Paper Citation Record · LEDGER

From weighted paraboloid restriction to $k$-stars and distance graphs

As of 8 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 1 inbound Pith citation observation for arXiv:2607.10574.

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

pith.paper-citation-record.v1
2607.10574 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-14T10:43:46.127616Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T10:16:13.571490Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

31 of 31 outbound references displayed

verified exact7
verified fuzzy0
unresolved24
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 27143d19-5282-4abc-9e5c-38b776f08de7 · outbound

This paper cites an unresolved cited work.

From weighted paraboloid restriction to $k$-stars and distance graphs Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-14T10:43:46.127616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2e5891d8-c75c-4008-ab99-7010086b5d05 · outbound

This paper cites 2603.01954 , archivePrefix=.

From weighted paraboloid restriction to $k$-stars and distance graphs 2603.01954 , archivePrefix=

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-14T10:43:46.127616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4637b9f4-fcc5-45ae-8245-fd3eec27b62c · outbound

This paper cites an unresolved cited work.

From weighted paraboloid restriction to $k$-stars and distance graphs Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-14T10:43:46.127616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a9264e44-9296-4ebb-923c-54cab8239019 · outbound

This paper cites New improvement to Falconer distance set problem in higher dimensions.

From weighted paraboloid restriction to $k$-stars and distance graphs New improvement to Falconer distance set problem in higher dimensions

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-14T10:43:46.127616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cba8c552-41d9-4fce-9b2e-972634c0b161 · outbound

This paper cites Weighted refined decoupling estimates and application to Falconer distance set problem.

From weighted paraboloid restriction to $k$-stars and distance graphs Weighted refined decoupling estimates and application to Falconer distance set problem

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-14T10:43:46.127616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4cbfbdae-2760-47d4-a027-5b83058e9cbe · outbound

This paper cites an unresolved cited work.

From weighted paraboloid restriction to $k$-stars and distance graphs Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-14T10:43:46.127616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 817a9063-e85b-4ec1-8c88-0477d832e5fe · outbound

This paper cites Recent advances in harmonic analysis and applications , SERIES =.

From weighted paraboloid restriction to $k$-stars and distance graphs Recent advances in harmonic analysis and applications , SERIES =

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-14T10:43:46.127616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f265d45a-1524-4288-a2a3-ebec0036bc3d · outbound

This paper cites an unresolved cited work.

From weighted paraboloid restriction to $k$-stars and distance graphs Unresolved cited work

Reference 8

Resolution: verified exact; doi, observed 2026-07-14T10:50:25.090086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e1c4aa43-3e11-411b-b550-111f22837fe6 · outbound

This paper cites an unresolved cited work.

From weighted paraboloid restriction to $k$-stars and distance graphs Unresolved cited work

Reference 9

Resolution: verified exact; doi, observed 2026-07-14T10:50:25.085668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation dd2243e0-1fec-40b4-ad4e-974cf87c7044 · outbound

This paper cites Indiana Univ.

From weighted paraboloid restriction to $k$-stars and distance graphs Indiana Univ

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-14T10:43:46.127616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d179b272-6a87-4d0b-9815-8dc0b137bd22 · outbound

This paper cites an unresolved cited work.

From weighted paraboloid restriction to $k$-stars and distance graphs Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-14T10:43:46.127616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8f906edb-40da-47cd-9d77-2963bf0e2e3c · outbound

This paper cites an unresolved cited work.

From weighted paraboloid restriction to $k$-stars and distance graphs Unresolved cited work

Reference 12

Resolution: verified exact; doi, observed 2026-07-14T10:50:25.051468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ef4530a4-b34b-4697-aada-9891d6e635b6 · outbound

This paper cites 2015 , PAGES =.

From weighted paraboloid restriction to $k$-stars and distance graphs 2015 , PAGES =

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-14T10:43:46.127616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c16ffb44-78e4-43b8-b720-8fd6f1099c79 · outbound

This paper cites Duke Math.

From weighted paraboloid restriction to $k$-stars and distance graphs Duke Math

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-14T10:43:46.127616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2344a94d-c586-439b-844e-27f739504108 · outbound

This paper cites an unresolved cited work.

From weighted paraboloid restriction to $k$-stars and distance graphs Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-14T10:43:46.127616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4804d486-568c-4b7a-8f81-1925aee8610d · outbound

This paper cites an unresolved cited work.

