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Paper Citation Record · LEDGER

Near-optimal density theorems for large dilates of large point configurations

As of 5 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2604.18544.

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

pith.paper-citation-record.v1
2604.18544 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-10T03:21:13.625964Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+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

29 of 29 outbound references displayed

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  • verified fuzzy13
  • unresolved16
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation eb821560-4ef2-4fb9-a3ee-5364787cec27 · outbound

This paper cites Math.54(1986), no.

Near-optimal density theorems for large dilates of large point configurations Math.54(1986), no

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T16:56:49.137483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 37562472-2634-4766-a426-42d6db0b738f · outbound

This paper cites Moshchevitin,Badly approximable numbers and Littlewood-type problems, Math.

Near-optimal density theorems for large dilates of large point configurations Moshchevitin,Badly approximable numbers and Littlewood-type problems, Math

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T16:56:49.130775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 1c45f9e3-bbb2-4d48-90fb-1702bfc22260 · outbound

This paper cites Z.271(2012), no.

Near-optimal density theorems for large dilates of large point configurations Z.271(2012), no

Reference 3

Resolution
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raw_fallback, observed 2026-05-22T16:56:49.126902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation e5b154ed-707d-424b-80e8-1c27a4d2e355 · outbound

This paper cites Clarkson,Uniformly convex spaces, Trans.

Near-optimal density theorems for large dilates of large point configurations Clarkson,Uniformly convex spaces, Trans

Reference 4

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verified fuzzy
raw_fallback, observed 2026-05-22T16:56:49.119310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation bea82998-dc2f-4543-9792-50efe3a1e864 · outbound

This paper cites an unresolved cited work.

Near-optimal density theorems for large dilates of large point configurations Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-05-22T16:56:49.134200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 98412cc3-7bce-4997-bcb0-1ede48763b36 · outbound

This paper cites an unresolved cited work.

Near-optimal density theorems for large dilates of large point configurations Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-05-22T16:56:49.140605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation ba0ef3b6-5fbf-4563-980f-e446ad0219fa · outbound

This paper cites PDE15(2022), no.

Near-optimal density theorems for large dilates of large point configurations PDE15(2022), no

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T16:56:49.146718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation aa13f6e0-f63e-4ce7-bd2b-b61cd80b8838 · outbound

This paper cites an unresolved cited work.

Near-optimal density theorems for large dilates of large point configurations Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-05-22T16:56:49.122832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 09bbd39d-e03f-49ec-9ed0-ad75b1115c85 · outbound

This paper cites Math.267(2025), no.

Near-optimal density theorems for large dilates of large point configurations Math.267(2025), no

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T16:56:49.143549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation bd432dcb-c8b5-4a5c-9a61-25131620e354 · outbound

This paper cites an unresolved cited work.

Near-optimal density theorems for large dilates of large point configurations Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-05-22T16:56:49.115592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 33604ab3-4ec3-43e9-a3fb-2686a434d065 · outbound

This paper cites an unresolved cited work.

Near-optimal density theorems for large dilates of large point configurations Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-05-22T16:56:49.036111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation d71932b3-cec5-4818-9faa-772d729dc128 · outbound

This paper cites an unresolved cited work.

Near-optimal density theorems for large dilates of large point configurations Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-05-22T16:56:49.045188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T03:21:13.625964Z digest=sha256:0dcb8b7996c4746e6d4dbdb9c50bac71eb5c7c1de8299d32f12fa80e2ad557f9

Observation 3dc1f4d8-3ea2-426a-b2a1-544ea7bcff6d · outbound

This paper cites Graham,Recent trends in Euclidean Ramsey theory, Discrete Math.136(1994), no.

Near-optimal density theorems for large dilates of large point configurations Graham,Recent trends in Euclidean Ramsey theory, Discrete Math.136(1994), no

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T16:56:49.050238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 6c2656de-591a-4477-b185-d662621dd135 · outbound

This paper cites an unresolved cited work.

Near-optimal density theorems for large dilates of large point configurations Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-05-22T16:56:49.064379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 8f9c0695-f6d0-4342-bcd2-69a5bd77cc90 · outbound

This paper cites Workshop report 25/2023 of the confer- ence held at Oberwolfach, June 4–June 9, 2023 (T.

