{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:4WGOQ4XDPAI75OYSCXEXODQXL7","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":"431581647a2f409a00c59f71667d9ba54dec15ae77b0c5c3668c9fa9559082b5","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-07-27T18:45:17Z","title_canon_sha256":"d5b2440655f1a19c9277fe0895e91981c7f038dd1ef1a64f99cd690f67e1bb00"},"schema_version":"1.0","source":{"id":"1507.07521","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.07521","created_at":"2026-05-18T01:28:53Z"},{"alias_kind":"arxiv_version","alias_value":"1507.07521v1","created_at":"2026-05-18T01:28:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.07521","created_at":"2026-05-18T01:28:53Z"},{"alias_kind":"pith_short_12","alias_value":"4WGOQ4XDPAI7","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"4WGOQ4XDPAI75OYS","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"4WGOQ4XD","created_at":"2026-05-18T12:29:05Z"}],"graph_snapshots":[{"event_id":"sha256:25cf80efd1c5c6ad81d670dadaf67d897aba0940b228fbccbb8655d2260a416b","target":"graph","created_at":"2026-05-18T01:28:53Z","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 study and extend the semidefinite programming (SDP) hierarchies introduced in [Phys. Rev. Lett. 115, 020501] for the characterization of the statistical correlations arising from finite dimensional quantum systems. First, we introduce the dimension-constrained noncommutative polynomial optimization (NPO) paradigm, where a number of polynomial inequalities are defined and optimization is conducted over all feasible operator representations of bounded dimensionality. Important problems in device independent and semi-device independent quantum information science can be formulated (or almost f","authors_text":"Adrien Feix, Mateus Araujo, Miguel Navascues, Tamas Vertesi","cross_cats":["math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-07-27T18:45:17Z","title":"Characterizing finite-dimensional quantum behavior"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.07521","kind":"arxiv","version":1},"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":"sha256:74da7ae4b0fbf5544ab66a176911c9f55478d7bc3a22ccac78184a8105d70a96","target":"record","created_at":"2026-05-18T01:28:53Z","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":"431581647a2f409a00c59f71667d9ba54dec15ae77b0c5c3668c9fa9559082b5","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-07-27T18:45:17Z","title_canon_sha256":"d5b2440655f1a19c9277fe0895e91981c7f038dd1ef1a64f99cd690f67e1bb00"},"schema_version":"1.0","source":{"id":"1507.07521","kind":"arxiv","version":1}},"canonical_sha256":"e58ce872e37811febb1215c9770e175fd7dfa54488854458e85356134cf2c88e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e58ce872e37811febb1215c9770e175fd7dfa54488854458e85356134cf2c88e","first_computed_at":"2026-05-18T01:28:53.135455Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:28:53.135455Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O/oI8faqN+YrimOGNgur5mNzJb+ixSFplcXjGkdVwYiJYRnzZUXhZRAg5EKWrHEMeN/wxIzLhTJ5T2d0zhhZCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:28:53.136053Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.07521","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:74da7ae4b0fbf5544ab66a176911c9f55478d7bc3a22ccac78184a8105d70a96","sha256:25cf80efd1c5c6ad81d670dadaf67d897aba0940b228fbccbb8655d2260a416b"],"state_sha256":"0d21b71a708445ef63d5f5a3bd002cf5a25816977e9db1fc89c7d9dcdaa824fb"}