{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:57XLK4IQVXGVTCVBXE7MQP6U2L","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":"73581fecdcffea7fbe7e355cfc0437b8a54f9f3512f2a2ad35e40c061e86c9e6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-07-01T22:45:46Z","title_canon_sha256":"2e482b8d958db950900e32a85150df32cde14039fec144cdc98b22b539568ced"},"schema_version":"1.0","source":{"id":"1807.00411","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.00411","created_at":"2026-05-18T00:11:54Z"},{"alias_kind":"arxiv_version","alias_value":"1807.00411v1","created_at":"2026-05-18T00:11:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.00411","created_at":"2026-05-18T00:11:54Z"},{"alias_kind":"pith_short_12","alias_value":"57XLK4IQVXGV","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"57XLK4IQVXGVTCVB","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"57XLK4IQ","created_at":"2026-05-18T12:32:08Z"}],"graph_snapshots":[{"event_id":"sha256:cd64c7f51018c2c83c0d9354f8fed790d81122886fc7e861cf944dfb0e3c8390","target":"graph","created_at":"2026-05-18T00:11:54Z","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":"We study special values of finite multiple harmonic q-series at roots of unity. These objects were recently introduced by the authors and it was shown that they have connections to finite and symmetric multiple zeta values and the Kaneko-Zagier conjecture. In this note we give new explicit evaluations for finite multiple harmonic q-series at roots of unity and prove Ohno-Zagier-type relations for them.","authors_text":"Henrik Bachmann, Koji Tasaka, Yoshihiro Takeyama","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-07-01T22:45:46Z","title":"Special values of finite multiple harmonic q-series at roots of unity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.00411","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":"sha256:091a46877e82942e2d02532480d0b25f640f6f84e2821a9b8c49e7a9d3c2602d","target":"record","created_at":"2026-05-18T00:11:54Z","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":"73581fecdcffea7fbe7e355cfc0437b8a54f9f3512f2a2ad35e40c061e86c9e6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-07-01T22:45:46Z","title_canon_sha256":"2e482b8d958db950900e32a85150df32cde14039fec144cdc98b22b539568ced"},"schema_version":"1.0","source":{"id":"1807.00411","kind":"arxiv","version":1}},"canonical_sha256":"efeeb57110adcd598aa1b93ec83fd4d2f243ae8c647531e0b7d47dfb24f8b5ec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"efeeb57110adcd598aa1b93ec83fd4d2f243ae8c647531e0b7d47dfb24f8b5ec","first_computed_at":"2026-05-18T00:11:54.960246Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:11:54.960246Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iesKAf4W3cPiNXv8knLpHasni0WMHBdy+GPyDVhXuprBPTXYmrfEbCC9nkAs9BHMukYY4TolUcpq7tzmklGYDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:11:54.960884Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.00411","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:091a46877e82942e2d02532480d0b25f640f6f84e2821a9b8c49e7a9d3c2602d","sha256:cd64c7f51018c2c83c0d9354f8fed790d81122886fc7e861cf944dfb0e3c8390"],"state_sha256":"3b11c787a04032e8642950ef51d393a0e7463dc5eec5ded035f9f2366f7eda9a"}