Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-03T07:57:37.856927Z
Paper Citation Record · LEDGER
Strong invariants and Tverberg numbers in convexity spaces
As of 8 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2607.29403.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
24 of 24 outbound references displayed
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External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 87a22473-a5d8-4c9d-8e4e-f921ec9e45f6 · outbound
This paper cites The Helly number of Hamming balls and related problems.
Strong invariants and Tverberg numbers in convexity spaces The Helly number of Hamming balls and related problems
Reference 1
- Resolution
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- no resolver link, observed 2026-08-03T07:57:37.027740Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5c93cfe3-b358-4c11-9176-decebd5aaef4 · outbound
This paper cites Extended VC-dimension, and radon and tverberg type theorems for unions of convex sets.arXiv preprint arXiv:2506.17777, 2025.
Strong invariants and Tverberg numbers in convexity spaces Extended VC-dimension, and radon and tverberg type theorems for unions of convex sets.arXiv preprint arXiv:2506.17777, 2025
Reference 2
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fec0355e-a7c8-4715-922f-0e51ecf789ef · outbound
This paper cites Vapnik-chervonenkis density in some theories without the independence prop- erty, i.Transactions of the American Mathematical Society, 368(8):5889–5949, 2016.
Strong invariants and Tverberg numbers in convexity spaces Vapnik-chervonenkis density in some theories without the independence prop- erty, i.Transactions of the American Mathematical Society, 368(8):5889–5949, 2016
Reference 3
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ebbdef44-6b14-4c33-804a-b1391e809494 · outbound
This paper cites A generalization of Carathéodory’s theorem.Discrete Mathematics, 40(2- 3):141–152, 1982.
Strong invariants and Tverberg numbers in convexity spaces A generalization of Carathéodory’s theorem.Discrete Mathematics, 40(2- 3):141–152, 1982
Reference 4
- Resolution
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- no resolver link, observed 2026-08-03T07:57:37.256003Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c676fd85-4388-4e5f-8685-247339b2a59f · outbound
This paper cites Helly-type problems.Bulletin of the American Mathematical Society, 59(4):471–502, 2022.
Strong invariants and Tverberg numbers in convexity spaces Helly-type problems.Bulletin of the American Mathematical Society, 59(4):471–502, 2022
Reference 5
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- no resolver link, observed 2026-08-03T07:57:37.344022Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2bb26b89-89a3-4a3c-b130-419a9e9c54b2 · outbound
This paper cites Radon partitions in convexity spaces.
Strong invariants and Tverberg numbers in convexity spaces Radon partitions in convexity spaces
Reference 6
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- no resolver link, observed 2026-08-03T07:57:37.413918Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a8dcb38a-4420-416d-92db-fc442208be7a · outbound
This paper cites Some elementary properties of interval convexities.Journal of the London Mathematical Society, 2(3):422–428, 1971.
Strong invariants and Tverberg numbers in convexity spaces Some elementary properties of interval convexities.Journal of the London Mathematical Society, 2(3):422–428, 1971
Reference 7
- Resolution
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- no resolver link, observed 2026-08-03T07:57:37.506000Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 03e0a1bb-1083-4764-9186-70e2b96c4e44 · outbound
This paper cites Separation axiomS3 for geodesic convexity in graphs, 2024.
Strong invariants and Tverberg numbers in convexity spaces Separation axiomS3 for geodesic convexity in graphs, 2024
Reference 8
- Resolution
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- no resolver link, observed 2026-08-03T07:57:37.569923Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 55861ace-1bbe-466e-ac29-8375aa0dac6b · outbound
This paper cites Combinatorial properties of nonarchimedean convex sets.Pacific Journal of Mathematics, 323(1):1–30, 2023.
Strong invariants and Tverberg numbers in convexity spaces Combinatorial properties of nonarchimedean convex sets.Pacific Journal of Mathematics, 323(1):1–30, 2023
Reference 9
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation db4347dc-aa1d-489a-80a7-a26c3dc0102b · outbound
This paper cites De Loera, Reuben N.
Strong invariants and Tverberg numbers in convexity spaces De Loera, Reuben N
Reference 10
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a8b5ceb5-cc52-4485-95e0-161d870a83bd · outbound
This paper cites A Helly type theorem for hypersurfaces.Journal of Com- binatorial Theory, Series A, 45(1):27–30, 1987.
