{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:KQZOW7SDAWL555UV2BQMROPAQ7","short_pith_number":"pith:KQZOW7SD","schema_version":"1.0","canonical_sha256":"5432eb7e430597def695d060c8b9e087cd029a6c73e7daac84385d1ee9c7aeb0","source":{"kind":"arxiv","id":"1601.06575","version":1},"attestation_state":"computed","paper":{"title":"Module sectional category of products","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"J.G. Carrasquel-Vera, L. Vandembroucq, P.-E. Parent","submitted_at":"2016-01-25T12:33:08Z","abstract_excerpt":"Extending a result of F\\'elix-Halperin-Lemaire on Lusternik-Schnirelmann category of products, we prove additivity of a rational approximation for Schwarz's sectional category with respect to products of fibrations."},"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":"1601.06575","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-01-25T12:33:08Z","cross_cats_sorted":[],"title_canon_sha256":"74e0b6ccdd22d7f25eb65cca5162804b07c88200d0c01353cdaf58d08a44c203","abstract_canon_sha256":"327f37b81c76ffda6c3d738979a2bc4623a284c42bba19f4f8be6952f38dcdad"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:04.190638Z","signature_b64":"oZGHAN8sRqIcSjrglwti7VAA3SwR9FSZ10lQYCmUahI8gNymZ+L1SGAh3tQG2Y9xDZ0A3WeAyYlmdursiypwCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5432eb7e430597def695d060c8b9e087cd029a6c73e7daac84385d1ee9c7aeb0","last_reissued_at":"2026-05-18T01:22:04.189994Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:04.189994Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Module sectional category of products","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"J.G. Carrasquel-Vera, L. Vandembroucq, P.-E. Parent","submitted_at":"2016-01-25T12:33:08Z","abstract_excerpt":"Extending a result of F\\'elix-Halperin-Lemaire on Lusternik-Schnirelmann category of products, we prove additivity of a rational approximation for Schwarz's sectional category with respect to products of fibrations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.06575","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":"1601.06575","created_at":"2026-05-18T01:22:04.190090+00:00"},{"alias_kind":"arxiv_version","alias_value":"1601.06575v1","created_at":"2026-05-18T01:22:04.190090+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.06575","created_at":"2026-05-18T01:22:04.190090+00:00"},{"alias_kind":"pith_short_12","alias_value":"KQZOW7SDAWL5","created_at":"2026-05-18T12:30:25.849896+00:00"},{"alias_kind":"pith_short_16","alias_value":"KQZOW7SDAWL555UV","created_at":"2026-05-18T12:30:25.849896+00:00"},{"alias_kind":"pith_short_8","alias_value":"KQZOW7SD","created_at":"2026-05-18T12:30:25.849896+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/KQZOW7SDAWL555UV2BQMROPAQ7","json":"https://pith.science/pith/KQZOW7SDAWL555UV2BQMROPAQ7.json","graph_json":"https://pith.science/api/pith-number/KQZOW7SDAWL555UV2BQMROPAQ7/graph.json","events_json":"https://pith.science/api/pith-number/KQZOW7SDAWL555UV2BQMROPAQ7/events.json","paper":"https://pith.science/paper/KQZOW7SD"},"agent_actions":{"view_html":"https://pith.science/pith/KQZOW7SDAWL555UV2BQMROPAQ7","download_json":"https://pith.science/pith/KQZOW7SDAWL555UV2BQMROPAQ7.json","view_paper":"https://pith.science/paper/KQZOW7SD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1601.06575&json=true","fetch_graph":"https://pith.science/api/pith-number/KQZOW7SDAWL555UV2BQMROPAQ7/graph.json","fetch_events":"https://pith.science/api/pith-number/KQZOW7SDAWL555UV2BQMROPAQ7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KQZOW7SDAWL555UV2BQMROPAQ7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KQZOW7SDAWL555UV2BQMROPAQ7/action/storage_attestation","attest_author":"https://pith.science/pith/KQZOW7SDAWL555UV2BQMROPAQ7/action/author_attestation","sign_citation":"https://pith.science/pith/KQZOW7SDAWL555UV2BQMROPAQ7/action/citation_signature","submit_replication":"https://pith.science/pith/KQZOW7SDAWL555UV2BQMROPAQ7/action/replication_record"}},"created_at":"2026-05-18T01:22:04.190090+00:00","updated_at":"2026-05-18T01:22:04.190090+00:00"}