{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:72Y3BJEQQYHHH7OX6VPJLUXWYS","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":"581f3bc0d4917c488137017378136a29e976265f500eef92e06b46c19bb7f91a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2016-10-03T10:04:38Z","title_canon_sha256":"09ff1f1cdd88124b3d18645cdd10c42c5bdf74a29ca7ccb44d8ed5276f6fc982"},"schema_version":"1.0","source":{"id":"1610.00473","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.00473","created_at":"2026-05-18T00:58:28Z"},{"alias_kind":"arxiv_version","alias_value":"1610.00473v2","created_at":"2026-05-18T00:58:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.00473","created_at":"2026-05-18T00:58:28Z"},{"alias_kind":"pith_short_12","alias_value":"72Y3BJEQQYHH","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"72Y3BJEQQYHHH7OX","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"72Y3BJEQ","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:91868d9562112075074882581e8e273e699dfc4fd6ec41fddb6d767c5f6f22da","target":"graph","created_at":"2026-05-18T00:58:28Z","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":"In this paper we overview the theory of conics and roulettes in four non-Euclidean planes. We collect the literature about these classical concepts, from the eighteenth century to the present, including papers available only on arXiv. The comparison of the four non-Euclidean planes, in terms of the known results on conics and roulettes, reflects only the very subjective view of the author.","authors_text":"\\'Akos G.Horv\\'ath","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2016-10-03T10:04:38Z","title":"Constructive curves in non-Euclidean planes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.00473","kind":"arxiv","version":2},"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":"sha256:56ce015a2d44614d6bcb16edba3e51601e0b77be5e25bd4819f8ae099577b552","target":"record","created_at":"2026-05-18T00:58:28Z","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":"581f3bc0d4917c488137017378136a29e976265f500eef92e06b46c19bb7f91a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2016-10-03T10:04:38Z","title_canon_sha256":"09ff1f1cdd88124b3d18645cdd10c42c5bdf74a29ca7ccb44d8ed5276f6fc982"},"schema_version":"1.0","source":{"id":"1610.00473","kind":"arxiv","version":2}},"canonical_sha256":"feb1b0a490860e73fdd7f55e95d2f6c49def8a038131838083cc86744591e2df","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"feb1b0a490860e73fdd7f55e95d2f6c49def8a038131838083cc86744591e2df","first_computed_at":"2026-05-18T00:58:28.320461Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:58:28.320461Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jE/FNCB0TF92rK/32ih5cxjAi9va6KczoB/H1IULj6LU4l8NFfaCfpnCGc20F/yofsh5eU9k80eodpmcrhLLDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:58:28.321011Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.00473","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:56ce015a2d44614d6bcb16edba3e51601e0b77be5e25bd4819f8ae099577b552","sha256:91868d9562112075074882581e8e273e699dfc4fd6ec41fddb6d767c5f6f22da"],"state_sha256":"91a87748bf56c2217a6ec0f12ab55a1165153f5358e1da60d3d5b982b0a95bf5"}