{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:GY6555WP26IS73VCJFK2C3BFQR","short_pith_number":"pith:GY6555WP","schema_version":"1.0","canonical_sha256":"363ddef6cfd7912feea24955a16c25844cf32bef73bfd135245936d01b15b520","source":{"kind":"arxiv","id":"0901.3928","version":2},"attestation_state":"computed","paper":{"title":"Automorphisms of classical geometries in the sense of Klein","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Alberto Navarro, Jose Navarro","submitted_at":"2009-01-25T22:47:03Z","abstract_excerpt":"In this note, we compute the group of automorphisms of Projective, Affine and Euclidean Geometries in the sense of Klein.\n  As an application, we give a simple construction of the outer automorphism of S_6."},"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":"0901.3928","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2009-01-25T22:47:03Z","cross_cats_sorted":[],"title_canon_sha256":"92bd69df799e9872a84c4d66924559b79469e1aeacee5afc13ba8a9be8074193","abstract_canon_sha256":"9ffd21e6d2d52903f787aa1509f78da7e261456a7b797bde9dc1608bf476ccfc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:19:22.783450Z","signature_b64":"s80OCY99eSug3syDIS37k52tVLtpJvvbk4vp7nKMPddGCgonG1kQAglFyK8BpzwruDopRMuQ2oJ3GvFMhxjnDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"363ddef6cfd7912feea24955a16c25844cf32bef73bfd135245936d01b15b520","last_reissued_at":"2026-05-18T03:19:22.782943Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:19:22.782943Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Automorphisms of classical geometries in the sense of Klein","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Alberto Navarro, Jose Navarro","submitted_at":"2009-01-25T22:47:03Z","abstract_excerpt":"In this note, we compute the group of automorphisms of Projective, Affine and Euclidean Geometries in the sense of Klein.\n  As an application, we give a simple construction of the outer automorphism of S_6."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.3928","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":"0901.3928","created_at":"2026-05-18T03:19:22.783015+00:00"},{"alias_kind":"arxiv_version","alias_value":"0901.3928v2","created_at":"2026-05-18T03:19:22.783015+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.3928","created_at":"2026-05-18T03:19:22.783015+00:00"},{"alias_kind":"pith_short_12","alias_value":"GY6555WP26IS","created_at":"2026-05-18T12:25:59.703012+00:00"},{"alias_kind":"pith_short_16","alias_value":"GY6555WP26IS73VC","created_at":"2026-05-18T12:25:59.703012+00:00"},{"alias_kind":"pith_short_8","alias_value":"GY6555WP","created_at":"2026-05-18T12:25:59.703012+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/GY6555WP26IS73VCJFK2C3BFQR","json":"https://pith.science/pith/GY6555WP26IS73VCJFK2C3BFQR.json","graph_json":"https://pith.science/api/pith-number/GY6555WP26IS73VCJFK2C3BFQR/graph.json","events_json":"https://pith.science/api/pith-number/GY6555WP26IS73VCJFK2C3BFQR/events.json","paper":"https://pith.science/paper/GY6555WP"},"agent_actions":{"view_html":"https://pith.science/pith/GY6555WP26IS73VCJFK2C3BFQR","download_json":"https://pith.science/pith/GY6555WP26IS73VCJFK2C3BFQR.json","view_paper":"https://pith.science/paper/GY6555WP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0901.3928&json=true","fetch_graph":"https://pith.science/api/pith-number/GY6555WP26IS73VCJFK2C3BFQR/graph.json","fetch_events":"https://pith.science/api/pith-number/GY6555WP26IS73VCJFK2C3BFQR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GY6555WP26IS73VCJFK2C3BFQR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GY6555WP26IS73VCJFK2C3BFQR/action/storage_attestation","attest_author":"https://pith.science/pith/GY6555WP26IS73VCJFK2C3BFQR/action/author_attestation","sign_citation":"https://pith.science/pith/GY6555WP26IS73VCJFK2C3BFQR/action/citation_signature","submit_replication":"https://pith.science/pith/GY6555WP26IS73VCJFK2C3BFQR/action/replication_record"}},"created_at":"2026-05-18T03:19:22.783015+00:00","updated_at":"2026-05-18T03:19:22.783015+00:00"}