{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:JJNXYA7U4I7YPOEIWR4MDDU3QP","short_pith_number":"pith:JJNXYA7U","canonical_record":{"source":{"id":"1112.3754","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-12-16T10:46:41Z","cross_cats_sorted":[],"title_canon_sha256":"b676f53a8b49dd3bb7695d724477b9a3e99bf7ce44d71a70c2c3a2814cdeb767","abstract_canon_sha256":"a692375606c98cdcfbd9e4012b189c55aac7c7422874654408b40181d7dc2d9a"},"schema_version":"1.0"},"canonical_sha256":"4a5b7c03f4e23f87b888b478c18e9b83ceffbba04fc7c4cae162236b2821bf91","source":{"kind":"arxiv","id":"1112.3754","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.3754","created_at":"2026-05-18T01:59:08Z"},{"alias_kind":"arxiv_version","alias_value":"1112.3754v1","created_at":"2026-05-18T01:59:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.3754","created_at":"2026-05-18T01:59:08Z"},{"alias_kind":"pith_short_12","alias_value":"JJNXYA7U4I7Y","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"JJNXYA7U4I7YPOEI","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"JJNXYA7U","created_at":"2026-05-18T12:26:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:JJNXYA7U4I7YPOEIWR4MDDU3QP","target":"record","payload":{"canonical_record":{"source":{"id":"1112.3754","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-12-16T10:46:41Z","cross_cats_sorted":[],"title_canon_sha256":"b676f53a8b49dd3bb7695d724477b9a3e99bf7ce44d71a70c2c3a2814cdeb767","abstract_canon_sha256":"a692375606c98cdcfbd9e4012b189c55aac7c7422874654408b40181d7dc2d9a"},"schema_version":"1.0"},"canonical_sha256":"4a5b7c03f4e23f87b888b478c18e9b83ceffbba04fc7c4cae162236b2821bf91","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:59:08.700125Z","signature_b64":"tOlRTm8uGg/kYt6qlqQZwNS5AH7vWb8fBaYi/5gXrgNWndBaCgN+i82fl0AC063SLb1n/KPJYOmMPN5eWZApAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4a5b7c03f4e23f87b888b478c18e9b83ceffbba04fc7c4cae162236b2821bf91","last_reissued_at":"2026-05-18T01:59:08.699362Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:59:08.699362Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1112.3754","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:59:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"it6TK7hYsd2vJEQo7kUp2AiZBM0g9YgWZ1kHBgFwnJ/m9SOqvjcKT/sk9TICjbxkP+Pgy9HVbUlXl/GkFhvYAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T08:01:58.477971Z"},"content_sha256":"2de4b77dcd5365780b1baaab229456291f8380138a066b8a3b622c8b321a1328","schema_version":"1.0","event_id":"sha256:2de4b77dcd5365780b1baaab229456291f8380138a066b8a3b622c8b321a1328"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:JJNXYA7U4I7YPOEIWR4MDDU3QP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Geometrical structures of multipartite quantum systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Hoshang Heydari","submitted_at":"2011-12-16T10:46:41Z","abstract_excerpt":"In this paper I will investigate geometrical structures of multipartite quantum systems based on complex projective varieties. These varieties are important in characterization of quantum entangled states. In particular I will establish relation between multi-projective Segre varieties and multip-qubit quantum states. I also will discuss other geometrical approaches such as toric varieties to visualize complex multipartite quantum systems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.3754","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:59:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zBVl8/POv6Ede7G/i89tx79uG79h3K48gHP1qKrQkX3FEp1yr042DZBmFrI6UBQ/rGYsRfcrELNtxfrew69xDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T08:01:58.478592Z"},"content_sha256":"10549b381709b8b1fce6c2c68b1676966b6ca0cad6147dc78027b08a0b32c532","schema_version":"1.0","event_id":"sha256:10549b381709b8b1fce6c2c68b1676966b6ca0cad6147dc78027b08a0b32c532"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JJNXYA7U4I7YPOEIWR4MDDU3QP/bundle.json","state_url":"https://pith.science