{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:3WSFLA5G2T5ZIC3OVCNWXMLCSA","short_pith_number":"pith:3WSFLA5G","schema_version":"1.0","canonical_sha256":"dda45583a6d4fb940b6ea89b6bb162902cb7da8f6e50e2772fff5766c696754c","source":{"kind":"arxiv","id":"1203.1947","version":1},"attestation_state":"computed","paper":{"title":"Linear analysis of the 4-step Carr\\'e phase shifting algorithm: spectrum, signal-to-noise ratio, and harmonics response","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Adonai Gonzalez, Manuel Servin","submitted_at":"2012-03-08T22:14:13Z","abstract_excerpt":"We analyze the nonlinear Carr\\'e 4-steps algorithm including its frequency response, signal-to-noise ratio, and harmonics rejection using linear systems theory. At first sight the previous statement as well as the title of this paper seems paradoxical. How can we analyze the 4-step non-linear Carr\\'e Phase Shifting Algorithm (PSA) using linear system theory? The short answer is that the non-linear Carr\\'e algorithm may be decomposed into two building blocks. The first block is a tunable linear 4-step PSA, and the second one is a non-linear phase-step estimator. Although this fact is well known"},"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":"1203.1947","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2012-03-08T22:14:13Z","cross_cats_sorted":[],"title_canon_sha256":"88509eb8683acd326be44ad07b61b32c478c6467347d29b4ef2e73b20a158987","abstract_canon_sha256":"ad66eca6b3e93bb26d0095572af220912045804f8d9271e45bbe8671b85e4f93"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:00:27.932646Z","signature_b64":"NlyORdiVbY9ipcJ69uJyn+upIwZBMa2AvHkrqNTu2BodRjLzvZVImtktFei3uQAwWkgkUvNGY7WPWOzTcDKHBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dda45583a6d4fb940b6ea89b6bb162902cb7da8f6e50e2772fff5766c696754c","last_reissued_at":"2026-05-18T04:00:27.931856Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:00:27.931856Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Linear analysis of the 4-step Carr\\'e phase shifting algorithm: spectrum, signal-to-noise ratio, and harmonics response","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Adonai Gonzalez, Manuel Servin","submitted_at":"2012-03-08T22:14:13Z","abstract_excerpt":"We analyze the nonlinear Carr\\'e 4-steps algorithm including its frequency response, signal-to-noise ratio, and harmonics rejection using linear systems theory. At first sight the previous statement as well as the title of this paper seems paradoxical. How can we analyze the 4-step non-linear Carr\\'e Phase Shifting Algorithm (PSA) using linear system theory? The short answer is that the non-linear Carr\\'e algorithm may be decomposed into two building blocks. The first block is a tunable linear 4-step PSA, and the second one is a non-linear phase-step estimator. Although this fact is well known"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.1947","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":"1203.1947","created_at":"2026-05-18T04:00:27.932178+00:00"},{"alias_kind":"arxiv_version","alias_value":"1203.1947v1","created_at":"2026-05-18T04:00:27.932178+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.1947","created_at":"2026-05-18T04:00:27.932178+00:00"},{"alias_kind":"pith_short_12","alias_value":"3WSFLA5G2T5Z","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_16","alias_value":"3WSFLA5G2T5ZIC3O","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_8","alias_value":"3WSFLA5G","created_at":"2026-05-18T12:26:53.410803+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/3WSFLA5G2T5ZIC3OVCNWXMLCSA","json":"https://pith.science/pith/3WSFLA5G2T5ZIC3OVCNWXMLCSA.json","graph_json":"https://pith.science/api/pith-number/3WSFLA5G2T5ZIC3OVCNWXMLCSA/graph.json","events_json":"https://pith.science/api/pith-number/3WSFLA5G2T5ZIC3OVCNWXMLCSA/events.json","paper":"https://pith.science/paper/3WSFLA5G"},"agent_actions":{"view_html":"https://pith.science/pith/3WSFLA5G2T5ZIC3OVCNWXMLCSA","download_json":"https://pith.science/pith/3WSFLA5G2T5ZIC3OVCNWXMLCSA.json","view_paper":"https://pith.science/paper/3WSFLA5G","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1203.1947&json=true","fetch_graph":"https://pith.science/api/pith-number/3WSFLA5G2T5ZIC3OVCNWXMLCSA/graph.json","fetch_events":"https://pith.science/api/pith-number/3WSFLA5G2T5ZIC3OVCNWXMLCSA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3WSFLA5G2T5ZIC3OVCNWXMLCSA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3WSFLA5G2T5ZIC3OVCNWXMLCSA/action/storage_attestation","attest_author":"https://pith.science/pith/3WSFLA5G2T5ZIC3OVCNWXMLCSA/action/author_attestation","sign_citation":"https://pith.science/pith/3WSFLA5G2T5ZIC3OVCNWXMLCSA/action/citation_signature","submit_replication":"https://pith.science/pith/3WSFLA5G2T5ZIC3OVCNWXMLCSA/action/replication_record"}},"created_at":"2026-05-18T04:00:27.932178+00:00","updated_at":"2026-05-18T04:00:27.932178+00:00"}