{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:XXCSFE47KI7USOXVHK4OW5BA2E","short_pith_number":"pith:XXCSFE47","schema_version":"1.0","canonical_sha256":"bdc522939f523f493af53ab8eb7420d139326918e80bcab241a4d532d569ba46","source":{"kind":"arxiv","id":"1206.0241","version":1},"attestation_state":"computed","paper":{"title":"Discord Derived from Tsallis Entropy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Jacek Jurkowski","submitted_at":"2012-06-01T16:28:02Z","abstract_excerpt":"Due to some ambiguity in defining mutual Tsallis entropy in the classical probability theory, its generalization to quantum theory is discussed and, as a consequence, two types of generalized quantum discord, called $q$-discords, are defined in terms of quantum Tsallis entropy. $q$-discords for two-qubit Werner and isotropic states are calculated and it is shown that one of them is positive, at least for states under investigation, for all $q>0$. Finally, an analytical expression for $q$-discord of certain family of two-qubit X states is presented."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1206.0241","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-06-01T16:28:02Z","cross_cats_sorted":[],"title_canon_sha256":"b6875d4372b98f1ef7b66f1cb2f5c2832654a8a1fb9a06edb923f57d25e482bb","abstract_canon_sha256":"a9665bf7fac0e9ec1214a4111a0952092d56e3c32d2e5e77b9e7cf49916ebecf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:54:26.714791Z","signature_b64":"YLFIh98Q5F7zW7OaN0JZE90oBhXuIDq7C7av3LsJCzHq0/FLx3v4hUnXRvrWFfD81Wi3pD2FN+uH4dQ4uolLDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bdc522939f523f493af53ab8eb7420d139326918e80bcab241a4d532d569ba46","last_reissued_at":"2026-05-18T03:54:26.714010Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:54:26.714010Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Discord Derived from Tsallis Entropy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Jacek Jurkowski","submitted_at":"2012-06-01T16:28:02Z","abstract_excerpt":"Due to some ambiguity in defining mutual Tsallis entropy in the classical probability theory, its generalization to quantum theory is discussed and, as a consequence, two types of generalized quantum discord, called $q$-discords, are defined in terms of quantum Tsallis entropy. $q$-discords for two-qubit Werner and isotropic states are calculated and it is shown that one of them is positive, at least for states under investigation, for all $q>0$. Finally, an analytical expression for $q$-discord of certain family of two-qubit X states is presented."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.0241","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1206.0241","created_at":"2026-05-18T03:54:26.714123+00:00"},{"alias_kind":"arxiv_version","alias_value":"1206.0241v1","created_at":"2026-05-18T03:54:26.714123+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.0241","created_at":"2026-05-18T03:54:26.714123+00:00"},{"alias_kind":"pith_short_12","alias_value":"XXCSFE47KI7U","created_at":"2026-05-18T12:27:27.928770+00:00"},{"alias_kind":"pith_short_16","alias_value":"XXCSFE47KI7USOXV","created_at":"2026-05-18T12:27:27.928770+00:00"},{"alias_kind":"pith_short_8","alias_value":"XXCSFE47","created_at":"2026-05-18T12:27:27.928770+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/XXCSFE47KI7USOXVHK4OW5BA2E","json":"https://pith.science/pith/XXCSFE47KI7USOXVHK4OW5BA2E.json","graph_json":"https://pith.science/api/pith-number/XXCSFE47KI7USOXVHK4OW5BA2E/graph.json","events_json":"https://pith.science/api/pith-number/XXCSFE47KI7USOXVHK4OW5BA2E/events.json","paper":"https://pith.science/paper/XXCSFE47"},"agent_actions":{"view_html":"https://pith.science/pith/XXCSFE47KI7USOXVHK4OW5BA2E","download_json":"https://pith.science/pith/XXCSFE47KI7USOXVHK4OW5BA2E.json","view_paper":"https://pith.science/paper/XXCSFE47","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1206.0241&json=true","fetch_graph":"https://pith.science/api/pith-number/XXCSFE47KI7USOXVHK4OW5BA2E/graph.json","fetch_events":"https://pith.science/api/pith-number/XXCSFE47KI7USOXVHK4OW5BA2E/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XXCSFE47KI7USOXVHK4OW5BA2E/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XXCSFE47KI7USOXVHK4OW5BA2E/action/storage_attestation","attest_author":"https://pith.science/pith/XXCSFE47KI7USOXVHK4OW5BA2E/action/author_attestation","sign_citation":"https://pith.science/pith/XXCSFE47KI7USOXVHK4OW5BA2E/action/citation_signature","submit_replication":"https://pith.science/pith/XXCSFE47KI7USOXVHK4OW5BA2E/action/replication_record"}},"created_at":"2026-05-18T03:54:26.714123+00:00","updated_at":"2026-05-18T03:54:26.714123+00:00"}