{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:ZG664K7QIN3BHFPMBPBFCCPIHR","short_pith_number":"pith:ZG664K7Q","schema_version":"1.0","canonical_sha256":"c9bdee2bf043761395ec0bc25109e83c4afda4597a9a1c68007c2896199d3b15","source":{"kind":"arxiv","id":"1411.7994","version":1},"attestation_state":"computed","paper":{"title":"Rational curves and instantons on the Fano threefold $Y_5$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Giangiacomo Sanna","submitted_at":"2014-11-28T20:44:03Z","abstract_excerpt":"This thesis is an investigation of the moduli spaces of instanton bundles on the Fano threefold $Y_5$ (a linear section of $\\mathbb{G}r(2,5)$). It contains new proofs of classical facts about lines, conics and cubics on $Y_5$, and about linear sections of $Y_5$.\n  The main original results are a Grauert-M\\\"ulich theorem for the splitting type of instantons on conics, a bound to the splitting type of instantons on lines and an $SL_2$-equivariant description of the moduli space in charge 2 and 3.\n  Using these results we prove the existence of a unique $SL_2$-equivariant instanton of minimal cha"},"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":"1411.7994","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-11-28T20:44:03Z","cross_cats_sorted":[],"title_canon_sha256":"584c1d5cecbc8d88c566391dc732e8cf8fded8d596c064055aca070b969d128e","abstract_canon_sha256":"c75a7ccd4b94324738ab95132176eef274d9a4f5a261a2f583d6c7f1b5021556"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:32:31.908765Z","signature_b64":"CLVbV+Aj3rhy+08ckvHtOFqExeIWdk6g3ex0TAJ3qZie8KGPwfvawtJY6piC4Pk5HSI9lSyS8QTBd6mruUxjDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c9bdee2bf043761395ec0bc25109e83c4afda4597a9a1c68007c2896199d3b15","last_reissued_at":"2026-05-18T02:32:31.908227Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:32:31.908227Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Rational curves and instantons on the Fano threefold $Y_5$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Giangiacomo Sanna","submitted_at":"2014-11-28T20:44:03Z","abstract_excerpt":"This thesis is an investigation of the moduli spaces of instanton bundles on the Fano threefold $Y_5$ (a linear section of $\\mathbb{G}r(2,5)$). It contains new proofs of classical facts about lines, conics and cubics on $Y_5$, and about linear sections of $Y_5$.\n  The main original results are a Grauert-M\\\"ulich theorem for the splitting type of instantons on conics, a bound to the splitting type of instantons on lines and an $SL_2$-equivariant description of the moduli space in charge 2 and 3.\n  Using these results we prove the existence of a unique $SL_2$-equivariant instanton of minimal cha"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.7994","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":"1411.7994","created_at":"2026-05-18T02:32:31.908305+00:00"},{"alias_kind":"arxiv_version","alias_value":"1411.7994v1","created_at":"2026-05-18T02:32:31.908305+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.7994","created_at":"2026-05-18T02:32:31.908305+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZG664K7QIN3B","created_at":"2026-05-18T12:28:59.999130+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZG664K7QIN3BHFPM","created_at":"2026-05-18T12:28:59.999130+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZG664K7Q","created_at":"2026-05-18T12:28:59.999130+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2501.12964","citing_title":"Double EPW cubes from twisted cubics on Gushel-Mukai fourfolds","ref_index":55,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ZG664K7QIN3BHFPMBPBFCCPIHR","json":"https://pith.science/pith/ZG664K7QIN3BHFPMBPBFCCPIHR.json","graph_json":"https://pith.science/api/pith-number/ZG664K7QIN3BHFPMBPBFCCPIHR/graph.json","events_json":"https://pith.science/api/pith-number/ZG664K7QIN3BHFPMBPBFCCPIHR/events.json","paper":"https://pith.science/paper/ZG664K7Q"},"agent_actions":{"view_html":"https://pith.science/pith/ZG664K7QIN3BHFPMBPBFCCPIHR","download_json":"https://pith.science/pith/ZG664K7QIN3BHFPMBPBFCCPIHR.json","view_paper":"https://pith.science/paper/ZG664K7Q","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1411.7994&json=true","fetch_graph":"https://pith.science/api/pith-number/ZG664K7QIN3BHFPMBPBFCCPIHR/graph.json","fetch_events":"https://pith.science/api/pith-number/ZG664K7QIN3BHFPMBPBFCCPIHR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZG664K7QIN3BHFPMBPBFCCPIHR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZG664K7QIN3BHFPMBPBFCCPIHR/action/storage_attestation","attest_author":"https://pith.science/pith/ZG664K7QIN3BHFPMBPBFCCPIHR/action/author_attestation","sign_citation":"https://pith.science/pith/ZG664K7QIN3BHFPMBPBFCCPIHR/action/citation_signature","submit_replication":"https://pith.science/pith/ZG664K7QIN3BHFPMBPBFCCPIHR/action/replication_record"}},"created_at":"2026-05-18T02:32:31.908305+00:00","updated_at":"2026-05-18T02:32:31.908305+00:00"}