{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:72Y3BJEQQYHHH7OX6VPJLUXWYS","short_pith_number":"pith:72Y3BJEQ","schema_version":"1.0","canonical_sha256":"feb1b0a490860e73fdd7f55e95d2f6c49def8a038131838083cc86744591e2df","source":{"kind":"arxiv","id":"1610.00473","version":2},"attestation_state":"computed","paper":{"title":"Constructive curves in non-Euclidean planes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.MG","authors_text":"\\'Akos G.Horv\\'ath","submitted_at":"2016-10-03T10:04:38Z","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."},"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":"1610.00473","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2016-10-03T10:04:38Z","cross_cats_sorted":[],"title_canon_sha256":"09ff1f1cdd88124b3d18645cdd10c42c5bdf74a29ca7ccb44d8ed5276f6fc982","abstract_canon_sha256":"581f3bc0d4917c488137017378136a29e976265f500eef92e06b46c19bb7f91a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:58:28.321011Z","signature_b64":"jE/FNCB0TF92rK/32ih5cxjAi9va6KczoB/H1IULj6LU4l8NFfaCfpnCGc20F/yofsh5eU9k80eodpmcrhLLDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"feb1b0a490860e73fdd7f55e95d2f6c49def8a038131838083cc86744591e2df","last_reissued_at":"2026-05-18T00:58:28.320461Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:58:28.320461Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Constructive curves in non-Euclidean planes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.MG","authors_text":"\\'Akos G.Horv\\'ath","submitted_at":"2016-10-03T10:04:38Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.00473","kind":"arxiv","version":2},"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":"1610.00473","created_at":"2026-05-18T00:58:28.320541+00:00"},{"alias_kind":"arxiv_version","alias_value":"1610.00473v2","created_at":"2026-05-18T00:58:28.320541+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.00473","created_at":"2026-05-18T00:58:28.320541+00:00"},{"alias_kind":"pith_short_12","alias_value":"72Y3BJEQQYHH","created_at":"2026-05-18T12:30:04.600751+00:00"},{"alias_kind":"pith_short_16","alias_value":"72Y3BJEQQYHHH7OX","created_at":"2026-05-18T12:30:04.600751+00:00"},{"alias_kind":"pith_short_8","alias_value":"72Y3BJEQ","created_at":"2026-05-18T12:30:04.600751+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/72Y3BJEQQYHHH7OX6VPJLUXWYS","json":"https://pith.science/pith/72Y3BJEQQYHHH7OX6VPJLUXWYS.json","graph_json":"https://pith.science/api/pith-number/72Y3BJEQQYHHH7OX6VPJLUXWYS/graph.json","events_json":"https://pith.science/api/pith-number/72Y3BJEQQYHHH7OX6VPJLUXWYS/events.json","paper":"https://pith.science/paper/72Y3BJEQ"},"agent_actions":{"view_html":"https://pith.science/pith/72Y3BJEQQYHHH7OX6VPJLUXWYS","download_json":"https://pith.science/pith/72Y3BJEQQYHHH7OX6VPJLUXWYS.json","view_paper":"https://pith.science/paper/72Y3BJEQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1610.00473&json=true","fetch_graph":"https://pith.science/api/pith-number/72Y3BJEQQYHHH7OX6VPJLUXWYS/graph.json","fetch_events":"https://pith.science/api/pith-number/72Y3BJEQQYHHH7OX6VPJLUXWYS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/72Y3BJEQQYHHH7OX6VPJLUXWYS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/72Y3BJEQQYHHH7OX6VPJLUXWYS/action/storage_attestation","attest_author":"https://pith.science/pith/72Y3BJEQQYHHH7OX6VPJLUXWYS/action/author_attestation","sign_citation":"https://pith.science/pith/72Y3BJEQQYHHH7OX6VPJLUXWYS/action/citation_signature","submit_replication":"https://pith.science/pith/72Y3BJEQQYHHH7OX6VPJLUXWYS/action/replication_record"}},"created_at":"2026-05-18T00:58:28.320541+00:00","updated_at":"2026-05-18T00:58:28.320541+00:00"}