{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:SWTMMGXLRDYUCBD2FDL5PU3R2Q","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":"e943d7efa08ef27ba7a6f515fb744f2dc6e1f4e5616549912a83c6a9aa08f134","cross_cats_sorted":["math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-07-11T16:33:22Z","title_canon_sha256":"89a3dc8c94fcf6d93db8e6aa4b009b40aab5c45bc3c214c9b83bc5352a9622fd"},"schema_version":"1.0","source":{"id":"1307.3168","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.3168","created_at":"2026-05-18T01:23:21Z"},{"alias_kind":"arxiv_version","alias_value":"1307.3168v3","created_at":"2026-05-18T01:23:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.3168","created_at":"2026-05-18T01:23:21Z"},{"alias_kind":"pith_short_12","alias_value":"SWTMMGXLRDYU","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"SWTMMGXLRDYUCBD2","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"SWTMMGXL","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:2555aeeac9a12f27cbd21ee41400cca3fc5b64a16b8be8ec1d2c2d178b3f6c4d","target":"graph","created_at":"2026-05-18T01:23:21Z","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 present a new, simpler proof of the unconditional uniqueness of solutions to the cubic Gross-Pitaevskii hierarchy in $\\R^3$. One of the main tools in our analysis is the quantum de Finetti theorem. Our uniqueness result is equivalent to the one established in the celebrated works of Erd\\\"os, Schlein and Yau, \\cite{esy1,esy2,esy3,esy4}.","authors_text":"Christian Hainzl, Natasa Pavlovic, Robert Seiringer, Thomas Chen","cross_cats":["math.AP","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-07-11T16:33:22Z","title":"Unconditional uniqueness for the cubic Gross-Pitaevskii hierarchy via quantum de Finetti"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.3168","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":"sha256:5a825735bd7f6dc328efa087ca26c9814c6c3cf3bf0243965f5180f09066e747","target":"record","created_at":"2026-05-18T01:23:21Z","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":"e943d7efa08ef27ba7a6f515fb744f2dc6e1f4e5616549912a83c6a9aa08f134","cross_cats_sorted":["math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-07-11T16:33:22Z","title_canon_sha256":"89a3dc8c94fcf6d93db8e6aa4b009b40aab5c45bc3c214c9b83bc5352a9622fd"},"schema_version":"1.0","source":{"id":"1307.3168","kind":"arxiv","version":3}},"canonical_sha256":"95a6c61aeb88f141047a28d7d7d371d408711f7dad0a1009c30a880d528f67ff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"95a6c61aeb88f141047a28d7d7d371d408711f7dad0a1009c30a880d528f67ff","first_computed_at":"2026-05-18T01:23:21.037801Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:21.037801Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"G0iK+6olC6z6EvzIzGtrmnfWRG2qsByXeMvF7BM1ZFr7b4qJ6nQWv3+7FzUc9bz+B4hJZf/iL82NpGjGVAtYDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:21.038526Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.3168","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5a825735bd7f6dc328efa087ca26c9814c6c3cf3bf0243965f5180f09066e747","sha256:2555aeeac9a12f27cbd21ee41400cca3fc5b64a16b8be8ec1d2c2d178b3f6c4d"],"state_sha256":"6e39f7c0da5740c534646916c07b1d0ca18d1f4c2aba9c4e7d20a47953a2d3d3"}