Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T04:33:07.316799Z
Paper Citation Record · LEDGER
The fractional Helly number for separable convexity spaces
As of 21 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 1 inbound Pith citation observation for arXiv:2412.01445.
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 2026-08-21T06:32:19.484+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-10T22:09:37.472201Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-10T22:09:37.583510Z
Reference resolution
21 of 21 outbound references displayed
- verified exact0
- verified fuzzy9
- unresolved12
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation c630d765-8068-45bf-b1ff-e50391cc47aa · outbound
This paper cites an unresolved cited work.
The fractional Helly number for separable convexity spaces Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T04:33:07.647655Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 7d81e0a9-2df7-4b31-889e-44fefba11f92 · outbound
This paper cites Alon and D.
The fractional Helly number for separable convexity spaces Alon and D
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:33:07.634301Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation e1fc9691-e63b-4fdd-b32b-7ef14b7eb909 · outbound
This paper cites an unresolved cited work.
The fractional Helly number for separable convexity spaces Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T04:33:07.621562Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 0ea0f19f-e135-485b-98b3-e5d5846fe79c · outbound
This paper cites an unresolved cited work.
The fractional Helly number for separable convexity spaces Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T04:33:07.607993Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation ecb8605f-bc7b-44bc-afdc-41b660958c4c · outbound
This paper cites Bárány and G.
The fractional Helly number for separable convexity spaces Bárány and G
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:33:07.595982Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 7eac5fa7-f7a5-41d6-9a65-a23acc6e4f88 · outbound
This paper cites Bárány and J.
The fractional Helly number for separable convexity spaces Bárány and J
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:33:07.583139Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 4f9832e4-1218-4f5a-9f60-fa183f8277f1 · outbound
This paper cites an unresolved cited work.
The fractional Helly number for separable convexity spaces Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T04:33:07.567912Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation bb64aa7c-6cd5-4dbf-9d9d-a11557c6a78f · outbound
This paper cites an unresolved cited work.
The fractional Helly number for separable convexity spaces Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T04:33:07.553285Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 60337c97-d13d-4470-aa6b-7f7152a90358 · outbound
This paper cites an unresolved cited work.
The fractional Helly number for separable convexity spaces Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T04:33:07.537163Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation b1dc30c3-9b55-4f47-b45f-c097dfe1d364 · outbound
This paper cites Erd˝os and M.
The fractional Helly number for separable convexity spaces Erd˝os and M
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:33:07.522994Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 93d822b2-47d8-46e4-927c-c68dd18e7f18 · outbound
This paper cites an unresolved cited work.
The fractional Helly number for separable convexity spaces Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T04:33:07.506164Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 20bdeb4c-a642-4b5b-8b6d-d8c9d0184929 · outbound
This paper cites an unresolved cited work.
The fractional Helly number for separable convexity spaces Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T04:33:07.489587Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 0754a002-8241-49ef-be09-b0d48e5d6b07 · outbound
This paper cites an unresolved cited work.
The fractional Helly number for separable convexity spaces Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T04:33:07.475169Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 1856532d-e736-4733-b612-cc71dfdb0443 · outbound
This paper cites Katchalski and A.
The fractional Helly number for separable convexity spaces Katchalski and A
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:33:07.460402Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 2b55c958-db23-4849-b9a8-ac44e5d58d42 · outbound
This paper cites an unresolved cited work.
The fractional Helly number for separable convexity spaces Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T04:33:07.445403Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 60cd9702-b410-4ba0-bdd6-847ea9c91f05 · outbound
This paper cites Martinez-Legaz and I.
The fractional Helly number for separable convexity spaces Martinez-Legaz and I
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:33:07.432040Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 38775694-4c13-4e4d-897e-0e9178b1b692 · outbound
This paper cites Matoušek.
The fractional Helly number for separable convexity spaces Matoušek
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:33:07.416081Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 95c4f4da-aefc-4f7a-8f02-5d589c216aa9 · outbound
This paper cites Matoušek.
The fractional Helly number for separable convexity spaces Matoušek
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:33:07.398034Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 8007b4ae-0ee4-4c03-bc09-cf5374d43870 · outbound
This paper cites Moran and A.
The fractional Helly number for separable convexity spaces Moran and A
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:33:07.382927Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f1056d88-2855-4891-9c44-77e34102cbcd · outbound
This paper cites an unresolved cited work.
The fractional Helly number for separable convexity spaces Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T04:33:07.368569Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 7f1b74c6-fa3a-4314-80e8-f8bbba0b25f6 · outbound
This paper cites an unresolved cited work.
The fractional Helly number for separable convexity spaces Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T04:33:07.354501Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Pith citing papers
Observation 8d09f7d4-a7ac-4714-88d1-eb7d7de075af · inbound
Helly-type theorems for separated $d$-intervals cites this paper.
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 2026-08-21T06:32:19.484+00:00.