{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:GHPORMIY2DWDCKR6EWLFZGOEL3","short_pith_number":"pith:GHPORMIY","schema_version":"1.0","canonical_sha256":"31dee8b118d0ec312a3e25965c99c45ee04418cf514e0adb8887fcdb087ab842","source":{"kind":"arxiv","id":"1312.6988","version":1},"attestation_state":"computed","paper":{"title":"Quantum strong subadditivity condition for systems without subsystems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Margarita A Man'ko, Vladimir I Man'ko","submitted_at":"2013-12-25T17:37:53Z","abstract_excerpt":"The strong subadditivity condition for the density matrix of a quantum system, which does not contain subsystems, is derived using the qudit-portrait method. An example of the qudit state in the seven-dimensional Hilbert space corresponding to spin j = 3 is presented in detail. New entropic inequalities in the form of subadditivity condition and strong subadditivity condition for spin tomograms determining the qudit states are obtained and given on examples of j = 2 and 3."},"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":"1312.6988","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-12-25T17:37:53Z","cross_cats_sorted":[],"title_canon_sha256":"9166f4a1b2d2f3494ff1e8aff9fc5866f6e261caad0e18716e9d070bd4e0dba2","abstract_canon_sha256":"528cc7eeb34c2d64ff66c44e853b3cd9572bccb9f272fe4fbab1c89db2e248a5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:45:41.757048Z","signature_b64":"u0mna7rl7mtchpAhIjZ/pu45k432rkNcn777r5J1YKoQeQ35L4/idfTizUXD0UgUmymm2/mbhP2rJxrNMJagBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"31dee8b118d0ec312a3e25965c99c45ee04418cf514e0adb8887fcdb087ab842","last_reissued_at":"2026-05-18T01:45:41.756332Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:45:41.756332Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum strong subadditivity condition for systems without subsystems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Margarita A Man'ko, Vladimir I Man'ko","submitted_at":"2013-12-25T17:37:53Z","abstract_excerpt":"The strong subadditivity condition for the density matrix of a quantum system, which does not contain subsystems, is derived using the qudit-portrait method. An example of the qudit state in the seven-dimensional Hilbert space corresponding to spin j = 3 is presented in detail. New entropic inequalities in the form of subadditivity condition and strong subadditivity condition for spin tomograms determining the qudit states are obtained and given on examples of j = 2 and 3."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.6988","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":"1312.6988","created_at":"2026-05-18T01:45:41.756453+00:00"},{"alias_kind":"arxiv_version","alias_value":"1312.6988v1","created_at":"2026-05-18T01:45:41.756453+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.6988","created_at":"2026-05-18T01:45:41.756453+00:00"},{"alias_kind":"pith_short_12","alias_value":"GHPORMIY2DWD","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_16","alias_value":"GHPORMIY2DWDCKR6","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_8","alias_value":"GHPORMIY","created_at":"2026-05-18T12:27:45.050594+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/GHPORMIY2DWDCKR6EWLFZGOEL3","json":"https://pith.science/pith/GHPORMIY2DWDCKR6EWLFZGOEL3.json","graph_json":"https://pith.science/api/pith-number/GHPORMIY2DWDCKR6EWLFZGOEL3/graph.json","events_json":"https://pith.science/api/pith-number/GHPORMIY2DWDCKR6EWLFZGOEL3/events.json","paper":"https://pith.science/paper/GHPORMIY"},"agent_actions":{"view_html":"https://pith.science/pith/GHPORMIY2DWDCKR6EWLFZGOEL3","download_json":"https://pith.science/pith/GHPORMIY2DWDCKR6EWLFZGOEL3.json","view_paper":"https://pith.science/paper/GHPORMIY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1312.6988&json=true","fetch_graph":"https://pith.science/api/pith-number/GHPORMIY2DWDCKR6EWLFZGOEL3/graph.json","fetch_events":"https://pith.science/api/pith-number/GHPORMIY2DWDCKR6EWLFZGOEL3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GHPORMIY2DWDCKR6EWLFZGOEL3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GHPORMIY2DWDCKR6EWLFZGOEL3/action/storage_attestation","attest_author":"https://pith.science/pith/GHPORMIY2DWDCKR6EWLFZGOEL3/action/author_attestation","sign_citation":"https://pith.science/pith/GHPORMIY2DWDCKR6EWLFZGOEL3/action/citation_signature","submit_replication":"https://pith.science/pith/GHPORMIY2DWDCKR6EWLFZGOEL3/action/replication_record"}},"created_at":"2026-05-18T01:45:41.756453+00:00","updated_at":"2026-05-18T01:45:41.756453+00:00"}