{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:DKQDXPTNWSY366YBPLIX6YKUDQ","short_pith_number":"pith:DKQDXPTN","schema_version":"1.0","canonical_sha256":"1aa03bbe6db4b1bf7b017ad17f61541c15ed5fe17f81ed6bed38aaa0ba136515","source":{"kind":"arxiv","id":"1411.2648","version":1},"attestation_state":"computed","paper":{"title":"On the Sylvester-Gallai theorem for conics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.AG","authors_text":"Adam Czaplinski, Grzegorz Malara, Halszka Tutaj-Gasinska, Janusz Gwozdziewicz, Justyna Szpond, Lucja Farnik, Magdalena Lampa-Baczynska, Marcin Dumnicki, Tomasz Szemberg","submitted_at":"2014-11-10T22:15:30Z","abstract_excerpt":"In the present note we give a new proof of a result due to Wiseman and Wilson which establishes an analogue of the Sylvester-Gallai theorem valid for curves of degree two. The main ingredients of the proof come from algebraic geometry. Specifically, we use Cremona transformation of the projective plane and Hirzebruch inequality."},"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":"1411.2648","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-11-10T22:15:30Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"b00d0696daa5d1a449434d9df3db294e2469d52b239a5aed96ee4911900168ae","abstract_canon_sha256":"adfe051119c438f3e753ceeb51c7af5628c0e1cd7f23e558955a7921d74d5e2e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:45.037921Z","signature_b64":"BaNrVcJG6YBtQW7TAzPSfoONMGnOPZlR7hxmYbMNw2eunBzuaPDH56N55zh0sYUFTRr2dzU0Y89ZYaIlacqpAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1aa03bbe6db4b1bf7b017ad17f61541c15ed5fe17f81ed6bed38aaa0ba136515","last_reissued_at":"2026-05-18T00:20:45.037215Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:45.037215Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Sylvester-Gallai theorem for conics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.AG","authors_text":"Adam Czaplinski, Grzegorz Malara, Halszka Tutaj-Gasinska, Janusz Gwozdziewicz, Justyna Szpond, Lucja Farnik, Magdalena Lampa-Baczynska, Marcin Dumnicki, Tomasz Szemberg","submitted_at":"2014-11-10T22:15:30Z","abstract_excerpt":"In the present note we give a new proof of a result due to Wiseman and Wilson which establishes an analogue of the Sylvester-Gallai theorem valid for curves of degree two. The main ingredients of the proof come from algebraic geometry. Specifically, we use Cremona transformation of the projective plane and Hirzebruch inequality."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.2648","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":"1411.2648","created_at":"2026-05-18T00:20:45.037348+00:00"},{"alias_kind":"arxiv_version","alias_value":"1411.2648v1","created_at":"2026-05-18T00:20:45.037348+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.2648","created_at":"2026-05-18T00:20:45.037348+00:00"},{"alias_kind":"pith_short_12","alias_value":"DKQDXPTNWSY3","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_16","alias_value":"DKQDXPTNWSY366YB","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_8","alias_value":"DKQDXPTN","created_at":"2026-05-18T12:28:25.294606+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/DKQDXPTNWSY366YBPLIX6YKUDQ","json":"https://pith.science/pith/DKQDXPTNWSY366YBPLIX6YKUDQ.json","graph_json":"https://pith.science/api/pith-number/DKQDXPTNWSY366YBPLIX6YKUDQ/graph.json","events_json":"https://pith.science/api/pith-number/DKQDXPTNWSY366YBPLIX6YKUDQ/events.json","paper":"https://pith.science/paper/DKQDXPTN"},"agent_actions":{"view_html":"https://pith.science/pith/DKQDXPTNWSY366YBPLIX6YKUDQ","download_json":"https://pith.science/pith/DKQDXPTNWSY366YBPLIX6YKUDQ.json","view_paper":"https://pith.science/paper/DKQDXPTN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1411.2648&json=true","fetch_graph":"https://pith.science/api/pith-number/DKQDXPTNWSY366YBPLIX6YKUDQ/graph.json","fetch_events":"https://pith.science/api/pith-number/DKQDXPTNWSY366YBPLIX6YKUDQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DKQDXPTNWSY366YBPLIX6YKUDQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DKQDXPTNWSY366YBPLIX6YKUDQ/action/storage_attestation","attest_author":"https://pith.science/pith/DKQDXPTNWSY366YBPLIX6YKUDQ/action/author_attestation","sign_citation":"https://pith.science/pith/DKQDXPTNWSY366YBPLIX6YKUDQ/action/citation_signature","submit_replication":"https://pith.science/pith/DKQDXPTNWSY366YBPLIX6YKUDQ/action/replication_record"}},"created_at":"2026-05-18T00:20:45.037348+00:00","updated_at":"2026-05-18T00:20:45.037348+00:00"}