{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:TL7QGJCL3NCYUN3B4NRG3HH65L","short_pith_number":"pith:TL7QGJCL","schema_version":"1.0","canonical_sha256":"9aff03244bdb458a3761e3626d9cfeead19158d68faa3260ed99b479a7904c66","source":{"kind":"arxiv","id":"1606.03845","version":1},"attestation_state":"computed","paper":{"title":"The ternary Goldbach problem with a prime and two isolated primes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Helmut Maier, Michael Th. Rassias","submitted_at":"2016-06-13T07:37:06Z","abstract_excerpt":"In the present paper we prove that under the assumption of the GRH (Generalized Riemann Hypothesis) each sufficiently large odd integer can be expressed as the sum of a prime and two isolated primes."},"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":"1606.03845","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-06-13T07:37:06Z","cross_cats_sorted":[],"title_canon_sha256":"b0d020a9d72387c723bed0f01ded4f71c26e1a33fa66fa5dc584ccad50bea2d5","abstract_canon_sha256":"c03d58b6b76ef4017de8d9c5b6f75e6632a1c76a8ca790293aee1f3ab5ea7be0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:32.920599Z","signature_b64":"xdSvJvJx0C/8sQdEakGQiNLcsC3JAvN3EMka+e0BjupYHacqh4dQHP0Mw4tapUfJ9lio0yAWloK2gM1sSsA4DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9aff03244bdb458a3761e3626d9cfeead19158d68faa3260ed99b479a7904c66","last_reissued_at":"2026-05-18T01:12:32.920148Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:32.920148Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The ternary Goldbach problem with a prime and two isolated primes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Helmut Maier, Michael Th. Rassias","submitted_at":"2016-06-13T07:37:06Z","abstract_excerpt":"In the present paper we prove that under the assumption of the GRH (Generalized Riemann Hypothesis) each sufficiently large odd integer can be expressed as the sum of a prime and two isolated primes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.03845","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1606.03845","created_at":"2026-05-18T01:12:32.920219+00:00"},{"alias_kind":"arxiv_version","alias_value":"1606.03845v1","created_at":"2026-05-18T01:12:32.920219+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.03845","created_at":"2026-05-18T01:12:32.920219+00:00"},{"alias_kind":"pith_short_12","alias_value":"TL7QGJCL3NCY","created_at":"2026-05-18T12:30:44.179134+00:00"},{"alias_kind":"pith_short_16","alias_value":"TL7QGJCL3NCYUN3B","created_at":"2026-05-18T12:30:44.179134+00:00"},{"alias_kind":"pith_short_8","alias_value":"TL7QGJCL","created_at":"2026-05-18T12:30:44.179134+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/TL7QGJCL3NCYUN3B4NRG3HH65L","json":"https://pith.science/pith/TL7QGJCL3NCYUN3B4NRG3HH65L.json","graph_json":"https://pith.science/api/pith-number/TL7QGJCL3NCYUN3B4NRG3HH65L/graph.json","events_json":"https://pith.science/api/pith-number/TL7QGJCL3NCYUN3B4NRG3HH65L/events.json","paper":"https://pith.science/paper/TL7QGJCL"},"agent_actions":{"view_html":"https://pith.science/pith/TL7QGJCL3NCYUN3B4NRG3HH65L","download_json":"https://pith.science/pith/TL7QGJCL3NCYUN3B4NRG3HH65L.json","view_paper":"https://pith.science/paper/TL7QGJCL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1606.03845&json=true","fetch_graph":"https://pith.science/api/pith-number/TL7QGJCL3NCYUN3B4NRG3HH65L/graph.json","fetch_events":"https://pith.science/api/pith-number/TL7QGJCL3NCYUN3B4NRG3HH65L/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TL7QGJCL3NCYUN3B4NRG3HH65L/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TL7QGJCL3NCYUN3B4NRG3HH65L/action/storage_attestation","attest_author":"https://pith.science/pith/TL7QGJCL3NCYUN3B4NRG3HH65L/action/author_attestation","sign_citation":"https://pith.science/pith/TL7QGJCL3NCYUN3B4NRG3HH65L/action/citation_signature","submit_replication":"https://pith.science/pith/TL7QGJCL3NCYUN3B4NRG3HH65L/action/replication_record"}},"created_at":"2026-05-18T01:12:32.920219+00:00","updated_at":"2026-05-18T01:12:32.920219+00:00"}