{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:S72X54CHCJOW4GOLB7SN3H7KQO","short_pith_number":"pith:S72X54CH","schema_version":"1.0","canonical_sha256":"97f57ef047125d6e19cb0fe4dd9fea839775a19459e8d8b877e07417d6a3d6cd","source":{"kind":"arxiv","id":"1611.01674","version":1},"attestation_state":"computed","paper":{"title":"On non-secant defectivity of Segre-Veronese varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AG","authors_text":"Alex Massarenti, Carolina Araujo, Rick Rischter","submitted_at":"2016-11-05T17:02:28Z","abstract_excerpt":"Let $SV^{\\pmb n}_{\\pmb d}$ be the Segre-Veronese given as the image of the embedding induced by the line bundle $\\mathcal{O}_{\\mathbb{P}^{n_1}\\times\\dots\\times\\mathbb{P}^{n_r}}(d_1,\\dots, d_r)$. We prove that asymptotically $SV^{\\pmb n}_{\\pmb d}$ is not $h$-defective for $h\\leq n_1^{\\lfloor \\log_2(d-1)\\rfloor}$."},"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":"1611.01674","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-11-05T17:02:28Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"b0847cdb3051303804ec71e36dee1bc3876d59770a610207496ee7761e8ceac2","abstract_canon_sha256":"cc3df5ebfdcf4ac30233f1cc2997de8b74e21ea1a57712f848716754b0ad21c2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:00:04.725934Z","signature_b64":"klE9zr/6H5igZaDo4KK0zLw1KZoMav6ThjKHcTlM2DqkPZpw860E1NmsOlEgy0zjuta67s+7JhDGrcG5n68DAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"97f57ef047125d6e19cb0fe4dd9fea839775a19459e8d8b877e07417d6a3d6cd","last_reissued_at":"2026-05-18T01:00:04.725440Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:00:04.725440Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On non-secant defectivity of Segre-Veronese varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AG","authors_text":"Alex Massarenti, Carolina Araujo, Rick Rischter","submitted_at":"2016-11-05T17:02:28Z","abstract_excerpt":"Let $SV^{\\pmb n}_{\\pmb d}$ be the Segre-Veronese given as the image of the embedding induced by the line bundle $\\mathcal{O}_{\\mathbb{P}^{n_1}\\times\\dots\\times\\mathbb{P}^{n_r}}(d_1,\\dots, d_r)$. We prove that asymptotically $SV^{\\pmb n}_{\\pmb d}$ is not $h$-defective for $h\\leq n_1^{\\lfloor \\log_2(d-1)\\rfloor}$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.01674","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":"1611.01674","created_at":"2026-05-18T01:00:04.725527+00:00"},{"alias_kind":"arxiv_version","alias_value":"1611.01674v1","created_at":"2026-05-18T01:00:04.725527+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.01674","created_at":"2026-05-18T01:00:04.725527+00:00"},{"alias_kind":"pith_short_12","alias_value":"S72X54CHCJOW","created_at":"2026-05-18T12:30:44.179134+00:00"},{"alias_kind":"pith_short_16","alias_value":"S72X54CHCJOW4GOL","created_at":"2026-05-18T12:30:44.179134+00:00"},{"alias_kind":"pith_short_8","alias_value":"S72X54CH","created_at":"2026-05-18T12:30:44.179134+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/S72X54CHCJOW4GOLB7SN3H7KQO","json":"https://pith.science/pith/S72X54CHCJOW4GOLB7SN3H7KQO.json","graph_json":"https://pith.science/api/pith-number/S72X54CHCJOW4GOLB7SN3H7KQO/graph.json","events_json":"https://pith.science/api/pith-number/S72X54CHCJOW4GOLB7SN3H7KQO/events.json","paper":"https://pith.science/paper/S72X54CH"},"agent_actions":{"view_html":"https://pith.science/pith/S72X54CHCJOW4GOLB7SN3H7KQO","download_json":"https://pith.science/pith/S72X54CHCJOW4GOLB7SN3H7KQO.json","view_paper":"https://pith.science/paper/S72X54CH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1611.01674&json=true","fetch_graph":"https://pith.science/api/pith-number/S72X54CHCJOW4GOLB7SN3H7KQO/graph.json","fetch_events":"https://pith.science/api/pith-number/S72X54CHCJOW4GOLB7SN3H7KQO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/S72X54CHCJOW4GOLB7SN3H7KQO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/S72X54CHCJOW4GOLB7SN3H7KQO/action/storage_attestation","attest_author":"https://pith.science/pith/S72X54CHCJOW4GOLB7SN3H7KQO/action/author_attestation","sign_citation":"https://pith.science/pith/S72X54CHCJOW4GOLB7SN3H7KQO/action/citation_signature","submit_replication":"https://pith.science/pith/S72X54CHCJOW4GOLB7SN3H7KQO/action/replication_record"}},"created_at":"2026-05-18T01:00:04.725527+00:00","updated_at":"2026-05-18T01:00:04.725527+00:00"}