{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:4FZWB6D2T2XF7DGZMQFE6AQRC5","short_pith_number":"pith:4FZWB6D2","schema_version":"1.0","canonical_sha256":"e17360f87a9eae5f8cd9640a4f0211177604e1a006d1bc462e736b215c0167a7","source":{"kind":"arxiv","id":"1502.07600","version":1},"attestation_state":"computed","paper":{"title":"Factorization of Motion Polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.RO"],"primary_cat":"cs.SC","authors_text":"Hans-Peter Schr\\\"ocker, Josef Schicho, Zijia Li","submitted_at":"2015-02-26T15:42:46Z","abstract_excerpt":"In this paper, we consider the existence of a factorization of a monic, bounded motion polynomial. We prove existence of factorizations, possibly after multiplication with a real polynomial and provide algorithms for computing polynomial factor and factorizations. The first algorithm is conceptually simpler but may require a high degree of the polynomial factor. The second algorithm gives an optimal degree."},"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":"1502.07600","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SC","submitted_at":"2015-02-26T15:42:46Z","cross_cats_sorted":["cs.RO"],"title_canon_sha256":"5f75a4cbd7c72e9a48c98e9851d5d0025d44e9d0a4090c41ed7b681d6b13c561","abstract_canon_sha256":"65c02218aad8d7b0aae6d159079ed6174269fddec2a364849bd4f59c696d9f39"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:26:03.302011Z","signature_b64":"a8tAh2oWzJj+41h/ekoOCd1fy7wnnre25LBQE9uY3hgFq+fVFou5WftqMnjxhwZSIN/yRUGDh4+iNtapZ89XDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e17360f87a9eae5f8cd9640a4f0211177604e1a006d1bc462e736b215c0167a7","last_reissued_at":"2026-05-18T02:26:03.301601Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:26:03.301601Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Factorization of Motion Polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.RO"],"primary_cat":"cs.SC","authors_text":"Hans-Peter Schr\\\"ocker, Josef Schicho, Zijia Li","submitted_at":"2015-02-26T15:42:46Z","abstract_excerpt":"In this paper, we consider the existence of a factorization of a monic, bounded motion polynomial. We prove existence of factorizations, possibly after multiplication with a real polynomial and provide algorithms for computing polynomial factor and factorizations. The first algorithm is conceptually simpler but may require a high degree of the polynomial factor. The second algorithm gives an optimal degree."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.07600","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":"1502.07600","created_at":"2026-05-18T02:26:03.301664+00:00"},{"alias_kind":"arxiv_version","alias_value":"1502.07600v1","created_at":"2026-05-18T02:26:03.301664+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.07600","created_at":"2026-05-18T02:26:03.301664+00:00"},{"alias_kind":"pith_short_12","alias_value":"4FZWB6D2T2XF","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_16","alias_value":"4FZWB6D2T2XF7DGZ","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_8","alias_value":"4FZWB6D2","created_at":"2026-05-18T12:29:05.191682+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/4FZWB6D2T2XF7DGZMQFE6AQRC5","json":"https://pith.science/pith/4FZWB6D2T2XF7DGZMQFE6AQRC5.json","graph_json":"https://pith.science/api/pith-number/4FZWB6D2T2XF7DGZMQFE6AQRC5/graph.json","events_json":"https://pith.science/api/pith-number/4FZWB6D2T2XF7DGZMQFE6AQRC5/events.json","paper":"https://pith.science/paper/4FZWB6D2"},"agent_actions":{"view_html":"https://pith.science/pith/4FZWB6D2T2XF7DGZMQFE6AQRC5","download_json":"https://pith.science/pith/4FZWB6D2T2XF7DGZMQFE6AQRC5.json","view_paper":"https://pith.science/paper/4FZWB6D2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1502.07600&json=true","fetch_graph":"https://pith.science/api/pith-number/4FZWB6D2T2XF7DGZMQFE6AQRC5/graph.json","fetch_events":"https://pith.science/api/pith-number/4FZWB6D2T2XF7DGZMQFE6AQRC5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4FZWB6D2T2XF7DGZMQFE6AQRC5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4FZWB6D2T2XF7DGZMQFE6AQRC5/action/storage_attestation","attest_author":"https://pith.science/pith/4FZWB6D2T2XF7DGZMQFE6AQRC5/action/author_attestation","sign_citation":"https://pith.science/pith/4FZWB6D2T2XF7DGZMQFE6AQRC5/action/citation_signature","submit_replication":"https://pith.science/pith/4FZWB6D2T2XF7DGZMQFE6AQRC5/action/replication_record"}},"created_at":"2026-05-18T02:26:03.301664+00:00","updated_at":"2026-05-18T02:26:03.301664+00:00"}