{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:54ILBQHSN7J7XMNJA7DWWHO7YT","short_pith_number":"pith:54ILBQHS","canonical_record":{"source":{"id":"1305.7489","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2013-05-31T17:03:03Z","cross_cats_sorted":[],"title_canon_sha256":"3d0f2990b4870ff1f46b08609b993bb5019084bae60defac0702f73699caedb0","abstract_canon_sha256":"1b6371aaf58bc14520db00e1f88bd164f45ba90668958620b01f87aa1f36ffeb"},"schema_version":"1.0"},"canonical_sha256":"ef10b0c0f26fd3fbb1a907c76b1ddfc4ff03fc15a31d47b9a19a20a602f92318","source":{"kind":"arxiv","id":"1305.7489","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.7489","created_at":"2026-05-18T03:22:06Z"},{"alias_kind":"arxiv_version","alias_value":"1305.7489v1","created_at":"2026-05-18T03:22:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.7489","created_at":"2026-05-18T03:22:06Z"},{"alias_kind":"pith_short_12","alias_value":"54ILBQHSN7J7","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"54ILBQHSN7J7XMNJ","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"54ILBQHS","created_at":"2026-05-18T12:27:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:54ILBQHSN7J7XMNJA7DWWHO7YT","target":"record","payload":{"canonical_record":{"source":{"id":"1305.7489","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2013-05-31T17:03:03Z","cross_cats_sorted":[],"title_canon_sha256":"3d0f2990b4870ff1f46b08609b993bb5019084bae60defac0702f73699caedb0","abstract_canon_sha256":"1b6371aaf58bc14520db00e1f88bd164f45ba90668958620b01f87aa1f36ffeb"},"schema_version":"1.0"},"canonical_sha256":"ef10b0c0f26fd3fbb1a907c76b1ddfc4ff03fc15a31d47b9a19a20a602f92318","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:22:06.779109Z","signature_b64":"gGnablIiAQ+LthQnZWn+pcERKw0pyJ94TGWCpMHd8+u7QhiYzonaLTTxnGVELB9U/qEt8TptguyZy0u+oPfLDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ef10b0c0f26fd3fbb1a907c76b1ddfc4ff03fc15a31d47b9a19a20a602f92318","last_reissued_at":"2026-05-18T03:22:06.777832Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:22:06.777832Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.7489","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":"2026-05-18T03:22:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TKlGa/2LGDa4kIEeR+Xobdp03a4jeMuyQE20+YYIWoDsWgUHaslH7clyQpPhs5iixhZKBg5lnS/D6TqJnZbmAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T05:05:49.019044Z"},"content_sha256":"99d8a59d1ed611273a20869d3b0af350f66f1dfc378edc63183bc98d0fabe7bb","schema_version":"1.0","event_id":"sha256:99d8a59d1ed611273a20869d3b0af350f66f1dfc378edc63183bc98d0fabe7bb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:54ILBQHSN7J7XMNJA7DWWHO7YT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Universal Entanglers for Bosonic and Fermionic Systems","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Bei Zeng, Jianxin Chen, Joel Klassen","submitted_at":"2013-05-31T17:03:03Z","abstract_excerpt":"A universal entangler (UE) is a unitary operation which maps all pure product states to entangled states. It is known that for a bipartite system of particles $1,2$ with a Hilbert space $\\mathbb{C}^{d_1}\\otimes\\mathbb{C}^{d_2}$, a UE exists when $\\min{(d_1,d_2)}\\geq 3$ and $(d_1,d_2)\\neq (3,3)$. It is also known that whenever a UE exists, almost all unitaries are UEs; however to verify whether a given unitary is a UE is very difficult since solving a quadratic system of equations is NP-hard in general. This work examines the existence and construction of UEs of bipartite bosonic/fermionic syst"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.7489","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":"2026-05-18T03:22:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ei9opIeBX8VK9Png3NY+lOgFIL5FFANuQk6fqThxE7OXflyGJyZ0mHkrECecpz5xQV9+38NhmpyO0goAzt9zBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T05:05:49.019314Z"},"content_sha256":"fac504815de7220de60b5618b77c924b0fd7f522fda7c88cb5059b27bb5d4883","schema_version":"1.0","event_id":"sha256:fac504815de7220de60b5618b77c924b0fd7f522fda7c88cb5059b27bb5d4883"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/54ILBQHSN7J7XMNJA7DWWHO7YT/bundle.json","state_url":"https://