From weighted paraboloid restriction to $k$-stars and distance graphs Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-14T10:43:46.127616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cebce865-1a1b-4b60-a262-a8249af2a73f · outbound

This paper cites A singular variant of the Falconer distance problem.

From weighted paraboloid restriction to $k$-stars and distance graphs A singular variant of the Falconer distance problem

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-14T10:43:46.127616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 78f3fb1b-cda8-470b-ac01-65fdf5e2a114 · outbound

This paper cites 2020 , eprint=.

From weighted paraboloid restriction to $k$-stars and distance graphs 2020 , eprint=

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-14T10:43:46.127616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 54b12294-b5a7-4ed4-9d97-09fde8861008 · outbound

This paper cites an unresolved cited work.

From weighted paraboloid restriction to $k$-stars and distance graphs Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-14T10:43:46.127616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 155b3185-6d44-4dec-a131-5c7e224704f9 · outbound

This paper cites an unresolved cited work.

From weighted paraboloid restriction to $k$-stars and distance graphs Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-14T10:43:46.127616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 95acf878-763e-4571-b3fe-9546f774e2ad · outbound

This paper cites 2026 , eprint=.

From weighted paraboloid restriction to $k$-stars and distance graphs 2026 , eprint=

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-14T10:43:46.127616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aceccf9c-1b77-4438-b183-74d019d266ac · outbound

This paper cites Burak , TITLE =.

From weighted paraboloid restriction to $k$-stars and distance graphs Burak , TITLE =

Reference 22

Resolution: verified exact; arxiv_id, observed 2026-07-14T10:50:25.066410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6bf159ce-8d99-4240-a7f3-b20f79032b1d · outbound

This paper cites Internat.

From weighted paraboloid restriction to $k$-stars and distance graphs Internat

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-14T10:43:46.127616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9adc4607-4bf0-4042-bcd6-4203a72b9960 · outbound

This paper cites an unresolved cited work.

From weighted paraboloid restriction to $k$-stars and distance graphs Unresolved cited work

Reference 24

Resolution: verified exact; doi, observed 2026-07-14T10:50:25.072796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7cc82499-7694-41d6-b6f5-99911e98f5cc · outbound

This paper cites an unresolved cited work.

From weighted paraboloid restriction to $k$-stars and distance graphs Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-07-14T10:43:46.127616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 797c340d-d68e-4996-8a77-4561d1899379 · outbound

This paper cites 2023 , eprint=.

From weighted paraboloid restriction to $k$-stars and distance graphs 2023 , eprint=

Reference 26

Resolution: unresolved; no resolver link, observed 2026-07-14T10:43:46.127616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9c07e036-7c8c-48c4-90ef-92bd775d47d7 · outbound

This paper cites Israel J.

From weighted paraboloid restriction to $k$-stars and distance graphs Israel J

Reference 27

Resolution: unresolved; no resolver link, observed 2026-07-14T10:43:46.127616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 58261f20-ca16-44d3-9815-7f5d758d1502 · outbound

This paper cites an unresolved cited work.

From weighted paraboloid restriction to $k$-stars and distance graphs Unresolved cited work

Reference 28

Resolution: verified exact; doi, observed 2026-07-14T10:50:25.099104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 923dcbee-9869-4e9b-946f-f03ae14a3f7e · outbound

This paper cites an unresolved cited work.

From weighted paraboloid restriction to $k$-stars and distance graphs Unresolved cited work

Reference 29

Resolution: verified exact; doi, observed 2026-07-14T10:50:25.105762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 78db9d64-83e6-4cb5-a728-94e1545a396e · outbound

This paper cites an unresolved cited work.

From weighted paraboloid restriction to $k$-stars and distance graphs Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-07-14T10:43:46.127616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 39437659-8971-43dd-ade4-8f746cf6bf35 · outbound

This paper cites 2026 , eprint=.

From weighted paraboloid restriction to $k$-stars and distance graphs 2026 , eprint=

Reference 31

Resolution: unresolved; no resolver link, observed 2026-07-14T10:43:46.127616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 339b209c-c7db-4464-b3cc-0045ac8aafda · inbound

Pinned nonempty interior and volumes of simplices cites this paper.

Pinned nonempty interior and volumes of simplices From weighted paraboloid restriction to $k$-stars and distance graphs

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T10:16:13.571490Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.