Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T20:12:01.338782Z
Paper Citation Record · LEDGER
A valuative approach to the anticanonical minimal model program
As of 18 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 3 inbound Pith citation observations for arXiv:2506.13637.
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, observed 2026-05-21T00:41:11.343210Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-21T00:43:53.604543Z
Reference resolution
38 of 38 outbound references displayed
- verified exact1
- verified fuzzy29
- unresolved8
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation b9f422d0-77af-4bd5-9210-9bee146a5597 · outbound
This paper cites Birkar, Anti-pluricanonical systems on F ano varieties , Ann.
A valuative approach to the anticanonical minimal model program Birkar, Anti-pluricanonical systems on F ano varieties , Ann
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:12:01.890430Z
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 af958d53-1a27-4e7a-82c4-7477f3e8f067 · outbound
This paper cites Birkar, Generalised pairs in birational geometry.
A valuative approach to the anticanonical minimal model program Birkar, Generalised pairs in birational geometry
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:12:01.878849Z
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 df6f4f16-e454-4445-9f9e-e0e85cca5fe0 · outbound
This paper cites Birkar, P.
A valuative approach to the anticanonical minimal model program Birkar, P
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:12:01.866908Z
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 3a3b768a-e209-4ef5-8c3a-720e20b5d460 · outbound
This paper cites Blum, Existence of valuations with smallest normalized volume, Compos.
A valuative approach to the anticanonical minimal model program Blum, Existence of valuations with smallest normalized volume, Compos
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:12:01.855800Z
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 4b33b1ec-98d6-4d09-87fd-6ae7db2de0f1 · outbound
This paper cites Birkar, P.
A valuative approach to the anticanonical minimal model program Birkar, P
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:12:01.843666Z
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 07106af4-8afc-4b02-9fb7-056bc1594531 · outbound
This paper cites Boucksom, C.
A valuative approach to the anticanonical minimal model program Boucksom, C
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:12:01.833149Z
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 7ef4d0ef-6712-4e2c-b1de-934f2b887eec · outbound
This paper cites Blum and M.
A valuative approach to the anticanonical minimal model program Blum and M
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:12:01.822404Z
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 36dc8611-07ad-49c6-80f0-a8223c2a8360 · outbound
This paper cites Birkar and D.-Q.
A valuative approach to the anticanonical minimal model program Birkar and D.-Q
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:12:01.810666Z
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 70e29a51-704b-413e-88ec-d8aa09a86179 · outbound
This paper cites Minimal model program for algebraically integrable foliations and generalized pairs.
A valuative approach to the anticanonical minimal model program Minimal model program for algebraically integrable foliations and generalized pairs
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T20:12:01.222631Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3fb6e694-8856-4104-aab8-02957098f85e · outbound
This paper cites an unresolved cited work.
A valuative approach to the anticanonical minimal model program Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T20:12:01.799294Z
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 e25737e5-0e52-4f69-b4a8-d24be841b236 · outbound
This paper cites an unresolved cited work.
A valuative approach to the anticanonical minimal model program Unresolved cited work
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T20:12:01.230732Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d9ee26c5-36dc-4987-84d3-004affae2c5a · outbound
This paper cites Anticanonical divisor with good asymptotic base loci.
A valuative approach to the anticanonical minimal model program Anticanonical divisor with good asymptotic base loci
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T20:12:01.235065Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8aad931a-fa85-431e-8b37-1edb2ecc2375 · outbound
This paper cites On minimal model program and Zariski decomposition of potential triples.
A valuative approach to the anticanonical minimal model program On minimal model program and Zariski decomposition of potential triples
Reference 13
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T20:12:01.385399Z
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 af9a79c9-8c47-4d77-a85f-63690f236fdc · outbound
This paper cites Choi and J.
A valuative approach to the anticanonical minimal model program Choi and J
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:12:01.787701Z
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 007c7d73-7f9b-4ddb-b442-e4f2cceb19cc · outbound
This paper cites Fujino, Foundations of the minimal model program, MSJ Memoirs, vol.