pith.science/pith/54ILBQHSN7J7XMNJA7DWWHO7YT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/54ILBQHSN7J7XMNJA7DWWHO7YT/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":"2026-08-01T05:05:49Z","links":{"resolver":"https://pith.science/pith/54ILBQHSN7J7XMNJA7DWWHO7YT","bundle":"https://pith.science/pith/54ILBQHSN7J7XMNJA7DWWHO7YT/bundle.json","state":"https://pith.science/pith/54ILBQHSN7J7XMNJA7DWWHO7YT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/54ILBQHSN7J7XMNJA7DWWHO7YT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:54ILBQHSN7J7XMNJA7DWWHO7YT","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":"1b6371aaf58bc14520db00e1f88bd164f45ba90668958620b01f87aa1f36ffeb","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2013-05-31T17:03:03Z","title_canon_sha256":"3d0f2990b4870ff1f46b08609b993bb5019084bae60defac0702f73699caedb0"},"schema_version":"1.0","source":{"id":"1305.7489","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.7489","created_at":"2026-05-18T03:22:06Z"},{"alias_kind":"arxiv_version","alias_value":"1305.7489v1","created_at":"2026-05-18T03:22:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.7489","created_at":"2026-05-18T03:22:06Z"},{"alias_kind":"pith_short_12","alias_value":"54ILBQHSN7J7","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"54ILBQHSN7J7XMNJ","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"54ILBQHS","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:fac504815de7220de60b5618b77c924b0fd7f522fda7c88cb5059b27bb5d4883","target":"graph","created_at":"2026-05-18T03:22:06Z","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":"A universal entangler (UE) is a unitary operation which maps all pure product states to entangled states. It is known that for a bipartite system of particles $1,2$ with a Hilbert space $\\mathbb{C}^{d_1}\\otimes\\mathbb{C}^{d_2}$, a UE exists when $\\min{(d_1,d_2)}\\geq 3$ and $(d_1,d_2)\\neq (3,3)$. It is also known that whenever a UE exists, almost all unitaries are UEs; however to verify whether a given unitary is a UE is very difficult since solving a quadratic system of equations is NP-hard in general. This work examines the existence and construction of UEs of bipartite bosonic/fermionic syst","authors_text":"Bei Zeng, Jianxin Chen, Joel Klassen","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2013-05-31T17:03:03Z","title":"Universal Entanglers for Bosonic and Fermionic Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.7489","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":"sha256:99d8a59d1ed611273a20869d3b0af350f66f1dfc378edc63183bc98d0fabe7bb","target":"record","created_at":"2026-05-18T03:22:06Z","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":"1b6371aaf58bc14520db00e1f88bd164f45ba90668958620b01f87aa1f36ffeb","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2013-05-31T17:03:03Z","title_canon_sha256":"3d0f2990b4870ff1f46b08609b993bb5019084bae60defac0702f73699caedb0"},"schema_version":"1.0","source":{"id":"1305.7489","kind":"arxiv","version":1}},"canonical_sha256":"ef10b0c0f26fd3fbb1a907c76b1ddfc4ff03fc15a31d47b9a19a20a602f92318","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ef10b0c0f26fd3fbb1a907c76b1ddfc4ff03fc15a31d47b9a19a20a602f92318","first_computed_at":"2026-05-18T03:22:06.777832Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:22:06.777832Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gGnablIiAQ+LthQnZWn+pcERKw0pyJ94TGWCpMHd8+u7QhiYzonaLTTxnGVELB9U/qEt8TptguyZy0u+oPfLDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:22:06.779109Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.7489","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:99d8a59d1ed611273a20869d3b0af350f66f1dfc378edc63183bc98d0fabe7bb","sha256:fac504815de7220de60b5618b77c924b0fd7f522fda7c88cb5059b27bb5d4883"],"state_sha256":"ba8040b94552b347d48003668524eae918366234a9eada5a17141b19d4631ab6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NpXtA0i5Ev77qlv+8av4Zz1StRNJNMzgsNwZDhYsXHCrfJdsOQ39mMdjydTd18/d+6XATPGRlN3Z6AyePbMZDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-01T05:05:49.021441Z","bundle_sha256":"d995255cd9f4351f6883afeb1a4c74accde469b914a775538215ee843ae59e0f"}}