{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:UH237A5WMNQEIVXNTQRRF3LXKV","short_pith_number":"pith:UH237A5W","canonical_record":{"source":{"id":"1303.0398","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-03-02T16:23:00Z","cross_cats_sorted":[],"title_canon_sha256":"9eb75c2337ad0008e18799110c59ce177b096a2d80a3e94bc4014fb8ce3b82af","abstract_canon_sha256":"8dbe7d6d6291ef55c1665b92c2b0010ed7e91d30897c592595cf94b970d98079"},"schema_version":"1.0"},"canonical_sha256":"a1f5bf83b663604456ed9c2312ed77555ce3c73867a831cd38da5c07cb5d7fe3","source":{"kind":"arxiv","id":"1303.0398","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.0398","created_at":"2026-05-18T03:31:56Z"},{"alias_kind":"arxiv_version","alias_value":"1303.0398v1","created_at":"2026-05-18T03:31:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.0398","created_at":"2026-05-18T03:31:56Z"},{"alias_kind":"pith_short_12","alias_value":"UH237A5WMNQE","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UH237A5WMNQEIVXN","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UH237A5W","created_at":"2026-05-18T12:28:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:UH237A5WMNQEIVXNTQRRF3LXKV","target":"record","payload":{"canonical_record":{"source":{"id":"1303.0398","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-03-02T16:23:00Z","cross_cats_sorted":[],"title_canon_sha256":"9eb75c2337ad0008e18799110c59ce177b096a2d80a3e94bc4014fb8ce3b82af","abstract_canon_sha256":"8dbe7d6d6291ef55c1665b92c2b0010ed7e91d30897c592595cf94b970d98079"},"schema_version":"1.0"},"canonical_sha256":"a1f5bf83b663604456ed9c2312ed77555ce3c73867a831cd38da5c07cb5d7fe3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:31:56.211420Z","signature_b64":"T7iWmAoAqt7/aSoMRBl7MvQ+8rGZkro3N6YhGxsixnnoOtkdG0V+LWNeEEujsMoTbzWYL1ZovjOWAhIbsGMSAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a1f5bf83b663604456ed9c2312ed77555ce3c73867a831cd38da5c07cb5d7fe3","last_reissued_at":"2026-05-18T03:31:56.210829Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:31:56.210829Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.0398","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:31:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Sze2uDWscVZY9fTPk4bF6SXvz72XTYoiluA82sApTfHzhRJliTDRC0vutidAHltXEnHNy59p/OX9DKkBbREJAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T23:44:27.564894Z"},"content_sha256":"f1ca890d62dd5ceb1d9f154cdf797520b63c8c6bb7dc4a70f7b6fa6dfcfb152b","schema_version":"1.0","event_id":"sha256:f1ca890d62dd5ceb1d9f154cdf797520b63c8c6bb7dc4a70f7b6fa6dfcfb152b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:UH237A5WMNQEIVXNTQRRF3LXKV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Restricted sum formula and derivation relation for multiple zeta values","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Tatsushi Tanaka","submitted_at":"2013-03-02T16:23:00Z","abstract_excerpt":"Two classes of relations for multiple zeta values are handled algebraically. A restricted sum formula is proved by Eie, Liaw and Ong. The derivation relation is proved by Ihara, Kaneko and Zagier. In this paper we show the latter implies the former."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.0398","kind":"arxiv","version":1},"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":"2026-05-18T03:31:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2laKfLmIUdB0QwRSShsjzz50RzQbmmv6dXcbgmdmzmkgIoqJ/Ho2J1wIiymTpEcau8HGG2SyVR4D9NAbW7eQAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T23:44:27.565231Z"},"content_sha256":"a0010bdad86218135415580540d1593cc35c5efea963d3b025b67bcf149681e2","schema_version":"1.0","event_id":"sha256:a0010bdad86218135415580540d1593cc35c5efea963d3b025b67bcf149681e2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UH237A5WMNQEIVXNTQRRF3LXKV/bundle.json","state_url