{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:FBBMJGVFM26QFLE5WVS7PXHSNS","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":"9b08baa14a76950209b3e2a7b862d274f43eab1ddc53656c850226d13a9fd8d4","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2018-06-04T05:28:33Z","title_canon_sha256":"7de0f7ad1aa5dff9b5150d0fe740220fb0819b916c6474ef82f8315aa81a7971"},"schema_version":"1.0","source":{"id":"1806.00960","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.00960","created_at":"2026-05-17T23:53:51Z"},{"alias_kind":"arxiv_version","alias_value":"1806.00960v2","created_at":"2026-05-17T23:53:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.00960","created_at":"2026-05-17T23:53:51Z"},{"alias_kind":"pith_short_12","alias_value":"FBBMJGVFM26Q","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"FBBMJGVFM26QFLE5","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"FBBMJGVF","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:e5246bf7db891d56fa4619612311ee976c0e0b345841083f34a200ad4f610bc5","target":"graph","created_at":"2026-05-17T23:53:51Z","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"},"paper":{"abstract_excerpt":"We initiate the study of the capacity constrained facility location problem from a mechanism design perspective. The capacity constrained setting leads to a new strategic environment where a facility serves a subset of the population, which is endogenously determined by the ex-post Nash equilibrium of an induced subgame and is not directly controlled by the mechanism designer. Our focus is on mechanisms that are ex-post dominant-strategy incentive compatible (DIC) at the reporting stage. We provide a complete characterization of DIC mechanisms via the family of Generalized Median Mechanisms (G","authors_text":"Barton E. Lee, David C. Parkes, Haris Aziz, Hau Chan","cross_cats":["cs.AI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2018-06-04T05:28:33Z","title":"The Capacity Constrained Facility Location problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.00960","kind":"arxiv","version":2},"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:df38bb4fbfbace07c825121cc5fdd93d9f7cef426ddc6218e4866c0f939101d5","target":"record","created_at":"2026-05-17T23:53:51Z","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":"9b08baa14a76950209b3e2a7b862d274f43eab1ddc53656c850226d13a9fd8d4","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2018-06-04T05:28:33Z","title_canon_sha256":"7de0f7ad1aa5dff9b5150d0fe740220fb0819b916c6474ef82f8315aa81a7971"},"schema_version":"1.0","source":{"id":"1806.00960","kind":"arxiv","version":2}},"canonical_sha256":"2842c49aa566bd02ac9db565f7dcf26ca5df3953e0ae9aa9efd400a08162d44d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2842c49aa566bd02ac9db565f7dcf26ca5df3953e0ae9aa9efd400a08162d44d","first_computed_at":"2026-05-17T23:53:51.270687Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:51.270687Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PM2p82/IZUvtcbVWg6ttXsRxaAeovmaEM6ugB1YMDDwDexfDxxHhcuKckpG3PIlXATX5oEBGRsMoRed0azDWDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:51.271450Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.00960","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:df38bb4fbfbace07c825121cc5fdd93d9f7cef426ddc6218e4866c0f939101d5","sha256:e5246bf7db891d56fa4619612311ee976c0e0b345841083f34a200ad4f610bc5"],"state_sha256":"d8275694aadf48e7f713334814b475cd9e8e605e2eaf7f234c6cfae13dbc8f1f"}