{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:CCBYEFIZY5QHASSH3N73ETL2DY","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":"64f5b08d563ec2e0507d4811fee719d8fbef139ab69fb11946563ecdfa813046","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2023-07-24T11:44:53Z","title_canon_sha256":"1bed1d39a2df434e365c93828ede46d73b4c503fd732ac3081223467cb73376a"},"schema_version":"1.0","source":{"id":"2307.12710","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2307.12710","created_at":"2026-07-05T06:33:57Z"},{"alias_kind":"arxiv_version","alias_value":"2307.12710v1","created_at":"2026-07-05T06:33:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.12710","created_at":"2026-07-05T06:33:57Z"},{"alias_kind":"pith_short_12","alias_value":"CCBYEFIZY5QH","created_at":"2026-07-05T06:33:57Z"},{"alias_kind":"pith_short_16","alias_value":"CCBYEFIZY5QHASSH","created_at":"2026-07-05T06:33:57Z"},{"alias_kind":"pith_short_8","alias_value":"CCBYEFIZ","created_at":"2026-07-05T06:33:57Z"}],"graph_snapshots":[{"event_id":"sha256:be8ec9db775d06075865e443aededdee965c0d19b9a9d6313511d6a81272b746","target":"graph","created_at":"2026-07-05T06:33:57Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2307.12710/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We classify certain non-symmetric commutative association schemes. As an application, we determine all the weakly distance-regular circulants of one type of arcs by using Schur rings. We also give the classification of primitive weakly distance-regular circulants.","authors_text":"Akihiro Munemasa, Kaishun Wang, Wenying Zhu, Yuefeng Yang","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2023-07-24T11:44:53Z","title":"Weakly distance-regular circulants, I"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.12710","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":"sha256:009431eaca10875a87e5fecff503bfda271d20ac5cc7e6fc353833bcfa033b09","target":"record","created_at":"2026-07-05T06:33:57Z","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":"64f5b08d563ec2e0507d4811fee719d8fbef139ab69fb11946563ecdfa813046","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2023-07-24T11:44:53Z","title_canon_sha256":"1bed1d39a2df434e365c93828ede46d73b4c503fd732ac3081223467cb73376a"},"schema_version":"1.0","source":{"id":"2307.12710","kind":"arxiv","version":1}},"canonical_sha256":"1083821519c760704a47db7fb24d7a1e21b04f6f64ef6d98a1bc54e9605ef543","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1083821519c760704a47db7fb24d7a1e21b04f6f64ef6d98a1bc54e9605ef543","first_computed_at":"2026-07-05T06:33:57.712950Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:33:57.712950Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ooklo1Qb484xFJ2yURbCIi9KsaQVuCwLduyrmKOqPyuGbc9DKQc0+JOOYiols1L3C641BWh7DM42cSKi9meiAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:33:57.713487Z","signed_message":"canonical_sha256_bytes"},"source_id":"2307.12710","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:009431eaca10875a87e5fecff503bfda271d20ac5cc7e6fc353833bcfa033b09","sha256:be8ec9db775d06075865e443aededdee965c0d19b9a9d6313511d6a81272b746"],"state_sha256":"e9972936ee641a083a71bcdc0f0801c56a4904663eb5c03e49856dda1d512997"}