{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:7KI7FXKREEKDBYZYO7TZB33WQ4","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":"67a5b98194e77472ae80bfbb69613c07b3146668027c700e96add75c59a55bfc","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2006-04-25T08:15:20Z","title_canon_sha256":"3711aae01a4817967fbb3fcec0efb33ea5745733f0b5647de06e57814e78820d"},"schema_version":"1.0","source":{"id":"quant-ph/0604184","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0604184","created_at":"2026-07-04T17:02:59Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0604184v1","created_at":"2026-07-04T17:02:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0604184","created_at":"2026-07-04T17:02:59Z"},{"alias_kind":"pith_short_12","alias_value":"7KI7FXKREEKD","created_at":"2026-07-04T17:02:59Z"},{"alias_kind":"pith_short_16","alias_value":"7KI7FXKREEKDBYZY","created_at":"2026-07-04T17:02:59Z"},{"alias_kind":"pith_short_8","alias_value":"7KI7FXKR","created_at":"2026-07-04T17:02:59Z"}],"graph_snapshots":[{"event_id":"sha256:bcf57460ef57c0f10bc9220e1aed11153faf0e23ecb969a58dbec5995f7608c4","target":"graph","created_at":"2026-07-04T17:02:59Z","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/quant-ph/0604184/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We give a further investigation of the range criterion and Low-to-High Rank Generating Mode (LHRGM) introduced in \\cite{Chen}, which can be used for the classification of $2\\times{M}\\times{N}$ states under reversible local filtering operations. By using of these techniques, we entirely classify the family of $2\\times4\\times4$ states, which actually contains infinitely many kinds of states. The classifications of true entanglement of $2\\times(M+3)\\times(2M+3)$ and $2\\times(M+4)\\times(2M+4)$ systems are briefly listed respectively.","authors_text":"Lin Chen, Yi-Xin Chen, Yu-Xue Mei","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2006-04-25T08:15:20Z","title":"Classification of multipartite entanglement containing infinitely many kinds of states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0604184","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":"sha256:0eb1a0f8ec008b03d60a251e9a72b5f25e47a102868b4178387e6c4ad8d497b0","target":"record","created_at":"2026-07-04T17:02:59Z","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":"67a5b98194e77472ae80bfbb69613c07b3146668027c700e96add75c59a55bfc","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2006-04-25T08:15:20Z","title_canon_sha256":"3711aae01a4817967fbb3fcec0efb33ea5745733f0b5647de06e57814e78820d"},"schema_version":"1.0","source":{"id":"quant-ph/0604184","kind":"arxiv","version":1}},"canonical_sha256":"fa91f2dd51211430e33877e790ef76870567734a181eb7f41c27b9992c4be299","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fa91f2dd51211430e33877e790ef76870567734a181eb7f41c27b9992c4be299","first_computed_at":"2026-07-04T17:02:59.951760Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:02:59.951760Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SY0g0y7BS0qP/VAe6m+aY1hB8DKW8OLV2hEeb+D4Qjpna7/MGDkfz6YSxV3RVfeA/07hCYhtrFhA96S+A8ZfCg==","signature_status":"signed_v1","signed_at":"2026-07-04T17:02:59.952104Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0604184","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0eb1a0f8ec008b03d60a251e9a72b5f25e47a102868b4178387e6c4ad8d497b0","sha256:bcf57460ef57c0f10bc9220e1aed11153faf0e23ecb969a58dbec5995f7608c4"],"state_sha256":"29b7a2824ae12f3d7b6180c2ffe72118fbfb81a2c38d92a5b454d78a5fb75c3f"}