{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:DH2UE2YNQYHEJAAMJF4JW2H4MS","short_pith_number":"pith:DH2UE2YN","schema_version":"1.0","canonical_sha256":"19f5426b0d860e44800c49789b68fc64b540795617aec6881754baf856ecd36e","source":{"kind":"arxiv","id":"1705.06829","version":1},"attestation_state":"computed","paper":{"title":"Linear stability and stability of Lazarsfeld-Mukai bundles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Abel Castorena, H. Torres-Lopez","submitted_at":"2017-05-18T23:13:55Z","abstract_excerpt":"Let $C$ be a smooth irreducible projective curve and let $(L,H^0(C,L))$ be a complete and generated linear series on $C$. Denote by $M_L$ the kernel of the evaluation map $H^0(C,L)\\otimes\\mathcal O_C\\to L$. The exact sequence $0\\to M_L\\to H^0(C,L)\\otimes\\mathcal O_C\\to L\\to 0$ fits into a commutative diagram that we call the Butler's diagram. This diagram induces in a natural way a multiplication map on global sections $m_W: W^{\\vee}\\otimes H^0(K_C)\\to H^0(S^{\\vee}\\otimes K_C)$, where $W\\subseteq H^0(C,L)$ is a subspace and $S^{\\vee}$ is the dual of a subbundle $S\\subset M_L$. When the subbund"},"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":"1705.06829","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-18T23:13:55Z","cross_cats_sorted":[],"title_canon_sha256":"2eccd66cdf5e0fbad87a53b5a689777fa56d51e8fd1ef332a42c37024c59dd06","abstract_canon_sha256":"8194636794ea13bd5664efc210a365e11e6d953b6811a11f4264eac0964ab74f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:11.200634Z","signature_b64":"74Z07pr9buohUmA44+6plX+gdjzrni5V6tiCch5RXEM5md19126TW6dcSwWXejS4tPAWWsSvIBaGfLT0i0veBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"19f5426b0d860e44800c49789b68fc64b540795617aec6881754baf856ecd36e","last_reissued_at":"2026-05-18T00:44:11.200177Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:11.200177Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Linear stability and stability of Lazarsfeld-Mukai bundles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Abel Castorena, H. Torres-Lopez","submitted_at":"2017-05-18T23:13:55Z","abstract_excerpt":"Let $C$ be a smooth irreducible projective curve and let $(L,H^0(C,L))$ be a complete and generated linear series on $C$. Denote by $M_L$ the kernel of the evaluation map $H^0(C,L)\\otimes\\mathcal O_C\\to L$. The exact sequence $0\\to M_L\\to H^0(C,L)\\otimes\\mathcal O_C\\to L\\to 0$ fits into a commutative diagram that we call the Butler's diagram. This diagram induces in a natural way a multiplication map on global sections $m_W: W^{\\vee}\\otimes H^0(K_C)\\to H^0(S^{\\vee}\\otimes K_C)$, where $W\\subseteq H^0(C,L)$ is a subspace and $S^{\\vee}$ is the dual of a subbundle $S\\subset M_L$. When the subbund"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.06829","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":"1705.06829","created_at":"2026-05-18T00:44:11.200244+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.06829v1","created_at":"2026-05-18T00:44:11.200244+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.06829","created_at":"2026-05-18T00:44:11.200244+00:00"},{"alias_kind":"pith_short_12","alias_value":"DH2UE2YNQYHE","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_16","alias_value":"DH2UE2YNQYHEJAAM","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_8","alias_value":"DH2UE2YN","created_at":"2026-05-18T12:31:10.602751+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/DH2UE2YNQYHEJAAMJF4JW2H4MS","json":"https://pith.science/pith/DH2UE2YNQYHEJAAMJF4JW2H4MS.json","graph_json":"https://pith.science/api/pith-number/DH2UE2YNQYHEJAAMJF4JW2H4MS/graph.json","events_json":"https://pith.science/api/pith-number/DH2UE2YNQYHEJAAMJF4JW2H4MS/events.json","paper":"https://pith.science/paper/DH2UE2YN"},"agent_actions":{"view_html":"https://pith.science/pith/DH2UE2YNQYHEJAAMJF4JW2H4MS","download_json":"https://pith.science/pith/DH2UE2YNQYHEJAAMJF4JW2H4MS.json","view_paper":"https://pith.science/paper/DH2UE2YN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.06829&json=true","fetch_graph":"https://pith.science/api/pith-number/DH2UE2YNQYHEJAAMJF4JW2H4MS/graph.json","fetch_events":"https://pith.science/api/pith-number/DH2UE2YNQYHEJAAMJF4JW2H4MS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DH2UE2YNQYHEJAAMJF4JW2H4MS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DH2UE2YNQYHEJAAMJF4JW2H4MS/action/storage_attestation","attest_author":"https://pith.science/pith/DH2UE2YNQYHEJAAMJF4JW2H4MS/action/author_attestation","sign_citation":"https://pith.science/pith/DH2UE2YNQYHEJAAMJF4JW2H4MS/action/citation_signature","submit_replication":"https://pith.science/pith/DH2UE2YNQYHEJAAMJF4JW2H4MS/action/replication_record"}},"created_at":"2026-05-18T00:44:11.200244+00:00","updated_at":"2026-05-18T00:44:11.200244+00:00"}