Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T14:42:06.730776Z
Paper Citation Record · LEDGER
Numerical characterization of the hard Lefschetz classes of dimension two, II: supercritical collections of free divisor classes
As of 17 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2505.18729.
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 2026-08-17T06:30:58.91139+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
21 of 21 outbound references displayed
- verified exact3
- verified fuzzy8
- unresolved10
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 36b95e2c-1c44-4228-a11d-788d13b57448 · outbound
This paper cites an unresolved cited work.
Numerical characterization of the hard Lefschetz classes of dimension two, II: supercritical collections of free divisor classes Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T14:42:09.201460Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 6c857217-c49c-4403-ae41-0c855bcf4a62 · outbound
This paper cites an unresolved cited work.
Numerical characterization of the hard Lefschetz classes of dimension two, II: supercritical collections of free divisor classes Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T14:42:09.058193Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation e3b0fc6c-4877-4170-af63-e093e93c6085 · outbound
This paper cites Cox, John B.
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T14:42:08.900812Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 75296eac-62e5-4050-9f4e-5815bac10f5d · outbound
This paper cites Collins and Valentino Tosatti, K\" a hler currents and null loci , Invent.
Numerical characterization of the hard Lefschetz classes of dimension two, II: supercritical collections of free divisor classes Collins and Valentino Tosatti, K\" a hler currents and null loci , Invent
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T14:42:08.745124Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 86a82e8d-12d7-42db-83b5-20711fe9b6f0 · outbound
This paper cites de Cataldo and Luca Migliorini, The hard L efschetz theorem and the topology of semismall maps , Ann.
Numerical characterization of the hard Lefschetz classes of dimension two, II: supercritical collections of free divisor classes de Cataldo and Luca Migliorini, The hard L efschetz theorem and the topology of semismall maps , Ann
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T14:42:05.605553Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e02f4bef-a3f9-4f5f-9eca-4c7c1b04d687 · outbound
This paper cites 1, International Press, Somerville, MA; Higher Education Press, Beijing, 2012.
Numerical characterization of the hard Lefschetz classes of dimension two, II: supercritical collections of free divisor classes 1, International Press, Somerville, MA; Higher Education Press, Beijing, 2012
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T14:42:08.598200Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation c84d40e8-801f-4ee9-9e76-e50cf50bdf44 · outbound
This paper cites an unresolved cited work.
Numerical characterization of the hard Lefschetz classes of dimension two, II: supercritical collections of free divisor classes Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T14:42:08.470647Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 9e7198fd-f6df-45cd-aa8b-4ae425d0c42a · outbound
This paper cites 2, 335--353.
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T14:42:08.290760Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 47288620-d07c-4be3-a3f6-456b294d7e8f · outbound
This paper cites 131, Princeton University Press, Princeton, NJ, 1993, The William H.
Numerical characterization of the hard Lefschetz classes of dimension two, II: supercritical collections of free divisor classes 131, Princeton University Press, Princeton, NJ, 1993, The William H
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T14:42:05.849471Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1f009317-e003-41d1-86b2-5224d2a29ef9 · outbound
This paper cites an unresolved cited work.
Numerical characterization of the hard Lefschetz classes of dimension two, II: supercritical collections of free divisor classes Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T14:42:08.154090Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 99c74ab7-c702-43f5-bca5-508d5245b04e · outbound
This paper cites Hard Lefschetz theorems for free line bundles.
Numerical characterization of the hard Lefschetz classes of dimension two, II: supercritical collections of free divisor classes Hard Lefschetz theorems for free line bundles
Reference 11
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T14:42:07.127806Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 4b6758d9-8a62-4f81-bc12-eb1b183ca572 · outbound
This paper cites an unresolved cited work.
Numerical characterization of the hard Lefschetz classes of dimension two, II: supercritical collections of free divisor classes Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T14:42:07.971687Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 157a6e3f-976f-4d62-8a3a-4c9bf1a7263c · outbound
This paper cites Hard Lefschetz properties, complete intersections and numerical dimensions.
Numerical characterization of the hard Lefschetz classes of dimension two, II: supercritical collections of free divisor classes Hard Lefschetz properties, complete intersections and numerical dimensions
Reference 13
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T14:42:07.005836Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 397b94a1-7466-4f1a-bfd5-991977e9b214 · outbound
This paper cites Numerical characterization of the hard Lefschetz classes of dimension two, I: supercritical collections under certain rearrangement.
Numerical characterization of the hard Lefschetz classes of dimension two, II: supercritical collections of free divisor classes Numerical characterization of the hard Lefschetz classes of dimension two, I: supercritical collections under certain rearrangement
Reference 14
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T14:42:06.855703Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 56c85510-f5c9-4dad-9642-9a092c176c9e · outbound
This paper cites I , Ergebnisse der Mathematik und ihrer Grenzgebiete.
Numerical characterization of the hard Lefschetz classes of dimension two, II: supercritical collections of free divisor classes I , Ergebnisse der Mathematik und ihrer Grenzgebiete
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T14:42:06.310299Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 90373ea9-5445-40c5-8df2-6d18ba0cd426 · outbound
This paper cites an unresolved cited work.
Numerical characterization of the hard Lefschetz classes of dimension two, II: supercritical collections of free divisor classes Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T14:42:07.839109Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation ff8a787f-638f-4e9c-b506-4cb391ae1acb · outbound
This paper cites 151, Cambridge University Press, Cambridge, 2014.
Numerical characterization of the hard Lefschetz classes of dimension two, II: supercritical collections of free divisor classes 151, Cambridge University Press, Cambridge, 2014
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T14:42:07.710002Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 387f4e98-cdf0-4329-8066-1be4f2f1898a · outbound
This paper cites Stanley, Two combinatorial applications of the A leksandrov- F enchel inequalities , J.
Numerical characterization of the hard Lefschetz classes of dimension two, II: supercritical collections of free divisor classes Stanley, Two combinatorial applications of the A leksandrov- F enchel inequalities , J
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T14:42:07.587564Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 41f2057c-af67-45ff-94bb-5a7cb5f3e489 · outbound
This paper cites an unresolved cited work.
Numerical characterization of the hard Lefschetz classes of dimension two, II: supercritical collections of free divisor classes Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T14:42:07.478700Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation a4fee3db-63b2-42ed-8ce6-771fcc5e04e1 · outbound
This paper cites New York Acad.
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T14:42:07.337217Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 3200a200-499e-411d-a90b-9ed3209d753e · outbound
This paper cites 231 (2023), no.
Numerical characterization of the hard Lefschetz classes of dimension two, II: supercritical collections of free divisor classes 231 (2023), no
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T14:42:07.236502Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Pith citing papers
No inbound Pith citation observations are available.