{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:TXKPIWKSALNTS5HCAZVZLBETWB","short_pith_number":"pith:TXKPIWKS","schema_version":"1.0","canonical_sha256":"9dd4f4595202db3974e2066b958493b064420c04435a34937b66bea7d30805f8","source":{"kind":"arxiv","id":"1307.5094","version":1},"attestation_state":"computed","paper":{"title":"Double-interval societies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Francis Edward Su, Jacob N. Scott, Kathryn L. Nyman, Maria Klawe","submitted_at":"2013-07-18T22:13:46Z","abstract_excerpt":"Consider a society of voters, each of whom specify an approval set over a linear political spectrum. We examine double-interval societies, in which each person's approval set is represented by two disjoint closed intervals, and study this situation where the approval sets are pairwise-intersecting: every pair of voters has a point in the intersection of their approval sets. The approval ratio for a society is, loosely speaking, the popularity of the most popular position on the spectrum. We study the question: what is the minimal guaranteed approval ratio for such a society? We provide a lower"},"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":"1307.5094","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-07-18T22:13:46Z","cross_cats_sorted":[],"title_canon_sha256":"60371b3eff82b442a69c166f8c64f5a3a7999101bda60d05dbee6ea337c41a14","abstract_canon_sha256":"27e587ebd78b2b2f3d79d2e06f6a6d5d8e0514e20bbe704542ea2b575cec7992"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:18:05.697919Z","signature_b64":"SoxpaDbZiTmX4AB3CWjtBcU3ZgEeYSz6+uyX2RPG5AzvEBFZgxl+y/cLQzJYYUqE9LWUNlTlLKWIMWkXphPOAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9dd4f4595202db3974e2066b958493b064420c04435a34937b66bea7d30805f8","last_reissued_at":"2026-05-18T03:18:05.697389Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:18:05.697389Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Double-interval societies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Francis Edward Su, Jacob N. Scott, Kathryn L. Nyman, Maria Klawe","submitted_at":"2013-07-18T22:13:46Z","abstract_excerpt":"Consider a society of voters, each of whom specify an approval set over a linear political spectrum. We examine double-interval societies, in which each person's approval set is represented by two disjoint closed intervals, and study this situation where the approval sets are pairwise-intersecting: every pair of voters has a point in the intersection of their approval sets. The approval ratio for a society is, loosely speaking, the popularity of the most popular position on the spectrum. We study the question: what is the minimal guaranteed approval ratio for such a society? We provide a lower"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.5094","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":"1307.5094","created_at":"2026-05-18T03:18:05.697467+00:00"},{"alias_kind":"arxiv_version","alias_value":"1307.5094v1","created_at":"2026-05-18T03:18:05.697467+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.5094","created_at":"2026-05-18T03:18:05.697467+00:00"},{"alias_kind":"pith_short_12","alias_value":"TXKPIWKSALNT","created_at":"2026-05-18T12:28:02.375192+00:00"},{"alias_kind":"pith_short_16","alias_value":"TXKPIWKSALNTS5HC","created_at":"2026-05-18T12:28:02.375192+00:00"},{"alias_kind":"pith_short_8","alias_value":"TXKPIWKS","created_at":"2026-05-18T12:28:02.375192+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/TXKPIWKSALNTS5HCAZVZLBETWB","json":"https://pith.science/pith/TXKPIWKSALNTS5HCAZVZLBETWB.json","graph_json":"https://pith.science/api/pith-number/TXKPIWKSALNTS5HCAZVZLBETWB/graph.json","events_json":"https://pith.science/api/pith-number/TXKPIWKSALNTS5HCAZVZLBETWB/events.json","paper":"https://pith.science/paper/TXKPIWKS"},"agent_actions":{"view_html":"https://pith.science/pith/TXKPIWKSALNTS5HCAZVZLBETWB","download_json":"https://pith.science/pith/TXKPIWKSALNTS5HCAZVZLBETWB.json","view_paper":"https://pith.science/paper/TXKPIWKS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1307.5094&json=true","fetch_graph":"https://pith.science/api/pith-number/TXKPIWKSALNTS5HCAZVZLBETWB/graph.json","fetch_events":"https://pith.science/api/pith-number/TXKPIWKSALNTS5HCAZVZLBETWB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TXKPIWKSALNTS5HCAZVZLBETWB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TXKPIWKSALNTS5HCAZVZLBETWB/action/storage_attestation","attest_author":"https://pith.science/pith/TXKPIWKSALNTS5HCAZVZLBETWB/action/author_attestation","sign_citation":"https://pith.science/pith/TXKPIWKSALNTS5HCAZVZLBETWB/action/citation_signature","submit_replication":"https://pith.science/pith/TXKPIWKSALNTS5HCAZVZLBETWB/action/replication_record"}},"created_at":"2026-05-18T03:18:05.697467+00:00","updated_at":"2026-05-18T03:18:05.697467+00:00"}