{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:BR5D3UVTBEAPQ555FWVJJRO5KM","short_pith_number":"pith:BR5D3UVT","schema_version":"1.0","canonical_sha256":"0c7a3dd2b30900f877bd2daa94c5dd5304a0daf4203ffa50153205c9fef9f285","source":{"kind":"arxiv","id":"1807.04847","version":3},"attestation_state":"computed","paper":{"title":"On a generalized canonical bundle formula and generalized adjunction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Stefano Filipazzi","submitted_at":"2018-07-12T22:26:57Z","abstract_excerpt":"In this note, we extend the theories of the canonical bundle formula and adjunction to the case of generalized pairs. As an application, we study a particular case of a conjecture by Prokhorov and Shokurov."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1807.04847","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-07-12T22:26:57Z","cross_cats_sorted":[],"title_canon_sha256":"982c8bb145f898dfa5d8f776cac77eb775279934b74b5c92503a8bb32608db9d","abstract_canon_sha256":"7dc0e4d0a787bef7ba6f62afedf6f5b478a3c4541b68a3f0608e3fefcd779cae"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:04:57.675064Z","signature_b64":"nhk6WtkT/IKq7ud0aaytyJWTb9HcFfEFFd54oWWU8ly63icwS/moj/bdPwHnc3taxi9DSRAo6x3YhNwpMP7CBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0c7a3dd2b30900f877bd2daa94c5dd5304a0daf4203ffa50153205c9fef9f285","last_reissued_at":"2026-07-05T03:04:57.674651Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:04:57.674651Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On a generalized canonical bundle formula and generalized adjunction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Stefano Filipazzi","submitted_at":"2018-07-12T22:26:57Z","abstract_excerpt":"In this note, we extend the theories of the canonical bundle formula and adjunction to the case of generalized pairs. As an application, we study a particular case of a conjecture by Prokhorov and Shokurov."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.04847","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1807.04847/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1807.04847","created_at":"2026-07-05T03:04:57.674704+00:00"},{"alias_kind":"arxiv_version","alias_value":"1807.04847v3","created_at":"2026-07-05T03:04:57.674704+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.04847","created_at":"2026-07-05T03:04:57.674704+00:00"},{"alias_kind":"pith_short_12","alias_value":"BR5D3UVTBEAP","created_at":"2026-07-05T03:04:57.674704+00:00"},{"alias_kind":"pith_short_16","alias_value":"BR5D3UVTBEAPQ555","created_at":"2026-07-05T03:04:57.674704+00:00"},{"alias_kind":"pith_short_8","alias_value":"BR5D3UVT","created_at":"2026-07-05T03:04:57.674704+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2508.05082","citing_title":"Discreteness of volumes of divisors on Calabi-Yau type varieties","ref_index":30,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BR5D3UVTBEAPQ555FWVJJRO5KM","json":"https://pith.science/pith/BR5D3UVTBEAPQ555FWVJJRO5KM.json","graph_json":"https://pith.science/api/pith-number/BR5D3UVTBEAPQ555FWVJJRO5KM/graph.json","events_json":"https://pith.science/api/pith-number/BR5D3UVTBEAPQ555FWVJJRO5KM/events.json","paper":"https://pith.science/paper/BR5D3UVT"},"agent_actions":{"view_html":"https://pith.science/pith/BR5D3UVTBEAPQ555FWVJJRO5KM","download_json":"https://pith.science/pith/BR5D3UVTBEAPQ555FWVJJRO5KM.json","view_paper":"https://pith.science/paper/BR5D3UVT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1807.04847&json=true","fetch_graph":"https://pith.science/api/pith-number/BR5D3UVTBEAPQ555FWVJJRO5KM/graph.json","fetch_events":"https://pith.science/api/pith-number/BR5D3UVTBEAPQ555FWVJJRO5KM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BR5D3UVTBEAPQ555FWVJJRO5KM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BR5D3UVTBEAPQ555FWVJJRO5KM/action/storage_attestation","attest_author":"https://pith.science/pith/BR5D3UVTBEAPQ555FWVJJRO5KM/action/author_attestation","sign_citation":"https://pith.science/pith/BR5D3UVTBEAPQ555FWVJJRO5KM/action/citation_signature","submit_replication":"https://pith.science/pith/BR5D3UVTBEAPQ555FWVJJRO5KM/action/replication_record"}},"created_at":"2026-07-05T03:04:57.674704+00:00","updated_at":"2026-07-05T03:04:57.674704+00:00"}