{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:W7K3WR32LNPLHVN7ODA5NEQS2G","short_pith_number":"pith:W7K3WR32","canonical_record":{"source":{"id":"0910.4276","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2009-10-22T10:12:19Z","cross_cats_sorted":[],"title_canon_sha256":"566625a120b57fdb57fd5d638789690b9792cd528c0922ed76000d2d5934ed6c","abstract_canon_sha256":"8572d3e0d6181fa4a1b097c474bc67ffc1a9707b7d99ca3b769c6e28e9945aab"},"schema_version":"1.0"},"canonical_sha256":"b7d5bb477a5b5eb3d5bf70c1d69212d1aadce656048c2bb4ef4f84fbbdf2e159","source":{"kind":"arxiv","id":"0910.4276","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.4276","created_at":"2026-05-18T03:56:24Z"},{"alias_kind":"arxiv_version","alias_value":"0910.4276v3","created_at":"2026-05-18T03:56:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.4276","created_at":"2026-05-18T03:56:24Z"},{"alias_kind":"pith_short_12","alias_value":"W7K3WR32LNPL","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"W7K3WR32LNPLHVN7","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"W7K3WR32","created_at":"2026-05-18T12:26:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:W7K3WR32LNPLHVN7ODA5NEQS2G","target":"record","payload":{"canonical_record":{"source":{"id":"0910.4276","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2009-10-22T10:12:19Z","cross_cats_sorted":[],"title_canon_sha256":"566625a120b57fdb57fd5d638789690b9792cd528c0922ed76000d2d5934ed6c","abstract_canon_sha256":"8572d3e0d6181fa4a1b097c474bc67ffc1a9707b7d99ca3b769c6e28e9945aab"},"schema_version":"1.0"},"canonical_sha256":"b7d5bb477a5b5eb3d5bf70c1d69212d1aadce656048c2bb4ef4f84fbbdf2e159","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:56:24.526269Z","signature_b64":"zfggGTUHhCg3/xi7scv47Ln2u63Ho+r/FhkPCvgFR6kqaSAUPQvdnR2g4merTWV4h/RVC3t3i+DDTtSPJSmLDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b7d5bb477a5b5eb3d5bf70c1d69212d1aadce656048c2bb4ef4f84fbbdf2e159","last_reissued_at":"2026-05-18T03:56:24.525625Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:56:24.525625Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0910.4276","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:56:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gnHmQGOumQSmNGOK+M+gT6fyQ8vFwbSCq7x2WUDzqNY9lfo1QjIPTTfpJkuGL2JcLmNgGyzhhu4Oh6TTMRf1Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T14:25:43.336000Z"},"content_sha256":"752eeb740e2e2ec1a8d6f1f1ac83ecb0f193d8001e34acd29f292d7e107f46a3","schema_version":"1.0","event_id":"sha256:752eeb740e2e2ec1a8d6f1f1ac83ecb0f193d8001e34acd29f292d7e107f46a3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:W7K3WR32LNPLHVN7ODA5NEQS2G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stochastic local operations and classical communication equations and classification of even $n$ qubits","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"D. Li, X. Li","submitted_at":"2009-10-22T10:12:19Z","abstract_excerpt":"For any even $n$ qubits we establish four SLOCC equations and construct four SLOCC polynomials (not complete) of degree $2^{n/2}$, which can be exploited for SLOCC classification (not complete) of any even $n$ qubits. In light of the SLOCC equations, we propose several different genuine entangled states of even $n$ qubits and show that they are inequivalent to the $|GHZ>$, $|W>$, or $|l,n>$ (the symmetric Dicke states with $l$ excitations) under SLOCC via the vanishing or not of the polynomials. The absolute values of the polynomials can be considered as entanglement measures."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.4276","kind":"arxiv","version":3},"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":"2026-05-18T03:56:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YGviN5pQAY0YeQAZZCKfiSFut5YT6x3xkM3fP/pyd7K1QNHjJiKbESzYHdsnxItL8qTX1/LibiP/ihKqodZVCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T14:25:43.336548Z"},"content_sha256":"d2ae4059195d51638393f5e20817f761f71c58791a9ec9e1de2d41e2ac98b383","schema_version":"1.0","event_id":"sha256:d2ae4059195d51638393f5e20817f761f71c58791a9ec9e1de2d41e2ac98b383"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/W7K3WR32LNPLHVN7ODA5NEQS2G/bundle.json","state_url":"https://pith.science