{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:F4FUM7HYO5BMBPZ6CTATY7BCX7","short_pith_number":"pith:F4FUM7HY","canonical_record":{"source":{"id":"1310.7511","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-10-28T17:51:00Z","cross_cats_sorted":[],"title_canon_sha256":"b02a85e190a28cc74883762e3e14c68001e4bc0139a0be02c84857481378da91","abstract_canon_sha256":"f4bc77c86c36685752b7e9c931f655625fc1467c8e525012095ba2f537eab468"},"schema_version":"1.0"},"canonical_sha256":"2f0b467cf87742c0bf3e14c13c7c22bfd28f31c3df14ec2e4bf6591ef240adc9","source":{"kind":"arxiv","id":"1310.7511","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.7511","created_at":"2026-05-18T03:08:38Z"},{"alias_kind":"arxiv_version","alias_value":"1310.7511v1","created_at":"2026-05-18T03:08:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.7511","created_at":"2026-05-18T03:08:38Z"},{"alias_kind":"pith_short_12","alias_value":"F4FUM7HYO5BM","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"F4FUM7HYO5BMBPZ6","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"F4FUM7HY","created_at":"2026-05-18T12:27:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:F4FUM7HYO5BMBPZ6CTATY7BCX7","target":"record","payload":{"canonical_record":{"source":{"id":"1310.7511","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-10-28T17:51:00Z","cross_cats_sorted":[],"title_canon_sha256":"b02a85e190a28cc74883762e3e14c68001e4bc0139a0be02c84857481378da91","abstract_canon_sha256":"f4bc77c86c36685752b7e9c931f655625fc1467c8e525012095ba2f537eab468"},"schema_version":"1.0"},"canonical_sha256":"2f0b467cf87742c0bf3e14c13c7c22bfd28f31c3df14ec2e4bf6591ef240adc9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:08:38.944393Z","signature_b64":"V2p+zhZf5NeVA3yghY3k+qUsNWSdRp//rcSHaGA8/Btod6ZpZEw2qtjnTzI+d9zVGA8GM3EdM1NNaEUrglVUCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2f0b467cf87742c0bf3e14c13c7c22bfd28f31c3df14ec2e4bf6591ef240adc9","last_reissued_at":"2026-05-18T03:08:38.943540Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:08:38.943540Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.7511","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":"2026-05-18T03:08:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EobvN++fB8/ng7lMTj31tp+VfJEqyt/g3+nnnC+xtKxUT4np6iin+qnhgu21PIGI+B9Mr0ljI3AGAnpUUHg5Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T01:31:28.026224Z"},"content_sha256":"6ceb657d9052b437eea626f5172c35d3e6717069463884a68100ce1a0f3142a9","schema_version":"1.0","event_id":"sha256:6ceb657d9052b437eea626f5172c35d3e6717069463884a68100ce1a0f3142a9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:F4FUM7HYO5BMBPZ6CTATY7BCX7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Criterion for the Bipartite Separability of Bell Diagonal States","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Ming-Chung Tsai, Po-Chung Chen, Wei-Chi Su, Zheng-Yao Su","submitted_at":"2013-10-28T17:51:00Z","abstract_excerpt":"A decomposition form is introduced in this report to establish a criterion for the bi-partite separability of Bell diagonal states. A such criterion takes a quadratic form of the coefficients of a given Bell diagonal states and can be derived via a simple algorithmic calculation of its invariants. In addition, the criterion can be extended to a quantum system of higher dimension."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.7511","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":"2026-05-18T03:08:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4U4X5xx6SmtII6Uq50kPoD/QNPY3QNQulJSsnhUWBCOu7L3HAraNzvYcwe2kTxIHuhLvlHt9o0KCkDFZNLG9CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T01:31:28.026920Z"},"content_sha256":"0cb653ca484bb2a084fcc8ae437127bc258c9a67ee1e68cdd16170311447b240","schema_version":"1.0","event_id":"sha256:0cb653ca484bb2a084fcc8ae437127bc258c9a67ee1e68cdd16170311447b240"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/F4FUM7HYO5BMBPZ6CTATY7BCX7/bundle.json","state_url":"https://