{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:2ZY33JJRRQU7E4SOBUYLKP25IC","short_pith_number":"pith:2ZY33JJR","schema_version":"1.0","canonical_sha256":"d671bda5318c29f2724e0d30b53f5d40bb46c2e0f12e6961da4d6626afd5e783","source":{"kind":"arxiv","id":"1704.04877","version":3},"attestation_state":"computed","paper":{"title":"Least square ellipsoid fitting using iterative orthogonal transformations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CV","authors_text":"Amit Reza, Anand S. Sengupta","submitted_at":"2017-04-17T05:44:05Z","abstract_excerpt":"We describe a generalised method for ellipsoid fitting against a minimum set of data points. The proposed method is numerically stable and applies to a wide range of ellipsoidal shapes, including highly elongated and arbitrarily oriented ellipsoids. This new method also provides for the retrieval of rotational angle and length of semi-axes of the fitted ellipsoids accurately. We demonstrate the efficacy of this algorithm on simulated data sets and also indicate its potential use in gravitational wave data analysis."},"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":"1704.04877","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2017-04-17T05:44:05Z","cross_cats_sorted":[],"title_canon_sha256":"2eeff45ecf4ff25e45f0ac7215b93c728b7772412156d9eb7274c29eaad809ef","abstract_canon_sha256":"40ed238b0127042a172fe400ffcc55acd891f77e0780c8beb174f3db7d424ed3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:39:35.794373Z","signature_b64":"rMI5RZLcYVQLw/P91KNPW5C8IxvGwqcSfAYUHebqiKacDV4ZZ7LbUHGSwCcRKA/i8tChcfdeCq3A3v+5NXlgAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d671bda5318c29f2724e0d30b53f5d40bb46c2e0f12e6961da4d6626afd5e783","last_reissued_at":"2026-05-18T00:39:35.793711Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:39:35.793711Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Least square ellipsoid fitting using iterative orthogonal transformations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CV","authors_text":"Amit Reza, Anand S. Sengupta","submitted_at":"2017-04-17T05:44:05Z","abstract_excerpt":"We describe a generalised method for ellipsoid fitting against a minimum set of data points. The proposed method is numerically stable and applies to a wide range of ellipsoidal shapes, including highly elongated and arbitrarily oriented ellipsoids. This new method also provides for the retrieval of rotational angle and length of semi-axes of the fitted ellipsoids accurately. We demonstrate the efficacy of this algorithm on simulated data sets and also indicate its potential use in gravitational wave data analysis."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.04877","kind":"arxiv","version":3},"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":"1704.04877","created_at":"2026-05-18T00:39:35.793823+00:00"},{"alias_kind":"arxiv_version","alias_value":"1704.04877v3","created_at":"2026-05-18T00:39:35.793823+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.04877","created_at":"2026-05-18T00:39:35.793823+00:00"},{"alias_kind":"pith_short_12","alias_value":"2ZY33JJRRQU7","created_at":"2026-05-18T12:30:55.937587+00:00"},{"alias_kind":"pith_short_16","alias_value":"2ZY33JJRRQU7E4SO","created_at":"2026-05-18T12:30:55.937587+00:00"},{"alias_kind":"pith_short_8","alias_value":"2ZY33JJR","created_at":"2026-05-18T12:30:55.937587+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/2ZY33JJRRQU7E4SOBUYLKP25IC","json":"https://pith.science/pith/2ZY33JJRRQU7E4SOBUYLKP25IC.json","graph_json":"https://pith.science/api/pith-number/2ZY33JJRRQU7E4SOBUYLKP25IC/graph.json","events_json":"https://pith.science/api/pith-number/2ZY33JJRRQU7E4SOBUYLKP25IC/events.json","paper":"https://pith.science/paper/2ZY33JJR"},"agent_actions":{"view_html":"https://pith.science/pith/2ZY33JJRRQU7E4SOBUYLKP25IC","download_json":"https://pith.science/pith/2ZY33JJRRQU7E4SOBUYLKP25IC.json","view_paper":"https://pith.science/paper/2ZY33JJR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1704.04877&json=true","fetch_graph":"https://pith.science/api/pith-number/2ZY33JJRRQU7E4SOBUYLKP25IC/graph.json","fetch_events":"https://pith.science/api/pith-number/2ZY33JJRRQU7E4SOBUYLKP25IC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2ZY33JJRRQU7E4SOBUYLKP25IC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2ZY33JJRRQU7E4SOBUYLKP25IC/action/storage_attestation","attest_author":"https://pith.science/pith/2ZY33JJRRQU7E4SOBUYLKP25IC/action/author_attestation","sign_citation":"https://pith.science/pith/2ZY33JJRRQU7E4SOBUYLKP25IC/action/citation_signature","submit_replication":"https://pith.science/pith/2ZY33JJRRQU7E4SOBUYLKP25IC/action/replication_record"}},"created_at":"2026-05-18T00:39:35.793823+00:00","updated_at":"2026-05-18T00:39:35.793823+00:00"}