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Paper Citation Record · LEDGER

Besicovitch covering numbers for $\mathcal B$-free and other shifts

As of 19 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 1 inbound Pith citation observation for arXiv:2505.09253.

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

pith.paper-citation-record.v1
2505.09253 v2

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T21:48:30.628467Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-10T08:08:49.307988Z

measured 1 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

36 of 36 outbound references displayed

  • verified exact2
  • verified fuzzy20
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 7dbe4f03-6fa6-47b3-bcfe-9667b2756ddd · outbound

This paper cites Baake, F.

Besicovitch covering numbers for $\mathcal B$-free and other shifts Baake, F

Reference 1

Resolution
verified exact
doi, observed 2026-08-15T21:48:30.651263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:48:30.237093Z digest=sha256:e9511ea1667c76bbe348a146c500b00b0e6ad3d1f1075d95993659c7cadc2e57

Observation 7a1f8b92-d68d-4037-8947-9871f1d92949 · outbound

This paper cites Bergelson, J.

Besicovitch covering numbers for $\mathcal B$-free and other shifts Bergelson, J

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:48:31.724346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:48:30.306150Z digest=sha256:788376b55d9a979dcf36f412326840da378a7d4d5ea90a75703875742d7c6bbf

Observation c1622c7b-aca9-4f26-9298-be7b711048cf · outbound

This paper cites Blanchard, E.

Besicovitch covering numbers for $\mathcal B$-free and other shifts Blanchard, E

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:48:31.718032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:48:30.310596Z digest=sha256:e5e6c122c93be6298f21a7db3ca2ce2559a028c7e77da992a5579bb7301e885e

Observation b441aa26-6e35-4037-b454-a0d79bf62b39 · outbound

This paper cites de Melo and S.

Besicovitch covering numbers for $\mathcal B$-free and other shifts de Melo and S

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:48:31.708818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:48:30.314463Z digest=sha256:4bcfa6d57b9566c99be7a762e3b4602852e83e94e6a2a78f0dee7c29ec159927

Observation 713548b4-156d-4eca-821e-6c268ddcde18 · outbound

This paper cites Downarowicz.

Besicovitch covering numbers for $\mathcal B$-free and other shifts Downarowicz

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:48:31.585500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:48:30.318055Z digest=sha256:6f8328d3a469080e522b6fbea8b7581f7e300840f3ca8b556b463d8a7e79733f

Observation e1e883ca-c643-45f3-b5c6-e77be6b14c21 · outbound

This paper cites Downarowicz and E.

Besicovitch covering numbers for $\mathcal B$-free and other shifts Downarowicz and E

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:48:31.489603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:48:30.321537Z digest=sha256:1aef9f2a80c1304cbbf90941115a46794404defb2f36424a6818a6262367d060

Observation b05c9e98-2d7a-4008-a15f-863df19800a1 · outbound

This paper cites an unresolved cited work.

Besicovitch covering numbers for $\mathcal B$-free and other shifts Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:48:31.422493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:48:30.324726Z digest=sha256:e60e658b55ed001dafb42585523327cfb4aeee5aa77e37de443960122bb4dc55

Observation aa530e4f-08cb-4aa2-a59c-3f81376cdae3 · outbound

This paper cites Dymek, S.

Besicovitch covering numbers for $\mathcal B$-free and other shifts Dymek, S

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:48:31.414113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:48:30.327159Z digest=sha256:3b68e9a444b86aefc9fb996b191a7e18431f4523ebb3c58377a1887fae444a92

Observation c9adead0-26df-48dd-bd1b-bea918e203d5 · outbound

This paper cites Dymek, S.

Besicovitch covering numbers for $\mathcal B$-free and other shifts Dymek, S

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:48:31.404361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:48:30.329961Z digest=sha256:de02e57c4ddf851e6b3131cd6b92eecf5e14b1353176ea2d91ad8dc00dc6e045

Observation 0acc6749-f6fe-42ca-aea3-bc58adcafadc · outbound

This paper cites Dymek, S.

Besicovitch covering numbers for $\mathcal B$-free and other shifts Dymek, S

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:48:31.376308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:48:30.332941Z digest=sha256:bc6208f0181650f0d0a2a8670dd1a10969d7ff023da0cdbf7a69288698f9b304

Observation 390881ec-9d8a-4e88-98c2-b34a0ac45833 · outbound

This paper cites Fuhrmann, M.

Besicovitch covering numbers for $\mathcal B$-free and other shifts Fuhrmann, M

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:48:31.333647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:48:30.335486Z digest=sha256:a42743009a2c7f0c15b56746dfe59ea378cc52289a59d02c9ed379ce5202c9cd

Observation 83b2d8a8-04be-428f-8410-ab67f1a97e4f · outbound

This paper cites Fuhrmann, M.

