{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:KIKJ62LTT2FZPEIOIFPG5C6YBF","short_pith_number":"pith:KIKJ62LT","schema_version":"1.0","canonical_sha256":"52149f69739e8b97910e415e6e8bd8097bc2db6f99e7ebb7ecf707d2426b0615","source":{"kind":"arxiv","id":"1605.07400","version":1},"attestation_state":"computed","paper":{"title":"Switched graphs of some strongly regular graphs related to the symplectic graph","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Alice M.W. Hui, Bernardo Rodrigues","submitted_at":"2016-05-24T12:02:31Z","abstract_excerpt":"Applying a method of Godsil and McKay \\cite{GM} to some graphs related to the symplectic graph, a series of new infinite families of strongly regular graphs with parameters $(2^n\\pm2^{(n-1)/2},2^{n-1}\\pm2^{(n-1)/2},2^{n-2}\\pm2^{(n-3)/2},2^{n-2}\\pm2^{(n-1)/2})$ are constructed for any odd $n \\geq 5$. The construction is described in terms of geometry of quadric in projective space. The binary linear codes of the switched graphs are $[2^n \\mp 2^{\\frac{n-1}{2}},n+3,2^{t+1}]_2$-code or $[2^n \\mp 2^{\\frac{n-1}{2}},n+3,2^{t+2}]_2$-code."},"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":"1605.07400","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-05-24T12:02:31Z","cross_cats_sorted":[],"title_canon_sha256":"698b6250c7298021dc5308ca3ae3efee8fda8c3d0c730297ec393bddd1b6a81e","abstract_canon_sha256":"8a3297d9158f814343c0941ee67770bb6b1795270225747a7dbbbf22a70f3980"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:13:46.168092Z","signature_b64":"0sdJSr4kMzOcqxYh2Gfjrc/9lFlugoHcs8Pz9LrEGBQe4PTpQE0VriDEIrEzYKb6kViDBAxAvDyFZYxwWBHbCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"52149f69739e8b97910e415e6e8bd8097bc2db6f99e7ebb7ecf707d2426b0615","last_reissued_at":"2026-05-18T01:13:46.167567Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:13:46.167567Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Switched graphs of some strongly regular graphs related to the symplectic graph","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Alice M.W. Hui, Bernardo Rodrigues","submitted_at":"2016-05-24T12:02:31Z","abstract_excerpt":"Applying a method of Godsil and McKay \\cite{GM} to some graphs related to the symplectic graph, a series of new infinite families of strongly regular graphs with parameters $(2^n\\pm2^{(n-1)/2},2^{n-1}\\pm2^{(n-1)/2},2^{n-2}\\pm2^{(n-3)/2},2^{n-2}\\pm2^{(n-1)/2})$ are constructed for any odd $n \\geq 5$. The construction is described in terms of geometry of quadric in projective space. The binary linear codes of the switched graphs are $[2^n \\mp 2^{\\frac{n-1}{2}},n+3,2^{t+1}]_2$-code or $[2^n \\mp 2^{\\frac{n-1}{2}},n+3,2^{t+2}]_2$-code."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.07400","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":"1605.07400","created_at":"2026-05-18T01:13:46.167640+00:00"},{"alias_kind":"arxiv_version","alias_value":"1605.07400v1","created_at":"2026-05-18T01:13:46.167640+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.07400","created_at":"2026-05-18T01:13:46.167640+00:00"},{"alias_kind":"pith_short_12","alias_value":"KIKJ62LTT2FZ","created_at":"2026-05-18T12:30:25.849896+00:00"},{"alias_kind":"pith_short_16","alias_value":"KIKJ62LTT2FZPEIO","created_at":"2026-05-18T12:30:25.849896+00:00"},{"alias_kind":"pith_short_8","alias_value":"KIKJ62LT","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/KIKJ62LTT2FZPEIOIFPG5C6YBF","json":"https://pith.science/pith/KIKJ62LTT2FZPEIOIFPG5C6YBF.json","graph_json":"https://pith.science/api/pith-number/KIKJ62LTT2FZPEIOIFPG5C6YBF/graph.json","events_json":"https://pith.science/api/pith-number/KIKJ62LTT2FZPEIOIFPG5C6YBF/events.json","paper":"https://pith.science/paper/KIKJ62LT"},"agent_actions":{"view_html":"https://pith.science/pith/KIKJ62LTT2FZPEIOIFPG5C6YBF","download_json":"https://pith.science/pith/KIKJ62LTT2FZPEIOIFPG5C6YBF.json","view_paper":"https://pith.science/paper/KIKJ62LT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1605.07400&json=true","fetch_graph":"https://pith.science/api/pith-number/KIKJ62LTT2FZPEIOIFPG5C6YBF/graph.json","fetch_events":"https://pith.science/api/pith-number/KIKJ62LTT2FZPEIOIFPG5C6YBF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KIKJ62LTT2FZPEIOIFPG5C6YBF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KIKJ62LTT2FZPEIOIFPG5C6YBF/action/storage_attestation","attest_author":"https://pith.science/pith/KIKJ62LTT2FZPEIOIFPG5C6YBF/action/author_attestation","sign_citation":"https://pith.science/pith/KIKJ62LTT2FZPEIOIFPG5C6YBF/action/citation_signature","submit_replication":"https://pith.science/pith/KIKJ62LTT2FZPEIOIFPG5C6YBF/action/replication_record"}},"created_at":"2026-05-18T01:13:46.167640+00:00","updated_at":"2026-05-18T01:13:46.167640+00:00"}