{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:YLVRNSBM4SCEJRMEQZMYXF3KLS","short_pith_number":"pith:YLVRNSBM","canonical_record":{"source":{"id":"quant-ph/0203015","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2002-03-04T18:28:53Z","cross_cats_sorted":["cond-mat","hep-th","math-ph","math.MP","nucl-th"],"title_canon_sha256":"9e02472fb1680de4526aa3e4053f67b9d3c9a34603db471b89e62ecd3c742f9c","abstract_canon_sha256":"603ea0eae2e7e20fdaab2c12d1ec841f56ef1599f594af1334c9e98c97290cd2"},"schema_version":"1.0"},"canonical_sha256":"c2eb16c82ce48444c58486598b976a5c8795745c52abf2f117bfd5c9adc71688","source":{"kind":"arxiv","id":"quant-ph/0203015","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0203015","created_at":"2026-05-18T01:05:04Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0203015v1","created_at":"2026-05-18T01:05:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0203015","created_at":"2026-05-18T01:05:04Z"},{"alias_kind":"pith_short_12","alias_value":"YLVRNSBM4SCE","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"YLVRNSBM4SCEJRME","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"YLVRNSBM","created_at":"2026-05-18T12:25:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:YLVRNSBM4SCEJRMEQZMYXF3KLS","target":"record","payload":{"canonical_record":{"source":{"id":"quant-ph/0203015","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2002-03-04T18:28:53Z","cross_cats_sorted":["cond-mat","hep-th","math-ph","math.MP","nucl-th"],"title_canon_sha256":"9e02472fb1680de4526aa3e4053f67b9d3c9a34603db471b89e62ecd3c742f9c","abstract_canon_sha256":"603ea0eae2e7e20fdaab2c12d1ec841f56ef1599f594af1334c9e98c97290cd2"},"schema_version":"1.0"},"canonical_sha256":"c2eb16c82ce48444c58486598b976a5c8795745c52abf2f117bfd5c9adc71688","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:04.591129Z","signature_b64":"59vP/BA3IxR4w8noMvVPJvJFUiVgoh2ZKyT3DyJQ2ghK2H62uaYKg3pW0B2KyVxjKGcV2IhERrU9fSho45FHAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c2eb16c82ce48444c58486598b976a5c8795745c52abf2f117bfd5c9adc71688","last_reissued_at":"2026-05-18T01:05:04.590512Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:04.590512Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"quant-ph/0203015","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":"2026-05-18T01:05:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lOECe3vYTxAbrjDgwx0R6gbbb67DcX1CW/TBtLb4k+bIB5M6uYHXgBHgGgc3ccGXSCq/OdHHR0Uw7M3+NqiJDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T19:26:52.654980Z"},"content_sha256":"a7428530dfacc3f443e9d07c41b1c8e3cada71138b8d45e9302fb38ba2040cfe","schema_version":"1.0","event_id":"sha256:a7428530dfacc3f443e9d07c41b1c8e3cada71138b8d45e9302fb38ba2040cfe"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:YLVRNSBM4SCEJRMEQZMYXF3KLS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spin squeezing and entanglement in spinor-1 condensates","license":"","headline":"","cross_cats":["cond-mat","hep-th","math-ph","math.MP","nucl-th"],"primary_cat":"quant-ph","authors_text":"L. You, M. Zhang, \\\"Ozg\\\"ur E. M\\\"ustecapl{\\i}o\\u{g}lu","submitted_at":"2002-03-04T18:28:53Z","abstract_excerpt":"We analyze quantum correlation properties of a spinor-1 (f=1) Bose Einstein condensate using the Gell-Mann realization of SU(3) symmetry. We show that previously discussed phenomena of condensate fragmentation and spin-mixing can be explained in terms of the hypercharge symmetry. The ground state of a spinor-1 condensate is found to be fragmented for ferromagnetic interactions. The notion of two bosonic mode squeezing is generalized to the two spin (U-V) squeezing within the SU(3) formalism. Spin squeezing in the isospin subspace (T) is found and numerically investigated. We also provide new