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Paper Citation Record · LEDGER

On minimal model program and Zariski decomposition of potential triples

As of 11 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2502.00790.

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

pith.paper-citation-record.v1
2502.00790 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T17:56:36.166962Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

16 of 16 outbound references displayed

  • verified exact2
  • verified fuzzy8
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e66793d6-7525-4210-826d-490781372a37 · outbound

This paper cites Birkar and Z.

On minimal model program and Zariski decomposition of potential triples Birkar and Z

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T17:56:36.425603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-09T17:56:36.111565Z digest=sha256:344281e1b2afa388f0b1844c7d784a95660a293c92af60d2cf576f072f7e733b

Observation 20b7a7f0-d36c-41f2-a1e0-e3848af215d0 · outbound

This paper cites Birkar, Ascending chain condition for log canonical thresholds and termination of log flips, Duke Math.

On minimal model program and Zariski decomposition of potential triples Birkar, Ascending chain condition for log canonical thresholds and termination of log flips, Duke Math

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T17:56:36.414456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-09T17:56:36.115752Z digest=sha256:5ce34872a7e9339ad3dda0c6842aeaafe0277300eac15939234640840f658c49

Observation ddf63ca9-1998-48c4-b4b2-697270ebb28d · outbound

This paper cites Cacciola and L.

On minimal model program and Zariski decomposition of potential triples Cacciola and L

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T17:56:36.403962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-09T17:56:36.119717Z digest=sha256:4d656861e0175e1090173ac0e8ffccf8b1c8fcf3c6abd011b77a425298b467ea

Observation ed5510ee-3eaa-4a6d-aecd-78011f8d1039 · outbound

This paper cites Minimal model program for algebraically integrable foliations and generalized pairs.

On minimal model program and Zariski decomposition of potential triples Minimal model program for algebraically integrable foliations and generalized pairs

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-09T17:56:36.123347Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T17:56:36.123347Z digest=sha256:870b6665f91fe65513fa5e72727ee9ddcd28593a31501dc09c53f7255d801f2c

Observation 1fed05f6-8ea9-45cd-89cd-6947ac4a37cf · outbound

This paper cites Choi and S.

On minimal model program and Zariski decomposition of potential triples Choi and S

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T17:56:36.394271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-09T17:56:36.127949Z digest=sha256:beed41892a530ed1eddf760baacb53d7d89f67218e51256bbe7c9ea2f5a215a5

Observation 5041a696-0f7d-4411-ace7-c8eeaca245d3 · outbound

This paper cites an unresolved cited work.

On minimal model program and Zariski decomposition of potential triples Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-09T17:56:36.131691Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T17:56:36.131691Z digest=sha256:9050c974686dfefd147b990770c109f7b585d4e824cf68e7a6ec0d071b6396f9

Observation 6ba975f8-ef77-4ab2-ad3d-8b8df215a506 · outbound

This paper cites Anticanonical divisor with good asymptotic base loci.

On minimal model program and Zariski decomposition of potential triples Anticanonical divisor with good asymptotic base loci

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-09T17:56:36.135523Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T17:56:36.135523Z digest=sha256:65f3f93603ff1398a0ee15eee8cf4049d9c5d5e9f5cf5fc5a165c622c1fa9bdc

Observation 1dc86727-6ede-4b32-a7ff-81775a26edf2 · outbound

This paper cites Choi and J.

On minimal model program and Zariski decomposition of potential triples Choi and J

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T17:56:36.383844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-09T17:56:36.139409Z digest=sha256:21db7a585da376e5b3d221159d18a2cfe439a7f2bfad610f9994f32e952a3969

Observation 44b76f5b-ca40-4d88-becc-c3b76fda6bcc · outbound

This paper cites an unresolved cited work.

On minimal model program and Zariski decomposition of potential triples Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-09T17:56:36.372823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-09T17:56:36.142907Z digest=sha256:dcc00943e4d0e58b88882c8b3febbf0dd326d746d61b18fbcabe2ab753d96e3a

Observation 3a0c840f-86d8-44ba-a126-416639598c5a · outbound

This paper cites an unresolved cited work.

On minimal model program and Zariski decomposition of potential triples Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-09T17:56:36.361389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-09T17:56:36.146244Z digest=sha256:91195aa15ce97b5b074e1dc7c432fd8e911e23864c4a1921fc9b2579903f3c38

Observation ff38426c-707e-4db8-b12f-2b46d3322643 · outbound

This paper cites an unresolved cited work.

On minimal model program and Zariski decomposition of potential triples Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-09T17:56:36.350678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-09T17:56:36.149622Z digest=sha256:7e4962e33c8c6eb069c1cb423a8518d5a570b3632429636d2804987e1fbc4d3c

Observation a7b4e5c3-94c0-47bf-9ad4-5fca3e90e866 · outbound

This paper cites Anticanonical minimal models and Zariski decomposition.

On minimal model program and Zariski decomposition of potential triples Anticanonical minimal models and Zariski decomposition

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-09T17:56:36.218323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-09T17:56:36.152987Z digest=sha256:eb424c525dbb49a9b686da66da70a4889fe2c040675be180bd8a2be756e63173

Observation 7736babd-a2e0-4862-ab7e-0cc946a4f7ab · outbound

This paper cites Lesieutre, The diminished base locus is not always closed, Compos.

On minimal model program and Zariski decomposition of potential triples Lesieutre, The diminished base locus is not always closed, Compos

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T17:56:36.339973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-09T17:56:36.156860Z digest=sha256:ff783589c31b68d5d15efa6caadef31d6d5f121761a27c00c48e5ae410907b34

Observation f62231c6-e780-4700-87e8-0e79381b6493 · outbound

This paper cites Nakayama, (2004).

On minimal model program and Zariski decomposition of potential triples Nakayama, (2004)

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T17:56:36.329079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-09T17:56:36.160344Z digest=sha256:1fbaea17fe55d46be2d9d917752156050cdd2ee05f2c30c01689385864c46c91

Observation acde1153-61df-4d73-8c9d-ce8e66ac9b56 · outbound

This paper cites Tsakanikas and L.

On minimal model program and Zariski decomposition of potential triples Tsakanikas and L

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T17:56:36.318293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-09T17:56:36.163681Z digest=sha256:10681e99d47bc0b768f83957a9d57f0153bb413db399d250afc3ca9971650ddc

Observation c1a65c38-3aff-42e4-8b6f-424705e36c2d · outbound

This paper cites Comparison and uniruledness of asymptotic base loci.

On minimal model program and Zariski decomposition of potential triples Comparison and uniruledness of asymptotic base loci

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-09T17:56:36.202946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-09T17:56:36.166962Z digest=sha256:1e518b6d9f7624e63105ab6ecf33f3bea104efa4f4f2890741a488bcf4d51301

Pith citing papers

No inbound Pith citation observations are available.