{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:QYIL3NIRRCZ7JOHHT6CRDAAOA3","short_pith_number":"pith:QYIL3NIR","schema_version":"1.0","canonical_sha256":"8610bdb51188b3f4b8e79f8511800e06c751cbb9e3099a17261b3a4ee50db81a","source":{"kind":"arxiv","id":"1908.09307","version":3},"attestation_state":"computed","paper":{"title":"Yamamoto's interpolation of finite multiple zeta and zeta-star values","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Hideki Murahara, Masataka Ono","submitted_at":"2019-08-25T11:51:39Z","abstract_excerpt":"We study a polynomial interpolation of finite multiple zeta and zeta-star values with variable $t$, which is an analogue of interpolated multiple zeta values introduced by Yamamoto. We introduce several relations among them and, in particular, prove the cyclic sum formula, the Bowman-Bradley type formula, and the weighted sum formula. The harmonic relation, the shuffle relation, the duality relation, and the derivation relation are also presented."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1908.09307","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-08-25T11:51:39Z","cross_cats_sorted":[],"title_canon_sha256":"c3bbc1a9396a081e4300262fe85fe9e2b56c553ff26ef682a09f4e143ec3b085","abstract_canon_sha256":"ddea223c52fd64a9b1925f9b5eb96376385793cd83c56b45188ddf86b16f7c63"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:29:00.610692Z","signature_b64":"bV0Kmsk20aQ52TsVRQHAUB/6R1sqNdh6yuJX7N56EXiX9Hpl29kkuUHAgn6iFLNuR+6/B2VLYnSbAF890bnHAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8610bdb51188b3f4b8e79f8511800e06c751cbb9e3099a17261b3a4ee50db81a","last_reissued_at":"2026-07-05T01:29:00.610227Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:29:00.610227Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Yamamoto's interpolation of finite multiple zeta and zeta-star values","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Hideki Murahara, Masataka Ono","submitted_at":"2019-08-25T11:51:39Z","abstract_excerpt":"We study a polynomial interpolation of finite multiple zeta and zeta-star values with variable $t$, which is an analogue of interpolated multiple zeta values introduced by Yamamoto. We introduce several relations among them and, in particular, prove the cyclic sum formula, the Bowman-Bradley type formula, and the weighted sum formula. The harmonic relation, the shuffle relation, the duality relation, and the derivation relation are also presented."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.09307","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.09307/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1908.09307","created_at":"2026-07-05T01:29:00.610285+00:00"},{"alias_kind":"arxiv_version","alias_value":"1908.09307v3","created_at":"2026-07-05T01:29:00.610285+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.09307","created_at":"2026-07-05T01:29:00.610285+00:00"},{"alias_kind":"pith_short_12","alias_value":"QYIL3NIRRCZ7","created_at":"2026-07-05T01:29:00.610285+00:00"},{"alias_kind":"pith_short_16","alias_value":"QYIL3NIRRCZ7JOHH","created_at":"2026-07-05T01:29:00.610285+00:00"},{"alias_kind":"pith_short_8","alias_value":"QYIL3NIR","created_at":"2026-07-05T01:29:00.610285+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QYIL3NIRRCZ7JOHHT6CRDAAOA3","json":"https://pith.science/pith/QYIL3NIRRCZ7JOHHT6CRDAAOA3.json","graph_json":"https://pith.science/api/pith-number/QYIL3NIRRCZ7JOHHT6CRDAAOA3/graph.json","events_json":"https://pith.science/api/pith-number/QYIL3NIRRCZ7JOHHT6CRDAAOA3/events.json","paper":"https://pith.science/paper/QYIL3NIR"},"agent_actions":{"view_html":"https://pith.science/pith/QYIL3NIRRCZ7JOHHT6CRDAAOA3","download_json":"https://pith.science/pith/QYIL3NIRRCZ7JOHHT6CRDAAOA3.json","view_paper":"https://pith.science/paper/QYIL3NIR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1908.09307&json=true","fetch_graph":"https://pith.science/api/pith-number/QYIL3NIRRCZ7JOHHT6CRDAAOA3/graph.json","fetch_events":"https://pith.science/api/pith-number/QYIL3NIRRCZ7JOHHT6CRDAAOA3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QYIL3NIRRCZ7JOHHT6CRDAAOA3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QYIL3NIRRCZ7JOHHT6CRDAAOA3/action/storage_attestation","attest_author":"https://pith.science/pith/QYIL3NIRRCZ7JOHHT6CRDAAOA3/action/author_attestation","sign_citation":"https://pith.science/pith/QYIL3NIRRCZ7JOHHT6CRDAAOA3/action/citation_signature","submit_replication":"https://pith.science/pith/QYIL3NIRRCZ7JOHHT6CRDAAOA3/action/replication_record"}},"created_at":"2026-07-05T01:29:00.610285+00:00","updated_at":"2026-07-05T01:29:00.610285+00:00"}