{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:PRJ3WIXFM24Q22KC4BBDVM7BP2","short_pith_number":"pith:PRJ3WIXF","schema_version":"1.0","canonical_sha256":"7c53bb22e566b90d6942e0423ab3e17eaa10847c6c5b0f9591fa8e4dde235732","source":{"kind":"arxiv","id":"1210.2053","version":1},"attestation_state":"computed","paper":{"title":"Weak Linear Mappings -- A Survey","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Hans Havlicek","submitted_at":"2012-10-07T13:24:28Z","abstract_excerpt":"There are various concepts of structure preserving mappings in geometry. It is the aim of the present paper to give a survey on geometrical characterizations of some of those mappings. We discuss the results for projective spaces in some detail and report on generalizations to other spaces."},"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":"1210.2053","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-10-07T13:24:28Z","cross_cats_sorted":[],"title_canon_sha256":"3e2a4113604ce01c3adc3432507a4156e5e02adcdb109509285d96e6d06a96fc","abstract_canon_sha256":"06903284a64430fcc7c6fbdd0bdfaad2d41c567c907c54995372311c5fcfda6e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:43:51.249055Z","signature_b64":"23m3/j8QbZHDulvLZOI3yvm3W+y2Tn8IlxcxG2TRPZhbdvKRJDPWW3WkxmOzSAAMLERC7+MZMa3igix7Y7VRDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7c53bb22e566b90d6942e0423ab3e17eaa10847c6c5b0f9591fa8e4dde235732","last_reissued_at":"2026-05-18T03:43:51.248528Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:43:51.248528Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Weak Linear Mappings -- A Survey","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Hans Havlicek","submitted_at":"2012-10-07T13:24:28Z","abstract_excerpt":"There are various concepts of structure preserving mappings in geometry. It is the aim of the present paper to give a survey on geometrical characterizations of some of those mappings. We discuss the results for projective spaces in some detail and report on generalizations to other spaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.2053","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":"1210.2053","created_at":"2026-05-18T03:43:51.248609+00:00"},{"alias_kind":"arxiv_version","alias_value":"1210.2053v1","created_at":"2026-05-18T03:43:51.248609+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.2053","created_at":"2026-05-18T03:43:51.248609+00:00"},{"alias_kind":"pith_short_12","alias_value":"PRJ3WIXFM24Q","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_16","alias_value":"PRJ3WIXFM24Q22KC","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_8","alias_value":"PRJ3WIXF","created_at":"2026-05-18T12:27:18.751474+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/PRJ3WIXFM24Q22KC4BBDVM7BP2","json":"https://pith.science/pith/PRJ3WIXFM24Q22KC4BBDVM7BP2.json","graph_json":"https://pith.science/api/pith-number/PRJ3WIXFM24Q22KC4BBDVM7BP2/graph.json","events_json":"https://pith.science/api/pith-number/PRJ3WIXFM24Q22KC4BBDVM7BP2/events.json","paper":"https://pith.science/paper/PRJ3WIXF"},"agent_actions":{"view_html":"https://pith.science/pith/PRJ3WIXFM24Q22KC4BBDVM7BP2","download_json":"https://pith.science/pith/PRJ3WIXFM24Q22KC4BBDVM7BP2.json","view_paper":"https://pith.science/paper/PRJ3WIXF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1210.2053&json=true","fetch_graph":"https://pith.science/api/pith-number/PRJ3WIXFM24Q22KC4BBDVM7BP2/graph.json","fetch_events":"https://pith.science/api/pith-number/PRJ3WIXFM24Q22KC4BBDVM7BP2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PRJ3WIXFM24Q22KC4BBDVM7BP2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PRJ3WIXFM24Q22KC4BBDVM7BP2/action/storage_attestation","attest_author":"https://pith.science/pith/PRJ3WIXFM24Q22KC4BBDVM7BP2/action/author_attestation","sign_citation":"https://pith.science/pith/PRJ3WIXFM24Q22KC4BBDVM7BP2/action/citation_signature","submit_replication":"https://pith.science/pith/PRJ3WIXFM24Q22KC4BBDVM7BP2/action/replication_record"}},"created_at":"2026-05-18T03:43:51.248609+00:00","updated_at":"2026-05-18T03:43:51.248609+00:00"}