/pith/JJNXYA7U4I7YPOEIWR4MDDU3QP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JJNXYA7U4I7YPOEIWR4MDDU3QP/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-03T08:01:58Z","links":{"resolver":"https://pith.science/pith/JJNXYA7U4I7YPOEIWR4MDDU3QP","bundle":"https://pith.science/pith/JJNXYA7U4I7YPOEIWR4MDDU3QP/bundle.json","state":"https://pith.science/pith/JJNXYA7U4I7YPOEIWR4MDDU3QP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JJNXYA7U4I7YPOEIWR4MDDU3QP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:JJNXYA7U4I7YPOEIWR4MDDU3QP","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":"a692375606c98cdcfbd9e4012b189c55aac7c7422874654408b40181d7dc2d9a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-12-16T10:46:41Z","title_canon_sha256":"b676f53a8b49dd3bb7695d724477b9a3e99bf7ce44d71a70c2c3a2814cdeb767"},"schema_version":"1.0","source":{"id":"1112.3754","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.3754","created_at":"2026-05-18T01:59:08Z"},{"alias_kind":"arxiv_version","alias_value":"1112.3754v1","created_at":"2026-05-18T01:59:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.3754","created_at":"2026-05-18T01:59:08Z"},{"alias_kind":"pith_short_12","alias_value":"JJNXYA7U4I7Y","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"JJNXYA7U4I7YPOEI","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"JJNXYA7U","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:10549b381709b8b1fce6c2c68b1676966b6ca0cad6147dc78027b08a0b32c532","target":"graph","created_at":"2026-05-18T01:59:08Z","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":"In this paper I will investigate geometrical structures of multipartite quantum systems based on complex projective varieties. These varieties are important in characterization of quantum entangled states. In particular I will establish relation between multi-projective Segre varieties and multip-qubit quantum states. I also will discuss other geometrical approaches such as toric varieties to visualize complex multipartite quantum systems.","authors_text":"Hoshang Heydari","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-12-16T10:46:41Z","title":"Geometrical structures of multipartite quantum systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.3754","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":"sha256:2de4b77dcd5365780b1baaab229456291f8380138a066b8a3b622c8b321a1328","target":"record","created_at":"2026-05-18T01:59:08Z","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":"a692375606c98cdcfbd9e4012b189c55aac7c7422874654408b40181d7dc2d9a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-12-16T10:46:41Z","title_canon_sha256":"b676f53a8b49dd3bb7695d724477b9a3e99bf7ce44d71a70c2c3a2814cdeb767"},"schema_version":"1.0","source":{"id":"1112.3754","kind":"arxiv","version":1}},"canonical_sha256":"4a5b7c03f4e23f87b888b478c18e9b83ceffbba04fc7c4cae162236b2821bf91","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4a5b7c03f4e23f87b888b478c18e9b83ceffbba04fc7c4cae162236b2821bf91","first_computed_at":"2026-05-18T01:59:08.699362Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:59:08.699362Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tOlRTm8uGg/kYt6qlqQZwNS5AH7vWb8fBaYi/5gXrgNWndBaCgN+i82fl0AC063SLb1n/KPJYOmMPN5eWZApAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:59:08.700125Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.3754","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2de4b77dcd5365780b1baaab229456291f8380138a066b8a3b622c8b321a1328","sha256:10549b381709b8b1fce6c2c68b1676966b6ca0cad6147dc78027b08a0b32c532"],"state_sha256":"ada84a100244e4d5ae3020fa43f48e9e77534d90d228dc19bc4d612093d4b960"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/0O55MAgL/z38eVHtSdqdyQDISxQPW4jL/EEVr8nJMHTtwVaLnHBIVTfW/rT4CfaAKhGvOl0HsQ8+m5S0vgQCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T08:01:58.481136Z","bundle_sha256":"c50b51afb26b65957fc7decc274ae234a0b76fcb9f7bb388173ec58f73ee14b5"}}