{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:LZW72IDPAPG2YR4Q53CAN2NFJ7","short_pith_number":"pith:LZW72IDP","schema_version":"1.0","canonical_sha256":"5e6dfd206f03cdac4790eec406e9a54fc7741039a3ddf507c7b6b4257e42662d","source":{"kind":"arxiv","id":"1410.7036","version":1},"attestation_state":"computed","paper":{"title":"Yet another representation for the sum of reciprocals of the nontrivial zeros of the Riemann zeta-function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Yuri Matiyasevich","submitted_at":"2014-10-26T14:47:32Z","abstract_excerpt":"The positivity of the sum from the title is the first condition in the well-known criterium for the validity of the Riemann Hypothesis suggested by X.-J. Li. In the paper this value is represented as an infinite sum with positive summands."},"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":"1410.7036","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-10-26T14:47:32Z","cross_cats_sorted":[],"title_canon_sha256":"934fae3129dd32187558353f2f603e13220ad5aba3a1f247c222d62582a95305","abstract_canon_sha256":"203d907111205e0edbccb31860b746be0bf333a6b452a4420d619bffecf009ec"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:25:08.225358Z","signature_b64":"POBIPnbKp+TMg/q/9OsjtEVyGYYIqE/fCL18uo0t/Tp4FtqwqQrvElOHaMJGpmNHR5ew+Irbo0jSW2s5Ffg5Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5e6dfd206f03cdac4790eec406e9a54fc7741039a3ddf507c7b6b4257e42662d","last_reissued_at":"2026-07-05T03:25:08.224981Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:25:08.224981Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Yet another representation for the sum of reciprocals of the nontrivial zeros of the Riemann zeta-function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Yuri Matiyasevich","submitted_at":"2014-10-26T14:47:32Z","abstract_excerpt":"The positivity of the sum from the title is the first condition in the well-known criterium for the validity of the Riemann Hypothesis suggested by X.-J. Li. In the paper this value is represented as an infinite sum with positive summands."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.7036","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1410.7036/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":"1410.7036","created_at":"2026-07-05T03:25:08.225038+00:00"},{"alias_kind":"arxiv_version","alias_value":"1410.7036v1","created_at":"2026-07-05T03:25:08.225038+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.7036","created_at":"2026-07-05T03:25:08.225038+00:00"},{"alias_kind":"pith_short_12","alias_value":"LZW72IDPAPG2","created_at":"2026-07-05T03:25:08.225038+00:00"},{"alias_kind":"pith_short_16","alias_value":"LZW72IDPAPG2YR4Q","created_at":"2026-07-05T03:25:08.225038+00:00"},{"alias_kind":"pith_short_8","alias_value":"LZW72IDP","created_at":"2026-07-05T03:25:08.225038+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/LZW72IDPAPG2YR4Q53CAN2NFJ7","json":"https://pith.science/pith/LZW72IDPAPG2YR4Q53CAN2NFJ7.json","graph_json":"https://pith.science/api/pith-number/LZW72IDPAPG2YR4Q53CAN2NFJ7/graph.json","events_json":"https://pith.science/api/pith-number/LZW72IDPAPG2YR4Q53CAN2NFJ7/events.json","paper":"https://pith.science/paper/LZW72IDP"},"agent_actions":{"view_html":"https://pith.science/pith/LZW72IDPAPG2YR4Q53CAN2NFJ7","download_json":"https://pith.science/pith/LZW72IDPAPG2YR4Q53CAN2NFJ7.json","view_paper":"https://pith.science/paper/LZW72IDP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1410.7036&json=true","fetch_graph":"https://pith.science/api/pith-number/LZW72IDPAPG2YR4Q53CAN2NFJ7/graph.json","fetch_events":"https://pith.science/api/pith-number/LZW72IDPAPG2YR4Q53CAN2NFJ7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LZW72IDPAPG2YR4Q53CAN2NFJ7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LZW72IDPAPG2YR4Q53CAN2NFJ7/action/storage_attestation","attest_author":"https://pith.science/pith/LZW72IDPAPG2YR4Q53CAN2NFJ7/action/author_attestation","sign_citation":"https://pith.science/pith/LZW72IDPAPG2YR4Q53CAN2NFJ7/action/citation_signature","submit_replication":"https://pith.science/pith/LZW72IDPAPG2YR4Q53CAN2NFJ7/action/replication_record"}},"created_at":"2026-07-05T03:25:08.225038+00:00","updated_at":"2026-07-05T03:25:08.225038+00:00"}