{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:Z4D2IK7V7MULXAW75RA5GE5KZ6","short_pith_number":"pith:Z4D2IK7V","schema_version":"1.0","canonical_sha256":"cf07a42bf5fb28bb82dfec41d313aacf88ec614ea773fe6ed5b7b4fc0e428c6e","source":{"kind":"arxiv","id":"1408.2690","version":1},"attestation_state":"computed","paper":{"title":"Fast Convex Decomposition for Truthful Social Welfare Approximation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.GT","authors_text":"Dennis Kraft, Martin Bichler, Salman Fadaei","submitted_at":"2014-08-12T11:08:29Z","abstract_excerpt":"Approximating the optimal social welfare while preserving truthfulness is a well studied problem in algorithmic mechanism design. Assuming that the social welfare of a given mechanism design problem can be optimized by an integer program whose integrality gap is at most $\\alpha$, Lavi and Swamy~\\cite{Lavi11} propose a general approach to designing a randomized $\\alpha$-approximation mechanism which is truthful in expectation. Their method is based on decomposing an optimal solution for the relaxed linear program into a convex combination of integer solutions. Unfortunately, Lavi and Swamy's de"},"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":"1408.2690","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2014-08-12T11:08:29Z","cross_cats_sorted":[],"title_canon_sha256":"a78bb01e9c738a57c269f9052b188bb16afcc1469756fa97ecffd88467aa64ed","abstract_canon_sha256":"75b851761e010580c198e0a0ef5439d8cef8ce273a65b2450c0391531ace6dba"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:45:22.516490Z","signature_b64":"iC5A3RuRYbpuA9+bbPIFyohHdkC/c/L7oe5KykMR1lvO1UtiDnmoGivj8QWMqkLYTDJ10aN7JwvQqscFDPOGBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cf07a42bf5fb28bb82dfec41d313aacf88ec614ea773fe6ed5b7b4fc0e428c6e","last_reissued_at":"2026-05-18T02:45:22.516076Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:45:22.516076Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fast Convex Decomposition for Truthful Social Welfare Approximation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.GT","authors_text":"Dennis Kraft, Martin Bichler, Salman Fadaei","submitted_at":"2014-08-12T11:08:29Z","abstract_excerpt":"Approximating the optimal social welfare while preserving truthfulness is a well studied problem in algorithmic mechanism design. Assuming that the social welfare of a given mechanism design problem can be optimized by an integer program whose integrality gap is at most $\\alpha$, Lavi and Swamy~\\cite{Lavi11} propose a general approach to designing a randomized $\\alpha$-approximation mechanism which is truthful in expectation. Their method is based on decomposing an optimal solution for the relaxed linear program into a convex combination of integer solutions. Unfortunately, Lavi and Swamy's de"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.2690","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":"1408.2690","created_at":"2026-05-18T02:45:22.516132+00:00"},{"alias_kind":"arxiv_version","alias_value":"1408.2690v1","created_at":"2026-05-18T02:45:22.516132+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.2690","created_at":"2026-05-18T02:45:22.516132+00:00"},{"alias_kind":"pith_short_12","alias_value":"Z4D2IK7V7MUL","created_at":"2026-05-18T12:28:59.999130+00:00"},{"alias_kind":"pith_short_16","alias_value":"Z4D2IK7V7MULXAW7","created_at":"2026-05-18T12:28:59.999130+00:00"},{"alias_kind":"pith_short_8","alias_value":"Z4D2IK7V","created_at":"2026-05-18T12:28:59.999130+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/Z4D2IK7V7MULXAW75RA5GE5KZ6","json":"https://pith.science/pith/Z4D2IK7V7MULXAW75RA5GE5KZ6.json","graph_json":"https://pith.science/api/pith-number/Z4D2IK7V7MULXAW75RA5GE5KZ6/graph.json","events_json":"https://pith.science/api/pith-number/Z4D2IK7V7MULXAW75RA5GE5KZ6/events.json","paper":"https://pith.science/paper/Z4D2IK7V"},"agent_actions":{"view_html":"https://pith.science/pith/Z4D2IK7V7MULXAW75RA5GE5KZ6","download_json":"https://pith.science/pith/Z4D2IK7V7MULXAW75RA5GE5KZ6.json","view_paper":"https://pith.science/paper/Z4D2IK7V","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1408.2690&json=true","fetch_graph":"https://pith.science/api/pith-number/Z4D2IK7V7MULXAW75RA5GE5KZ6/graph.json","fetch_events":"https://pith.science/api/pith-number/Z4D2IK7V7MULXAW75RA5GE5KZ6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Z4D2IK7V7MULXAW75RA5GE5KZ6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Z4D2IK7V7MULXAW75RA5GE5KZ6/action/storage_attestation","attest_author":"https://pith.science/pith/Z4D2IK7V7MULXAW75RA5GE5KZ6/action/author_attestation","sign_citation":"https://pith.science/pith/Z4D2IK7V7MULXAW75RA5GE5KZ6/action/citation_signature","submit_replication":"https://pith.science/pith/Z4D2IK7V7MULXAW75RA5GE5KZ6/action/replication_record"}},"created_at":"2026-05-18T02:45:22.516132+00:00","updated_at":"2026-05-18T02:45:22.516132+00:00"}