{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:HDI62G4A3OKLZ7EC3WZUIYT72B","short_pith_number":"pith:HDI62G4A","schema_version":"1.0","canonical_sha256":"38d1ed1b80db94bcfc82ddb344627fd0601f7941beaadfeb5a44f68b223b1532","source":{"kind":"arxiv","id":"1902.00105","version":1},"attestation_state":"computed","paper":{"title":"Geometric Interpretation of side-sharing and point-sharing solutions in the P3P Problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CV","authors_text":"Bo Wang, Caixia Zhang, Hao Hu","submitted_at":"2019-01-29T18:41:34Z","abstract_excerpt":"It is well known that the P3P problem could have 1, 2, 3 and at most 4 positive solutions under different configurations among its 3 control points and the position of the optical center. Since in any real applications, the knowledge on the exact number of possible solutions is a prerequisite for selecting the right one among all the possible solutions, the study on the phenomenon of multiple solutions in the P3P problem has been an active topic . In this work, we provide some new geometric interpretations on the multi-solution phenomenon in the P3P problem, our main results include: (1): The "},"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":"1902.00105","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2019-01-29T18:41:34Z","cross_cats_sorted":[],"title_canon_sha256":"e9b9326fc1be4e475555cf481f21a706e6ec73c980cad0d19031d13abc4f4507","abstract_canon_sha256":"7619bf4d65b34862a049d225eaa5acc2a484b60697161651c62f9e52a0b04fa1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:58.248111Z","signature_b64":"SNmf3YxPhImzL/CUT72ij62ihLmHc12XgZljuVuPuVAGbgoMO8/POX87nrdSSak0imlAjH0ta4HhCmsOS3oqBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"38d1ed1b80db94bcfc82ddb344627fd0601f7941beaadfeb5a44f68b223b1532","last_reissued_at":"2026-05-17T23:54:58.247579Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:58.247579Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Geometric Interpretation of side-sharing and point-sharing solutions in the P3P Problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CV","authors_text":"Bo Wang, Caixia Zhang, Hao Hu","submitted_at":"2019-01-29T18:41:34Z","abstract_excerpt":"It is well known that the P3P problem could have 1, 2, 3 and at most 4 positive solutions under different configurations among its 3 control points and the position of the optical center. Since in any real applications, the knowledge on the exact number of possible solutions is a prerequisite for selecting the right one among all the possible solutions, the study on the phenomenon of multiple solutions in the P3P problem has been an active topic . In this work, we provide some new geometric interpretations on the multi-solution phenomenon in the P3P problem, our main results include: (1): The "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.00105","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":"1902.00105","created_at":"2026-05-17T23:54:58.247662+00:00"},{"alias_kind":"arxiv_version","alias_value":"1902.00105v1","created_at":"2026-05-17T23:54:58.247662+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.00105","created_at":"2026-05-17T23:54:58.247662+00:00"},{"alias_kind":"pith_short_12","alias_value":"HDI62G4A3OKL","created_at":"2026-05-18T12:33:18.533446+00:00"},{"alias_kind":"pith_short_16","alias_value":"HDI62G4A3OKLZ7EC","created_at":"2026-05-18T12:33:18.533446+00:00"},{"alias_kind":"pith_short_8","alias_value":"HDI62G4A","created_at":"2026-05-18T12:33:18.533446+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/HDI62G4A3OKLZ7EC3WZUIYT72B","json":"https://pith.science/pith/HDI62G4A3OKLZ7EC3WZUIYT72B.json","graph_json":"https://pith.science/api/pith-number/HDI62G4A3OKLZ7EC3WZUIYT72B/graph.json","events_json":"https://pith.science/api/pith-number/HDI62G4A3OKLZ7EC3WZUIYT72B/events.json","paper":"https://pith.science/paper/HDI62G4A"},"agent_actions":{"view_html":"https://pith.science/pith/HDI62G4A3OKLZ7EC3WZUIYT72B","download_json":"https://pith.science/pith/HDI62G4A3OKLZ7EC3WZUIYT72B.json","view_paper":"https://pith.science/paper/HDI62G4A","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1902.00105&json=true","fetch_graph":"https://pith.science/api/pith-number/HDI62G4A3OKLZ7EC3WZUIYT72B/graph.json","fetch_events":"https://pith.science/api/pith-number/HDI62G4A3OKLZ7EC3WZUIYT72B/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HDI62G4A3OKLZ7EC3WZUIYT72B/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HDI62G4A3OKLZ7EC3WZUIYT72B/action/storage_attestation","attest_author":"https://pith.science/pith/HDI62G4A3OKLZ7EC3WZUIYT72B/action/author_attestation","sign_citation":"https://pith.science/pith/HDI62G4A3OKLZ7EC3WZUIYT72B/action/citation_signature","submit_replication":"https://pith.science/pith/HDI62G4A3OKLZ7EC3WZUIYT72B/action/replication_record"}},"created_at":"2026-05-17T23:54:58.247662+00:00","updated_at":"2026-05-17T23:54:58.247662+00:00"}