A valuative approach to the anticanonical minimal model program Fujino, Foundations of the minimal model program, MSJ Memoirs, vol
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:12:01.776152Z
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 5656ce0d-9860-40b3-8058-3be1c654f3b3 · outbound
This paper cites de Fernex, L.
A valuative approach to the anticanonical minimal model program de Fernex, L
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:12:01.764825Z
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 d8ad2b88-742c-4ae7-923d-16b7d76dd107 · outbound
This paper cites de Fernex, J.
A valuative approach to the anticanonical minimal model program de Fernex, J
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:12:01.754715Z
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 72980844-7284-4a14-a08c-65c083bce0fa · outbound
This paper cites Hacon, A derived category approach to generic vanishing, J.
A valuative approach to the anticanonical minimal model program Hacon, A derived category approach to generic vanishing, J
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:12:01.744935Z
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 0f0d8362-1f01-4226-9eaf-fa1fb9c8793b · outbound
This paper cites Anticanonical minimal models and Zariski decomposition.
A valuative approach to the anticanonical minimal model program Anticanonical minimal models and Zariski decomposition
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T20:12:01.263126Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1fd4de4a-70c7-4df8-846a-31ff67efd2a9 · outbound
This paper cites Jow, Asymptotic order-of-vanishing functions on the pseudoeffective cone, Pacific J.
A valuative approach to the anticanonical minimal model program Jow, Asymptotic order-of-vanishing functions on the pseudoeffective cone, Pacific J
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:12:01.732941Z
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 b46a84cb-1539-4a99-8904-6f7cdcb5324c · outbound
This paper cites Jonsson and M.
A valuative approach to the anticanonical minimal model program Jonsson and M
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:12:01.717712Z
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 0eefccc0-2c9b-4ac2-8c0f-cf702f9697d2 · outbound
This paper cites Koll \'a r, Singularities of the minimal model program, Cambridge Tracts in Mathematics, vol.
A valuative approach to the anticanonical minimal model program Koll \'a r, Singularities of the minimal model program, Cambridge Tracts in Mathematics, vol
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:12:01.704444Z
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 32253581-e901-42b1-9e78-c73e2f55ac16 · outbound
This paper cites Koll \' a r and S.
A valuative approach to the anticanonical minimal model program Koll \' a r and S
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:12:01.692634Z
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 9f6b6a03-3442-49f6-b7c0-9f0a5b2ad73b · outbound
This paper cites an unresolved cited work.
A valuative approach to the anticanonical minimal model program Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T20:12:01.682433Z
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 abba9e09-5fdc-4899-9242-4f8a6329351d · outbound
This paper cites Lazarsfeld, Positivity in algebraic geometry.
A valuative approach to the anticanonical minimal model program Lazarsfeld, Positivity in algebraic geometry
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:12:01.670903Z
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 da4b6b9f-9ae8-418d-8e55-5f37d5d6ba14 · outbound
This paper cites Lehmann, On Eckl’s -effective reduction map, Trans.
A valuative approach to the anticanonical minimal model program Lehmann, On Eckl’s -effective reduction map, Trans
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:12:01.657797Z
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 a8bed030-0b49-41a5-ba17-1dcabc47192e · outbound
This paper cites Lehmann, Algebraic bounds on analytic multiplier ideals, Ann.
A valuative approach to the anticanonical minimal model program Lehmann, Algebraic bounds on analytic multiplier ideals, Ann
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:12:01.645592Z
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 259995cc-6911-42b7-b6d0-da6b9bf80132 · outbound
This paper cites Lazić and T.
A valuative approach to the anticanonical minimal model program Lazić and T
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:12:01.633488Z
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 f5ea845b-8397-4aff-b748-58b833bd408b · outbound
This paper cites Li and C.
