{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:RR7GNCL6YU2SAGRLP66PCXHF4B","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":"26a76da6f02126652f93c6f9e367ba7d93b0f83c8e2b8b2393486373c19803b3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2013-08-19T12:52:01Z","title_canon_sha256":"de6e07156ed9337b8db4fdc4eecebd035b1a70daaaf0c57ce1869941ae09220c"},"schema_version":"1.0","source":{"id":"1308.4007","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.4007","created_at":"2026-05-18T01:35:33Z"},{"alias_kind":"arxiv_version","alias_value":"1308.4007v3","created_at":"2026-05-18T01:35:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.4007","created_at":"2026-05-18T01:35:33Z"},{"alias_kind":"pith_short_12","alias_value":"RR7GNCL6YU2S","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"RR7GNCL6YU2SAGRL","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"RR7GNCL6","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:6f88c2c86f3f0f0ae51fa33f320af2d0a5ebe3eefaff58987020a051030bcada","target":"graph","created_at":"2026-05-18T01:35:33Z","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":"We discuss the cross-ratio map of planar quadrilateral linkages, also in the case when one of the links is telescopic. Most of our results are valid for a planar quadrilateral linkage with generic lengths of the sides. In particular, we describe the image of cross-ratio map for quadrilateral linkage and planar robot 3-arm.","authors_text":"Dirk Siersma, Giorgi Khimshiashvili","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2013-08-19T12:52:01Z","title":"Cross Ratios of Quadrilateral Linkages"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.4007","kind":"arxiv","version":3},"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":"sha256:260befe806ed0b59badfa400af18bb1273e005511a602fe84e6b590e949b41a3","target":"record","created_at":"2026-05-18T01:35:33Z","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":"26a76da6f02126652f93c6f9e367ba7d93b0f83c8e2b8b2393486373c19803b3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2013-08-19T12:52:01Z","title_canon_sha256":"de6e07156ed9337b8db4fdc4eecebd035b1a70daaaf0c57ce1869941ae09220c"},"schema_version":"1.0","source":{"id":"1308.4007","kind":"arxiv","version":3}},"canonical_sha256":"8c7e66897ec535201a2b7fbcf15ce5e04b8932b3de0e2077d05f1d810ae2ef11","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8c7e66897ec535201a2b7fbcf15ce5e04b8932b3de0e2077d05f1d810ae2ef11","first_computed_at":"2026-05-18T01:35:33.130184Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:33.130184Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aAAiV0B/J86lm9qyfwi7b3IZDVgCxfZ/p9G3q/iWE3lIEqPk2sNmRNKNwwb6FbVz8lqKARv9/7QZ5abb/7zBCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:33.130775Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.4007","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:260befe806ed0b59badfa400af18bb1273e005511a602fe84e6b590e949b41a3","sha256:6f88c2c86f3f0f0ae51fa33f320af2d0a5ebe3eefaff58987020a051030bcada"],"state_sha256":"8b3b114876c07bfdb916b16a96d506d7777175ee8c0da230d8b3369f265e6bbc"}