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Paper Citation Record · LEDGER

On minimal model program and Zariski decomposition of potential triples

As of 21 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 1 inbound Pith citation observation 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 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:12:01.240106Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T20:12:01.379539Z

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-09T17:56:36.111565Z digest=sha256:cdf117e1ea410ac983c8a0b68734f0924473083b583a0013d165ddb0e83c7bb3

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-09T17:56:36.115752Z digest=sha256:86eaf00965e87d0f824c296d40acef949e7b865bf26410c17dfb980a524eae4b

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-09T17:56:36.119717Z digest=sha256:9c827c080357dbe48a81451342a5ec36ccdc9971c44d842fc69589cfad508c7a

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=sha256:85e42055051669dc9d0fa8520cd1dcf8853b8e024848ee4482d87ab7817ee947

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-09T17:56:36.127949Z digest=sha256:ba9ddeb32d02e37cf3767bb123031b31ae7cd97d27ebdad637b92a00d72d8f80

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:dbac1ae3d364b472cc20291952f52259d2d309eb9a206296c1b2ce5fc1a40bff

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=sha256:393b9351a46896ed9174c017a6e0b2869eca0921daed627e82caaf6290ac086b

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-09T17:56:36.139409Z digest=sha256:ccf386ee559702e10df76e9fcce5aa9d3c051ac0a5bab5fd70d8df18539a91b0

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-09T17:56:36.142907Z digest=sha256:79236c0426e9f707e97d1c3ff0dad8f57fdd9e4da6e22a7481aacc3e54e08226

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-09T17:56:36.146244Z digest=sha256:da09d2e5b6984446b9675cf33bc5d7df89295722d80b4ba08a779b998ae5db81

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-09T17:56:36.149622Z digest=sha256:3bde7b8dfa81c6cf9f582c043fc1928a9a4329380ce1fc32ddcb2a8ba3cf93b1

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-09T17:56:36.152987Z digest=sha256:d616be226e2883a3d289748f4e0f6bb7f2b1cfd511f3080a54071dad694673f0

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-09T17:56:36.156860Z digest=sha256:003279e30c7a58c11c738b2eebe790482855c2782d23620473de5f10fd81a4af

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-09T17:56:36.160344Z digest=sha256:4e5d14c1a9e8714a3377a28cad200932eb94239dece3ccc7623e7e834a82ffe4

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-09T17:56:36.163681Z digest=sha256:8e2cc05a88e0c70a65945d687a322bd212df4b7537c2a61982b026ad29c63c3f

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-09T17:56:36.166962Z digest=sha256:4efaf28b0b2ce7c754b5d41ce4bea7f7c436de0f91cad4b73e919a7a561d6853

Pith citing papers

Observation 8aad931a-fa85-431e-8b37-1edb2ecc2375 · inbound

A valuative approach to the anticanonical minimal model program cites this paper.

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-15T20:12:01.240106Z digest=sha256:2212feadf1aaead96b0b2574025439e2156ade74904aff2a80ad4253f1051b18