/pith/W7K3WR32LNPLHVN7ODA5NEQS2G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/W7K3WR32LNPLHVN7ODA5NEQS2G/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":"2026-06-04T14:25:43Z","links":{"resolver":"https://pith.science/pith/W7K3WR32LNPLHVN7ODA5NEQS2G","bundle":"https://pith.science/pith/W7K3WR32LNPLHVN7ODA5NEQS2G/bundle.json","state":"https://pith.science/pith/W7K3WR32LNPLHVN7ODA5NEQS2G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/W7K3WR32LNPLHVN7ODA5NEQS2G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:W7K3WR32LNPLHVN7ODA5NEQS2G","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":"8572d3e0d6181fa4a1b097c474bc67ffc1a9707b7d99ca3b769c6e28e9945aab","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2009-10-22T10:12:19Z","title_canon_sha256":"566625a120b57fdb57fd5d638789690b9792cd528c0922ed76000d2d5934ed6c"},"schema_version":"1.0","source":{"id":"0910.4276","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.4276","created_at":"2026-05-18T03:56:24Z"},{"alias_kind":"arxiv_version","alias_value":"0910.4276v3","created_at":"2026-05-18T03:56:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.4276","created_at":"2026-05-18T03:56:24Z"},{"alias_kind":"pith_short_12","alias_value":"W7K3WR32LNPL","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"W7K3WR32LNPLHVN7","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"W7K3WR32","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:d2ae4059195d51638393f5e20817f761f71c58791a9ec9e1de2d41e2ac98b383","target":"graph","created_at":"2026-05-18T03:56:24Z","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":"For any even $n$ qubits we establish four SLOCC equations and construct four SLOCC polynomials (not complete) of degree $2^{n/2}$, which can be exploited for SLOCC classification (not complete) of any even $n$ qubits. In light of the SLOCC equations, we propose several different genuine entangled states of even $n$ qubits and show that they are inequivalent to the $|GHZ>$, $|W>$, or $|l,n>$ (the symmetric Dicke states with $l$ excitations) under SLOCC via the vanishing or not of the polynomials. The absolute values of the polynomials can be considered as entanglement measures.","authors_text":"D. Li, X. Li","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2009-10-22T10:12:19Z","title":"Stochastic local operations and classical communication equations and classification of even $n$ qubits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.4276","kind":"arxiv","version":3},"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":"sha256:752eeb740e2e2ec1a8d6f1f1ac83ecb0f193d8001e34acd29f292d7e107f46a3","target":"record","created_at":"2026-05-18T03:56:24Z","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":"8572d3e0d6181fa4a1b097c474bc67ffc1a9707b7d99ca3b769c6e28e9945aab","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2009-10-22T10:12:19Z","title_canon_sha256":"566625a120b57fdb57fd5d638789690b9792cd528c0922ed76000d2d5934ed6c"},"schema_version":"1.0","source":{"id":"0910.4276","kind":"arxiv","version":3}},"canonical_sha256":"b7d5bb477a5b5eb3d5bf70c1d69212d1aadce656048c2bb4ef4f84fbbdf2e159","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b7d5bb477a5b5eb3d5bf70c1d69212d1aadce656048c2bb4ef4f84fbbdf2e159","first_computed_at":"2026-05-18T03:56:24.525625Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:56:24.525625Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zfggGTUHhCg3/xi7scv47Ln2u63Ho+r/FhkPCvgFR6kqaSAUPQvdnR2g4merTWV4h/RVC3t3i+DDTtSPJSmLDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:56:24.526269Z","signed_message":"canonical_sha256_bytes"},"source_id":"0910.4276","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:752eeb740e2e2ec1a8d6f1f1ac83ecb0f193d8001e34acd29f292d7e107f46a3","sha256:d2ae4059195d51638393f5e20817f761f71c58791a9ec9e1de2d41e2ac98b383"],"state_sha256":"c686feed84953a2c62d78d23e382f5dd4d9a274ecae325cd8bd2617686f8f08a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jilMEq/eRr4eJQVZRGV3SsQPT9yuVm4vXGgMkDr75s/dQXGbQeTgtUBqGmyzgOuDeQg5yJ6ksgoLI/NWZlSuAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T14:25:43.339337Z","bundle_sha256":"9ab4fb7a800686ac658c4509648197846786b35b2f81908eef7f91207b7a8e1b"}}