{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:2XYT5LVWRY63OZGWGTU7SWZ75U","short_pith_number":"pith:2XYT5LVW","schema_version":"1.0","canonical_sha256":"d5f13eaeb68e3db764d634e9f95b3fed196de6ffa7df54a48df24406f58e37c0","source":{"kind":"arxiv","id":"2202.04103","version":1},"attestation_state":"computed","paper":{"title":"Outer approximations of classical multi-network correlations","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.ST","stat.ME","stat.TH"],"primary_cat":"quant-ph","authors_text":"Victor Gitton","submitted_at":"2022-02-08T19:12:34Z","abstract_excerpt":"We propose a framework, named the postselected inflation framework, to obtain converging outer approximations of the sets of probability distributions that are compatible with classical multi-network scenarios. Here, a network is a bilayer directed acyclic graph with a layer of sources of classical randomness, a layer of agents, and edges specifying the connectivity between the agents and the sources. A multi-network scenario is a list of such networks, together with a specification of subsets of agents using the same strategy. An outer approximation of the set of multi-network correlations pr"},"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":"2202.04103","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-02-08T19:12:34Z","cross_cats_sorted":["math.ST","stat.ME","stat.TH"],"title_canon_sha256":"a077cb8bd2c59c98db1d39770aef8bcf4ee0818f6787e526ae3bab60ca508b18","abstract_canon_sha256":"1886da01f5f2196001cf45ca9afec92fd85b1413484bdb7e5a693ad170f9c4ec"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:55:33.607521Z","signature_b64":"HGvTCH0nGao6JeQYyYqcbnE1HfVesoNt/hV7qqqLHqWzlJJSB/uFLY8Pg41DUeTdMaFhJKiYjc/91aIW/vDqDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d5f13eaeb68e3db764d634e9f95b3fed196de6ffa7df54a48df24406f58e37c0","last_reissued_at":"2026-07-05T03:55:33.607070Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:55:33.607070Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Outer approximations of classical multi-network correlations","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.ST","stat.ME","stat.TH"],"primary_cat":"quant-ph","authors_text":"Victor Gitton","submitted_at":"2022-02-08T19:12:34Z","abstract_excerpt":"We propose a framework, named the postselected inflation framework, to obtain converging outer approximations of the sets of probability distributions that are compatible with classical multi-network scenarios. Here, a network is a bilayer directed acyclic graph with a layer of sources of classical randomness, a layer of agents, and edges specifying the connectivity between the agents and the sources. A multi-network scenario is a list of such networks, together with a specification of subsets of agents using the same strategy. An outer approximation of the set of multi-network correlations pr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.04103","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/2202.04103/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":"2202.04103","created_at":"2026-07-05T03:55:33.607133+00:00"},{"alias_kind":"arxiv_version","alias_value":"2202.04103v1","created_at":"2026-07-05T03:55:33.607133+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.04103","created_at":"2026-07-05T03:55:33.607133+00:00"},{"alias_kind":"pith_short_12","alias_value":"2XYT5LVWRY63","created_at":"2026-07-05T03:55:33.607133+00:00"},{"alias_kind":"pith_short_16","alias_value":"2XYT5LVWRY63OZGW","created_at":"2026-07-05T03:55:33.607133+00:00"},{"alias_kind":"pith_short_8","alias_value":"2XYT5LVW","created_at":"2026-07-05T03:55:33.607133+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/2XYT5LVWRY63OZGWGTU7SWZ75U","json":"https://pith.science/pith/2XYT5LVWRY63OZGWGTU7SWZ75U.json","graph_json":"https://pith.science/api/pith-number/2XYT5LVWRY63OZGWGTU7SWZ75U/graph.json","events_json":"https://pith.science/api/pith-number/2XYT5LVWRY63OZGWGTU7SWZ75U/events.json","paper":"https://pith.science/paper/2XYT5LVW"},"agent_actions":{"view_html":"https://pith.science/pith/2XYT5LVWRY63OZGWGTU7SWZ75U","download_json":"https://pith.science/pith/2XYT5LVWRY63OZGWGTU7SWZ75U.json","view_paper":"https://pith.science/paper/2XYT5LVW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2202.04103&json=true","fetch_graph":"https://pith.science/api/pith-number/2XYT5LVWRY63OZGWGTU7SWZ75U/graph.json","fetch_events":"https://pith.science/api/pith-number/2XYT5LVWRY63OZGWGTU7SWZ75U/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2XYT5LVWRY63OZGWGTU7SWZ75U/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2XYT5LVWRY63OZGWGTU7SWZ75U/action/storage_attestation","attest_author":"https://pith.science/pith/2XYT5LVWRY63OZGWGTU7SWZ75U/action/author_attestation","sign_citation":"https://pith.science/pith/2XYT5LVWRY63OZGWGTU7SWZ75U/action/citation_signature","submit_replication":"https://pith.science/pith/2XYT5LVWRY63OZGWGTU7SWZ75U/action/replication_record"}},"created_at":"2026-07-05T03:55:33.607133+00:00","updated_at":"2026-07-05T03:55:33.607133+00:00"}