{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:HDI62G4A3OKLZ7EC3WZUIYT72B","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"7619bf4d65b34862a049d225eaa5acc2a484b60697161651c62f9e52a0b04fa1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2019-01-29T18:41:34Z","title_canon_sha256":"e9b9326fc1be4e475555cf481f21a706e6ec73c980cad0d19031d13abc4f4507"},"schema_version":"1.0","source":{"id":"1902.00105","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.00105","created_at":"2026-05-17T23:54:58Z"},{"alias_kind":"arxiv_version","alias_value":"1902.00105v1","created_at":"2026-05-17T23:54:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.00105","created_at":"2026-05-17T23:54:58Z"},{"alias_kind":"pith_short_12","alias_value":"HDI62G4A3OKL","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"HDI62G4A3OKLZ7EC","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"HDI62G4A","created_at":"2026-05-18T12:33:18Z"}],"graph_snapshots":[{"event_id":"sha256:9c9450c102033bdd147cbf678bf97a4c2aaaee0e2b06d4d0f283b3dbdfc8bc2d","target":"graph","created_at":"2026-05-17T23:54:58Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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 ","authors_text":"Bo Wang, Caixia Zhang, Hao Hu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2019-01-29T18:41:34Z","title":"Geometric Interpretation of side-sharing and point-sharing solutions in the P3P Problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.00105","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:88627648afbd2fba262c2dd8952013b745f090c654652800862702219235db0f","target":"record","created_at":"2026-05-17T23:54:58Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"7619bf4d65b34862a049d225eaa5acc2a484b60697161651c62f9e52a0b04fa1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2019-01-29T18:41:34Z","title_canon_sha256":"e9b9326fc1be4e475555cf481f21a706e6ec73c980cad0d19031d13abc4f4507"},"schema_version":"1.0","source":{"id":"1902.00105","kind":"arxiv","version":1}},"canonical_sha256":"38d1ed1b80db94bcfc82ddb344627fd0601f7941beaadfeb5a44f68b223b1532","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"38d1ed1b80db94bcfc82ddb344627fd0601f7941beaadfeb5a44f68b223b1532","first_computed_at":"2026-05-17T23:54:58.247579Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:58.247579Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SNmf3YxPhImzL/CUT72ij62ihLmHc12XgZljuVuPuVAGbgoMO8/POX87nrdSSak0imlAjH0ta4HhCmsOS3oqBQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:58.248111Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.00105","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:88627648afbd2fba262c2dd8952013b745f090c654652800862702219235db0f","sha256:9c9450c102033bdd147cbf678bf97a4c2aaaee0e2b06d4d0f283b3dbdfc8bc2d"],"state_sha256":"7d78873a9852106ad8b7bbaafd295f118e3c904f7f92c4073a53265623aab550"}