{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:ARII76BLFS7NCS5KWGTY6IUI5X","short_pith_number":"pith:ARII76BL","canonical_record":{"source":{"id":"1801.00762","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-01-02T18:35:23Z","cross_cats_sorted":[],"title_canon_sha256":"c0124760bcf2ecefb62667022b96c71ff1b8a8ce7b8b1cccf56dc6b33f04835f","abstract_canon_sha256":"4f56aaee47f29c24987706804a0ce78b3a1fc452958098d6cd2fac8bf6fbf2e4"},"schema_version":"1.0"},"canonical_sha256":"04508ff82b2cbed14baab1a78f2288ede9335408a8b41b9eb58f1e80b3de7174","source":{"kind":"arxiv","id":"1801.00762","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.00762","created_at":"2026-05-18T00:26:52Z"},{"alias_kind":"arxiv_version","alias_value":"1801.00762v1","created_at":"2026-05-18T00:26:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.00762","created_at":"2026-05-18T00:26:52Z"},{"alias_kind":"pith_short_12","alias_value":"ARII76BLFS7N","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"ARII76BLFS7NCS5K","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"ARII76BL","created_at":"2026-05-18T12:32:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:ARII76BLFS7NCS5KWGTY6IUI5X","target":"record","payload":{"canonical_record":{"source":{"id":"1801.00762","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-01-02T18:35:23Z","cross_cats_sorted":[],"title_canon_sha256":"c0124760bcf2ecefb62667022b96c71ff1b8a8ce7b8b1cccf56dc6b33f04835f","abstract_canon_sha256":"4f56aaee47f29c24987706804a0ce78b3a1fc452958098d6cd2fac8bf6fbf2e4"},"schema_version":"1.0"},"canonical_sha256":"04508ff82b2cbed14baab1a78f2288ede9335408a8b41b9eb58f1e80b3de7174","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:52.416334Z","signature_b64":"LMdE/zuRFtNlODC6Di8+HXINMQD7Wo6BhXTHPcLzX2GVehjTaUbzQuZPL0QaoAXxDO5jYCtGCEPQHbOsN8TgBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"04508ff82b2cbed14baab1a78f2288ede9335408a8b41b9eb58f1e80b3de7174","last_reissued_at":"2026-05-18T00:26:52.415771Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:52.415771Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.00762","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":"2026-05-18T00:26:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OWt9y7KWPVvPRUxgbKs0JqZkyKmzYMM++uYDcJa3HPVm0gEa2+cAzpxaA3f+ddIqZkBtwtCObqN3BEY6w2+WCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T12:30:26.761496Z"},"content_sha256":"629b2e89508717cc45e6e8bf4ce240cb8f19237b37d7ec496656b6ef8807b1fb","schema_version":"1.0","event_id":"sha256:629b2e89508717cc45e6e8bf4ce240cb8f19237b37d7ec496656b6ef8807b1fb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:ARII76BLFS7NCS5KWGTY6IUI5X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"All bipartitions of arbitrary Dicke states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Fernando Parisio, M. G. M. Moreno","submitted_at":"2018-01-02T18:35:23Z","abstract_excerpt":"By exploiting the permutation symmetry of Dick states, we derive closed analytical expressions of Schmidt decompositions for {\\it all} possible bipartitions of a system described by this kind of state. This allows us to exhaustively compute the entropy of entanglement of the bipartitions and, thus, compare the their entanglement extent. We also address the multipartite character of Dicke states by calculating the purity of balanced bipartitions to determine the potential of multipartite entanglement (the average purity). In particular, we found that the entanglement of $W$ states remains const"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.00762","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":"2026-05-18T00:26:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AFdNTtVZqK04x/d7hGe7elixleVTINM+a0XlmrBKMXYo0IqOz0/RFaBd3ZsRGMK+3o+knlg5yunAFEjvusp1BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T12:30:26.762178Z"},"content_sha256":"f0c53f0184dd5ae60d6d42aaa8b24eaf47469393d07415ddba8a640ad5d1dc68","schema_version":"1.0","event_id":"sha256:f0c53f0184dd5ae60d6d42aaa8b24eaf47469393d07415ddba8a640ad5d1dc68"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ARII76BLFS7NCS5KWGTY6IUI5X/bundle.json","state_url":"https://pith.science