{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:66FWHGVWOI5MJT6YPBXQRGLW4W","short_pith_number":"pith:66FWHGVW","schema_version":"1.0","canonical_sha256":"f78b639ab6723ac4cfd8786f089976e5933a0fc136b5ebac45f25da0ffeaf942","source":{"kind":"arxiv","id":"2501.15782","version":1},"attestation_state":"computed","paper":{"title":"Online Allocation with Multi-Class Arrivals: Group Fairness vs Individual Welfare","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DS"],"primary_cat":"cs.GT","authors_text":"Bo Sun, Faraz Zargari, Hossein Nekouyan Jazi, Xiaoqi Tan","submitted_at":"2025-01-27T05:02:05Z","abstract_excerpt":"We introduce and study a multi-class online resource allocation problem with group fairness guarantees. The problem involves allocating a fixed amount of resources to a sequence of agents, each belonging to a specific group. The primary objective is to ensure fairness across different groups in an online setting. We focus on three fairness notions: one based on quantity and two based on utility. To achieve fair allocations, we develop two threshold-based online algorithms, proving their optimality under two fairness notions and near-optimality for the more challenging one. Additionally, we dem"},"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":"2501.15782","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2025-01-27T05:02:05Z","cross_cats_sorted":["cs.DS"],"title_canon_sha256":"4250c9bd6950a12ac26d00f8269bd154070f40e8ae3b86326c36cad55dd8aee1","abstract_canon_sha256":"57801669fe6c0781560570a113f7f4d742c85cdfab618f8d6c80dba3b16613f7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:05:50.471109Z","signature_b64":"Q0S0wJBZ3CwJ3VUap5mDtBzGbPHZrcaGlxtqKb3bsA9Caf9MybYY2W8ZOYSa9yr9AgpU1PGOWURibe9FglzvCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f78b639ab6723ac4cfd8786f089976e5933a0fc136b5ebac45f25da0ffeaf942","last_reissued_at":"2026-07-05T10:05:50.470484Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:05:50.470484Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Online Allocation with Multi-Class Arrivals: Group Fairness vs Individual Welfare","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DS"],"primary_cat":"cs.GT","authors_text":"Bo Sun, Faraz Zargari, Hossein Nekouyan Jazi, Xiaoqi Tan","submitted_at":"2025-01-27T05:02:05Z","abstract_excerpt":"We introduce and study a multi-class online resource allocation problem with group fairness guarantees. The problem involves allocating a fixed amount of resources to a sequence of agents, each belonging to a specific group. The primary objective is to ensure fairness across different groups in an online setting. We focus on three fairness notions: one based on quantity and two based on utility. To achieve fair allocations, we develop two threshold-based online algorithms, proving their optimality under two fairness notions and near-optimality for the more challenging one. Additionally, we dem"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.15782","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/2501.15782/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":"2501.15782","created_at":"2026-07-05T10:05:50.470570+00:00"},{"alias_kind":"arxiv_version","alias_value":"2501.15782v1","created_at":"2026-07-05T10:05:50.470570+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.15782","created_at":"2026-07-05T10:05:50.470570+00:00"},{"alias_kind":"pith_short_12","alias_value":"66FWHGVWOI5M","created_at":"2026-07-05T10:05:50.470570+00:00"},{"alias_kind":"pith_short_16","alias_value":"66FWHGVWOI5MJT6Y","created_at":"2026-07-05T10:05:50.470570+00:00"},{"alias_kind":"pith_short_8","alias_value":"66FWHGVW","created_at":"2026-07-05T10:05:50.470570+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/66FWHGVWOI5MJT6YPBXQRGLW4W","json":"https://pith.science/pith/66FWHGVWOI5MJT6YPBXQRGLW4W.json","graph_json":"https://pith.science/api/pith-number/66FWHGVWOI5MJT6YPBXQRGLW4W/graph.json","events_json":"https://pith.science/api/pith-number/66FWHGVWOI5MJT6YPBXQRGLW4W/events.json","paper":"https://pith.science/paper/66FWHGVW"},"agent_actions":{"view_html":"https://pith.science/pith/66FWHGVWOI5MJT6YPBXQRGLW4W","download_json":"https://pith.science/pith/66FWHGVWOI5MJT6YPBXQRGLW4W.json","view_paper":"https://pith.science/paper/66FWHGVW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2501.15782&json=true","fetch_graph":"https://pith.science/api/pith-number/66FWHGVWOI5MJT6YPBXQRGLW4W/graph.json","fetch_events":"https://pith.science/api/pith-number/66FWHGVWOI5MJT6YPBXQRGLW4W/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/66FWHGVWOI5MJT6YPBXQRGLW4W/action/timestamp_anchor","attest_storage":"https://pith.science/pith/66FWHGVWOI5MJT6YPBXQRGLW4W/action/storage_attestation","attest_author":"https://pith.science/pith/66FWHGVWOI5MJT6YPBXQRGLW4W/action/author_attestation","sign_citation":"https://pith.science/pith/66FWHGVWOI5MJT6YPBXQRGLW4W/action/citation_signature","submit_replication":"https://pith.science/pith/66FWHGVWOI5MJT6YPBXQRGLW4W/action/replication_record"}},"created_at":"2026-07-05T10:05:50.470570+00:00","updated_at":"2026-07-05T10:05:50.470570+00:00"}