{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:CU5QRLAS4FLPDWUGNX5WTE6R4G","short_pith_number":"pith:CU5QRLAS","schema_version":"1.0","canonical_sha256":"153b08ac12e156f1da866dfb6993d1e1adef72f02e85cbc348f94b75f991d443","source":{"kind":"arxiv","id":"1907.10056","version":1},"attestation_state":"computed","paper":{"title":"Extensions of the Cosine-Sine functional equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Elhoucien Elqorachi, Omar Ajebbar","submitted_at":"2019-07-23T12:39:14Z","abstract_excerpt":"The aim of the present paper is to give extensions of the cosine-sine functional equation."},"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":"1907.10056","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-07-23T12:39:14Z","cross_cats_sorted":[],"title_canon_sha256":"6bc3fd811d03294f5368e41b989a05b6c1c8ce8ac52b316675eadc6890163cc4","abstract_canon_sha256":"753a44b34077bbda0f24a80e5c5b1bedec8d4d34a259403261b35caacf2f9dc2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:39:39.117840Z","signature_b64":"yhSAF7YScwFf2psylbuW84+ZHeo4NXESbMN3ZBG+rdGcsiVBhGMY/CfmhJMgSBm1NnLkf74kQxVVa3pziZ2KAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"153b08ac12e156f1da866dfb6993d1e1adef72f02e85cbc348f94b75f991d443","last_reissued_at":"2026-05-17T23:39:39.117161Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:39:39.117161Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Extensions of the Cosine-Sine functional equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Elhoucien Elqorachi, Omar Ajebbar","submitted_at":"2019-07-23T12:39:14Z","abstract_excerpt":"The aim of the present paper is to give extensions of the cosine-sine functional equation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.10056","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":"1907.10056","created_at":"2026-05-17T23:39:39.117282+00:00"},{"alias_kind":"arxiv_version","alias_value":"1907.10056v1","created_at":"2026-05-17T23:39:39.117282+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.10056","created_at":"2026-05-17T23:39:39.117282+00:00"},{"alias_kind":"pith_short_12","alias_value":"CU5QRLAS4FLP","created_at":"2026-05-18T12:33:15.570797+00:00"},{"alias_kind":"pith_short_16","alias_value":"CU5QRLAS4FLPDWUG","created_at":"2026-05-18T12:33:15.570797+00:00"},{"alias_kind":"pith_short_8","alias_value":"CU5QRLAS","created_at":"2026-05-18T12:33:15.570797+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/CU5QRLAS4FLPDWUGNX5WTE6R4G","json":"https://pith.science/pith/CU5QRLAS4FLPDWUGNX5WTE6R4G.json","graph_json":"https://pith.science/api/pith-number/CU5QRLAS4FLPDWUGNX5WTE6R4G/graph.json","events_json":"https://pith.science/api/pith-number/CU5QRLAS4FLPDWUGNX5WTE6R4G/events.json","paper":"https://pith.science/paper/CU5QRLAS"},"agent_actions":{"view_html":"https://pith.science/pith/CU5QRLAS4FLPDWUGNX5WTE6R4G","download_json":"https://pith.science/pith/CU5QRLAS4FLPDWUGNX5WTE6R4G.json","view_paper":"https://pith.science/paper/CU5QRLAS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1907.10056&json=true","fetch_graph":"https://pith.science/api/pith-number/CU5QRLAS4FLPDWUGNX5WTE6R4G/graph.json","fetch_events":"https://pith.science/api/pith-number/CU5QRLAS4FLPDWUGNX5WTE6R4G/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CU5QRLAS4FLPDWUGNX5WTE6R4G/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CU5QRLAS4FLPDWUGNX5WTE6R4G/action/storage_attestation","attest_author":"https://pith.science/pith/CU5QRLAS4FLPDWUGNX5WTE6R4G/action/author_attestation","sign_citation":"https://pith.science/pith/CU5QRLAS4FLPDWUGNX5WTE6R4G/action/citation_signature","submit_replication":"https://pith.science/pith/CU5QRLAS4FLPDWUGNX5WTE6R4G/action/replication_record"}},"created_at":"2026-05-17T23:39:39.117282+00:00","updated_at":"2026-05-17T23:39:39.117282+00:00"}