Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T22:09:37.527940Z
Paper Citation Record · LEDGER
Helly-type theorems for separated $d$-intervals
As of 12 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 1 inbound Pith citation observation for arXiv:2501.03207.
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 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-03T07:57:37.851412Z
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
31 of 31 outbound references displayed
- verified exact4
- verified fuzzy21
- unresolved6
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation bb8e7261-70ca-4c3f-8a28-d11f5c67385d · outbound
This paper cites Piercing convex sets and the H adwiger- D ebrunner (p, q) -problem.
Helly-type theorems for separated $d$-intervals Piercing convex sets and the H adwiger- D ebrunner (p, q) -problem
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T22:09:37.370666Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 873735d5-df2f-4d10-b725-8776a0c66f7e · outbound
This paper cites Transversal numbers for hypergraphs arising in geometry.
Helly-type theorems for separated $d$-intervals Transversal numbers for hypergraphs arising in geometry
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:09:38.169443Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 43768cbc-46c0-422d-87f4-90dfb452b0a7 · outbound
This paper cites A generalization of C arath \'e odory's theorem.
Helly-type theorems for separated $d$-intervals A generalization of C arath \'e odory's theorem
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:09:38.153419Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 052443a9-ec26-4c6d-a70e-f6f0a5907762 · outbound
This paper cites Combinatorial convexity , volume 77.
Helly-type theorems for separated $d$-intervals Combinatorial convexity , volume 77
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:09:38.017881Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c83fe138-8dd1-421c-88b7-c68bd840dd64 · outbound
This paper cites Colourful and fractional (p, q) -theorems.
Helly-type theorems for separated $d$-intervals Colourful and fractional (p, q) -theorems
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T22:09:37.393398Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9b9939cb-0f9b-422f-813d-6327c9ebb307 · outbound
This paper cites Optimal bounds for the colorful fractional H elly theorem.
Helly-type theorems for separated $d$-intervals Optimal bounds for the colorful fractional H elly theorem
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:09:37.990000Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 96dfa114-bdba-439d-9591-b46962d00943 · outbound
This paper cites Helly-type problems.
Helly-type theorems for separated $d$-intervals Helly-type problems
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T22:09:37.404799Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7fe30ffe-7828-4862-9c68-f1bd14db1407 · outbound
This paper cites A fractional H elly theorem for convex lattice sets.
Helly-type theorems for separated $d$-intervals A fractional H elly theorem for convex lattice sets
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:09:37.964437Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation de1d52d8-19d4-4665-862e-65531ebf6ee2 · outbound
This paper cites o rner, Ji r \' Matou s ek, and G \.
Helly-type theorems for separated $d$-intervals o rner, Ji r \' Matou s ek, and G \
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:09:37.948567Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a7aad91c-eacd-434b-bf1b-070f527aef34 · outbound
This paper cites Stabbing boxes with finitely many axis-parallel lines and flats.
Helly-type theorems for separated $d$-intervals Stabbing boxes with finitely many axis-parallel lines and flats
Reference 10
- Resolution
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- no resolver link, observed 2026-08-10T22:09:37.419441Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 20cf15fa-a39e-4358-8e2f-49a72c055d0f · outbound
This paper cites Convexity in cristallographical lattices.
Helly-type theorems for separated $d$-intervals Convexity in cristallographical lattices
Reference 11
- Resolution
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- raw_fallback, observed 2026-08-10T22:09:37.922017Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a50de0c7-0d94-4b9f-b449-59845c2045e8 · outbound
This paper cites The partition conjecture.
Helly-type theorems for separated $d$-intervals The partition conjecture
Reference 12
- Resolution
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- raw_fallback, observed 2026-08-10T22:09:37.903172Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4dd2fa64-8e84-4885-9d6f-9264132d0ac8 · outbound
This paper cites Supersaturated graphs and hypergraphs.
Helly-type theorems for separated $d$-intervals Supersaturated graphs and hypergraphs
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:09:37.886068Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8404f796-d723-423a-a64c-34dc5fc64d3a · outbound
This paper cites Extensions of discrete Helly theorems for boxes.
Helly-type theorems for separated $d$-intervals Extensions of discrete Helly theorems for boxes
Reference 14
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T22:09:37.657247Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 74c87210-c9a2-4842-855a-3533fc7dca10 · outbound
This paper cites Helly-type theorems for monotone properties of boxes.
Helly-type theorems for separated $d$-intervals Helly-type theorems for monotone properties of boxes
Reference 15
- Resolution
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- local_arxiv, observed 2026-08-10T22:09:37.635941Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 123d0dfd-460f-4406-8e0c-63a6a04378cc · outbound
This paper cites Colorful coverings of polytopes and piercing numbers of colorful d -intervals.
