{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:LJHXCU3X6CFVPU7F6LFEAH6Z7I","short_pith_number":"pith:LJHXCU3X","schema_version":"1.0","canonical_sha256":"5a4f715377f08b57d3e5f2ca401fd9fa127fe29bac147a1a2b92ab695d191830","source":{"kind":"arxiv","id":"2010.05030","version":1},"attestation_state":"computed","paper":{"title":"Non-trivial $t$-intersecting families for symplectic polar spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Benjian Lv, Kaishun Wang, Tian Yao","submitted_at":"2020-10-10T15:23:58Z","abstract_excerpt":"Let $\\mathscr{P}$ be a symplectic polar space over a finite field $\\mathbb{F}_q$, and $\\mathscr{P}_m$ denote the set of all $m$-dimensional subspaces in $\\mathscr{P}$. We say a $t$-intersecting subfamily of $\\mathscr{P}_m$ is trivial if there exists a $t$-dimensional subspace contained in each member of this family. In this paper, we determine the structure of maximum sized non-trivial $t$-intersecting subfamilies of $\\mathscr{P}_m$."},"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":"2010.05030","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2020-10-10T15:23:58Z","cross_cats_sorted":[],"title_canon_sha256":"afc0bf686372156fa79b7d75b33c503a23d71738606ac298a6930efe90f1021e","abstract_canon_sha256":"7e732a094b915ef016b2064fb81b715ad0104f0e486778d9b12efa37973265ff"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:42:02.133031Z","signature_b64":"MKRwKqDX1UEImi+0u07MSbTuz3XhqPfIEVSN21JxftABmuO/h8PMBcWrCqxfQR62CEpin9XoxgqxtI7WYtjnDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5a4f715377f08b57d3e5f2ca401fd9fa127fe29bac147a1a2b92ab695d191830","last_reissued_at":"2026-07-05T01:42:02.132646Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:42:02.132646Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-trivial $t$-intersecting families for symplectic polar spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Benjian Lv, Kaishun Wang, Tian Yao","submitted_at":"2020-10-10T15:23:58Z","abstract_excerpt":"Let $\\mathscr{P}$ be a symplectic polar space over a finite field $\\mathbb{F}_q$, and $\\mathscr{P}_m$ denote the set of all $m$-dimensional subspaces in $\\mathscr{P}$. We say a $t$-intersecting subfamily of $\\mathscr{P}_m$ is trivial if there exists a $t$-dimensional subspace contained in each member of this family. In this paper, we determine the structure of maximum sized non-trivial $t$-intersecting subfamilies of $\\mathscr{P}_m$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.05030","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2010.05030/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2010.05030","created_at":"2026-07-05T01:42:02.132708+00:00"},{"alias_kind":"arxiv_version","alias_value":"2010.05030v1","created_at":"2026-07-05T01:42:02.132708+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.05030","created_at":"2026-07-05T01:42:02.132708+00:00"},{"alias_kind":"pith_short_12","alias_value":"LJHXCU3X6CFV","created_at":"2026-07-05T01:42:02.132708+00:00"},{"alias_kind":"pith_short_16","alias_value":"LJHXCU3X6CFVPU7F","created_at":"2026-07-05T01:42:02.132708+00:00"},{"alias_kind":"pith_short_8","alias_value":"LJHXCU3X","created_at":"2026-07-05T01:42:02.132708+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/LJHXCU3X6CFVPU7F6LFEAH6Z7I","json":"https://pith.science/pith/LJHXCU3X6CFVPU7F6LFEAH6Z7I.json","graph_json":"https://pith.science/api/pith-number/LJHXCU3X6CFVPU7F6LFEAH6Z7I/graph.json","events_json":"https://pith.science/api/pith-number/LJHXCU3X6CFVPU7F6LFEAH6Z7I/events.json","paper":"https://pith.science/paper/LJHXCU3X"},"agent_actions":{"view_html":"https://pith.science/pith/LJHXCU3X6CFVPU7F6LFEAH6Z7I","download_json":"https://pith.science/pith/LJHXCU3X6CFVPU7F6LFEAH6Z7I.json","view_paper":"https://pith.science/paper/LJHXCU3X","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2010.05030&json=true","fetch_graph":"https://pith.science/api/pith-number/LJHXCU3X6CFVPU7F6LFEAH6Z7I/graph.json","fetch_events":"https://pith.science/api/pith-number/LJHXCU3X6CFVPU7F6LFEAH6Z7I/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LJHXCU3X6CFVPU7F6LFEAH6Z7I/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LJHXCU3X6CFVPU7F6LFEAH6Z7I/action/storage_attestation","attest_author":"https://pith.science/pith/LJHXCU3X6CFVPU7F6LFEAH6Z7I/action/author_attestation","sign_citation":"https://pith.science/pith/LJHXCU3X6CFVPU7F6LFEAH6Z7I/action/citation_signature","submit_replication":"https://pith.science/pith/LJHXCU3X6CFVPU7F6LFEAH6Z7I/action/replication_record"}},"created_at":"2026-07-05T01:42:02.132708+00:00","updated_at":"2026-07-05T01:42:02.132708+00:00"}