r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0203015","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":"2026-05-18T01:05:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rl144jH5WfU7qtCh2wha5ac6wIM8eg5fEJHN5AO456pC0LyqzvaKFkVlz5/B6Rhvw/yuoTtfoEoR6F+2UAfpCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T19:26:52.655339Z"},"content_sha256":"82418314ee2f0d69e67f112039dfae6c54f9508ee7a73e1e5d71e95e0626572a","schema_version":"1.0","event_id":"sha256:82418314ee2f0d69e67f112039dfae6c54f9508ee7a73e1e5d71e95e0626572a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YLVRNSBM4SCEJRMEQZMYXF3KLS/bundle.json","state_url":"https://pith.science/pith/YLVRNSBM4SCEJRMEQZMYXF3KLS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YLVRNSBM4SCEJRMEQZMYXF3KLS/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":"2026-06-02T19:26:52Z","links":{"resolver":"https://pith.science/pith/YLVRNSBM4SCEJRMEQZMYXF3KLS","bundle":"https://pith.science/pith/YLVRNSBM4SCEJRMEQZMYXF3KLS/bundle.json","state":"https://pith.science/pith/YLVRNSBM4SCEJRMEQZMYXF3KLS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YLVRNSBM4SCEJRMEQZMYXF3KLS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:YLVRNSBM4SCEJRMEQZMYXF3KLS","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":"603ea0eae2e7e20fdaab2c12d1ec841f56ef1599f594af1334c9e98c97290cd2","cross_cats_sorted":["cond-mat","hep-th","math-ph","math.MP","nucl-th"],"license":"","primary_cat":"quant-ph","submitted_at":"2002-03-04T18:28:53Z","title_canon_sha256":"9e02472fb1680de4526aa3e4053f67b9d3c9a34603db471b89e62ecd3c742f9c"},"schema_version":"1.0","source":{"id":"quant-ph/0203015","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0203015","created_at":"2026-05-18T01:05:04Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0203015v1","created_at":"2026-05-18T01:05:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0203015","created_at":"2026-05-18T01:05:04Z"},{"alias_kind":"pith_short_12","alias_value":"YLVRNSBM4SCE","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"YLVRNSBM4SCEJRME","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"YLVRNSBM","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:82418314ee2f0d69e67f112039dfae6c54f9508ee7a73e1e5d71e95e0626572a","target":"graph","created_at":"2026-05-18T01:05:04Z","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 analyze quantum correlation properties of a spinor-1 (f=1) Bose Einstein condensate using the Gell-Mann realization of SU(3) symmetry. We show that previously discussed phenomena of condensate fragmentation and spin-mixing can be explained in terms of the hypercharge symmetry. The ground state of a spinor-1 condensate is found to be fragmented for ferromagnetic interactions. The notion of two bosonic mode squeezing is generalized to the two spin (U-V) squeezing within the SU(3) formalism. Spin squeezing in the isospin subspace (T) is found and numerically investigated. We also provide new r","authors_text":"L. You, M. Zhang, \\\"Ozg\\\"ur E. M\\\"ustecapl{\\i}o\\u{g}lu","cross_cats":["cond-mat","hep-th","math-ph","math.MP","nucl-th"],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2002-03-04T18:28:53Z","title":"Spin squeezing and entanglement in spinor-1 condensates"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0203015","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:a7428530dfacc3f443e9d07c41b1c8e3cada71138b8d45e9302fb38ba2040cfe","target":"record","created_at":"2026-05-18T01:05:04Z","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":"603ea0eae2e7e20fdaab2c12d1ec841f56ef1599f594af1334c9e98c97290cd2","cross_cats_sorted":["cond-mat","hep-th","math-ph","math.MP","nucl-th"],"license":"","primary_cat":"quant-ph","submitted_at":"2002-03-04T18:28:53Z","title_canon_sha256":"9e02472fb1680de4526aa3e4053f67b9d3c9a34603db471b89e62ecd3c742f9c"},"schema_version":"1.0","source":{"id":"quant-ph/0203015","kind":"arxiv","version":1}},"canonical_sha256":"c2eb16c82ce48444c58486598b976a5c8795745c52abf2f117bfd5c9adc71688","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c2eb16c82ce48444c58486598b976a5c8795745c52abf2f117bfd5c9adc71688","first_computed_at":"2026-05-18T01:05:04.590512Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:04.590512Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"59vP/BA3IxR4w8noMvVPJvJFUiVgoh2ZKyT3DyJQ2ghK2H62uaYKg3pW0B2KyVxjKGcV2IhERrU9fSho45FHAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:04.591129Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0203015","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a7428530dfacc3f443e9d07c41b1c8e3cada71138b8d45e9302fb38ba2040cfe","sha256:82418314ee2f0d69e67f112039dfae6c54f9508ee7a73e1e5d71e95e0626572a"],"state_sha256":"e6e129fda85b1d0e43a698811b9e98220a2121931b4e79b2a2c4d554922eb573"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H7WUKDUyK5V5R757Gi2mNf3fqzjTgqOD5KrElrMvNRzkpCsadSzyrWNggMcT595e5k4b+LykJzOnrqFvo8PUCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T19:26:52.657358Z","bundle_sha256":"9236e18c2e5943c1bb13173f3241369b459a828b8382630d01da23f58eaa79c3"}}