pith.science/pith/F4FUM7HYO5BMBPZ6CTATY7BCX7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/F4FUM7HYO5BMBPZ6CTATY7BCX7/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":"2026-05-23T01:31:28Z","links":{"resolver":"https://pith.science/pith/F4FUM7HYO5BMBPZ6CTATY7BCX7","bundle":"https://pith.science/pith/F4FUM7HYO5BMBPZ6CTATY7BCX7/bundle.json","state":"https://pith.science/pith/F4FUM7HYO5BMBPZ6CTATY7BCX7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/F4FUM7HYO5BMBPZ6CTATY7BCX7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:F4FUM7HYO5BMBPZ6CTATY7BCX7","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":"f4bc77c86c36685752b7e9c931f655625fc1467c8e525012095ba2f537eab468","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-10-28T17:51:00Z","title_canon_sha256":"b02a85e190a28cc74883762e3e14c68001e4bc0139a0be02c84857481378da91"},"schema_version":"1.0","source":{"id":"1310.7511","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.7511","created_at":"2026-05-18T03:08:38Z"},{"alias_kind":"arxiv_version","alias_value":"1310.7511v1","created_at":"2026-05-18T03:08:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.7511","created_at":"2026-05-18T03:08:38Z"},{"alias_kind":"pith_short_12","alias_value":"F4FUM7HYO5BM","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"F4FUM7HYO5BMBPZ6","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"F4FUM7HY","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:0cb653ca484bb2a084fcc8ae437127bc258c9a67ee1e68cdd16170311447b240","target":"graph","created_at":"2026-05-18T03:08:38Z","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 decomposition form is introduced in this report to establish a criterion for the bi-partite separability of Bell diagonal states. A such criterion takes a quadratic form of the coefficients of a given Bell diagonal states and can be derived via a simple algorithmic calculation of its invariants. In addition, the criterion can be extended to a quantum system of higher dimension.","authors_text":"Ming-Chung Tsai, Po-Chung Chen, Wei-Chi Su, Zheng-Yao Su","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-10-28T17:51:00Z","title":"A Criterion for the Bipartite Separability of Bell Diagonal States"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.7511","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":"sha256:6ceb657d9052b437eea626f5172c35d3e6717069463884a68100ce1a0f3142a9","target":"record","created_at":"2026-05-18T03:08:38Z","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":"f4bc77c86c36685752b7e9c931f655625fc1467c8e525012095ba2f537eab468","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-10-28T17:51:00Z","title_canon_sha256":"b02a85e190a28cc74883762e3e14c68001e4bc0139a0be02c84857481378da91"},"schema_version":"1.0","source":{"id":"1310.7511","kind":"arxiv","version":1}},"canonical_sha256":"2f0b467cf87742c0bf3e14c13c7c22bfd28f31c3df14ec2e4bf6591ef240adc9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2f0b467cf87742c0bf3e14c13c7c22bfd28f31c3df14ec2e4bf6591ef240adc9","first_computed_at":"2026-05-18T03:08:38.943540Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:08:38.943540Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"V2p+zhZf5NeVA3yghY3k+qUsNWSdRp//rcSHaGA8/Btod6ZpZEw2qtjnTzI+d9zVGA8GM3EdM1NNaEUrglVUCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:08:38.944393Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.7511","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6ceb657d9052b437eea626f5172c35d3e6717069463884a68100ce1a0f3142a9","sha256:0cb653ca484bb2a084fcc8ae437127bc258c9a67ee1e68cdd16170311447b240"],"state_sha256":"87421e0baa9eb3a5c7dee2a7161e02a718306d270f4c2589c20d9d77caaecedc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ErWPBe6ANqfQYlUnE3qwrrC61JhOuBQGbiMMT4R40y1BqKWwXgc4xXfcrAMH4EBuULsue2taOg2nNasprv/zDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-23T01:31:28.030395Z","bundle_sha256":"2d676b8f8b6bf5039acec61e5ba3ad254993d62575d9194a32b2e69242a49b00"}}