{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:7R4BKDCPEPASG7OAED3B2FIYYR","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":"15bdbca9eb35cf9110511bf56d8e30f7bc369c9e41c77256b99646926168f1e5","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-08-03T17:57:15Z","title_canon_sha256":"33d3d35b0e3ddbb621164085fc019664dfb9940f4f03061cf40cf1205135dcb8"},"schema_version":"1.0","source":{"id":"2608.02590","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.02590","created_at":"2026-08-04T02:44:19Z"},{"alias_kind":"arxiv_version","alias_value":"2608.02590v1","created_at":"2026-08-04T02:44:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.02590","created_at":"2026-08-04T02:44:19Z"},{"alias_kind":"pith_short_12","alias_value":"7R4BKDCPEPAS","created_at":"2026-08-04T02:44:19Z"},{"alias_kind":"pith_short_16","alias_value":"7R4BKDCPEPASG7OA","created_at":"2026-08-04T02:44:19Z"},{"alias_kind":"pith_short_8","alias_value":"7R4BKDCP","created_at":"2026-08-04T02:44:19Z"}],"graph_snapshots":[{"event_id":"sha256:b634de32fc302893ee0200b38b82a9d22a8b9b3cbdc471544c8e8c0a34450d90","target":"graph","created_at":"2026-08-04T02:44:19Z","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/2608.02590/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove optimal finite quantum de Finetti upper bounds. Given a bosonic state $\\rho_N\\in D(\\mathrm{Sym}^N(\\mathbb C^d))$, there is a probability measure $\\nu$ on the unit sphere such that \\[\n  \\left\\|\n  \\rho_N^{(2)}-\\int |u\\rangle\\langle u|^{\\otimes 2}\\,d\\nu(u)\n  \\right\\|_1\n  \\le \\frac{\\sqrt{d-1}}{N-1}. \\] By purification, the bosonic theorem also gives the optimal $O(d/N)$ upper bound for arbitrary exchangeable states. These results settle the dimension dependence left open by Christandl, K\\\"onig, Mitchison, and Renner (CMP 2007). The proof casts de Finetti approximation as sum-of-squares ro","authors_text":"Fernando Granha Jeronimo, Haochen Xu, Pei Wu","cross_cats":["cs.CC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-08-03T17:57:15Z","title":"Optimal Quantum de Finetti Theorems via Argmax Rounding"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.02590","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":"sha256:9dd1dbe9a566b239066a87d80991a1d47c7dc2a383cf7b1b44639c45a0b9c572","target":"record","created_at":"2026-08-04T02:44:19Z","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":"15bdbca9eb35cf9110511bf56d8e30f7bc369c9e41c77256b99646926168f1e5","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-08-03T17:57:15Z","title_canon_sha256":"33d3d35b0e3ddbb621164085fc019664dfb9940f4f03061cf40cf1205135dcb8"},"schema_version":"1.0","source":{"id":"2608.02590","kind":"arxiv","version":1}},"canonical_sha256":"fc78150c4f23c1237dc020f61d1518c47279b9dd7eced97cc17b44acbd37c087","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc78150c4f23c1237dc020f61d1518c47279b9dd7eced97cc17b44acbd37c087","first_computed_at":"2026-08-04T02:44:19.740079Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-04T02:44:19.740079Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"S+YRcEJWPqpuobsdIjgmKxCHURn37raOK1o3LwkhyxNgFaPQdQGqRUma4u7QE1blGEbYKpH6oQfbz8gYlWfoCQ==","signature_status":"signed_v1","signed_at":"2026-08-04T02:44:19.742371Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.02590","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9dd1dbe9a566b239066a87d80991a1d47c7dc2a383cf7b1b44639c45a0b9c572","sha256:b634de32fc302893ee0200b38b82a9d22a8b9b3cbdc471544c8e8c0a34450d90"],"state_sha256":"ef1b410a448ca7f4ab81118ac91725cca227ce263c962a29ac88392ab2233cd7"}