Near-optimal density theorems for large dilates of large point configurations Workshop report 25/2023 of the confer- ence held at Oberwolfach, June 4–June 9, 2023 (T

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T16:56:49.093906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 1c9602d1-ca61-4a77-a5cf-53ad8313cd61 · outbound

This paper cites an unresolved cited work.

Near-optimal density theorems for large dilates of large point configurations Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-05-22T16:56:49.071571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 2338d603-c5a2-4550-9374-d93d684a5e61 · outbound

This paper cites Math.50 (2024), no.

Near-optimal density theorems for large dilates of large point configurations Math.50 (2024), no

Reference 17

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 0de0de44-31a9-4794-acde-8777fc57b488 · outbound

This paper cites an unresolved cited work.

Near-optimal density theorems for large dilates of large point configurations Unresolved cited work

Reference 18

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unresolved
raw_fallback, observed 2026-05-22T16:56:49.107268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation b22b46b1-9464-4c1c-96af-0a830011d1f2 · outbound

This paper cites an unresolved cited work.

Near-optimal density theorems for large dilates of large point configurations Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-05-22T16:56:49.097781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 70ab96bd-f750-40c1-97db-32df2bead60d · outbound

This paper cites PDE13(2020), no.

Near-optimal density theorems for large dilates of large point configurations PDE13(2020), no

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T16:56:49.111233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation d4ced376-88ed-499e-85e2-0aee9888c9d3 · outbound

This paper cites an unresolved cited work.

Near-optimal density theorems for large dilates of large point configurations Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-05-22T16:56:49.032143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 662b1f57-8499-4378-ba9a-4a1bc16b0b0f · outbound

This paper cites Megginson,An introduction to Banach space theory, Graduate Texts in Mathematics, vol.

Near-optimal density theorems for large dilates of large point configurations Megginson,An introduction to Banach space theory, Graduate Texts in Mathematics, vol

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T16:56:49.079872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 9c5b2760-a3c5-4f3e-abb6-5f2b8ada00ec · outbound

This paper cites Moshchevitin,On small fractional parts of polynomials, J.

Near-optimal density theorems for large dilates of large point configurations Moshchevitin,On small fractional parts of polynomials, J

Reference 23

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verified fuzzy
raw_fallback, observed 2026-05-22T16:56:49.085908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 027ce2c0-04fe-4427-bc13-83fbd200538d · outbound

This paper cites an unresolved cited work.

Near-optimal density theorems for large dilates of large point configurations Unresolved cited work

Reference 24

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unresolved
raw_fallback, observed 2026-05-22T16:56:49.041012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation f6c90f58-2a32-4630-ba03-5d9a7a2a9859 · outbound

This paper cites an unresolved cited work.

Near-optimal density theorems for large dilates of large point configurations Unresolved cited work

Reference 25

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unresolved
raw_fallback, observed 2026-05-22T16:56:49.054438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation ecdf4f82-0456-40bd-9ad1-af63bd00e9cf · outbound

This paper cites an unresolved cited work.

Near-optimal density theorems for large dilates of large point configurations Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-05-22T16:56:49.075600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 8f68b8ad-df42-4b34-889c-45774721db2f · outbound

This paper cites an unresolved cited work.

Near-optimal density theorems for large dilates of large point configurations Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-05-22T16:56:49.068157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 3e0cccae-f581-4c73-a0e9-641d2bdf30d6 · outbound

This paper cites an unresolved cited work.

Near-optimal density theorems for large dilates of large point configurations Unresolved cited work

Reference 28

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unresolved
raw_fallback, observed 2026-05-22T16:56:49.103476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation d9f42240-97d0-4c32-9d41-693922831e3c · outbound

This paper cites Vaughan,The Hardy-Littlewood method, second ed., Cambridge Tracts in Mathematics, vol.

Near-optimal density theorems for large dilates of large point configurations Vaughan,The Hardy-Littlewood method, second ed., Cambridge Tracts in Mathematics, vol

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T16:56:49.089790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T03:21:13.625964Z digest=sha256:6216e46fa2c518b4217b2bd1e793d50d185122a89f7903599afe56098be880a7

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