Besicovitch covering numbers for $\mathcal B$-free and other shifts Fuhrmann, M

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:48:31.323598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:48:30.338212Z digest=sha256:e2668f7ca7df2af0c588184c228d8ff3412fed32181e3e278f24edac9d5e6478

Observation 373d831a-913d-450c-96b2-f975f938aa07 · outbound

This paper cites García-Ramos.

Besicovitch covering numbers for $\mathcal B$-free and other shifts García-Ramos

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:48:31.313599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:48:30.341159Z digest=sha256:878f08d3309ad70ba4615517002fced09989ee90dba3a0a14aa1a12cf021f8a7

Observation 63e7ed1b-6d69-4393-8a4e-88acc54bf57e · outbound

This paper cites Garcia-Ramos, T.

Besicovitch covering numbers for $\mathcal B$-free and other shifts Garcia-Ramos, T

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:48:31.265793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:48:30.344238Z digest=sha256:e6b3be5c9ad3169bebeb0cacd7f1625db6886d88d9107fb8eaa1f76d55ecf954

Observation 1aae4a36-7e87-4363-9cb6-d866bebf2e18 · outbound

This paper cites Halberstam and K.

Besicovitch covering numbers for $\mathcal B$-free and other shifts Halberstam and K

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:48:31.175112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:48:30.346980Z digest=sha256:3b91f5c7be67e98fe8406bee5f9dd604219998d8002d1e040a1b640459f6eedf

Observation 03b5e39b-df29-4aef-9a89-a9493de96434 · outbound

This paper cites an unresolved cited work.

Besicovitch covering numbers for $\mathcal B$-free and other shifts Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:48:31.167345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:48:30.349490Z digest=sha256:4d106f52cb7244e96df002c955e1a4d0c47219df02b6bd99cebe0b8a0be61a9b

Observation f03157ec-3f53-4942-a734-66c8a03f3edc · outbound

This paper cites an unresolved cited work.

Besicovitch covering numbers for $\mathcal B$-free and other shifts Unresolved cited work

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-15T21:48:30.352730Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:48:30.352730Z digest=sha256:5bfa19b8445d0e93fbc87aac060ed0f78bf7d5c8bf70cfc2fcef83d17c43c93a

Observation d26ea0de-12bd-4035-b557-e881f2b06f94 · outbound

This paper cites Scales.

Besicovitch covering numbers for $\mathcal B$-free and other shifts Scales

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-08-15T21:48:30.701023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:48:30.355731Z digest=sha256:9332fa47b23c70ac0a3bcb894c963669eddb345085634ac5f2a57333191ad870

Observation 0e77acdb-7a27-4982-9b6d-a54e947daee9 · outbound

This paper cites Kasjan, G.

Besicovitch covering numbers for $\mathcal B$-free and other shifts Kasjan, G

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:48:31.155662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:48:30.385811Z digest=sha256:844c79d2329e2dff57484052022e59b0365a9e8a890f848cb3c24e6afdcc4764

Observation e109579e-9dba-411f-90ec-bb0618219a97 · outbound

This paper cites an unresolved cited work.

Besicovitch covering numbers for $\mathcal B$-free and other shifts Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:48:31.147137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:48:30.462150Z digest=sha256:2ea7b336e915d651b74ffabf563d6f714254b7860e1784da9d409736dc8c9f51

Observation 40ed19f7-288b-41ed-b81a-c95209d4e001 · outbound

This paper cites Keller, M.

Besicovitch covering numbers for $\mathcal B$-free and other shifts Keller, M

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:48:31.113854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:48:30.546833Z digest=sha256:d52c4200654a6332060af5913b557673bc991333e356c4221cce06d0bd8e62b3

Observation 95a573a7-d196-49c4-bafc-da2146c0b243 · outbound

This paper cites Keller and C.

Besicovitch covering numbers for $\mathcal B$-free and other shifts Keller and C

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:48:31.025020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:48:30.585114Z digest=sha256:f9e319bada95780f89a6d0829a78a64b6117b47bb786c3eec9633531d0aa0ba7

Observation 1a6cf3ec-13c1-4def-9622-f59f2ceb11a9 · outbound

This paper cites Keller and C.

Besicovitch covering numbers for $\mathcal B$-free and other shifts Keller and C

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:48:31.015983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:48:30.594132Z digest=sha256:17cf01a55627e8c8303f7e8f39d9d6a8b3b07ea60baa8021849b7635a00002c7

Observation cd597747-8366-4ae6-96be-fbdf30909978 · outbound

This paper cites Keller, C.

Besicovitch covering numbers for $\mathcal B$-free and other shifts Keller, C

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:48:31.008467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:48:30.596919Z digest=sha256:ec2c7aa5e1fe52c2b2ce2928cc5c33780ec66da40785ab2e7b2631530e3b1843

Observation 231eeff1-dcee-483f-95fd-6c1949bb6a70 · outbound

This paper cites Kloeckner.

