{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:RSRQK3JMYSQY3HBGVGNPU56BMY","short_pith_number":"pith:RSRQK3JM","canonical_record":{"source":{"id":"1612.04071","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-12-13T09:21:10Z","cross_cats_sorted":[],"title_canon_sha256":"be4f347fce1d47ace52a13420f35c7d2301d8b0dfb63458e49d15209dbee1cd1","abstract_canon_sha256":"2972ab1d9b5baa26d886061c7ae1c13e21d2138ee07c95398b20164fb73e0ddd"},"schema_version":"1.0"},"canonical_sha256":"8ca3056d2cc4a18d9c26a99afa77c1662aa79b2f3e08d846bbbf25d99922285d","source":{"kind":"arxiv","id":"1612.04071","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.04071","created_at":"2026-05-18T00:30:46Z"},{"alias_kind":"arxiv_version","alias_value":"1612.04071v2","created_at":"2026-05-18T00:30:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.04071","created_at":"2026-05-18T00:30:46Z"},{"alias_kind":"pith_short_12","alias_value":"RSRQK3JMYSQY","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RSRQK3JMYSQY3HBG","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RSRQK3JM","created_at":"2026-05-18T12:30:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:RSRQK3JMYSQY3HBGVGNPU56BMY","target":"record","payload":{"canonical_record":{"source":{"id":"1612.04071","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-12-13T09:21:10Z","cross_cats_sorted":[],"title_canon_sha256":"be4f347fce1d47ace52a13420f35c7d2301d8b0dfb63458e49d15209dbee1cd1","abstract_canon_sha256":"2972ab1d9b5baa26d886061c7ae1c13e21d2138ee07c95398b20164fb73e0ddd"},"schema_version":"1.0"},"canonical_sha256":"8ca3056d2cc4a18d9c26a99afa77c1662aa79b2f3e08d846bbbf25d99922285d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:30:46.346984Z","signature_b64":"XmxEEglilByfAtBuok1dKPudBnvBovX5muGbwTwTfCG13quXWvX9sqbHVH+BiWuPNa5xNDsv1SY/7bAGwp/NAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8ca3056d2cc4a18d9c26a99afa77c1662aa79b2f3e08d846bbbf25d99922285d","last_reissued_at":"2026-05-18T00:30:46.346340Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:30:46.346340Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.04071","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:30:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Sa7/ze1zubRhTAZX5kukyDHGMJs/PYwDd+iMMiDlbmZdqIQz/qhAI9tEpisNlgvO8SMqOCjDy6dj4dPMVnrNBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T05:41:06.909362Z"},"content_sha256":"4572aafec9da90082262e87d5246416577b0fdf5073cbc00019e961785e3ab2d","schema_version":"1.0","event_id":"sha256:4572aafec9da90082262e87d5246416577b0fdf5073cbc00019e961785e3ab2d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:RSRQK3JMYSQY3HBGVGNPU56BMY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On multiple zeta values and finite multiple zeta values of maximal height","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Hideki Murahara, Mika Sakata","submitted_at":"2016-12-13T09:21:10Z","abstract_excerpt":"An explicit formula for the height-one multiple zeta values was proved by Kaneko and the second author. We give an alternative proof of this result and its generalization. We also prove its counterpart for the finite multiple zeta values."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.04071","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:30:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VHyIsqYmkRw5SH/bBBpPdq4kGZBdIiINWmNsh+Q1v+NnyamXxIFOxA+/QF93vF5yMP/BgUsfqdNNvDrT0/I5AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T05:41:06.910042Z"},"content_sha256":"05059ec0e4403f70ea819dfe180fb1102a3546c99945ecb6992b0e852c5d8750","schema_version":"1.0","event_id":"sha256:05059ec0e4403f70ea819dfe180fb1102a3546c99945ecb6992b0e852c5d8750"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RSRQK3JMYSQY3HBGVGNPU56BMY/bundle.json","state_url":"https://pith.science/pith/RSRQK3JMYSQY3HBGVGNPU56BMY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RSRQK3JMYSQY3HBGVGNPU56BMY/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-07T05:41:06Z","links":{"resolver":"https://pith.science/pith/RSRQK3JMYSQY3HBGVGNPU56BMY","bundle":"https://pith.science/pith/RSRQK3JMYSQY3HBGVGNPU56BMY/bundle.json","state":"https://pith.science/pith/RSRQK3JMYSQY3HBGVGNPU56BMY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RSRQK3JMYSQY3HBGVGNPU56BMY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:RSRQK3JMYSQY3HBGVGNPU56BMY","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":"2972ab1d9b5baa26d886061c7ae1c13e21d2138ee07c95398b20164fb73e0ddd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-12-13T09:21:10Z","title_canon_sha256":"be4f347fce1d47ace52a13420f35c7d2301d8b0dfb63458e49d15209dbee1cd1"},"schema_version":"1.0","source":{"id":"1612.04071","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.04071","created_at":"2026-05-18T00:30:46Z"},{"alias_kind":"arxiv_version","alias_value":"1612.04071v2","created_at":"2026-05-18T00:30:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.04071","created_at":"2026-05-18T00:30:46Z"},{"alias_kind":"pith_short_12","alias_value":"RSRQK3JMYSQY","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RSRQK3JMYSQY3HBG","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RSRQK3JM","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:05059ec0e4403f70ea819dfe180fb1102a3546c99945ecb6992b0e852c5d8750","target":"graph","created_at":"2026-05-18T00:30:46Z","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":"An explicit formula for the height-one multiple zeta values was proved by Kaneko and the second author. We give an alternative proof of this result and its generalization. We also prove its counterpart for the finite multiple zeta values.","authors_text":"Hideki Murahara, Mika Sakata","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-12-13T09:21:10Z","title":"On multiple zeta values and finite multiple zeta values of maximal height"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.04071","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":"sha256:4572aafec9da90082262e87d5246416577b0fdf5073cbc00019e961785e3ab2d","target":"record","created_at":"2026-05-18T00:30:46Z","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":"2972ab1d9b5baa26d886061c7ae1c13e21d2138ee07c95398b20164fb73e0ddd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-12-13T09:21:10Z","title_canon_sha256":"be4f347fce1d47ace52a13420f35c7d2301d8b0dfb63458e49d15209dbee1cd1"},"schema_version":"1.0","source":{"id":"1612.04071","kind":"arxiv","version":2}},"canonical_sha256":"8ca3056d2cc4a18d9c26a99afa77c1662aa79b2f3e08d846bbbf25d99922285d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8ca3056d2cc4a18d9c26a99afa77c1662aa79b2f3e08d846bbbf25d99922285d","first_computed_at":"2026-05-18T00:30:46.346340Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:30:46.346340Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XmxEEglilByfAtBuok1dKPudBnvBovX5muGbwTwTfCG13quXWvX9sqbHVH+BiWuPNa5xNDsv1SY/7bAGwp/NAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:30:46.346984Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.04071","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4572aafec9da90082262e87d5246416577b0fdf5073cbc00019e961785e3ab2d","sha256:05059ec0e4403f70ea819dfe180fb1102a3546c99945ecb6992b0e852c5d8750"],"state_sha256":"c674b284d20353722028df4e62e7c96069dcf06057287636505cc146505b665a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ipj/cQqPzmRGTIeWCcP404RHfG3jWUlK4QDnn/TnRC6HIxP2Dj1Ta3vLIS011wylewOP+zI0q029gjHeRRMuAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T05:41:06.913462Z","bundle_sha256":"b33ca6dd77a2b2fd9ed4d6f7449f5478aba917a62c8c7d3b85f61e2b0b569178"}}