Paper Citation Record · LEDGER

Abundance for uniruled pairs which are not rationally connected

As of 16 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:1908.06945.

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

pith.paper-citation-record.v1
1908.06945 v4

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:40:11.919228Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

32 of 32 outbound references displayed

verified exact5
verified fuzzy18
unresolved9
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 81e9fc36-c057-4c8a-b78d-ff728ab6c14c · outbound

This paper cites Ambro, The moduli b -divisor of an lc-trivial fibration , Compos.

Abundance for uniruled pairs which are not rationally connected Ambro, The moduli b -divisor of an lc-trivial fibration , Compos

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:40:12.167079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e309276d-5aa2-4e33-bc74-85bc04981a36 · outbound

This paper cites an unresolved cited work.

Abundance for uniruled pairs which are not rationally connected Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:40:12.160226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 27a5912c-3e49-44af-9f46-c8875b771757 · outbound

This paper cites Birkar and J.

Abundance for uniruled pairs which are not rationally connected Birkar and J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:40:12.153637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e8edff77-c5e5-43c6-81c8-268d032c9c2d · outbound

This paper cites Bauer, F.

Abundance for uniruled pairs which are not rationally connected Bauer, F

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:40:12.146652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 32d4ed65-8846-41d7-9994-cbf618609ab3 · outbound

This paper cites Boucksom, J.-P.

Abundance for uniruled pairs which are not rationally connected Boucksom, J.-P

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:40:12.139688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 726975d7-d723-46cb-b0bd-c2b1f4ae8ef4 · outbound

This paper cites Birkar, On existence of log minimal models II , J.

Abundance for uniruled pairs which are not rationally connected Birkar, On existence of log minimal models II , J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:40:12.132651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f7e0c0a6-5e2e-48cb-8f3d-0d33f0ac81b4 · outbound

This paper cites an unresolved cited work.

Abundance for uniruled pairs which are not rationally connected Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:40:12.124898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b35a12f8-48fe-4d36-98ca-b75a1b812257 · outbound

This paper cites Debarre, Higher-dimensional algebraic geometry, Universitext, Springer-Verlag, New York, 2001.

Abundance for uniruled pairs which are not rationally connected Debarre, Higher-dimensional algebraic geometry, Universitext, Springer-Verlag, New York, 2001

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:40:12.117796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 07db534f-c82e-4253-84e7-a494fd921878 · outbound

This paper cites Demailly, C.

Abundance for uniruled pairs which are not rationally connected Demailly, C

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:40:12.110082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 44144c78-3ec9-4b89-9ff2-970eb7c88aab · outbound

This paper cites Dorsch and V.

Abundance for uniruled pairs which are not rationally connected Dorsch and V

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:40:12.102673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 756dd6b0-a0c6-413b-adeb-25356651f5af · outbound

This paper cites Druel, Quelques remarques sur la d\'ecomposition de Z ariski divisorielle sur les vari\'et\'es dont la premi\`ere classe de C hern est nulle , Math.

Abundance for uniruled pairs which are not rationally connected Druel, Quelques remarques sur la d\'ecomposition de Z ariski divisorielle sur les vari\'et\'es dont la premi\`ere classe de C hern est nulle , Math

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:40:12.095348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3eefa7eb-5c90-4e7c-b7d5-90fbc20b0576 · outbound

This paper cites Fujino and Y.

Abundance for uniruled pairs which are not rationally connected Fujino and Y

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:40:12.087507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 913e14e5-b9c3-467d-9554-8b8f3fdbe363 · outbound

This paper cites Fujino, On maximal A lbanese dimensional varieties , Proc.

Abundance for uniruled pairs which are not rationally connected Fujino, On maximal A lbanese dimensional varieties , Proc

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:40:12.080011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8ed2e6cd-062c-481b-b1e4-6d18a214a158 · outbound

This paper cites Fukuda, On numerically effective log canonical divisors, Int.

Abundance for uniruled pairs which are not rationally connected Fukuda, On numerically effective log canonical divisors, Int

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-14T12:40:11.874111Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3d2b802e-9527-4201-8145-777185503727 · outbound

This paper cites Graber, J.

Abundance for uniruled pairs which are not rationally connected Graber, J

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:40:12.068576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3c1b2bf0-dce2-400d-9a55-9ff794f88814 · outbound

This paper cites Gongyo and S.-i.

