Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T12:36:56.129883Z
Paper Citation Record · LEDGER
Effective termination of general type MMPs in dimension at most five
As of 18 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:2509.01501.
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 2026-08-18T06:34:40.430872+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
9 of 9 outbound references displayed
- verified exact2
- verified fuzzy4
- unresolved3
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 90e7186c-7ba3-4073-a216-9d46138b0838 · outbound
This paper cites an unresolved cited work.
Effective termination of general type MMPs in dimension at most five Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T12:36:57.371263Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 6b4a9b1d-0dc6-403d-aa4b-8a5bd567fdb0 · outbound
This paper cites Shokurov, Letters of a bi-rationalist.
Effective termination of general type MMPs in dimension at most five Shokurov, Letters of a bi-rationalist
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:36:56.576199Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 07057625-4184-42a8-a763-a054020cb4e1 · outbound
This paper cites Termination of 4-fold canonical flips.
Effective termination of general type MMPs in dimension at most five Termination of 4-fold canonical flips
Reference 257
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:36:57.112771Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation e2612dce-a94a-443b-beb0-62c8fbeb860a · outbound
This paper cites an unresolved cited work.
Effective termination of general type MMPs in dimension at most five Unresolved cited work
Reference 468
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T12:36:57.232514Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b55f7106-d689-49b3-9bbf-242343ba14f7 · outbound
This paper cites 211 (1992).
Effective termination of general type MMPs in dimension at most five 211 (1992)
Reference 1992
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:36:56.699564Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 06133a21-5218-445d-9968-a72c46a2e071 · outbound
This paper cites an unresolved cited work.
Effective termination of general type MMPs in dimension at most five Unresolved cited work
Reference 1998
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T12:36:56.972555Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation e35f99ef-d0b7-4c6f-9ccf-99570bc37d3a · outbound
This paper cites On the strong Sarkisov program.
Effective termination of general type MMPs in dimension at most five On the strong Sarkisov program
Reference 2007
- Resolution
- verified exact
- local_arxiv, observed 2026-08-05T12:36:56.430331Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 25b329ed-1ad0-4de9-b63f-77a1ec2c2f20 · outbound
This paper cites [Kol21] J´ anos Koll´ ar,Relative MMP without Q-factoriality, Electron.
Effective termination of general type MMPs in dimension at most five [Kol21] J´ anos Koll´ ar,Relative MMP without Q-factoriality, Electron
Reference 2013
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:36:56.829063Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 25d32a0a-c87b-485f-85ea-646385ba0da5 · outbound
This paper cites Boundedness in general type MMP.
Effective termination of general type MMPs in dimension at most five Boundedness in general type MMP
Reference 2025
- Resolution
- verified exact
- local_arxiv, observed 2026-08-05T12:36:56.282118Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Pith citing papers
No inbound Pith citation observations are available.