{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:FY3MDQ7AEFP2GE7AHF4QUZ7I3X","short_pith_number":"pith:FY3MDQ7A","schema_version":"1.0","canonical_sha256":"2e36c1c3e0215fa313e039790a67e8dddfd3b95a25335a9e86f0f3f434a644e1","source":{"kind":"arxiv","id":"1410.2350","version":1},"attestation_state":"computed","paper":{"title":"Combinatorial configurations, quasiline arrangements, and systems of curves on surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Arjana \\v{Z}itnik, J\\\"urgen Bokowski, Jurij Kovi\\v{c}, Toma\\v{z} Pisanski","submitted_at":"2014-10-09T04:05:55Z","abstract_excerpt":"It is well known that not every combinatorial configuration admits a geometric realization with points and lines. Moreover, some of them do not even admit realizations with pseudoline arrangements, i.e., they are not topological. In this paper we provide a new topological representation by using and essentially generalizing the topological representation of oriented matroids in rank 3. These representations can also be interpreted as curve arrangements on surfaces.\n  In particular, we generalize the notion of a pseudoline arrangement to the notion of a quasiline arrangement by relaxing the con"},"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":"1410.2350","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-10-09T04:05:55Z","cross_cats_sorted":[],"title_canon_sha256":"8d2879c65bfaf75e59f04a3fa1f73d8334ce235d658a260171d1c0fe457b7097","abstract_canon_sha256":"b782972269a79c3135f03b45b109a941744e88b69b9eebc25fe7c7e1595418dd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:40:46.615803Z","signature_b64":"oHOXEUVHmG0vkCwVzFaHdFVgw4mZWuPNLd3/mA7IKG5Osu+tCW9BUuQuzHow067al4D+XmESc50eTMqE/MRvDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2e36c1c3e0215fa313e039790a67e8dddfd3b95a25335a9e86f0f3f434a644e1","last_reissued_at":"2026-05-18T02:40:46.615145Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:40:46.615145Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Combinatorial configurations, quasiline arrangements, and systems of curves on surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Arjana \\v{Z}itnik, J\\\"urgen Bokowski, Jurij Kovi\\v{c}, Toma\\v{z} Pisanski","submitted_at":"2014-10-09T04:05:55Z","abstract_excerpt":"It is well known that not every combinatorial configuration admits a geometric realization with points and lines. Moreover, some of them do not even admit realizations with pseudoline arrangements, i.e., they are not topological. In this paper we provide a new topological representation by using and essentially generalizing the topological representation of oriented matroids in rank 3. These representations can also be interpreted as curve arrangements on surfaces.\n  In particular, we generalize the notion of a pseudoline arrangement to the notion of a quasiline arrangement by relaxing the con"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.2350","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":"1410.2350","created_at":"2026-05-18T02:40:46.615232+00:00"},{"alias_kind":"arxiv_version","alias_value":"1410.2350v1","created_at":"2026-05-18T02:40:46.615232+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.2350","created_at":"2026-05-18T02:40:46.615232+00:00"},{"alias_kind":"pith_short_12","alias_value":"FY3MDQ7AEFP2","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_16","alias_value":"FY3MDQ7AEFP2GE7A","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_8","alias_value":"FY3MDQ7A","created_at":"2026-05-18T12:28:28.263976+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/FY3MDQ7AEFP2GE7AHF4QUZ7I3X","json":"https://pith.science/pith/FY3MDQ7AEFP2GE7AHF4QUZ7I3X.json","graph_json":"https://pith.science/api/pith-number/FY3MDQ7AEFP2GE7AHF4QUZ7I3X/graph.json","events_json":"https://pith.science/api/pith-number/FY3MDQ7AEFP2GE7AHF4QUZ7I3X/events.json","paper":"https://pith.science/paper/FY3MDQ7A"},"agent_actions":{"view_html":"https://pith.science/pith/FY3MDQ7AEFP2GE7AHF4QUZ7I3X","download_json":"https://pith.science/pith/FY3MDQ7AEFP2GE7AHF4QUZ7I3X.json","view_paper":"https://pith.science/paper/FY3MDQ7A","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1410.2350&json=true","fetch_graph":"https://pith.science/api/pith-number/FY3MDQ7AEFP2GE7AHF4QUZ7I3X/graph.json","fetch_events":"https://pith.science/api/pith-number/FY3MDQ7AEFP2GE7AHF4QUZ7I3X/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FY3MDQ7AEFP2GE7AHF4QUZ7I3X/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FY3MDQ7AEFP2GE7AHF4QUZ7I3X/action/storage_attestation","attest_author":"https://pith.science/pith/FY3MDQ7AEFP2GE7AHF4QUZ7I3X/action/author_attestation","sign_citation":"https://pith.science/pith/FY3MDQ7AEFP2GE7AHF4QUZ7I3X/action/citation_signature","submit_replication":"https://pith.science/pith/FY3MDQ7AEFP2GE7AHF4QUZ7I3X/action/replication_record"}},"created_at":"2026-05-18T02:40:46.615232+00:00","updated_at":"2026-05-18T02:40:46.615232+00:00"}