{"as_of":"2026-08-18T10:26:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:582a1a0587d5c7a77ae13916e70b8961766f9949131d739e8c584ce8b0cadfc5","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":2,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":2,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T14:59:15.139732Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-05T11:58:22.796662Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2607.11296","last_updated":"2026-07-13T09:13:20Z","snapshot_observed_at":"2026-08-14T14:53:10.823228Z","submitted_at":"2026-07-13T09:13:20Z","title":"A Numerical Criterion for the 2-Hessian Equation on Compact K\\\"ahler Manifolds","version":1},"cited_work":{"arxiv_id":"2607.11296","doi":null,"metadata_source":"pith","pith_arxiv_id":"2607.11296","snapshot_observed_at":"2026-08-05T11:58:22.796662Z","title":"A Numerical Criterion for the 2-Hessian Equation on Compact K\\\"ahler Manifolds","venue":"math.DG","work_id":"bbcbd354-d9cd-4b8e-80b6-ba37a61177f8","year":2026},"citing_paper":{"arxiv_id":"2608.03815","last_updated":"2026-08-06T14:35:14Z","snapshot_observed_at":"2026-08-15T23:20:35.035449Z","submitted_at":"2026-08-04T15:24:39Z","title":"A numerical criterion for complex Hessian type equations on projective manifolds","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-05T11:58:22.636647Z"},"links":{"cited_paper":"/paper/2607.11296","citing_paper":"/paper/2608.03815"},"observation_digest":"sha256:e9ec9b861f7e18f669f31bc0d1d504275b00b6f4acb61909c1190692df2e0204","observation_id":"21b214ab-2b27-4029-b449-8fd206ecfa4a","resolution":{"observed_at":"2026-08-05T11:58:22.800484Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2607.11296","last_updated":"2026-07-13T09:13:20Z","snapshot_observed_at":"2026-08-14T14:53:10.823228Z","submitted_at":"2026-07-13T09:13:20Z","title":"A Numerical Criterion for the 2-Hessian Equation on Compact K\\\"ahler Manifolds","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2607.11296","snapshot_observed_at":"2026-08-15T14:59:15.139732Z","title":"A Numerical Criterion for the 2-Hessian Equation on Compact K¨ ahler Manifolds.arXiv e-prints, page arXiv:2607.11296, July 2026","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.03815","last_updated":"2026-08-06T14:35:14Z","snapshot_observed_at":"2026-08-15T23:20:35.035449Z","submitted_at":"2026-08-04T15:24:39Z","title":"A numerical criterion for complex Hessian type equations on projective manifolds","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-15T14:59:15.139732Z"},"links":{"cited_paper":"/paper/2607.11296","citing_paper":"/paper/2608.03815"},"observation_digest":"sha256:bd313dec2c48d82acd16f9f24bc6406b74e76a113ae287346aa360a40b08c8c2","observation_id":"c169257c-4dac-42fe-9127-b3f07eea4c87","resolution":{"observed_at":"2026-08-15T14:59:15.139732Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2607.11296/citation-record","integrity":"/paper/2607.11296/integrity","json":"/paper/2607.11296/citation-record.json","paper":"/paper/2607.11296"},"outbound":[],"paper":{"arxiv_id":"2607.11296","last_updated":"2026-07-13T09:13:20Z","latest_version":1,"primary_category":"math.DG","snapshot_observed_at":"2026-08-14T14:53:10.823228Z","submitted_at":"2026-07-13T09:13:20Z","title":"A Numerical Criterion for the 2-Hessian Equation on Compact K\\\"ahler Manifolds"},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2607.11296."}