{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:EXSRDQACNR36EA5VCBOP33OBR4","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":"d40f23bc07a6c08267d010261077007460afcc7f179de5c9a7b9ed18a183b894","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-09-20T19:09:50Z","title_canon_sha256":"7f3057cbf175ccdd87a780280431649a6ba4e69d7b34ef57b55168a8422f0b9a"},"schema_version":"1.0","source":{"id":"1809.07809","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.07809","created_at":"2026-05-18T00:05:13Z"},{"alias_kind":"arxiv_version","alias_value":"1809.07809v1","created_at":"2026-05-18T00:05:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.07809","created_at":"2026-05-18T00:05:13Z"},{"alias_kind":"pith_short_12","alias_value":"EXSRDQACNR36","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"EXSRDQACNR36EA5V","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"EXSRDQAC","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:6aa4c385c8bb038bf1703801e4f94227c9f255112d361055f575858be0ab1ba9","target":"graph","created_at":"2026-05-18T00:05:13Z","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 define Tribonacci and Tribonacci-Lucas matrix sequences and investigate their properties.","authors_text":"Y\\\"uksel Soykan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-09-20T19:09:50Z","title":"Matrix Sequences of Tribonacci and Tribonacci-Lucas Numbers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.07809","kind":"arxiv","version":1},"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:b14cb80324a43424422700e6d8d7ca30d899f50e9d3498c535d86f7d1e7e5f33","target":"record","created_at":"2026-05-18T00:05:13Z","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":"d40f23bc07a6c08267d010261077007460afcc7f179de5c9a7b9ed18a183b894","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-09-20T19:09:50Z","title_canon_sha256":"7f3057cbf175ccdd87a780280431649a6ba4e69d7b34ef57b55168a8422f0b9a"},"schema_version":"1.0","source":{"id":"1809.07809","kind":"arxiv","version":1}},"canonical_sha256":"25e511c0026c77e203b5105cfdedc18f082564f19c42964681522cab8e8c28ec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"25e511c0026c77e203b5105cfdedc18f082564f19c42964681522cab8e8c28ec","first_computed_at":"2026-05-18T00:05:13.212223Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:05:13.212223Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Hep/0iJK5/yzHqKGVW/6Yqji3dLg8hSzIQsyu5eBpYfqc/DDpCuQzLMBNdScq+Q/f12v2NVFbzmMIZ2W5aS9Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:05:13.212903Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.07809","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b14cb80324a43424422700e6d8d7ca30d899f50e9d3498c535d86f7d1e7e5f33","sha256:6aa4c385c8bb038bf1703801e4f94227c9f255112d361055f575858be0ab1ba9"],"state_sha256":"88d7fd0049c1c12a6aca92869c26d1a30b3aed85faa4750bf71c92fb11316fb7"}