dougherty, Examples of non-shy sets, Fund.

Cardinal invariants of Haar null and Haar meager sets Dougherty, Examples of non-shy sets, Fund

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:16:15.650497Z

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.

source=pdf_text observed=2026-08-14T13:16:15.400364Z digest=sha256:45e4de76df36b586b4b2d082e3b93b49083ab13d9a6c735bbc9220b1192ee4c8

Observation 8847fe4c-3c2c-461f-8c37-bb5cd2163988 · outbound

This paper cites Haar null and Haar meager sets: a survey and new results.

Cardinal invariants of Haar null and Haar meager sets Haar null and Haar meager sets: a survey and new results

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:16:15.491247Z

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.

source=pdf_text observed=2026-08-14T13:16:15.405901Z digest=sha256:72a13ad258a873053d63b2edba2bbd8d87aa8df6ee6a6e2014116eb2c1d24838

Observation 022595b6-3a2b-4056-a4a4-ea8b177f84e7 · outbound

This paper cites Elekes, Z.

Cardinal invariants of Haar null and Haar meager sets Elekes, Z

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:16:15.621045Z

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.

source=pdf_text observed=2026-08-14T13:16:15.412351Z digest=sha256:39a71aeb0955b76df4529603b6e155d03ff8d9f03c9c9c02f8461a11bc71da8e

Observation 850468da-e986-4885-9fac-22823bb53423 · outbound

This paper cites an unresolved cited work.

Cardinal invariants of Haar null and Haar meager sets Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:16:15.592435Z

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.

source=pdf_text observed=2026-08-14T13:16:15.418059Z digest=sha256:2c044e1f685af93c8520037e48513838a9fa3a7e627b01c0a65ff8d397770fad

Observation 6cc5b270-3236-4dee-ab86-44d26860b95d · outbound

This paper cites Michael, Selected Selection Theorems, The Amer.

Cardinal invariants of Haar null and Haar meager sets Michael, Selected Selection Theorems, The Amer

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:16:15.569538Z

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.

source=pdf_text observed=2026-08-14T13:16:15.424142Z digest=sha256:cfbc5a58d0390ba835e494372f30cccdbc70e5b86b83fc4955605502424190ac

Observation 4b2dc51b-a30e-4aa8-b7c8-3bc1b26418f8 · outbound

This paper cites Solecki, On Haar null sets, Fund.

Cardinal invariants of Haar null and Haar meager sets Solecki, On Haar null sets, Fund

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:16:15.547806Z

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.

source=pdf_text observed=2026-08-14T13:16:15.430560Z digest=sha256:5f7e72aa320421d01d5aa0f6432bffeeca9468a50ce65ef19b8edbe4171cf7ea

Pith citing papers

No inbound Pith citation observations are available.