Besicovitch covering numbers for $\mathcal B$-free and other shifts Kloeckner

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:48:30.999641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:48:30.599546Z digest=sha256:d8fe88525b68016fd5ee3bb0b9786d0efc60a653e4f6906e885e3242bb3bc795

Observation 29cc2bb1-7ef7-4b1c-b69c-89e07e248916 · outbound

This paper cites Pure Point Diffraction and Mean, Besicovitch and Weyl Almost Periodicity.

Besicovitch covering numbers for $\mathcal B$-free and other shifts Pure Point Diffraction and Mean, Besicovitch and Weyl Almost Periodicity

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-15T21:48:30.602171Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:48:30.602171Z digest=sha256:77be50f4b5a910c208c167d1cb6d0abf0efa7b588836d25a4885f64fb2c268c5

Observation 6b8937ca-39fa-426d-9764-e4810e1e149c · outbound

This paper cites an unresolved cited work.

Besicovitch covering numbers for $\mathcal B$-free and other shifts Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:48:30.992336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:48:30.604645Z digest=sha256:aa0fb56fa56dc1a70e8aa757d0c07ac821b69e74d8e66e9b172a5181fde9b583

Observation 41436352-e9f2-4ee4-9008-cca482f252f7 · outbound

This paper cites an unresolved cited work.

Besicovitch covering numbers for $\mathcal B$-free and other shifts Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:48:30.983709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:48:30.607562Z digest=sha256:d89636f6e9b5d7803d6f698ffdd6b7dea08b11553da7790a346e79ea637a7191

Observation e8bf826c-b839-4fe0-a351-c44501fa81d0 · outbound

This paper cites an unresolved cited work.

Besicovitch covering numbers for $\mathcal B$-free and other shifts Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:48:30.946932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:48:30.610117Z digest=sha256:dc7aa6b4c1fd641b37f4df6d1096fb1bd54fbefab2fc51594acf66170d76f697

Observation b51f3f96-dedf-4a7d-a27f-bacb9d423d52 · outbound

This paper cites an unresolved cited work.

Besicovitch covering numbers for $\mathcal B$-free and other shifts Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:48:30.902393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:48:30.612570Z digest=sha256:e3dac6092866d81c48f1c5d7300b9d6fae0d90b879a1cd46cddd37209c09e43d

Observation 37446284-907e-4a2c-a2ae-8fb2403a3407 · outbound

This paper cites an unresolved cited work.

Besicovitch covering numbers for $\mathcal B$-free and other shifts Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:48:30.894662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:48:30.615332Z digest=sha256:04b696021a235e239adc23ddf648514edaa00a1552bb43736f0d0a3f9b5688d5

Observation 06ecb29e-466e-4502-941c-7d96914e26be · outbound

This paper cites an unresolved cited work.

Besicovitch covering numbers for $\mathcal B$-free and other shifts Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:48:30.886124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:48:30.617960Z digest=sha256:1340d45c0fad4355baa3493b672488993766fdde3bf2b61d507516db2b90adbb

Observation 48260d8e-5b0d-4464-888b-50f4a1e6606d · outbound

This paper cites an unresolved cited work.

Besicovitch covering numbers for $\mathcal B$-free and other shifts Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:48:30.858787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:48:30.620489Z digest=sha256:ac93fe253b539aa9e4820bb4eab6c344e5cc8e8dcbc97bd00baf20ab6a81915d

Observation 1048b2da-0ced-4be1-89cc-aadca4a2e546 · outbound

This paper cites an unresolved cited work.

Besicovitch covering numbers for $\mathcal B$-free and other shifts Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:48:30.821219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:48:30.623304Z digest=sha256:d7d0c4fd7c3046edf0f875657cdb5d9797fb1c51b61925a9410e6b94d7675aec

Observation e534a653-e8aa-4fa8-8543-1305b784d46d · outbound

This paper cites an unresolved cited work.

Besicovitch covering numbers for $\mathcal B$-free and other shifts Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:48:30.812010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:48:30.625803Z digest=sha256:c49a8f7f1ab008a20f682bf1d0f2b3644bfb85cdb92e0f5b3d48056ee705a389

Observation fe327181-45ef-4b37-bfe3-4ceb5964eeb8 · outbound

This paper cites Wiener and A.

Besicovitch covering numbers for $\mathcal B$-free and other shifts Wiener and A

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:48:30.803058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:48:30.628467Z digest=sha256:ef56a2ffe9e5fc025713bc700105e6f616198b78a210c390e5dcadccf45b00b9

Pith citing papers

Observation 3e2131ff-0f63-4a7b-9a58-a390fcd52a07 · inbound

Amorphic complexity and entropy for symbolic model sets cites this paper.

Amorphic complexity and entropy for symbolic model sets Besicovitch covering numbers for $\mathcal B$-free and other shifts

Reference 22

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