Paper Citation Record · LEDGER

Pinned nonempty interior and volumes of simplices

As of 8 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2607.20416.

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

pith.paper-citation-record.v1
2607.20416 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T10:16:16.808144Z

measured 40 of 40 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 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

40 of 40 outbound references displayed

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unresolved40
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External citation measurements

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Outbound references

Observation 39ca4cab-d526-4a7a-9357-225a88107393 · outbound

This paper cites Borges, B.

Pinned nonempty interior and volumes of simplices Borges, B

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T10:16:13.267722Z

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Unavailable: canonical work link unavailable.

Observation b38949bd-9a2e-4525-8b0a-38be191e1793 · outbound

This paper cites Borges, B.

Pinned nonempty interior and volumes of simplices Borges, B

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T10:16:13.340713Z

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Observation a255cd59-95b4-49bc-b078-2600a99e3e4e · outbound

This paper cites On volume vectors determined by hypergraphs in thin subsets of Euclidean space.

Pinned nonempty interior and volumes of simplices On volume vectors determined by hypergraphs in thin subsets of Euclidean space

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T10:16:13.414818Z

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Observation 4d1a9c7e-a37d-4e09-85b6-a94a23993f82 · outbound

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

Pinned nonempty interior and volumes of simplices A singular variant of the Falconer distance problem

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T10:16:13.509971Z

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

This paper cites From weighted paraboloid restriction to $k$-stars and distance graphs.

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

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Observation efd10234-2861-4504-9687-358ac075921d · outbound

This paper cites Bright, C.

Pinned nonempty interior and volumes of simplices Bright, C

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T10:16:13.664637Z

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Observation 25dab518-4858-4c76-8d79-682587c35abd · outbound

This paper cites Bourgain,Hausdorff dimension and distance sets, Israel J.

Pinned nonempty interior and volumes of simplices Bourgain,Hausdorff dimension and distance sets, Israel J

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T10:16:13.722447Z

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Observation b8682ad2-78bb-442a-8cd7-07692a93a2e3 · outbound

This paper cites Di Nezza, G.

Pinned nonempty interior and volumes of simplices Di Nezza, G

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T10:16:13.793366Z

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Observation d0225b13-a8f8-4afa-a2a3-09a487779db6 · outbound

This paper cites an unresolved cited work.

Pinned nonempty interior and volumes of simplices Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T10:16:13.859870Z

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Observation 0875df94-9f75-4f0e-b12f-c250f40df62b · outbound

This paper cites an unresolved cited work.

Pinned nonempty interior and volumes of simplices Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T10:16:13.913647Z

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Observation 576ee8eb-a52f-4783-a5c2-98bfa51b9719 · outbound

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

Pinned nonempty interior and volumes of simplices New improvement to Falconer distance set problem in higher dimensions

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T10:16:14.074660Z

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Observation 42ceee94-e679-4838-a6d9-e75ca4939ce2 · outbound

This paper cites Du and R.

Pinned nonempty interior and volumes of simplices Du and R

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T10:16:14.316063Z

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Observation f76d8b00-72b4-4386-b4f8-0782f85f86d5 · outbound

This paper cites an unresolved cited work.

Pinned nonempty interior and volumes of simplices Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T10:16:14.397572Z

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Observation 9e3271f9-7658-47c2-9ed9-6a989a00761d · outbound

This paper cites an unresolved cited work.

Pinned nonempty interior and volumes of simplices Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T10:16:14.460047Z

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Observation d7ac3cab-9235-4e1a-9016-31c1836d80c9 · outbound

This paper cites Eswarathasan, A.

Pinned nonempty interior and volumes of simplices Eswarathasan, A

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T10:16:14.514893Z

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Observation b7bb407a-c9f5-41f0-b63c-1b75ffe0e03d · outbound

This paper cites an unresolved cited work.

Pinned nonempty interior and volumes of simplices Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T10:16:14.565547Z

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Observation 415f752c-f24a-4465-8c88-5e85cc2988b5 · outbound

This paper cites On volumes of simplices in intermediate dimensions.

Pinned nonempty interior and volumes of simplices On volumes of simplices in intermediate dimensions

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T10:16:14.630853Z

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Observation 777913a6-493a-4240-af0d-001af5e307c2 · outbound

This paper cites Gaitan, A.

Pinned nonempty interior and volumes of simplices Gaitan, A

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T10:16:14.733270Z

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Observation 54ba31c7-277a-47ec-92d0-dbf456257f44 · outbound

This paper cites Galo and A.

Pinned nonempty interior and volumes of simplices Galo and A

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T10:16:14.785422Z

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Observation 7201fc9f-a68f-4f3a-8ed5-03e89557ea2f · outbound

This paper cites Greenleaf, A.

Pinned nonempty interior and volumes of simplices Greenleaf, A

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T10:16:14.845843Z

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Observation 207f7fad-2748-4fe6-8ab4-d8cf658a4d84 · outbound

This paper cites Greenleaf, A.

Pinned nonempty interior and volumes of simplices Greenleaf, A

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T10:16:14.897285Z

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Observation 529d0698-ef40-43a8-95d6-afd530e5c8be · outbound

This paper cites Greenleaf, A.

