{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:K2GPWSMP3LOA7IU53PJC2MOYXJ","short_pith_number":"pith:K2GPWSMP","schema_version":"1.0","canonical_sha256":"568cfb498fdadc0fa29ddbd22d31d8ba6d9a55f53002d2dc05415e1b415fbfc7","source":{"kind":"arxiv","id":"2412.05143","version":1},"attestation_state":"computed","paper":{"title":"A Parametric, Second-Order Cone Representable Model of Fairness for Decision-Making Problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CY"],"primary_cat":"math.OC","authors_text":"Deepjyoti Deka, Kaarthik Sundar, Russell Bent","submitted_at":"2024-12-06T15:59:48Z","abstract_excerpt":"The article develops a parametric model of fairness called \"$\\varepsilon$-fairness\" that can be represented using a single second-order cone constraint and incorporated into existing decision-making problem formulations without impacting the complexity of solution techniques. We develop the model from the fundamental result of finite-dimensional norm equivalence in linear algebra and show that this model has a closed-form relationship to an existing metric for measuring fairness widely used in the literature. Finally, a simple case study on the optimal operation of a damaged power transmission"},"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":"2412.05143","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2024-12-06T15:59:48Z","cross_cats_sorted":["cs.CY"],"title_canon_sha256":"c9a51294db4e65ec06ba374e8166643cf841573da64d6d8a19d255568bff9a20","abstract_canon_sha256":"f8dd1df096418bc36839159ddd0719809028cb799d31216697440957c2a08922"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:45:29.052010Z","signature_b64":"iVtC3wr8ASuJN6KOXJmom0tARHgZGyF8aTMfb3xRFs11CSESyglLQ0yKSr/Mwo4qim0gtaYnnNGDkmX/TmeuDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"568cfb498fdadc0fa29ddbd22d31d8ba6d9a55f53002d2dc05415e1b415fbfc7","last_reissued_at":"2026-07-05T09:45:29.051525Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:45:29.051525Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Parametric, Second-Order Cone Representable Model of Fairness for Decision-Making Problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CY"],"primary_cat":"math.OC","authors_text":"Deepjyoti Deka, Kaarthik Sundar, Russell Bent","submitted_at":"2024-12-06T15:59:48Z","abstract_excerpt":"The article develops a parametric model of fairness called \"$\\varepsilon$-fairness\" that can be represented using a single second-order cone constraint and incorporated into existing decision-making problem formulations without impacting the complexity of solution techniques. We develop the model from the fundamental result of finite-dimensional norm equivalence in linear algebra and show that this model has a closed-form relationship to an existing metric for measuring fairness widely used in the literature. Finally, a simple case study on the optimal operation of a damaged power transmission"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.05143","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/2412.05143/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":"2412.05143","created_at":"2026-07-05T09:45:29.051590+00:00"},{"alias_kind":"arxiv_version","alias_value":"2412.05143v1","created_at":"2026-07-05T09:45:29.051590+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.05143","created_at":"2026-07-05T09:45:29.051590+00:00"},{"alias_kind":"pith_short_12","alias_value":"K2GPWSMP3LOA","created_at":"2026-07-05T09:45:29.051590+00:00"},{"alias_kind":"pith_short_16","alias_value":"K2GPWSMP3LOA7IU5","created_at":"2026-07-05T09:45:29.051590+00:00"},{"alias_kind":"pith_short_8","alias_value":"K2GPWSMP","created_at":"2026-07-05T09:45:29.051590+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/K2GPWSMP3LOA7IU53PJC2MOYXJ","json":"https://pith.science/pith/K2GPWSMP3LOA7IU53PJC2MOYXJ.json","graph_json":"https://pith.science/api/pith-number/K2GPWSMP3LOA7IU53PJC2MOYXJ/graph.json","events_json":"https://pith.science/api/pith-number/K2GPWSMP3LOA7IU53PJC2MOYXJ/events.json","paper":"https://pith.science/paper/K2GPWSMP"},"agent_actions":{"view_html":"https://pith.science/pith/K2GPWSMP3LOA7IU53PJC2MOYXJ","download_json":"https://pith.science/pith/K2GPWSMP3LOA7IU53PJC2MOYXJ.json","view_paper":"https://pith.science/paper/K2GPWSMP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2412.05143&json=true","fetch_graph":"https://pith.science/api/pith-number/K2GPWSMP3LOA7IU53PJC2MOYXJ/graph.json","fetch_events":"https://pith.science/api/pith-number/K2GPWSMP3LOA7IU53PJC2MOYXJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/K2GPWSMP3LOA7IU53PJC2MOYXJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/K2GPWSMP3LOA7IU53PJC2MOYXJ/action/storage_attestation","attest_author":"https://pith.science/pith/K2GPWSMP3LOA7IU53PJC2MOYXJ/action/author_attestation","sign_citation":"https://pith.science/pith/K2GPWSMP3LOA7IU53PJC2MOYXJ/action/citation_signature","submit_replication":"https://pith.science/pith/K2GPWSMP3LOA7IU53PJC2MOYXJ/action/replication_record"}},"created_at":"2026-07-05T09:45:29.051590+00:00","updated_at":"2026-07-05T09:45:29.051590+00:00"}