{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:4Y2HA4PJCJFIH3RMVIJ2ABMJ5Q","short_pith_number":"pith:4Y2HA4PJ","schema_version":"1.0","canonical_sha256":"e6347071e9124a83ee2caa13a00589ec19950de403e1c577ec78dfbfbce34b01","source":{"kind":"arxiv","id":"2606.11160","version":1},"attestation_state":"computed","paper":{"title":"Fractional Pareto-Optimality in Multiwinner Voting","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.GT","authors_text":"Fabian Frank, Lara Glessen, Niclas Boehmer, Patrick Becker","submitted_at":"2026-06-09T17:42:27Z","abstract_excerpt":"Efficiency in multiwinner voting is most naturally captured by Pareto-optimality (PO), yet this notion is computationally and structurally difficult to handle. We therefore study fractional Pareto-optimality (fPO), under which a committee may not be dominated even by a fractional committee, i.e., any convex combination of committees. fPO turns out to be a natural refinement of PO as it retains exactly those Pareto-optimal committees whose efficiency is robust under uniform cloning of candidates. Furthermore, fPO committees are guaranteed to exist and have strong structural properties. We prese"},"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":"2606.11160","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2026-06-09T17:42:27Z","cross_cats_sorted":[],"title_canon_sha256":"0f314a7e83bb797902b80368b2aec44bfba793326e21e9c69c1d0c163d76f645","abstract_canon_sha256":"3b659dde5acc64c49436bb7a71502df14a8f4ec32484b04a187c5f0d1c440032"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-10T01:11:14.573856Z","signature_b64":"xY4j/sT+cUEcz9c6bJ6HJ3HWVltsUm8NefJVUT8hJuyespvf3YDnRXUpg7TPcJQqGFR+qg7B6Z351qktgnsaBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e6347071e9124a83ee2caa13a00589ec19950de403e1c577ec78dfbfbce34b01","last_reissued_at":"2026-06-10T01:11:14.573091Z","signature_status":"signed_v1","first_computed_at":"2026-06-10T01:11:14.573091Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fractional Pareto-Optimality in Multiwinner Voting","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.GT","authors_text":"Fabian Frank, Lara Glessen, Niclas Boehmer, Patrick Becker","submitted_at":"2026-06-09T17:42:27Z","abstract_excerpt":"Efficiency in multiwinner voting is most naturally captured by Pareto-optimality (PO), yet this notion is computationally and structurally difficult to handle. We therefore study fractional Pareto-optimality (fPO), under which a committee may not be dominated even by a fractional committee, i.e., any convex combination of committees. fPO turns out to be a natural refinement of PO as it retains exactly those Pareto-optimal committees whose efficiency is robust under uniform cloning of candidates. Furthermore, fPO committees are guaranteed to exist and have strong structural properties. We prese"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.11160","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.11160/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2606.11160","created_at":"2026-06-10T01:11:14.573223+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.11160v1","created_at":"2026-06-10T01:11:14.573223+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.11160","created_at":"2026-06-10T01:11:14.573223+00:00"},{"alias_kind":"pith_short_12","alias_value":"4Y2HA4PJCJFI","created_at":"2026-06-10T01:11:14.573223+00:00"},{"alias_kind":"pith_short_16","alias_value":"4Y2HA4PJCJFIH3RM","created_at":"2026-06-10T01:11:14.573223+00:00"},{"alias_kind":"pith_short_8","alias_value":"4Y2HA4PJ","created_at":"2026-06-10T01:11:14.573223+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/4Y2HA4PJCJFIH3RMVIJ2ABMJ5Q","json":"https://pith.science/pith/4Y2HA4PJCJFIH3RMVIJ2ABMJ5Q.json","graph_json":"https://pith.science/api/pith-number/4Y2HA4PJCJFIH3RMVIJ2ABMJ5Q/graph.json","events_json":"https://pith.science/api/pith-number/4Y2HA4PJCJFIH3RMVIJ2ABMJ5Q/events.json","paper":"https://pith.science/paper/4Y2HA4PJ"},"agent_actions":{"view_html":"https://pith.science/pith/4Y2HA4PJCJFIH3RMVIJ2ABMJ5Q","download_json":"https://pith.science/pith/4Y2HA4PJCJFIH3RMVIJ2ABMJ5Q.json","view_paper":"https://pith.science/paper/4Y2HA4PJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.11160&json=true","fetch_graph":"https://pith.science/api/pith-number/4Y2HA4PJCJFIH3RMVIJ2ABMJ5Q/graph.json","fetch_events":"https://pith.science/api/pith-number/4Y2HA4PJCJFIH3RMVIJ2ABMJ5Q/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4Y2HA4PJCJFIH3RMVIJ2ABMJ5Q/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4Y2HA4PJCJFIH3RMVIJ2ABMJ5Q/action/storage_attestation","attest_author":"https://pith.science/pith/4Y2HA4PJCJFIH3RMVIJ2ABMJ5Q/action/author_attestation","sign_citation":"https://pith.science/pith/4Y2HA4PJCJFIH3RMVIJ2ABMJ5Q/action/citation_signature","submit_replication":"https://pith.science/pith/4Y2HA4PJCJFIH3RMVIJ2ABMJ5Q/action/replication_record"}},"created_at":"2026-06-10T01:11:14.573223+00:00","updated_at":"2026-06-10T01:11:14.573223+00:00"}