Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-01T16:32:04.124336Z
Paper Citation Record · LEDGER
Supersaturation in union-closed families of sets
As of 14 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2607.26425.
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 2026-08-14T06:32:32.682623+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
12 of 12 outbound references displayed
- verified exact0
- verified fuzzy0
- unresolved12
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 283bc802-cbc9-45af-850e-d12a48172701 · outbound
This paper cites Balogh and A.Z.
Supersaturation in union-closed families of sets Balogh and A.Z
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T16:32:04.095417Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c8d98618-17b4-4e79-9fd5-f9ffb7c6ccbf · outbound
This paper cites Bouchard,An upper bound for union-closed family size, preprint (2025), arXiv:2511.10608.
Supersaturation in union-closed families of sets Bouchard,An upper bound for union-closed family size, preprint (2025), arXiv:2511.10608
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T16:32:04.098618Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d72d8d02-d491-45e9-85d8-5902b89aa05b · outbound
This paper cites Bruhn and O.
Supersaturation in union-closed families of sets Bruhn and O
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T16:32:04.101134Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 36bf30b8-15fd-4166-a856-393f3f80b191 · outbound
This paper cites an unresolved cited work.
Supersaturation in union-closed families of sets Unresolved cited work
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T16:32:04.103678Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4c7f510e-eae7-45ec-9f7c-ae6c71c08a6a · outbound
This paper cites Dove, J.R.
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T16:32:04.106304Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2d628661-3d48-4aa9-9821-0e77298858f7 · outbound
This paper cites Erd˝ os,On a lemma of Littlewood and Offord, Bull.
Supersaturation in union-closed families of sets Erd˝ os,On a lemma of Littlewood and Offord, Bull
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T16:32:04.109140Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation aca7debe-cde4-47b0-87ce-a1b9f6092f62 · outbound
This paper cites Falgas-Ravry,Minimal weight in union-closed families, Electron.
Supersaturation in union-closed families of sets Falgas-Ravry,Minimal weight in union-closed families, Electron
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T16:32:04.112196Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1a0f8063-794e-4da7-b667-4c129809d303 · outbound
This paper cites A constant lower bound for the union-closed sets conjecture.
Supersaturation in union-closed families of sets A constant lower bound for the union-closed sets conjecture
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T16:32:04.114572Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b1c64ce0-fa3e-4405-aacb-588ff3906cee · outbound
This paper cites Kleitman,A conjecture of Erd˝ os-Katona on commensurable pairs among subsets of an n-set (Theory of Graphs: Proc.
Supersaturation in union-closed families of sets Kleitman,A conjecture of Erd˝ os-Katona on commensurable pairs among subsets of an n-set (Theory of Graphs: Proc
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T16:32:04.117418Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a30e8b82-bd66-48db-ba49-a286cea16506 · outbound
This paper cites Reimer,An average set size theorem, Combin.
Supersaturation in union-closed families of sets Reimer,An average set size theorem, Combin
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T16:32:04.119761Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b4e6e384-b5b0-4853-b472-861be83c0460 · outbound
This paper cites Samotij,Subsets of posets minimising the number of chains, Trans.
Supersaturation in union-closed families of sets Samotij,Subsets of posets minimising the number of chains, Trans
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T16:32:04.122096Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 39901268-e40b-46d0-9ca9-b2905452ed87 · outbound
This paper cites Sperner,Ein Satz ¨ uber Untermengen einer endlichen Menge, Math.
Supersaturation in union-closed families of sets Sperner,Ein Satz ¨ uber Untermengen einer endlichen Menge, Math
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T16:32:04.124336Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.