{"as_of":"2026-08-10T20:03:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:fc7d63ce8bad98b5fdec313404a098d88d94d7a530cbe7ab693ce4c434f92f54","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":5,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":5,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+00:00","state":"measured"},{"denominator":5,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T23:45:49.022173Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-03T03:37:35.818043Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2003.14379","last_updated":"2021-02-15T09:34:29Z","snapshot_observed_at":"2026-08-10T14:20:27.737346Z","submitted_at":"2020-03-31T17:24:56Z","title":"Log abundance of the moduli b-divisors of lc-trivial fibrations","version":3},"cited_work":{"arxiv_id":"2003.14379","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2003.14379","snapshot_observed_at":"2026-07-03T03:37:35.818043Z","title":"Hu, Log abundance of the moduli b-divisors of lc-trivial fibrations, arXiv:2003.14379 0= 2020","venue":null,"work_id":"e891658f-753f-4c91-ad8a-746e09eff068","year":2020},"citing_paper":{"arxiv_id":"2305.01752","last_updated":"2025-11-25T22:17:39Z","snapshot_observed_at":"2026-08-07T23:11:07.805079Z","submitted_at":"2023-05-02T19:36:48Z","title":"Nakayama-Zariski decomposition and the termination of flips","version":4},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-05-24T09:04:43.379009Z"},"links":{"cited_paper":"/paper/2003.14379","citing_paper":"/paper/2305.01752"},"observation_digest":"sha256:7289d3f79a4a2f220d14792599cc559e1c0010e55e7e91376c927a9babb4d0bc","observation_id":"541523b0-d794-425a-b0c6-c8f6f0386d54","resolution":{"observed_at":"2026-05-24T09:06:06.556016Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2003.14379","last_updated":"2021-02-15T09:34:29Z","snapshot_observed_at":"2026-08-10T14:20:27.737346Z","submitted_at":"2020-03-31T17:24:56Z","title":"Log abundance of the moduli b-divisors of lc-trivial fibrations","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2003.14379","snapshot_observed_at":"2026-08-05T23:45:49.022173Z","title":"Hu, Log abundance of the moduli b-divisors for lc-trivial fibrations, arXiv: 2003.14379v3","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2508.05082","last_updated":"2025-08-07T07:05:53Z","snapshot_observed_at":"2026-08-05T23:45:47.833646Z","submitted_at":"2025-08-07T07:05:53Z","title":"Discreteness of volumes of divisors on Calabi-Yau type varieties","version":1},"reference_index":80,"source":"arxiv_source","source_observed_at":"2026-08-05T23:45:49.022173Z"},"links":{"cited_paper":"/paper/2003.14379","citing_paper":"/paper/2508.05082"},"observation_digest":"sha256:dd2fe1fba9e28cd572c3d0dd5ff1493301b885b16f0810dc5c4d5b01ec93c48d","observation_id":"e93eae87-3345-4bc2-8854-977c9d3ff103","resolution":{"observed_at":"2026-08-05T23:45:49.022173Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2003.14379","last_updated":"2021-02-15T09:34:29Z","snapshot_observed_at":"2026-08-10T14:20:27.737346Z","submitted_at":"2020-03-31T17:24:56Z","title":"Log abundance of the moduli b-divisors of lc-trivial fibrations","version":3},"cited_work":{"arxiv_id":"2003.14379","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2003.14379","snapshot_observed_at":"2026-07-03T03:37:35.818043Z","title":"Hu, Log abundance of the moduli b-divisors of lc-trivial fibrations, arXiv:2003.14379 0= 2020","venue":null,"work_id":"e891658f-753f-4c91-ad8a-746e09eff068","year":2020},"citing_paper":{"arxiv_id":"2605.09898","last_updated":"2026-05-11T02:39:18Z","snapshot_observed_at":"2026-07-06T23:21:54.140120Z","submitted_at":"2026-05-11T02:39:18Z","title":"Quasi-Projective