Strong invariants and Tverberg numbers in convexity spaces A Helly type theorem for hypersurfaces.Journal of Com- binatorial Theory, Series A, 45(1):27–30, 1987
Reference 11
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- no resolver link, observed 2026-08-03T07:57:37.708490Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2666f50d-3942-4317-a62a-3896bb013949 · outbound
This paper cites Radon’s theorem revisited.
Strong invariants and Tverberg numbers in convexity spaces Radon’s theorem revisited
Reference 12
- Resolution
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- no resolver link, observed 2026-08-03T07:57:37.770674Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3e917a67-e901-4bc2-a327-1e4f407efbfa · outbound
This paper cites A partition theorem of tverberg-type for boxes inR3.Discrete Mathematics, 241(1-3):267–288, 2001.
Strong invariants and Tverberg numbers in convexity spaces A partition theorem of tverberg-type for boxes inR3.Discrete Mathematics, 241(1-3):267–288, 2001
Reference 13
- Resolution
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- no resolver link, observed 2026-08-03T07:57:37.824919Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c359d18b-f488-42c5-be74-67a2472b14ed · outbound
This paper cites Helly-type theorems for monotone properties of boxes.
Strong invariants and Tverberg numbers in convexity spaces Helly-type theorems for monotone properties of boxes
Reference 14
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation da4cff0b-114c-4b44-b697-311548ae9d03 · outbound
This paper cites Online optimisation in convexity spaces.
Strong invariants and Tverberg numbers in convexity spaces Online optimisation in convexity spaces
Reference 15
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e9104082-b1cf-4ee2-a0ac-35796886cdff · outbound
This paper cites Helly type problems in convexity spaces.
Strong invariants and Tverberg numbers in convexity spaces Helly type problems in convexity spaces
Reference 16
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d180dac2-de55-4fa1-ae3b-4525f749a98c · outbound
This paper cites Partition numbers for trees and ordered sets.Pacific Journal of Mathe- matics, 96(1):115–140, 1981.
Strong invariants and Tverberg numbers in convexity spaces Partition numbers for trees and ordered sets.Pacific Journal of Mathe- matics, 96(1):115–140, 1981
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T07:57:37.836912Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 72fba714-486f-4d84-8f3e-7525870f59dc · outbound
This paper cites A Colorful Extension of VC-dimension and Geometric Applications.
Strong invariants and Tverberg numbers in convexity spaces A Colorful Extension of VC-dimension and Geometric Applications
Reference 18
- Resolution
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- no resolver link, observed 2026-08-03T07:57:37.839781Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b76d2a8c-0796-4183-ad00-14d8534eb3d5 · outbound
This paper cites On Helly’s theorem and the axioms of convexity.J.
Strong invariants and Tverberg numbers in convexity spaces On Helly’s theorem and the axioms of convexity.J
Reference 19
- Resolution
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- no resolver link, observed 2026-08-03T07:57:37.842748Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1c728f6f-0519-4429-be6f-a20ad4b5530b · outbound
This paper cites Radon numbers grow linearly.Discrete & Computational Geometry, 68(1):165–171, 2022.
Strong invariants and Tverberg numbers in convexity spaces Radon numbers grow linearly.Discrete & Computational Geometry, 68(1):165–171, 2022
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T07:57:37.845463Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bec8be7e-f1d8-43a1-aeeb-49bfed251cff · outbound
This paper cites Colorful Helly via induced matchings.
Strong invariants and Tverberg numbers in convexity spaces Colorful Helly via induced matchings
Reference 21
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- no resolver link, observed 2026-08-03T07:57:37.848244Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 66e9750f-f91c-4aa1-9c2c-b0f34e654a27 · outbound
This paper cites Helly-type theorems for separated $d$-intervals.
Strong invariants and Tverberg numbers in convexity spaces Helly-type theorems for separated $d$-intervals
Reference 22
- Resolution
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- no resolver link, observed 2026-08-03T07:57:37.851412Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8c39a49b-a659-48cb-9e93-4dd1f6666a58 · outbound
This paper cites A generalization of Radon’s theorem.Journal of the London Mathematical Society, 1(1):123–128, 1966.
Strong invariants and Tverberg numbers in convexity spaces A generalization of Radon’s theorem.Journal of the London Mathematical Society, 1(1):123–128, 1966
Reference 23
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- no resolver link, observed 2026-08-03T07:57:37.854271Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2197f87d-c90b-4ebc-99e9-3ace7cb20a08 · outbound
This paper cites Elsevier, 1993.
Strong invariants and Tverberg numbers in convexity spaces Elsevier, 1993
Reference 24
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- no resolver link, observed 2026-08-03T07:57:37.856927Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.