":"https://pith.science/pith/UH237A5WMNQEIVXNTQRRF3LXKV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UH237A5WMNQEIVXNTQRRF3LXKV/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":"2026-06-22T23:44:27Z","links":{"resolver":"https://pith.science/pith/UH237A5WMNQEIVXNTQRRF3LXKV","bundle":"https://pith.science/pith/UH237A5WMNQEIVXNTQRRF3LXKV/bundle.json","state":"https://pith.science/pith/UH237A5WMNQEIVXNTQRRF3LXKV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UH237A5WMNQEIVXNTQRRF3LXKV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:UH237A5WMNQEIVXNTQRRF3LXKV","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":"8dbe7d6d6291ef55c1665b92c2b0010ed7e91d30897c592595cf94b970d98079","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-03-02T16:23:00Z","title_canon_sha256":"9eb75c2337ad0008e18799110c59ce177b096a2d80a3e94bc4014fb8ce3b82af"},"schema_version":"1.0","source":{"id":"1303.0398","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.0398","created_at":"2026-05-18T03:31:56Z"},{"alias_kind":"arxiv_version","alias_value":"1303.0398v1","created_at":"2026-05-18T03:31:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.0398","created_at":"2026-05-18T03:31:56Z"},{"alias_kind":"pith_short_12","alias_value":"UH237A5WMNQE","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UH237A5WMNQEIVXN","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UH237A5W","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:a0010bdad86218135415580540d1593cc35c5efea963d3b025b67bcf149681e2","target":"graph","created_at":"2026-05-18T03:31:56Z","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":"Two classes of relations for multiple zeta values are handled algebraically. A restricted sum formula is proved by Eie, Liaw and Ong. The derivation relation is proved by Ihara, Kaneko and Zagier. In this paper we show the latter implies the former.","authors_text":"Tatsushi Tanaka","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-03-02T16:23:00Z","title":"Restricted sum formula and derivation relation for multiple zeta values"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.0398","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:f1ca890d62dd5ceb1d9f154cdf797520b63c8c6bb7dc4a70f7b6fa6dfcfb152b","target":"record","created_at":"2026-05-18T03:31:56Z","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":"8dbe7d6d6291ef55c1665b92c2b0010ed7e91d30897c592595cf94b970d98079","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-03-02T16:23:00Z","title_canon_sha256":"9eb75c2337ad0008e18799110c59ce177b096a2d80a3e94bc4014fb8ce3b82af"},"schema_version":"1.0","source":{"id":"1303.0398","kind":"arxiv","version":1}},"canonical_sha256":"a1f5bf83b663604456ed9c2312ed77555ce3c73867a831cd38da5c07cb5d7fe3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a1f5bf83b663604456ed9c2312ed77555ce3c73867a831cd38da5c07cb5d7fe3","first_computed_at":"2026-05-18T03:31:56.210829Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:31:56.210829Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T7iWmAoAqt7/aSoMRBl7MvQ+8rGZkro3N6YhGxsixnnoOtkdG0V+LWNeEEujsMoTbzWYL1ZovjOWAhIbsGMSAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:31:56.211420Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.0398","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f1ca890d62dd5ceb1d9f154cdf797520b63c8c6bb7dc4a70f7b6fa6dfcfb152b","sha256:a0010bdad86218135415580540d1593cc35c5efea963d3b025b67bcf149681e2"],"state_sha256":"a696241632355e50928b16c0d44272647f61859cf9a72efb476863ffd1ad2c7a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Le7djcWmDrFB4YlrYRqw34GQXk6C0n6alg00s41qVEmkY9hkbx5bNrU33rhtfLZcnYEDP95RdULNQ2KLMm/ICA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T23:44:27.567180Z","bundle_sha256":"7a4cd6086971d432b2397ff177a1a610a6f0512021a63fefa68d48b6b3d082f0"}}