A valuative approach to the anticanonical minimal model program Li and C
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:12:01.620740Z
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 2307ba7d-4e63-4b2c-bb87-b222623edc85 · outbound
This paper cites Li and C.
A valuative approach to the anticanonical minimal model program Li and C
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:12:01.610073Z
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 c9cb461a-6a59-40b5-a7d7-48722931553c · outbound
This paper cites Nakayama, (2004).
A valuative approach to the anticanonical minimal model program Nakayama, (2004)
Reference 31
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T20:12:01.310585Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2bde0b57-603d-430a-8dff-b3c3e6f81782 · outbound
This paper cites Prokhorov, Blow-ups of canonical singularities, Algebra (Moscow, 1998), 301--317, de Gruyter, Berlin, (2000).
A valuative approach to the anticanonical minimal model program Prokhorov, Blow-ups of canonical singularities, Algebra (Moscow, 1998), 301--317, de Gruyter, Berlin, (2000)
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:12:01.591410Z
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 f61a55d1-4bf1-4032-b642-e285c172c041 · outbound
This paper cites an unresolved cited work.
A valuative approach to the anticanonical minimal model program Unresolved cited work
Reference 33
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T20:12:01.578167Z
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 78bbe2c0-3a07-4fb0-a336-a237461bf9db · outbound
This paper cites Takagi, A subadditivity formula for multiplier ideals associated to log pairs, Proc.
A valuative approach to the anticanonical minimal model program Takagi, A subadditivity formula for multiplier ideals associated to log pairs, Proc
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:12:01.564816Z
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 7a516830-e5ac-4d8c-a714-e1287157c180 · outbound
This paper cites Xu, Finiteness of algebraic fundamental groups, Compos.
A valuative approach to the anticanonical minimal model program Xu, Finiteness of algebraic fundamental groups, Compos
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:12:01.552821Z
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 5d4ef499-1e3e-4624-b677-ad6369fddf94 · outbound
This paper cites Xu, A minimizing valuation is quasi-monomial, Ann.
A valuative approach to the anticanonical minimal model program Xu, A minimizing valuation is quasi-monomial, Ann
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:12:01.540411Z
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 9f792e40-e6a8-4ab9-8786-e586d215ab1e · outbound
This paper cites Xu, K-stability for varieties with a big anticanonical class, Epijournal Géom.
A valuative approach to the anticanonical minimal model program Xu, K-stability for varieties with a big anticanonical class, Epijournal Géom
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:12:01.527195Z
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 2234b683-49c2-4451-b6f3-eacdb7cb884d · outbound
This paper cites Xu, K-stability of Fano varieties, New Mathematical Monographs, vol.
A valuative approach to the anticanonical minimal model program Xu, K-stability of Fano varieties, New Mathematical Monographs, vol
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:12:01.513804Z
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
Observation fafe9317-6870-4d05-9cb1-4b0bd9f45d46 · inbound
Structure of the Anticanonical Minimal Model Program for Potentially klt Pairs cites this paper.
Structure of the Anticanonical Minimal Model Program for Potentially klt Pairs A valuative approach to the anticanonical minimal model program
Reference 2
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T22:25:53.202962Z
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 6566dac7-c4d2-407a-98ad-b8430765e6ce · inbound
On the quasi-monomiality of the $\alpha$- and $\delta$-invariants cites this paper.
On the quasi-monomiality of the $\alpha$- and $\delta$-invariants A valuative approach to the anticanonical minimal model program
Reference 9
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T12:41:01.424643Z
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 b730386c-3c17-4da4-a1a1-46c63e359a6d · inbound
On the quasi-monomiality of the $\alpha$- and $\delta$-invariants cites this paper.
On the quasi-monomiality of the $\alpha$- and $\delta$-invariants A valuative approach to the anticanonical minimal model program
Reference 9
- Resolution
- verified exact
- arxiv_id, observed 2026-05-21T00:43:53.607508Z
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.