{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:2COH6U7BAZNM44HKDQGXM2ZNLD","short_pith_number":"pith:2COH6U7B","canonical_record":{"source":{"id":"1605.09783","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-05-31T19:37:45Z","cross_cats_sorted":[],"title_canon_sha256":"f44f715d32f7f162cd1ca777e5e051db4cbe1f0cd7dd4987c0ae9840e02ffea1","abstract_canon_sha256":"6073eb6c0c81662e7b8fe0738ff42e7559aaacf28ad3afa3d1e3d681ada69157"},"schema_version":"1.0"},"canonical_sha256":"d09c7f53e1065ace70ea1c0d766b2d58c26e749e441d82de2c1d7fb15fdc26e0","source":{"kind":"arxiv","id":"1605.09783","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.09783","created_at":"2026-05-17T23:49:22Z"},{"alias_kind":"arxiv_version","alias_value":"1605.09783v3","created_at":"2026-05-17T23:49:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.09783","created_at":"2026-05-17T23:49:22Z"},{"alias_kind":"pith_short_12","alias_value":"2COH6U7BAZNM","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"2COH6U7BAZNM44HK","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"2COH6U7B","created_at":"2026-05-18T12:29:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:2COH6U7BAZNM44HKDQGXM2ZNLD","target":"record","payload":{"canonical_record":{"source":{"id":"1605.09783","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-05-31T19:37:45Z","cross_cats_sorted":[],"title_canon_sha256":"f44f715d32f7f162cd1ca777e5e051db4cbe1f0cd7dd4987c0ae9840e02ffea1","abstract_canon_sha256":"6073eb6c0c81662e7b8fe0738ff42e7559aaacf28ad3afa3d1e3d681ada69157"},"schema_version":"1.0"},"canonical_sha256":"d09c7f53e1065ace70ea1c0d766b2d58c26e749e441d82de2c1d7fb15fdc26e0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:22.850159Z","signature_b64":"BaulombL3MgbhibptL7TmgXdqc9CiBQPEiJ8zaFUzjzvLRH07tOly/mcS8fYhx0J+6vZLxzxkESiLd1mLS88Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d09c7f53e1065ace70ea1c0d766b2d58c26e749e441d82de2c1d7fb15fdc26e0","last_reissued_at":"2026-05-17T23:49:22.849700Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:22.849700Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.09783","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":"2026-05-17T23:49:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ssB9S72kG9pLrVk5IVrjP7v0ymEQ7Rcy9ZPDBF5qsK7tvft47Z9SnVMb00zOjOFaPYHLgw1HzC0Zr780rjb9AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T15:07:37.860163Z"},"content_sha256":"e7c1f76252ad742abdbcd1488954fa320c10dea787bc6295960fcd290ff67aeb","schema_version":"1.0","event_id":"sha256:e7c1f76252ad742abdbcd1488954fa320c10dea787bc6295960fcd290ff67aeb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:2COH6U7BAZNM44HKDQGXM2ZNLD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantifying entanglement of maximal dimension in bipartite mixed states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Christopher Eltschka, Gael Sent\\'is, Jens Siewert, Marcus Huber, Otfried G\\\"uhne","submitted_at":"2016-05-31T19:37:45Z","abstract_excerpt":"The Schmidt coefficients capture all entanglement properties of a pure bipartite state and therefore determine its usefulness for quantum information processing. While the quantification of the corresponding properties in mixed states is important both from a theoretical and a practical point of view, it is considerably more difficult, and methods beyond estimates for the concurrence are elusive. In particular this holds for a quantitative assessment of the most valuable resource, the maximum possible Schmidt number of an arbitrary mixed state. We derive a framework for lower bounding the appr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.09783","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":"2026-05-17T23:49:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4K0VGiP+iV+Qwlsip5LVvyR50ncWYwjXKPiUvvDRgiGWPVSnWxMur9VPJ3yYP0p7ypE//3wkHOt5OBCiWS1gDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T15:07:37.860889Z"},"content_sha256":"d45f63457ad24b99d21b3e6c9040cb97f6c8ccd10cc6590d02932fb3917aa01f","schema_version":"1.0","event_id":"sha256:d45f63457ad24b99d21b3e6c9040cb97f6c8ccd10cc6590d02932fb3917aa01f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2COH6U7BAZNM44HKDQGXM2ZNLD/bundle.json","state_url":"https://pith.science/pith/2COH6U7BAZNM44HKDQGXM2ZNLD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2COH6U7BAZNM44HKDQGXM2ZNLD/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":"2026-05-30T15:07:37Z","links":{"resolver":"https://pith.science/pith/2COH6U7BAZNM44HKDQGXM2ZNLD","bundle":"https://pith.science/pith/2COH6U7BAZNM44HKDQGXM2ZNLD/bundle.json","state":"https://pith.science/pith/2COH6U7BAZNM44HKDQGXM2ZNLD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2COH6U7BAZNM44HKDQGXM2ZNLD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:2COH6U7BAZNM44HKDQGXM2ZNLD","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":"6073eb6c0c81662e7b8fe0738ff42e7559aaacf28ad3afa3d1e3d681ada69157","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-05-31T19:37:45Z","title_canon_sha256":"f44f715d32f7f162cd1ca777e5e051db4cbe1f0cd7dd4987c0ae9840e02ffea1"},"schema_version":"1.0","source":{"id":"1605.09783","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.09783","created_at":"2026-05-17T23:49:22Z"},{"alias_kind":"arxiv_version","alias_value":"1605.09783v3","created_at":"2026-05-17T23:49:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.09783","created_at":"2026-05-17T23:49:22Z"},{"alias_kind":"pith_short_12","alias_value":"2COH6U7BAZNM","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"2COH6U7BAZNM44HK","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"2COH6U7B","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:d45f63457ad24b99d21b3e6c9040cb97f6c8ccd10cc6590d02932fb3917aa01f","target":"graph","created_at":"2026-05-17T23:49:22Z","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":"The Schmidt coefficients capture all entanglement properties of a pure bipartite state and therefore determine its usefulness for quantum information processing. While the quantification of the corresponding properties in mixed states is important both from a theoretical and a practical point of view, it is considerably more difficult, and methods beyond estimates for the concurrence are elusive. In particular this holds for a quantitative assessment of the most valuable resource, the maximum possible Schmidt number of an arbitrary mixed state. We derive a framework for lower bounding the appr","authors_text":"Christopher Eltschka, Gael Sent\\'is, Jens Siewert, Marcus Huber, Otfried G\\\"uhne","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-05-31T19:37:45Z","title":"Quantifying entanglement of maximal dimension in bipartite mixed states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.09783","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:e7c1f76252ad742abdbcd1488954fa320c10dea787bc6295960fcd290ff67aeb","target":"record","created_at":"2026-05-17T23:49:22Z","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":"6073eb6c0c81662e7b8fe0738ff42e7559aaacf28ad3afa3d1e3d681ada69157","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-05-31T19:37:45Z","title_canon_sha256":"f44f715d32f7f162cd1ca777e5e051db4cbe1f0cd7dd4987c0ae9840e02ffea1"},"schema_version":"1.0","source":{"id":"1605.09783","kind":"arxiv","version":3}},"canonical_sha256":"d09c7f53e1065ace70ea1c0d766b2d58c26e749e441d82de2c1d7fb15fdc26e0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d09c7f53e1065ace70ea1c0d766b2d58c26e749e441d82de2c1d7fb15fdc26e0","first_computed_at":"2026-05-17T23:49:22.849700Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:49:22.849700Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BaulombL3MgbhibptL7TmgXdqc9CiBQPEiJ8zaFUzjzvLRH07tOly/mcS8fYhx0J+6vZLxzxkESiLd1mLS88Dw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:49:22.850159Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.09783","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e7c1f76252ad742abdbcd1488954fa320c10dea787bc6295960fcd290ff67aeb","sha256:d45f63457ad24b99d21b3e6c9040cb97f6c8ccd10cc6590d02932fb3917aa01f"],"state_sha256":"e9334b9bbb6760eff46a7da7f71a36f64f192059c79a518d35ac1a847364ac41"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tSk9ZA68puXBlyfT/KB13BoyR2+Tcqkm8VrRLL22yTu9TiS/FgcI2N8Fe9EHMW23BkcfDjhjl04RgwUtO5ERBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T15:07:37.864758Z","bundle_sha256":"0a0f3f86d260c85e7a3391fae92432d9d027bc5a29692111094b71ffafd5c1dc"}}