{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:ATOYHFZWBYMIYYZ6LRSISOMC2C","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"645da0d7ccde05e446edb232a3bb94257afe9b8ebed8842803fb9e73796c7765","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2021-06-29T04:19:16Z","title_canon_sha256":"560b939c5f90529c018d70261b1bff81059699ab5242081b1c26518f6df0d3fd"},"schema_version":"1.0","source":{"id":"2106.15084","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2106.15084","created_at":"2026-07-05T10:44:34Z"},{"alias_kind":"arxiv_version","alias_value":"2106.15084v3","created_at":"2026-07-05T10:44:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2106.15084","created_at":"2026-07-05T10:44:34Z"},{"alias_kind":"pith_short_12","alias_value":"ATOYHFZWBYMI","created_at":"2026-07-05T10:44:34Z"},{"alias_kind":"pith_short_16","alias_value":"ATOYHFZWBYMIYYZ6","created_at":"2026-07-05T10:44:34Z"},{"alias_kind":"pith_short_8","alias_value":"ATOYHFZW","created_at":"2026-07-05T10:44:34Z"}],"graph_snapshots":[{"event_id":"sha256:324087e4569557b1f7ef6bc8ca247c57e908d760c167360d0e317dd1ec1824e5","target":"graph","created_at":"2026-07-05T10:44:34Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2106.15084/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The share-of-choice product design (SOCPD) problem is to find the product, as defined by its attributes, that maximizes market share arising from a collection of customer types or segments. When customers follow a logit model of choice, the market share is given by a weighted sum of logistic probabilities, leading to the logit-based share-of-choice product design problem. In this paper, we develop a methodology for solving this problem to provable optimality. We first analyze the complexity of this problem, and show that this problem is theoretically intractable: it is NP-Hard to solve exactly","authors_text":"\\.Irem Akchen, Velibor V. Mi\\v{s}i\\'c","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2021-06-29T04:19:16Z","title":"Exact Logit-Based Product Design"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2106.15084","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:4bf10c9b3f120eaec1205317dcaeb3eaa1f1b02d320d0c7baf5489e7a4d8228d","target":"record","created_at":"2026-07-05T10:44:34Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"645da0d7ccde05e446edb232a3bb94257afe9b8ebed8842803fb9e73796c7765","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2021-06-29T04:19:16Z","title_canon_sha256":"560b939c5f90529c018d70261b1bff81059699ab5242081b1c26518f6df0d3fd"},"schema_version":"1.0","source":{"id":"2106.15084","kind":"arxiv","version":3}},"canonical_sha256":"04dd8397360e188c633e5c64893982d08689378d105ccf094ebca6bc5a1e7d8f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"04dd8397360e188c633e5c64893982d08689378d105ccf094ebca6bc5a1e7d8f","first_computed_at":"2026-07-05T10:44:34.917655Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:44:34.917655Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xvS3VKs2eLHXVJ+0RRm+CGWuFVAgd2oMdnNDzg1ivcDl1EnrYTxOIl3YhskrvMyvfMSDP6BWxzTWfgzlVbRuCw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:44:34.918221Z","signed_message":"canonical_sha256_bytes"},"source_id":"2106.15084","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4bf10c9b3f120eaec1205317dcaeb3eaa1f1b02d320d0c7baf5489e7a4d8228d","sha256:324087e4569557b1f7ef6bc8ca247c57e908d760c167360d0e317dd1ec1824e5"],"state_sha256":"1123322d42655d6248f6cf76c8b1b4bf10e3301009d01e51e67ee0d384afaefc"}