{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:AZ7UC5QA5KRICF22XCXSZRLP26","short_pith_number":"pith:AZ7UC5QA","schema_version":"1.0","canonical_sha256":"067f417600eaa281175ab8af2cc56fd78a4d97bad522e33f8c0928115a11be9e","source":{"kind":"arxiv","id":"1812.09312","version":1},"attestation_state":"computed","paper":{"title":"Straight projective-metric spaces with centers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.MG","authors_text":"\\'Arp\\'ad Kurusa","submitted_at":"2018-12-21T18:51:21Z","abstract_excerpt":"It is proved that a straight projective-metric space has an open set of centers, if and only if it is either the hyperbolic or a Minkowskian geometry. It is also shown that if a straight projective-metric space has some finitely many well-placed centers, then it is either the hyperbolic or a Minkowskian geometry."},"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":"1812.09312","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2018-12-21T18:51:21Z","cross_cats_sorted":[],"title_canon_sha256":"8b4a9c4f8e92d8689e632940ab658d44dc16e8312a90ba35f080528734bcacc8","abstract_canon_sha256":"c4ba820322ea961709e3b7d95c72b831eadff83c1d1eb4e2207f472cb439c8b7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:57:44.793891Z","signature_b64":"X7BeThRkqkNU82D2d0HRoDtKC51JpqBUWkhrEXrR5UVEjYG6cCLWsiK7zPW1bT9TBCpUkAc7TphiRJuA1ZZyAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"067f417600eaa281175ab8af2cc56fd78a4d97bad522e33f8c0928115a11be9e","last_reissued_at":"2026-05-17T23:57:44.793237Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:57:44.793237Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Straight projective-metric spaces with centers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.MG","authors_text":"\\'Arp\\'ad Kurusa","submitted_at":"2018-12-21T18:51:21Z","abstract_excerpt":"It is proved that a straight projective-metric space has an open set of centers, if and only if it is either the hyperbolic or a Minkowskian geometry. It is also shown that if a straight projective-metric space has some finitely many well-placed centers, then it is either the hyperbolic or a Minkowskian geometry."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.09312","kind":"arxiv","version":1},"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":"1812.09312","created_at":"2026-05-17T23:57:44.793368+00:00"},{"alias_kind":"arxiv_version","alias_value":"1812.09312v1","created_at":"2026-05-17T23:57:44.793368+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.09312","created_at":"2026-05-17T23:57:44.793368+00:00"},{"alias_kind":"pith_short_12","alias_value":"AZ7UC5QA5KRI","created_at":"2026-05-18T12:32:13.499390+00:00"},{"alias_kind":"pith_short_16","alias_value":"AZ7UC5QA5KRICF22","created_at":"2026-05-18T12:32:13.499390+00:00"},{"alias_kind":"pith_short_8","alias_value":"AZ7UC5QA","created_at":"2026-05-18T12:32:13.499390+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/AZ7UC5QA5KRICF22XCXSZRLP26","json":"https://pith.science/pith/AZ7UC5QA5KRICF22XCXSZRLP26.json","graph_json":"https://pith.science/api/pith-number/AZ7UC5QA5KRICF22XCXSZRLP26/graph.json","events_json":"https://pith.science/api/pith-number/AZ7UC5QA5KRICF22XCXSZRLP26/events.json","paper":"https://pith.science/paper/AZ7UC5QA"},"agent_actions":{"view_html":"https://pith.science/pith/AZ7UC5QA5KRICF22XCXSZRLP26","download_json":"https://pith.science/pith/AZ7UC5QA5KRICF22XCXSZRLP26.json","view_paper":"https://pith.science/paper/AZ7UC5QA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1812.09312&json=true","fetch_graph":"https://pith.science/api/pith-number/AZ7UC5QA5KRICF22XCXSZRLP26/graph.json","fetch_events":"https://pith.science/api/pith-number/AZ7UC5QA5KRICF22XCXSZRLP26/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AZ7UC5QA5KRICF22XCXSZRLP26/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AZ7UC5QA5KRICF22XCXSZRLP26/action/storage_attestation","attest_author":"https://pith.science/pith/AZ7UC5QA5KRICF22XCXSZRLP26/action/author_attestation","sign_citation":"https://pith.science/pith/AZ7UC5QA5KRICF22XCXSZRLP26/action/citation_signature","submit_replication":"https://pith.science/pith/AZ7UC5QA5KRICF22XCXSZRLP26/action/replication_record"}},"created_at":"2026-05-17T23:57:44.793368+00:00","updated_at":"2026-05-17T23:57:44.793368+00:00"}