{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:JMCSYA3ERSIYR6GUXPPLIQX3NT","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"2ab323449b33952004332e26c4272510d7869392487c0d0f794c76314a6b1da4","cross_cats_sorted":["math.MG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2012-01-01T20:40:40Z","title_canon_sha256":"c80cf724e831a157f3b71a5aae9d435c396f88e19fa284bf01b4dd613b47829c"},"schema_version":"1.0","source":{"id":"1201.0383","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.0383","created_at":"2026-05-18T04:03:08Z"},{"alias_kind":"arxiv_version","alias_value":"1201.0383v3","created_at":"2026-05-18T04:03:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.0383","created_at":"2026-05-18T04:03:08Z"},{"alias_kind":"pith_short_12","alias_value":"JMCSYA3ERSIY","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JMCSYA3ERSIYR6GU","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JMCSYA3E","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:926145f07769ea2ecc0c6de1eb1cf4a441da4c1c21d89e901fbbd46922d9bd8b","target":"graph","created_at":"2026-05-18T04:03:08Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In this paper, we give a complete description of strongly regular graphs with parameters ((n^2+3n-1)^2,n^2(n+3),1,n(n+1)). All possible such graphs are: the lattice graph $L_{3,3}$ with parameters (9,4,1,2), the Brouwer-Haemers graph with parameters (81,20,1,6), and the Games graph with parameters (729,112,1,20).","authors_text":"Andriy V. Bondarenko, Danylo V. Radchenko","cross_cats":["math.MG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2012-01-01T20:40:40Z","title":"On a family of strongly regular graphs with \\lambda=1"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.0383","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:d832c25515e1186c9ae8110bd5dd511705f4457ec3ca92f644a250182c1cfc1b","target":"record","created_at":"2026-05-18T04:03:08Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"2ab323449b33952004332e26c4272510d7869392487c0d0f794c76314a6b1da4","cross_cats_sorted":["math.MG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2012-01-01T20:40:40Z","title_canon_sha256":"c80cf724e831a157f3b71a5aae9d435c396f88e19fa284bf01b4dd613b47829c"},"schema_version":"1.0","source":{"id":"1201.0383","kind":"arxiv","version":3}},"canonical_sha256":"4b052c03648c9188f8d4bbdeb442fb6cdae397840c11853efd4afea617ad6441","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4b052c03648c9188f8d4bbdeb442fb6cdae397840c11853efd4afea617ad6441","first_computed_at":"2026-05-18T04:03:08.758132Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:03:08.758132Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KPTLBSXhTwFE/vobyzYTYINMliICkKrioNMURSX39gHEPkyZBoPlm2IaLcLWAuTb5+TFNE9bDDue6419K4WDDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:03:08.758931Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.0383","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d832c25515e1186c9ae8110bd5dd511705f4457ec3ca92f644a250182c1cfc1b","sha256:926145f07769ea2ecc0c6de1eb1cf4a441da4c1c21d89e901fbbd46922d9bd8b"],"state_sha256":"64b28a11cb45c8882158dc41b3b09511b43006ea7e0948433f9aedf7c140296e"}