Pinned nonempty interior and volumes of simplices Greenleaf, A

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T10:16:15.011345Z

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Observation ea824c99-8be1-46ab-8fa8-198c075ce6ad · outbound

This paper cites Greenleaf, A.

Pinned nonempty interior and volumes of simplices Greenleaf, A

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T10:16:15.130201Z

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Observation 7d6fe47f-1f7a-459d-b4c5-2575fac198e5 · outbound

This paper cites Greenleaf, A.

Pinned nonempty interior and volumes of simplices Greenleaf, A

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T10:16:15.188955Z

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Observation 1cc4c424-1c99-4dd2-b122-5225c787c856 · outbound

This paper cites Grafakos, A.

Pinned nonempty interior and volumes of simplices Grafakos, A

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T10:16:15.278373Z

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Observation e7e3c97b-0935-417f-a0d4-e5cf8b77b3c3 · outbound

This paper cites an unresolved cited work.

Pinned nonempty interior and volumes of simplices Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T10:16:15.392687Z

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Observation 5e879ef2-a5cd-4816-a5cc-4a7e98106864 · outbound

This paper cites Hyt¨ onen, J.

Pinned nonempty interior and volumes of simplices Hyt¨ onen, J

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T10:16:15.505370Z

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Observation 79a14571-64e2-4625-86d3-c0c44ec9779e · outbound

This paper cites Iosevich, M.

Pinned nonempty interior and volumes of simplices Iosevich, M

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-01T10:16:15.586074Z

Source-reported events for the cited work

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Observation f17e2609-98e5-472f-a1cb-d2bfa6232f08 · outbound

This paper cites Iosevich, K.

Pinned nonempty interior and volumes of simplices Iosevich, K

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-01T10:16:15.669253Z

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Unavailable: canonical work link unavailable.

Observation 48c8dc5c-186f-488c-b4c3-bb431d431171 · outbound

This paper cites Kaufman,On Hausdorff dimension of projections, Mathematika 15 (1968), 153–155.

Pinned nonempty interior and volumes of simplices Kaufman,On Hausdorff dimension of projections, Mathematika 15 (1968), 153–155

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-01T10:16:15.763426Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 495203fc-b6c0-492e-9fd7-534fe4468a43 · outbound

This paper cites Liu,AnL 2-identity and pinned distance problem, Geom.

Pinned nonempty interior and volumes of simplices Liu,AnL 2-identity and pinned distance problem, Geom

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-01T10:16:15.897042Z

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Observation cbc03142-edf9-49e8-a4d9-04e43e674ce6 · outbound

This paper cites an unresolved cited work.

Pinned nonempty interior and volumes of simplices Unresolved cited work

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-01T10:16:16.044975Z

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Unavailable: canonical work link unavailable.

Observation b1a1596e-006c-480b-b0ed-9fa317cecf66 · outbound

This paper cites Mattila,Geometry of Sets and Measures in Euclidean Spaces, Cambridge Studies in Advanced Mathe- matics 44, Cambridge University Press, 1995.

Pinned nonempty interior and volumes of simplices Mattila,Geometry of Sets and Measures in Euclidean Spaces, Cambridge Studies in Advanced Mathe- matics 44, Cambridge University Press, 1995

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-01T10:16:16.124373Z

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Observation 97508bc4-e1b9-4315-8b0c-8f30a7c0290e · outbound

This paper cites Mattila,Hausdorff dimension, orthogonal projections and intersections with planes, Ann.

Pinned nonempty interior and volumes of simplices Mattila,Hausdorff dimension, orthogonal projections and intersections with planes, Ann

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-01T10:16:16.231653Z

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Observation f3fb6539-d18f-4da5-9eca-3768e4d2c47a · outbound

This paper cites Mattila and P.

Pinned nonempty interior and volumes of simplices Mattila and P

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-01T10:16:16.355731Z

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Observation 488de6c4-b862-4025-b949-b95c74e6fdf1 · outbound

This paper cites McDonald,Areas spanned by point configurations in the plane, Proc.

Pinned nonempty interior and volumes of simplices McDonald,Areas spanned by point configurations in the plane, Proc

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-01T10:16:16.490051Z

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Observation ae98d4dc-6ccd-495f-8cfa-cd4a69217500 · outbound

This paper cites Orponen,On the dimension and smoothness of radial projections, Anal.

Pinned nonempty interior and volumes of simplices Orponen,On the dimension and smoothness of radial projections, Anal

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-01T10:16:16.542813Z

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Observation e4fce898-4cb5-4e6b-89f3-c5090680e284 · outbound

This paper cites Peres and W.

Pinned nonempty interior and volumes of simplices Peres and W

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-01T10:16:16.628043Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ed03194e-2644-4897-9c5d-84462218f6a8 · outbound

This paper cites Shmerkin and A.

Pinned nonempty interior and volumes of simplices Shmerkin and A

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-01T10:16:16.714856Z

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Unavailable: canonical work link unavailable.

Observation 7be5be64-6e73-4382-ae2d-b485f4f5ea62 · outbound

This paper cites Wolff,Decay of circular means of Fourier transforms of measures, Int.

Pinned nonempty interior and volumes of simplices Wolff,Decay of circular means of Fourier transforms of measures, Int

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-01T10:16:16.808144Z

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Pith citing papers

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