{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:LDF4CZJBPVCHLNRP22ZSM3ZM24","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":"35d2bca903ad2e1c0f1d4826f933a5ac796d5e8401e34069028401a4e9cbb1c1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-06-03T00:43:02Z","title_canon_sha256":"b019ff1c7d01b44a2ceec41a708ca5cc128e785862522a9f333415615d369af5"},"schema_version":"1.0","source":{"id":"1806.00719","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.00719","created_at":"2026-05-18T00:13:21Z"},{"alias_kind":"arxiv_version","alias_value":"1806.00719v2","created_at":"2026-05-18T00:13:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.00719","created_at":"2026-05-18T00:13:21Z"},{"alias_kind":"pith_short_12","alias_value":"LDF4CZJBPVCH","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"LDF4CZJBPVCHLNRP","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"LDF4CZJB","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:5ae86bfcec2a5a790ea1c7ca711ce6a01dd8dc22b5a10d41917dadf41faf0dbe","target":"graph","created_at":"2026-05-18T00:13:21Z","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 technique to represent simple connected graphs by using Clockwise Circular Representations and we show its applications by calculating orthogonal representations of simple connected graphs which are essentials in matrix analysis and graph theory.","authors_text":"Pedro D\\'iaz Navarro","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-06-03T00:43:02Z","title":"Representaciones Circulares de Grafos Simples Conexos y el Rango M\\'inimo Semidefinido de un Delta Grafo"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.00719","kind":"arxiv","version":2},"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":"sha256:50939af59ce33b896031aa7d90bf3f5d6725cbb685b3642cb1ddd8bc7fc7c2fd","target":"record","created_at":"2026-05-18T00:13:21Z","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":"35d2bca903ad2e1c0f1d4826f933a5ac796d5e8401e34069028401a4e9cbb1c1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-06-03T00:43:02Z","title_canon_sha256":"b019ff1c7d01b44a2ceec41a708ca5cc128e785862522a9f333415615d369af5"},"schema_version":"1.0","source":{"id":"1806.00719","kind":"arxiv","version":2}},"canonical_sha256":"58cbc165217d4475b62fd6b3266f2cd7090a255b4ba65e5023529aae828ac5ca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"58cbc165217d4475b62fd6b3266f2cd7090a255b4ba65e5023529aae828ac5ca","first_computed_at":"2026-05-18T00:13:21.285119Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:13:21.285119Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QnoF/oc5oIIpW7k2K/CY1ssZnC8p5QwqvxG+mmkOgi7Ly3wxDlbS80SHN40jsh0DHfBlV1SS3WyXOYGhEFKBDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:13:21.285697Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.00719","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:50939af59ce33b896031aa7d90bf3f5d6725cbb685b3642cb1ddd8bc7fc7c2fd","sha256:5ae86bfcec2a5a790ea1c7ca711ce6a01dd8dc22b5a10d41917dadf41faf0dbe"],"state_sha256":"38911d4669863901ad3a0f864b0401b977b713a689a057442608154efc4bd4f5"}