{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:I4GLAVI6WSSBKRVI4EFIT54OWQ","short_pith_number":"pith:I4GLAVI6","schema_version":"1.0","canonical_sha256":"470cb0551eb4a41546a8e10a89f78eb408178f023659f16493219cc82f325900","source":{"kind":"arxiv","id":"1203.2246","version":1},"attestation_state":"computed","paper":{"title":"Parametrization of rational maps on a variety of general type, and the finiteness theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Gian Pietro Pirola, Lucio Guerra","submitted_at":"2012-03-10T10:27:06Z","abstract_excerpt":"In a previous paper, we provided some update in the treatment of the finiteness theorem for rational maps of finite degree from a fixed variety to varieties of general type. In the present paper we present another improvement, introducing the natural parametrization of maps by means of the space of linear projections in a suitable projective space, and this leads to some new insight in the geometry of the finiteness theorem."},"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":"1203.2246","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-03-10T10:27:06Z","cross_cats_sorted":[],"title_canon_sha256":"e189ff5de150992e1b048f9a20ee84a2e4b2a1880bb743444cec952b6886cc19","abstract_canon_sha256":"6db6a7268bc8f7de319507d08f57dfbb827596c59b73d6d17d2820b673c17c20"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:00:26.017428Z","signature_b64":"vbrGpzA89+K6o+OD7w1I4cKpCsxTFFrnM+NltCOjdhgbIoi0PPy8JpHdvMLuxaIMTF0buEcVJaUmrb1C+TDMBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"470cb0551eb4a41546a8e10a89f78eb408178f023659f16493219cc82f325900","last_reissued_at":"2026-05-18T04:00:26.016662Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:00:26.016662Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Parametrization of rational maps on a variety of general type, and the finiteness theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Gian Pietro Pirola, Lucio Guerra","submitted_at":"2012-03-10T10:27:06Z","abstract_excerpt":"In a previous paper, we provided some update in the treatment of the finiteness theorem for rational maps of finite degree from a fixed variety to varieties of general type. In the present paper we present another improvement, introducing the natural parametrization of maps by means of the space of linear projections in a suitable projective space, and this leads to some new insight in the geometry of the finiteness theorem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.2246","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1203.2246","created_at":"2026-05-18T04:00:26.016751+00:00"},{"alias_kind":"arxiv_version","alias_value":"1203.2246v1","created_at":"2026-05-18T04:00:26.016751+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.2246","created_at":"2026-05-18T04:00:26.016751+00:00"},{"alias_kind":"pith_short_12","alias_value":"I4GLAVI6WSSB","created_at":"2026-05-18T12:27:09.501522+00:00"},{"alias_kind":"pith_short_16","alias_value":"I4GLAVI6WSSBKRVI","created_at":"2026-05-18T12:27:09.501522+00:00"},{"alias_kind":"pith_short_8","alias_value":"I4GLAVI6","created_at":"2026-05-18T12:27:09.501522+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/I4GLAVI6WSSBKRVI4EFIT54OWQ","json":"https://pith.science/pith/I4GLAVI6WSSBKRVI4EFIT54OWQ.json","graph_json":"https://pith.science/api/pith-number/I4GLAVI6WSSBKRVI4EFIT54OWQ/graph.json","events_json":"https://pith.science/api/pith-number/I4GLAVI6WSSBKRVI4EFIT54OWQ/events.json","paper":"https://pith.science/paper/I4GLAVI6"},"agent_actions":{"view_html":"https://pith.science/pith/I4GLAVI6WSSBKRVI4EFIT54OWQ","download_json":"https://pith.science/pith/I4GLAVI6WSSBKRVI4EFIT54OWQ.json","view_paper":"https://pith.science/paper/I4GLAVI6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1203.2246&json=true","fetch_graph":"https://pith.science/api/pith-number/I4GLAVI6WSSBKRVI4EFIT54OWQ/graph.json","fetch_events":"https://pith.science/api/pith-number/I4GLAVI6WSSBKRVI4EFIT54OWQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/I4GLAVI6WSSBKRVI4EFIT54OWQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/I4GLAVI6WSSBKRVI4EFIT54OWQ/action/storage_attestation","attest_author":"https://pith.science/pith/I4GLAVI6WSSBKRVI4EFIT54OWQ/action/author_attestation","sign_citation":"https://pith.science/pith/I4GLAVI6WSSBKRVI4EFIT54OWQ/action/citation_signature","submit_replication":"https://pith.science/pith/I4GLAVI6WSSBKRVI4EFIT54OWQ/action/replication_record"}},"created_at":"2026-05-18T04:00:26.016751+00:00","updated_at":"2026-05-18T04:00:26.016751+00:00"}