{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:6HJIHM4GSD4U7CUYJBAGV77QE7","short_pith_number":"pith:6HJIHM4G","schema_version":"1.0","canonical_sha256":"f1d283b38690f94f8a9848406afff027e45dda1487b33124d0d4701930e2f846","source":{"kind":"arxiv","id":"1411.5498","version":2},"attestation_state":"computed","paper":{"title":"A hyperbolic analog of the phasor addition formula","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.class-ph"],"primary_cat":"math.CA","authors_text":"F. Adri\\'an F. Tojo","submitted_at":"2014-11-20T10:45:15Z","abstract_excerpt":"In this article we review the basics of the phasor formalism in a rigorous way, highlighting the physical motivation behind it and presenting a hyperbolic counterpart of the phasor addition formula."},"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":"1411.5498","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-11-20T10:45:15Z","cross_cats_sorted":["physics.class-ph"],"title_canon_sha256":"a9823d8ae34cd9d948556d3439589c537cae1da60ab526684247a56a3c53159f","abstract_canon_sha256":"526ab1d3a90571b443c2cade89df80736ec2020e286e7afe81333f3ec975ec48"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:10.010704Z","signature_b64":"UKnaC+sfHSk98NRamsMg9Sk2mnvweGK2s64WZW9WfTVFRdMtNMvke3+lrPMMDjm+R/RQNtXDD8eCd62S9iBlDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f1d283b38690f94f8a9848406afff027e45dda1487b33124d0d4701930e2f846","last_reissued_at":"2026-05-18T00:50:10.010128Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:10.010128Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A hyperbolic analog of the phasor addition formula","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.class-ph"],"primary_cat":"math.CA","authors_text":"F. Adri\\'an F. Tojo","submitted_at":"2014-11-20T10:45:15Z","abstract_excerpt":"In this article we review the basics of the phasor formalism in a rigorous way, highlighting the physical motivation behind it and presenting a hyperbolic counterpart of the phasor addition formula."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.5498","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1411.5498","created_at":"2026-05-18T00:50:10.010206+00:00"},{"alias_kind":"arxiv_version","alias_value":"1411.5498v2","created_at":"2026-05-18T00:50:10.010206+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.5498","created_at":"2026-05-18T00:50:10.010206+00:00"},{"alias_kind":"pith_short_12","alias_value":"6HJIHM4GSD4U","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_16","alias_value":"6HJIHM4GSD4U7CUY","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_8","alias_value":"6HJIHM4G","created_at":"2026-05-18T12:28:16.859392+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/6HJIHM4GSD4U7CUYJBAGV77QE7","json":"https://pith.science/pith/6HJIHM4GSD4U7CUYJBAGV77QE7.json","graph_json":"https://pith.science/api/pith-number/6HJIHM4GSD4U7CUYJBAGV77QE7/graph.json","events_json":"https://pith.science/api/pith-number/6HJIHM4GSD4U7CUYJBAGV77QE7/events.json","paper":"https://pith.science/paper/6HJIHM4G"},"agent_actions":{"view_html":"https://pith.science/pith/6HJIHM4GSD4U7CUYJBAGV77QE7","download_json":"https://pith.science/pith/6HJIHM4GSD4U7CUYJBAGV77QE7.json","view_paper":"https://pith.science/paper/6HJIHM4G","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1411.5498&json=true","fetch_graph":"https://pith.science/api/pith-number/6HJIHM4GSD4U7CUYJBAGV77QE7/graph.json","fetch_events":"https://pith.science/api/pith-number/6HJIHM4GSD4U7CUYJBAGV77QE7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6HJIHM4GSD4U7CUYJBAGV77QE7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6HJIHM4GSD4U7CUYJBAGV77QE7/action/storage_attestation","attest_author":"https://pith.science/pith/6HJIHM4GSD4U7CUYJBAGV77QE7/action/author_attestation","sign_citation":"https://pith.science/pith/6HJIHM4GSD4U7CUYJBAGV77QE7/action/citation_signature","submit_replication":"https://pith.science/pith/6HJIHM4GSD4U7CUYJBAGV77QE7/action/replication_record"}},"created_at":"2026-05-18T00:50:10.010206+00:00","updated_at":"2026-05-18T00:50:10.010206+00:00"}