Paper Citation Record · LEDGER

A klt generalized pair with infinitely generated canonical ring

As of 20 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2608.03258.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2608.03258 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T22:37:27.005910Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

20 of 20 outbound references displayed

verified exact1
verified fuzzy13
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 47cc31dd-898f-48f1-a935-5607e902b5d5 · outbound

This paper cites an unresolved cited work.

A klt generalized pair with infinitely generated canonical ring Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-05T22:37:25.595032Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fb80cb77-52dc-4dca-9611-c84d3e626f46 · outbound

This paper cites Birkar, P.

A klt generalized pair with infinitely generated canonical ring Birkar, P

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-05T22:37:25.622500Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 621c120e-dc47-44c3-a097-761734bb2356 · outbound

This paper cites an unresolved cited work.

A klt generalized pair with infinitely generated canonical ring Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-05T22:37:29.378635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e39d25c5-a869-4925-9637-7ab8e5396cad · outbound

This paper cites Birkar and D.-Q.

A klt generalized pair with infinitely generated canonical ring Birkar and D.-Q

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:37:29.207090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 403e02f4-4574-42d1-96a6-286eb60b22f7 · outbound

This paper cites Brion, Anti-affine algebraic groups, J.

A klt generalized pair with infinitely generated canonical ring Brion, Anti-affine algebraic groups, J

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:37:29.052179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 69e900d1-ca6f-4ebc-87a5-4c6ab1dae22e · outbound

This paper cites Demailly, T.

A klt generalized pair with infinitely generated canonical ring Demailly, T

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:37:28.912548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f2cccb0b-d468-4f0f-aeb0-9efac4b128ae · outbound

This paper cites Gongyo, Research summary, in Annual Report 2023, Graduate School of Mathematical Sciences, The University of Tokyo, May 2024, p.

A klt generalized pair with infinitely generated canonical ring Gongyo, Research summary, in Annual Report 2023, Graduate School of Mathematical Sciences, The University of Tokyo, May 2024, p

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:37:28.804049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation aef9cc58-7913-4727-822a-5fe58693b763 · outbound

This paper cites Gongyo and S.

A klt generalized pair with infinitely generated canonical ring Gongyo and S

Reference 8

Resolution: verified exact; raw_fallback, observed 2026-08-05T22:37:27.258749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e3571ea6-08a6-4fc9-aaf5-2e41837feb9b · outbound

This paper cites Hartshorne, Algebraic geometry, Graduate Texts in Mathematics 52, Springer-Verlag, New York-Heidelberg, 1977.

A klt generalized pair with infinitely generated canonical ring Hartshorne, Algebraic geometry, Graduate Texts in Mathematics 52, Springer-Verlag, New York-Heidelberg, 1977

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:37:28.684967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 77dbeac4-0f3d-4211-be99-e9054015fe65 · outbound

This paper cites Automated Conjecture Resolution with Formal Verification.

A klt generalized pair with infinitely generated canonical ring Automated Conjecture Resolution with Formal Verification

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-05T22:37:26.262076Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d3f9a8fb-e571-4c27-b7d5-64c8c02b892c · outbound

This paper cites Koll\'ar and S.

A klt generalized pair with infinitely generated canonical ring Koll\'ar and S

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:37:28.565394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0aa2d0b5-8398-45c2-9bdc-6367d9dc8201 · outbound

This paper cites Lazarsfeld, Positivity in algebraic geometry I, II, Ergebnisse der Mathematik und ihrer Grenzgebiete 48, 49, Springer-Verlag, Berlin, 2004.

A klt generalized pair with infinitely generated canonical ring Lazarsfeld, Positivity in algebraic geometry I, II, Ergebnisse der Mathematik und ihrer Grenzgebiete 48, 49, Springer-Verlag, Berlin, 2004

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:37:28.445323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ecd5d651-50b9-475d-b312-f066496eab28 · outbound

This paper cites Danus: Orchestrating Mathematical Reasoning Agents with Fact-Graph Memory.

A klt generalized pair with infinitely generated canonical ring Danus: Orchestrating Mathematical Reasoning Agents with Fact-Graph Memory

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-05T22:37:26.515884Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 678a127a-d5bd-4921-9503-22052a92d778 · outbound

This paper cites Liu and L.

A klt generalized pair with infinitely generated canonical ring Liu and L

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:37:28.324809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a8e45b4a-7477-4bd4-acb3-f7cf7e4d2568 · outbound

This paper cites Mukai, Counterexample to Hilbert's fourteenth problem for the 3-dimensional additive group, RIMS Preprint 1343, Kyoto University, 2001.

A klt generalized pair with infinitely generated canonical ring Mukai, Counterexample to Hilbert's fourteenth problem for the 3-dimensional additive group, RIMS Preprint 1343, Kyoto University, 2001

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:37:28.208196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0df19369-328e-4beb-973d-e420a2d1218a · outbound

This paper cites Nagata, On the 14 -th problem of Hilbert, Amer.

A klt generalized pair with infinitely generated canonical ring Nagata, On the 14 -th problem of Hilbert, Amer

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:37:28.004124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 393a34f9-a392-4b4a-90d9-ec33851a4889 · outbound

This paper cites Rosenlicht, Some basic theorems on algebraic groups, Amer.

A klt generalized pair with infinitely generated canonical ring Rosenlicht, Some basic theorems on algebraic groups, Amer

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:37:27.833399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7ec5eaae-8354-4b05-9b88-7f045ed79b2c · outbound

This paper cites Serre, Espaces fibr\'es alg\'ebriques, S\'eminaire C.

A klt generalized pair with infinitely generated canonical ring Serre, Espaces fibr\'es alg\'ebriques, S\'eminaire C

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:37:27.723220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6350d6b6-3ac9-4a2d-9429-d00dd70414f3 · outbound

This paper cites an unresolved cited work.

A klt generalized pair with infinitely generated canonical ring Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-05T22:37:27.586206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d464ae67-7c57-40c1-81e4-64f0c5608266 · outbound

This paper cites Totaro, Hilbert's fourteenth problem over finite fields, and a conjecture on the cone of curves, Compos.

A klt generalized pair with infinitely generated canonical ring Totaro, Hilbert's fourteenth problem over finite fields, and a conjecture on the cone of curves, Compos

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:37:27.352484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

No inbound Pith citation observations are available.