Moduli for Polarized klt Good Minimal Models","version":1},"reference_index":154,"source":"arxiv_source","source_observed_at":"2026-05-12T04:23:23.572792Z"},"links":{"cited_paper":"/paper/2003.14379","citing_paper":"/paper/2605.09898"},"observation_digest":"sha256:43aa98483e8dd26bb8fa9cb86f9251f67503dc97e1bc38e07a7a23dc455a55b7","observation_id":"7bf99ce8-6d1d-4f7d-ad68-51c318a25986","resolution":{"observed_at":"2026-05-12T06:21:24.902377Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2003.14379","last_updated":"2021-02-15T09:34:29Z","snapshot_observed_at":"2026-08-10T14:20:27.737346Z","submitted_at":"2020-03-31T17:24:56Z","title":"Log abundance of the moduli b-divisors of lc-trivial fibrations","version":3},"cited_work":{"arxiv_id":"2003.14379","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2003.14379","snapshot_observed_at":"2026-07-03T03:37:35.818043Z","title":"Hu, Log abundance of the moduli b-divisors of lc-trivial fibrations, arXiv:2003.14379 0= 2020","venue":null,"work_id":"e891658f-753f-4c91-ad8a-746e09eff068","year":2020},"citing_paper":{"arxiv_id":"2606.09087","last_updated":"2026-06-08T06:33:56Z","snapshot_observed_at":"2026-07-30T13:28:15.332051Z","submitted_at":"2026-06-08T06:33:56Z","title":"On the minimal model theory for generalized pairs of relative log numerical dimension zero","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-06-27T15:02:34.585098Z"},"links":{"cited_paper":"/paper/2003.14379","citing_paper":"/paper/2606.09087"},"observation_digest":"sha256:f72a53c169f4fe3a4749577a8c380b6e9cd06a477b3a6a68d27fb2d2dbd39e87","observation_id":"8470051c-eb4d-403d-87ca-add0f31aee91","resolution":{"observed_at":"2026-07-03T03:37:35.819827Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2003.14379","last_updated":"2021-02-15T09:34:29Z","snapshot_observed_at":"2026-08-10T14:20:27.737346Z","submitted_at":"2020-03-31T17:24:56Z","title":"Log abundance of the moduli b-divisors of lc-trivial fibrations","version":3},"cited_work":{"arxiv_id":"2003.14379","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2003.14379","snapshot_observed_at":"2026-07-03T03:37:35.818043Z","title":"Hu, Log abundance of the moduli b-divisors of lc-trivial fibrations, arXiv:2003.14379 0= 2020","venue":null,"work_id":"e891658f-753f-4c91-ad8a-746e09eff068","year":2020},"citing_paper":{"arxiv_id":"2606.30983","last_updated":"2026-06-29T23:43:58Z","snapshot_observed_at":"2026-08-02T15:28:33.799768Z","submitted_at":"2026-06-29T23:43:58Z","title":"Addendum: On generalized canonical bundle formula and boundedness of complements in complex analytic setting","version":1},"reference_index":108,"source":"arxiv_source","source_observed_at":"2026-07-01T00:53:06.184698Z"},"links":{"cited_paper":"/paper/2003.14379","citing_paper":"/paper/2606.30983"},"observation_digest":"sha256:8fd67d95725e8500090fe3a1d9c5fdf4743361099f07dbe447dcf4ea27fc4779","observation_id":"ba8507f5-ac54-495f-b50c-6aec44901fba","resolution":{"observed_at":"2026-07-01T00:55:11.639143Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2003.14379/citation-record","integrity":"/paper/2003.14379/integrity","json":"/paper/2003.14379/citation-record.json","paper":"/paper/2003.14379"},"outbound":[],"paper":{"arxiv_id":"2003.14379","last_updated":"2021-02-15T09:34:29Z","latest_version":3,"primary_category":"math.AG","snapshot_observed_at":"2026-08-10T14:20:27.737346Z","submitted_at":"2020-03-31T17:24:56Z","title":"Log abundance of the moduli b-divisors of lc-trivial fibrations"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2003.14379."}