Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T23:03:53.459772Z
Paper Citation Record · LEDGER
Minimal log discrepancies on a fixed threefold
As of 12 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 2 inbound Pith citation observations for arXiv:2412.03006.
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 2026-05-12T04:51:34.305356Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-12T05:51:26.510360Z
Reference resolution
28 of 28 outbound references displayed
- verified exact1
- verified fuzzy17
- unresolved10
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 95c249fc-9258-4979-a738-c1a7f9a653ba · outbound
This paper cites de Fernex, L.
Minimal log discrepancies on a fixed threefold de Fernex, L
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T23:03:53.730685Z
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 cd5ec723-3c1c-4c3e-8f63-aa6da8eecb99 · outbound
This paper cites de Fernex, L.
Minimal log discrepancies on a fixed threefold de Fernex, L
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T23:03:53.722125Z
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 04a517f3-d0bd-459e-a11f-d688ad816a58 · outbound
This paper cites an unresolved cited work.
Minimal log discrepancies on a fixed threefold Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T23:03:53.713739Z
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 b1df634c-5db0-4c97-8843-e08a4a182b25 · outbound
This paper cites Han and J.
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T23:03:53.705339Z
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 39a3c420-486d-48f2-89f8-947997f604f9 · outbound
This paper cites ACC for minimal log discrepancies of terminal threefolds.
Minimal log discrepancies on a fixed threefold ACC for minimal log discrepancies of terminal threefolds
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T23:03:53.390264Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9f238a31-55b3-4bf9-9ed3-07518771e497 · outbound
This paper cites Kawakita.
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T23:03:53.697226Z
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 d3369f0f-1eb0-44a5-a5ec-d4a9035112cd · outbound
This paper cites Kawakita.
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T23:03:53.689576Z
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 5f0f6039-0bb3-4da8-b76e-61993503da79 · outbound
This paper cites Kawakita.
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T23:03:53.681888Z
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 d004f21f-93eb-49f9-ab31-1060062f2918 · outbound
This paper cites Kawakita.
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T23:03:53.673551Z
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 bee81a08-8d4d-4b64-84df-2264f5bdf57b · outbound
This paper cites Kawakita.
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T23:03:53.665242Z
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 6c7388a0-11ee-40d5-87ca-0196c34eb266 · outbound
This paper cites Kawakita.
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T23:03:53.656650Z
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 5d5e8229-9715-4f95-861a-dbe69845176f · outbound
This paper cites Kawakita.
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T23:03:53.648178Z
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 8b466c75-7ba9-481b-8165-074cbf51cfa0 · outbound
This paper cites Minimal log discrepancies on smooth threefolds.
Minimal log discrepancies on a fixed threefold Minimal log discrepancies on smooth threefolds
Reference 13
- Resolution
- verified exact
- local_arxiv, observed 2026-08-11T23:03:53.507917Z
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 47b93d7c-ffb0-4937-89d6-a5caaac71027 · outbound
This paper cites Kawamata.
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T23:03:53.639732Z
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 09f78545-31e8-4565-b3ef-1d7e91953097 · outbound
This paper cites Kawamata.
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T23:03:53.631037Z
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 6a871247-8834-49a2-8b87-04495725f07d · outbound
This paper cites Kawamata.
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T23:03:53.622656Z
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 d3347997-59d3-4eff-b1cb-1a881e9e8da4 · outbound
This paper cites Koll´ ar, ed.Flips and abundance for algebraic threefolds.
Minimal log discrepancies on a fixed threefold Koll´ ar, ed.Flips and abundance for algebraic threefolds
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T23:03:53.613519Z
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 aa0a5372-7464-4bfa-8f8b-436c592359fe · outbound
This paper cites Which powers of holomorphic functions are integrable?.
Minimal log discrepancies on a fixed threefold Which powers of holomorphic functions are integrable?
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T23:03:53.428673Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 770a907c-dc29-46d0-866e-f517bd8e092c · outbound
This paper cites Koll´ ar and S.
Minimal log discrepancies on a fixed threefold Koll´ ar and S
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T23:03:53.604644Z
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 16976931-3c50-4615-a629-12665a7337b0 · outbound
This paper cites Second largest accumulation point of minimal log discrepancies of threefolds.
Minimal log discrepancies on a fixed threefold Second largest accumulation point of minimal log discrepancies of threefolds
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T23:03:53.434975Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5ba0def9-242c-44cb-93b5-6d54a5c0f798 · outbound
This paper cites Lyu and T.
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T23:03:53.595961Z
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 21a8427a-9cf4-4cf4-b11e-9175c53b52ff · outbound
This paper cites an unresolved cited work.
Minimal log discrepancies on a fixed threefold Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T23:03:53.586107Z
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 a43a5080-3f55-4f7d-9e7f-491658e2f0a2 · outbound
This paper cites an unresolved cited work.
Minimal log discrepancies on a fixed threefold Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T23:03:53.577707Z
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 cbb88489-e85d-4fc7-9b7d-bc9d0d083a47 · outbound
This paper cites Murayama.
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T23:03:53.568396Z
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 4d1f8ea8-0645-4f67-b1cc-c25c699dafa8 · outbound
This paper cites an unresolved cited work.
Minimal log discrepancies on a fixed threefold Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T23:03:53.558444Z
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 627abad1-80e8-449a-a9b4-649c207e511b · outbound
This paper cites an unresolved cited work.
Minimal log discrepancies on a fixed threefold Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T23:03:53.548202Z
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 01674ada-e911-4f48-bead-72dcb22bd69a · outbound
This paper cites an unresolved cited work.
Minimal log discrepancies on a fixed threefold Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T23:03:53.537741Z
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 1edd5596-7170-4e39-9b3b-101341b484ae · outbound
This paper cites an unresolved cited work.
Minimal log discrepancies on a fixed threefold Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T23:03:53.527064Z
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.
Pith citing papers
Observation f5b4e6cf-36aa-495a-8423-8d0665174ab5 · inbound
The minimal volume of stable surfaces of rank one cites this paper.
The minimal volume of stable surfaces of rank one Minimal log discrepancies on a fixed threefold
Reference 46
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T21:06:14.921635Z
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 ef65713e-7707-4ef6-b31a-db8853b61a37 · inbound
The minimal volume of stable surfaces of rank one cites this paper.
The minimal volume of stable surfaces of rank one Minimal log discrepancies on a fixed threefold
Reference 49
- Resolution
- verified exact
- arxiv_id, observed 2026-05-12T05:51:26.512928Z
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.