{"as_of":"2026-08-14T16:22:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:253cb0a2ff65a0db6df59460da0719690e27d20972b969b1f618f25e7b6acd07","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":"2026-08-14T06:32:32.682623+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":"2026-08-14T11:17:37.186227Z","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":"2026-05-24T22:30:01.358573Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1509.04561","last_updated":"2020-09-08T15:55:01Z","snapshot_observed_at":"2026-08-14T11:09:18.620375Z","submitted_at":"2015-09-15T14:02:51Z","title":"A variational approach to the Yau-Tian-Donaldson conjecture","version":3},"cited_work":{"arxiv_id":"1509.04561","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1509.04561","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Berman, S","venue":null,"work_id":"d80627c3-7a9f-408b-a9d1-81535f98b149","year":2015},"citing_paper":{"arxiv_id":"1907.05770","last_updated":"2019-07-12T14:39:58Z","snapshot_observed_at":"2026-07-06T08:07:20.787892Z","submitted_at":"2019-07-12T14:39:58Z","title":"A variational approach to the Hermitian-Einstein metrics and the Quot-scheme limit of Fubini-Study metrics","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-24T22:29:47.832219Z"},"links":{"cited_paper":"/paper/1509.04561","citing_paper":"/paper/1907.05770"},"observation_digest":"sha256:f3132cbbcccb10f4ace380315bbe501c63091d6ac619f9359ebc3dc879b90b94","observation_id":"89a185e2-c888-4c3c-ae7c-a122cdc95b2a","resolution":{"observed_at":"2026-05-24T22:30:01.361720Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1509.04561","last_updated":"2020-09-08T15:55:01Z","snapshot_observed_at":"2026-08-14T11:09:18.620375Z","submitted_at":"2015-09-15T14:02:51Z","title":"A variational approach to the Yau-Tian-Donaldson conjecture","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1509.04561","snapshot_observed_at":"2026-08-14T11:17:37.186227Z","title":"Bulletin of the London Mathematical Society, 1982, 14(1): 1-15","venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"1908.09518","last_updated":"2022-01-30T16:14:52Z","snapshot_observed_at":"2026-08-14T11:06:58.322197Z","submitted_at":"2019-08-26T08:10:15Z","title":"Relative Ding Stability and an Obstruction to the Existence of Mabuchi Solitons","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T11:17:37.186227Z"},"links":{"cited_paper":"/paper/1509.04561","citing_paper":"/paper/1908.09518"},"observation_digest":"sha256:d34cc5a7eed73126b7b219d53b49565a802672f0e3f602932c8653c9e05bf8a9","observation_id":"2fdeee98-1e57-417d-be7b-a7312d553dff","resolution":{"observed_at":"2026-08-14T11:17:37.186227Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1509.04561","last_updated":"2020-09-08T15:55:01Z","snapshot_observed_at":"2026-08-14T11:09:18.620375Z","submitted_at":"2015-09-15T14:02:51Z","title":"A variational approach to the Yau-Tian-Donaldson conjecture","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1509.04561","snapshot_observed_at":"2026-08-14T11:01:55.175207Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1908.10091","last_updated":"2019-08-27T09:08:56Z","snapshot_observed_at":"2026-08-14T10:50:47.202037Z","submitted_at":"2019-08-27T09:08:56Z","title":"Existence of Kahler-Ricci solitons on smoothable Q-Fano varities","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T11:01:55.175207Z"},"links":{"cited_paper":"/paper/1509.04561","citing_paper":"/paper/1908.10091"},"observation_digest":"sha256:7c168681609e811eb3c04c33687416ca2c76afe13696de6d80935e57007f72cb","observation_id":"57e29af8-452d-4f35-a1c6-f6c60c92d9f9","resolution":{"observed_at":"2026-08-14T11:01:55.175207Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1509.04561","last_updated":"2020-09-08T15:55:01Z","snapshot_observed_at":"2026-08-14T11:09:18.620375Z","submitted_at":"2015-09-15T14:02:51Z","title":"A variational approach to the Yau-Tian-Donaldson conjecture","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1509.04561","snapshot_observed_at":"2026-08-14T05:53:15.484787Z","title":"Berman, S","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1909.00839","last_updated":"2019-09-02T19:24:25Z","snapshot_observed_at":"2026-08-14T05:32:10.622960Z","submitted_at":"2019-09-02T19:24:25Z","title":"The metric geometry of singularity types","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-14T05:53:15.484787Z"},"links":{"cited_paper":"/paper/1509.04561","citing_paper":"/paper/1909.00839"},"observation_digest":"sha256:89050e000463218074a0a8a34c900619c7b7a73af302ab91204f32571fafd499","observation_id":"1cf39d18-0a70-40d3-9677-3d308a12fd64","resolution":{"observed_at":"2026-08-14T05:53:15.484787Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1509.04561","last_updated":"2020-09-08T15:55:01Z","snapshot_observed_at":"2026-08-14T11:09:18.620375Z","submitted_at":"2015-09-15T14:02:51Z","title":"A variational approach to the Yau-Tian-Donaldson conjecture","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1509.04561","snapshot_observed_at":"2026-08-14T05:05:57.929923Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1909.02452","last_updated":"2020-01-17T02:46:14Z","snapshot_observed_at":"2026-08-14T04:47:35.352910Z","submitted_at":"2019-09-05T14:35:59Z","title":"The K\\\"ahler-Ricci flow and quantitative bounds for Donaldson-Futaki invariants of optimal degenerations","version":3},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-14T05:05:57.929923Z"},"links":{"cited_paper":"/paper/1509.04561","citing_paper":"/paper/1909.02452"},"observation_digest":"sha256:19dfbdadcf6cdbd11bfcec825d7463cdfb8f994951460cc147e6b4a89ae7ec79","observation_id":"39db5e13-610a-4214-8647-affee9487aa2","resolution":{"observed_at":"2026-08-14T05:05:57.929923Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1509.04561/citation-record","integrity":"/paper/1509.04561/integrity","json":"/paper/1509.04561/citation-record.json","paper":"/paper/1509.04561"},"outbound":[],"paper":{"arxiv_id":"1509.04561","last_updated":"2020-09-08T15:55:01Z","latest_version":3,"primary_category":"math.DG","snapshot_observed_at":"2026-08-14T11:09:18.620375Z","submitted_at":"2015-09-15T14:02:51Z","title":"A variational approach to the Yau-Tian-Donaldson conjecture"},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:1509.04561."}