Helly-type theorems for separated $d$-intervals Colorful coverings of polytopes and piercing numbers of colorful d -intervals
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:09:37.869029Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0495e412-227e-4c2b-9023-ad397e1b3fff · outbound
This paper cites Discrete and lexicographic H elly-type theorems.
Helly-type theorems for separated $d$-intervals Discrete and lexicographic H elly-type theorems
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:09:37.852470Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ee97ea73-1801-4048-8e91-b7a9b87efc33 · outbound
This paper cites U ber M engen konvexer K \.
Helly-type theorems for separated $d$-intervals U ber M engen konvexer K \
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:09:37.835464Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation fb97919a-8b04-45b6-99a0-a46de8701ac4 · outbound
This paper cites Helly type problems in convexity spaces.
Helly-type theorems for separated $d$-intervals Helly type problems in convexity spaces
Reference 19
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T22:09:37.613455Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8d09f7d4-a7ac-4714-88d1-eb7d7de075af · outbound
This paper cites The fractional Helly number for separable convexity spaces.
Helly-type theorems for separated $d$-intervals The fractional Helly number for separable convexity spaces
Reference 20
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T22:09:37.590631Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c5628811-bac3-42e5-8c1b-b1bba4369aca · outbound
This paper cites Transversals of d -intervals.
Helly-type theorems for separated $d$-intervals Transversals of d -intervals
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:09:37.816984Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 5221f2ff-4a90-4151-a39f-cbf0700d95fc · outbound
This paper cites A problem of geometry in R ^n.
Helly-type theorems for separated $d$-intervals A problem of geometry in R ^n
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T22:09:37.483020Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation de038f9e-1770-49c7-a599-0a12c4785d2c · outbound
This paper cites Matroid colorings of KKM covers.
Helly-type theorems for separated $d$-intervals Matroid colorings of KKM covers
Reference 23
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T22:09:37.487566Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 653462a3-da2d-4a4e-a2e8-a73f6c0b338a · outbound
This paper cites A sparse colorful polytopal kkm theorem.
Helly-type theorems for separated $d$-intervals A sparse colorful polytopal kkm theorem
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:09:37.788608Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2318b237-63a4-4302-871b-cb434e834450 · outbound
This paper cites On the geometry and computational complexity of R adon partitions in the iinteger lattice.
Helly-type theorems for separated $d$-intervals On the geometry and computational complexity of R adon partitions in the iinteger lattice
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:09:37.772499Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 509fac89-4de9-498d-ab0b-25c343e283b7 · outbound
This paper cites Mengen konvexer K \"o rper, die einen gemeinsamen P unkt enthalten.
Helly-type theorems for separated $d$-intervals Mengen konvexer K \"o rper, die einen gemeinsamen P unkt enthalten
Reference 26
- Resolution
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- raw_fallback, observed 2026-08-10T22:09:37.755336Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 10db1ea2-c657-4c8f-b88d-1e1ffac59560 · outbound
This paper cites Relationships between C arath \'e odory, H elly, R adon and exchange numbers of convexity spaces.
Helly-type theorems for separated $d$-intervals Relationships between C arath \'e odory, H elly, R adon and exchange numbers of convexity spaces
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:09:37.737908Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 5469df93-90d4-4ae9-a6fd-13cadbe48132 · outbound
This paper cites Intersection patterns of convex sets via simplicial complexes: a survey.
Helly-type theorems for separated $d$-intervals Intersection patterns of convex sets via simplicial complexes: a survey
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:09:37.722505Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation dd4cd8da-8df3-49f2-954a-e71d97f06743 · outbound
This paper cites Transversals of 2 -intervals, a topological approach.
Helly-type theorems for separated $d$-intervals Transversals of 2 -intervals, a topological approach
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:09:37.706011Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation bf73a913-f629-46b7-b4b5-a497a5a1e2f0 · outbound
This paper cites Theory of convex structures , volume 50.
Helly-type theorems for separated $d$-intervals Theory of convex structures , volume 50
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:09:37.689133Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0b17033f-a0bc-40d4-999a-38037ac2a4c4 · outbound
This paper cites d - C ollapsing and nerves of families of convex sets.
Helly-type theorems for separated $d$-intervals d - C ollapsing and nerves of families of convex sets
Reference 31
- Resolution
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- raw_fallback, observed 2026-08-10T22:09:37.673276Z
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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Pith citing papers
Observation 66e9750f-f91c-4aa1-9c2c-b0f34e654a27 · inbound
Strong invariants and Tverberg numbers in convexity spaces cites this paper.
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.