{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:FVRHPAHWS6ZLFRMSPEQY6SAO2G","short_pith_number":"pith:FVRHPAHW","schema_version":"1.0","canonical_sha256":"2d627780f697b2b2c59279218f480ed189fb3ea68dcb077778bd8a840884fe08","source":{"kind":"arxiv","id":"1105.5380","version":1},"attestation_state":"computed","paper":{"title":"Local extrema of entropy functions under tensor products","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Aidan Roy, Gilad Gour, Shmuel Friedland","submitted_at":"2011-05-26T19:30:26Z","abstract_excerpt":"We show that under a certain condition of local commutativity the minimum von-Neumann entropy output of a quantum channel is locally additive. We also show that local minima of the 2-norm entropy functions are closed under tensor products if one of the subspaces has dimension 2."},"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":"1105.5380","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-05-26T19:30:26Z","cross_cats_sorted":["math.MP","quant-ph"],"title_canon_sha256":"14dbf47375c85ad33d284f865f4f574759d98c56d647501efd1fc39108daabca","abstract_canon_sha256":"2e5d2ed43a92555fcf3bea5cca087efb3a519079eab0a3d897a59def1d779a4b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:15:57.952638Z","signature_b64":"TlmKJt96yJXtjQolQ7tITRvmRelykI54X+Z6BBI36G8An8ebcZbtHa9vasUY3POL+GybHFh2bZO8VuDTrgM1DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2d627780f697b2b2c59279218f480ed189fb3ea68dcb077778bd8a840884fe08","last_reissued_at":"2026-05-18T03:15:57.951919Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:15:57.951919Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Local extrema of entropy functions under tensor products","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Aidan Roy, Gilad Gour, Shmuel Friedland","submitted_at":"2011-05-26T19:30:26Z","abstract_excerpt":"We show that under a certain condition of local commutativity the minimum von-Neumann entropy output of a quantum channel is locally additive. We also show that local minima of the 2-norm entropy functions are closed under tensor products if one of the subspaces has dimension 2."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.5380","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":"1105.5380","created_at":"2026-05-18T03:15:57.952023+00:00"},{"alias_kind":"arxiv_version","alias_value":"1105.5380v1","created_at":"2026-05-18T03:15:57.952023+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.5380","created_at":"2026-05-18T03:15:57.952023+00:00"},{"alias_kind":"pith_short_12","alias_value":"FVRHPAHWS6ZL","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_16","alias_value":"FVRHPAHWS6ZLFRMS","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_8","alias_value":"FVRHPAHW","created_at":"2026-05-18T12:26:28.662955+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/FVRHPAHWS6ZLFRMSPEQY6SAO2G","json":"https://pith.science/pith/FVRHPAHWS6ZLFRMSPEQY6SAO2G.json","graph_json":"https://pith.science/api/pith-number/FVRHPAHWS6ZLFRMSPEQY6SAO2G/graph.json","events_json":"https://pith.science/api/pith-number/FVRHPAHWS6ZLFRMSPEQY6SAO2G/events.json","paper":"https://pith.science/paper/FVRHPAHW"},"agent_actions":{"view_html":"https://pith.science/pith/FVRHPAHWS6ZLFRMSPEQY6SAO2G","download_json":"https://pith.science/pith/FVRHPAHWS6ZLFRMSPEQY6SAO2G.json","view_paper":"https://pith.science/paper/FVRHPAHW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1105.5380&json=true","fetch_graph":"https://pith.science/api/pith-number/FVRHPAHWS6ZLFRMSPEQY6SAO2G/graph.json","fetch_events":"https://pith.science/api/pith-number/FVRHPAHWS6ZLFRMSPEQY6SAO2G/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FVRHPAHWS6ZLFRMSPEQY6SAO2G/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FVRHPAHWS6ZLFRMSPEQY6SAO2G/action/storage_attestation","attest_author":"https://pith.science/pith/FVRHPAHWS6ZLFRMSPEQY6SAO2G/action/author_attestation","sign_citation":"https://pith.science/pith/FVRHPAHWS6ZLFRMSPEQY6SAO2G/action/citation_signature","submit_replication":"https://pith.science/pith/FVRHPAHWS6ZLFRMSPEQY6SAO2G/action/replication_record"}},"created_at":"2026-05-18T03:15:57.952023+00:00","updated_at":"2026-05-18T03:15:57.952023+00:00"}