{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:Y2FVMXJHNDUBEXIK3JMHIRZHYZ","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":"978b5527022464bf69a0435d35b7e8d1e926fecd5b8ba65136106f8d4d946514","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-07-22T08:21:22Z","title_canon_sha256":"596b463b8d7465134dabc0b674e8aee36f6881abdfae127c819079e7d5546839"},"schema_version":"1.0","source":{"id":"1007.3822","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.3822","created_at":"2026-05-18T02:53:27Z"},{"alias_kind":"arxiv_version","alias_value":"1007.3822v1","created_at":"2026-05-18T02:53:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.3822","created_at":"2026-05-18T02:53:27Z"},{"alias_kind":"pith_short_12","alias_value":"Y2FVMXJHNDUB","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"Y2FVMXJHNDUBEXIK","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"Y2FVMXJH","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:09f18163c1f4d5230ba71bd54af4d2edb00465ec9cdd43e176d85285fb9bfcc6","target":"graph","created_at":"2026-05-18T02:53:27Z","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 investigate the geometrical and combinatorial structures of multipartite quantum systems based on conifold and toric variety. In particular, we study the relations between resolution of conifold, toric variety, a separable state, and a quantum entangled state for bipartite and multi-qubit states. For example we show that the resolved or deformed conifold is equivalent with the space of a pure entangled two-qubit state. We also generalize this result into multi-qubit states.","authors_text":"Hoshang Heydari","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-07-22T08:21:22Z","title":"Quantum entangled state, resolution of conifold singularity, and toric variety"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.3822","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":"sha256:3f29732865257d80ad51b12985541c122c97aa3de3a559423b42406f9e004068","target":"record","created_at":"2026-05-18T02:53:27Z","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":"978b5527022464bf69a0435d35b7e8d1e926fecd5b8ba65136106f8d4d946514","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-07-22T08:21:22Z","title_canon_sha256":"596b463b8d7465134dabc0b674e8aee36f6881abdfae127c819079e7d5546839"},"schema_version":"1.0","source":{"id":"1007.3822","kind":"arxiv","version":1}},"canonical_sha256":"c68b565d2768e8125d0ada58744727c6657c81d443dc8d2a165e0a85b7da9543","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c68b565d2768e8125d0ada58744727c6657c81d443dc8d2a165e0a85b7da9543","first_computed_at":"2026-05-18T02:53:27.430718Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:53:27.430718Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nldt/I5FtaD6Hcn2zaTLVZXCEa2BiwD2N26DOWa36f3ip8fiA7+VXJoWkOt2WLfp/AIEoBAQhZOdzITj5EKAAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:53:27.431429Z","signed_message":"canonical_sha256_bytes"},"source_id":"1007.3822","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3f29732865257d80ad51b12985541c122c97aa3de3a559423b42406f9e004068","sha256:09f18163c1f4d5230ba71bd54af4d2edb00465ec9cdd43e176d85285fb9bfcc6"],"state_sha256":"06980cc70beab5d3a9baaba65b794b4eddb647e2cf4cdd7d57b47350657b9217"}