/pith/ARII76BLFS7NCS5KWGTY6IUI5X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ARII76BLFS7NCS5KWGTY6IUI5X/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":"2026-05-26T12:30:26Z","links":{"resolver":"https://pith.science/pith/ARII76BLFS7NCS5KWGTY6IUI5X","bundle":"https://pith.science/pith/ARII76BLFS7NCS5KWGTY6IUI5X/bundle.json","state":"https://pith.science/pith/ARII76BLFS7NCS5KWGTY6IUI5X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ARII76BLFS7NCS5KWGTY6IUI5X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ARII76BLFS7NCS5KWGTY6IUI5X","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":"4f56aaee47f29c24987706804a0ce78b3a1fc452958098d6cd2fac8bf6fbf2e4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-01-02T18:35:23Z","title_canon_sha256":"c0124760bcf2ecefb62667022b96c71ff1b8a8ce7b8b1cccf56dc6b33f04835f"},"schema_version":"1.0","source":{"id":"1801.00762","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.00762","created_at":"2026-05-18T00:26:52Z"},{"alias_kind":"arxiv_version","alias_value":"1801.00762v1","created_at":"2026-05-18T00:26:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.00762","created_at":"2026-05-18T00:26:52Z"},{"alias_kind":"pith_short_12","alias_value":"ARII76BLFS7N","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"ARII76BLFS7NCS5K","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"ARII76BL","created_at":"2026-05-18T12:32:13Z"}],"graph_snapshots":[{"event_id":"sha256:f0c53f0184dd5ae60d6d42aaa8b24eaf47469393d07415ddba8a640ad5d1dc68","target":"graph","created_at":"2026-05-18T00:26:52Z","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":"By exploiting the permutation symmetry of Dick states, we derive closed analytical expressions of Schmidt decompositions for {\\it all} possible bipartitions of a system described by this kind of state. This allows us to exhaustively compute the entropy of entanglement of the bipartitions and, thus, compare the their entanglement extent. We also address the multipartite character of Dicke states by calculating the purity of balanced bipartitions to determine the potential of multipartite entanglement (the average purity). In particular, we found that the entanglement of $W$ states remains const","authors_text":"Fernando Parisio, M. G. M. Moreno","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-01-02T18:35:23Z","title":"All bipartitions of arbitrary Dicke states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.00762","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":"sha256:629b2e89508717cc45e6e8bf4ce240cb8f19237b37d7ec496656b6ef8807b1fb","target":"record","created_at":"2026-05-18T00:26:52Z","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":"4f56aaee47f29c24987706804a0ce78b3a1fc452958098d6cd2fac8bf6fbf2e4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-01-02T18:35:23Z","title_canon_sha256":"c0124760bcf2ecefb62667022b96c71ff1b8a8ce7b8b1cccf56dc6b33f04835f"},"schema_version":"1.0","source":{"id":"1801.00762","kind":"arxiv","version":1}},"canonical_sha256":"04508ff82b2cbed14baab1a78f2288ede9335408a8b41b9eb58f1e80b3de7174","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"04508ff82b2cbed14baab1a78f2288ede9335408a8b41b9eb58f1e80b3de7174","first_computed_at":"2026-05-18T00:26:52.415771Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:52.415771Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LMdE/zuRFtNlODC6Di8+HXINMQD7Wo6BhXTHPcLzX2GVehjTaUbzQuZPL0QaoAXxDO5jYCtGCEPQHbOsN8TgBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:52.416334Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.00762","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:629b2e89508717cc45e6e8bf4ce240cb8f19237b37d7ec496656b6ef8807b1fb","sha256:f0c53f0184dd5ae60d6d42aaa8b24eaf47469393d07415ddba8a640ad5d1dc68"],"state_sha256":"64de4786a7f77bba1bf8ed21a09b80c6fe2e3949bff6fa58d833850e7869241a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bRpETCZlhBMmdTOSwaUlJfYBD56+IJQEPrxYJM6dnMSOaM/qq/ItzhXZf2ptQllzX7okg2jTtpVxq9YXirdRBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T12:30:26.765420Z","bundle_sha256":"ae9fc2c5ff679703211b2afccbd591f073357db73c16c39c5ac1a29c2645fda5"}}