{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:RJFWISTKV7KSLMY4S25KFJE2KY","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":"71a02afba4bd4623d4a2afff5749f3013d562748cee4954c5886ee64d4eab66c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2026-08-10T16:29:09Z","title_canon_sha256":"7365f22854aa121ee66a8897e0cbab7141f1a1d0692fbe66ea90d02e0dfb691e"},"schema_version":"1.0","source":{"id":"2608.09806","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.09806","created_at":"2026-08-11T02:25:08Z"},{"alias_kind":"arxiv_version","alias_value":"2608.09806v1","created_at":"2026-08-11T02:25:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.09806","created_at":"2026-08-11T02:25:08Z"},{"alias_kind":"pith_short_12","alias_value":"RJFWISTKV7KS","created_at":"2026-08-11T02:25:08Z"},{"alias_kind":"pith_short_16","alias_value":"RJFWISTKV7KSLMY4","created_at":"2026-08-11T02:25:08Z"},{"alias_kind":"pith_short_8","alias_value":"RJFWISTK","created_at":"2026-08-11T02:25:08Z"}],"graph_snapshots":[{"event_id":"sha256:4b26169f21446dbc8bf422025e88c3275c3f0ee886dc92e435cabd83de1b6429","target":"graph","created_at":"2026-08-11T02:25:08Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2608.09806/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recently, Hirose proved an analogue of the linear part of Kawashima's relations for refined symmetric multiple zeta values. In this paper, we establish an analogue of Hirose's relation for finite multiple harmonic $q$-series at roots of unity. As an application, we prove the cyclic sum conjecture proposed by Kh. Hessami Pilehrood, T. Hessami Pilehrood, and R. Tauraso.","authors_text":"Takumi Maesaka","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2026-08-10T16:29:09Z","title":"An analogue of Hirose's relation for finite multiple harmonic $q$-series at roots of unity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.09806","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":"sha256:9bcc541c34a2a7bf0d73f693572ad00d0aa352f267f4d7b8f26aeb09e24d6352","target":"record","created_at":"2026-08-11T02:25:08Z","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":"71a02afba4bd4623d4a2afff5749f3013d562748cee4954c5886ee64d4eab66c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2026-08-10T16:29:09Z","title_canon_sha256":"7365f22854aa121ee66a8897e0cbab7141f1a1d0692fbe66ea90d02e0dfb691e"},"schema_version":"1.0","source":{"id":"2608.09806","kind":"arxiv","version":1}},"canonical_sha256":"8a4b644a6aafd525b31c96baa2a49a563f3210056a3d0e5ced56e466aecd5116","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8a4b644a6aafd525b31c96baa2a49a563f3210056a3d0e5ced56e466aecd5116","first_computed_at":"2026-08-11T02:25:08.313505Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-11T02:25:08.313505Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Mh6XTCc3x4cj0zMvw2qJk4YPcjcVP8PItQ7UlFre8nOTfnq9e6cq5hq1BSu/7VGpNRrx/BhxhB6FVSdFWWAgBg==","signature_status":"signed_v1","signed_at":"2026-08-11T02:25:08.314986Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.09806","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9bcc541c34a2a7bf0d73f693572ad00d0aa352f267f4d7b8f26aeb09e24d6352","sha256:4b26169f21446dbc8bf422025e88c3275c3f0ee886dc92e435cabd83de1b6429"],"state_sha256":"ba15ac43cd3500283997007348ecc0b29377f7052095c1ef2afbcc786e4a3b25"}