Abundance for uniruled pairs which are not rationally connected Gongyo and S.-i

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:40:12.061316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 9fe41f3f-a780-4278-964f-862756fca30c · outbound

This paper cites Hashizume, Minimal model theory for relatively trivial log canonical pairs, Ann.

Abundance for uniruled pairs which are not rationally connected Hashizume, Minimal model theory for relatively trivial log canonical pairs, Ann

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:40:12.053907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6f85bfe1-7ae5-4758-a233-14e223f6ac75 · outbound

This paper cites Log Iitaka conjecture for abundant log canonical fibrations.

Abundance for uniruled pairs which are not rationally connected Log Iitaka conjecture for abundant log canonical fibrations

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:40:11.988589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 61012cf4-927a-4940-ae22-f72f09f3710d · outbound

This paper cites On minimal model theory for log abundant lc pairs.

Abundance for uniruled pairs which are not rationally connected On minimal model theory for log abundant lc pairs

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:40:11.978863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 16751a3c-8cac-4ffa-a212-00c1203a6ac0 · outbound

This paper cites Log canonical pairs over varieties with maximal Albanese dimension.

Abundance for uniruled pairs which are not rationally connected Log canonical pairs over varieties with maximal Albanese dimension

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:40:11.968510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 87c22bb4-4aae-4f9c-9b7c-9690595360ab · outbound

This paper cites an unresolved cited work.

Abundance for uniruled pairs which are not rationally connected Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-14T12:40:11.891759Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 07724f57-b8cc-43ed-affc-6ba25109b809 · outbound

This paper cites Kawamata, Pluricanonical systems on minimal algebraic varieties, Invent.

Abundance for uniruled pairs which are not rationally connected Kawamata, Pluricanonical systems on minimal algebraic varieties, Invent

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:40:12.042422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b45c1136-0eae-4d72-9ba3-051a1b168783 · outbound

This paper cites Koll \'a r and S.

Abundance for uniruled pairs which are not rationally connected Koll \'a r and S

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-14T12:40:11.896436Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2ee7a86f-e84b-4a03-bc52-3e467cc4314c · outbound

This paper cites an unresolved cited work.

Abundance for uniruled pairs which are not rationally connected Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:40:12.030691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation eeba6075-a36d-4625-8319-7e307c8fbd41 · outbound

This paper cites Koll \'a r, Rational curves on algebraic varieties, Ergebnisse der Mathematik und ihrer Grenzgebiete.

Abundance for uniruled pairs which are not rationally connected Koll \'a r, Rational curves on algebraic varieties, Ergebnisse der Mathematik und ihrer Grenzgebiete

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:40:12.022630Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b079de14-7333-47f7-8004-bd62932ea137 · outbound

This paper cites an unresolved cited work.

Abundance for uniruled pairs which are not rationally connected Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:40:12.015197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 40eed09c-6c2d-4f0b-a404-cec3aec7111e · outbound

This paper cites Lai, Varieties fibered by good minimal models, Math.

Abundance for uniruled pairs which are not rationally connected Lai, Varieties fibered by good minimal models, Math

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:40:12.007731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d913ad0e-34ba-400f-8988-9c04f30206dd · outbound

This paper cites On Nonvanishing for uniruled log canonical pairs.

Abundance for uniruled pairs which are not rationally connected On Nonvanishing for uniruled log canonical pairs

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:40:11.959029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c7bf8d97-c9bf-4230-9773-f5b62dc35259 · outbound

This paper cites Lazi\'c and Th.

Abundance for uniruled pairs which are not rationally connected Lazi\'c and Th

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:40:12.000344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f12a20b5-d30c-46eb-b1eb-1b7df5461112 · outbound

This paper cites On Generalised Abundance, I.

Abundance for uniruled pairs which are not rationally connected On Generalised Abundance, I

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:40:11.948685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 7675a553-e5ab-46b2-bc8a-93e3284a58f1 · outbound

This paper cites On the existence of minimal models for log canonical pairs.

Abundance for uniruled pairs which are not rationally connected On the existence of minimal models for log canonical pairs

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-14T12:40:11.916593Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b773d558-f63d-4093-96f5-0949d4ad315e · outbound

This paper cites Nakayama, Zariski-decomposition and abundance, MSJ Memoirs, vol.

Abundance for uniruled pairs which are not rationally connected Nakayama, Zariski-decomposition and abundance, MSJ Memoirs, vol

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-14T12:40:11.919228Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.