{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:Q7O2XPE5GMBRBJGHWGNU6IG2EC","short_pith_number":"pith:Q7O2XPE5","schema_version":"1.0","canonical_sha256":"87ddabbc9d330310a4c7b19b4f20da2084abb98a0689eba801af8d9e6663b91a","source":{"kind":"arxiv","id":"1609.08416","version":2},"attestation_state":"computed","paper":{"title":"A necessary condition for incompatibility of observables in general probabilistic theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Leevi Lepp\\\"aj\\\"arvi, Sergey Filippov, Teiko Heinosaari","submitted_at":"2016-09-27T13:26:44Z","abstract_excerpt":"We quantify the intrinsic noise content of an observable in a general probabilistic theory and derive a noise content inequality for incompatible observables. We apply the derived inequality to standard quantum theory, the quantum theory of processes, and polytope state spaces. The noise content for positive operator-valued measures takes a particularly simple form and equals the sum of minimal eigenvalues of all the effects. We illustrate our findings with a number of examples including the introduced notion of reverse observables."},"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":"1609.08416","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-09-27T13:26:44Z","cross_cats_sorted":[],"title_canon_sha256":"6e92a5aaed5b4c24915a74979659e888de7d3fac3302c73fa0681786c6a5c7b4","abstract_canon_sha256":"302da7421810ddb89f8a62257f5a0b701dfdab3ddd94dab72b64ea01787cd8a8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:47:49.943407Z","signature_b64":"VF/phWcMiNNuJvdCUi54GYzVSkr9z62aFavPqhuc+frAiPu4beVbyqFau+bFqjxmvGYXGEZWrltORtUamDTYAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"87ddabbc9d330310a4c7b19b4f20da2084abb98a0689eba801af8d9e6663b91a","last_reissued_at":"2026-05-18T00:47:49.942782Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:47:49.942782Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A necessary condition for incompatibility of observables in general probabilistic theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Leevi Lepp\\\"aj\\\"arvi, Sergey Filippov, Teiko Heinosaari","submitted_at":"2016-09-27T13:26:44Z","abstract_excerpt":"We quantify the intrinsic noise content of an observable in a general probabilistic theory and derive a noise content inequality for incompatible observables. We apply the derived inequality to standard quantum theory, the quantum theory of processes, and polytope state spaces. The noise content for positive operator-valued measures takes a particularly simple form and equals the sum of minimal eigenvalues of all the effects. We illustrate our findings with a number of examples including the introduced notion of reverse observables."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.08416","kind":"arxiv","version":2},"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":"1609.08416","created_at":"2026-05-18T00:47:49.942894+00:00"},{"alias_kind":"arxiv_version","alias_value":"1609.08416v2","created_at":"2026-05-18T00:47:49.942894+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.08416","created_at":"2026-05-18T00:47:49.942894+00:00"},{"alias_kind":"pith_short_12","alias_value":"Q7O2XPE5GMBR","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_16","alias_value":"Q7O2XPE5GMBRBJGH","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_8","alias_value":"Q7O2XPE5","created_at":"2026-05-18T12:30:39.010887+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/Q7O2XPE5GMBRBJGHWGNU6IG2EC","json":"https://pith.science/pith/Q7O2XPE5GMBRBJGHWGNU6IG2EC.json","graph_json":"https://pith.science/api/pith-number/Q7O2XPE5GMBRBJGHWGNU6IG2EC/graph.json","events_json":"https://pith.science/api/pith-number/Q7O2XPE5GMBRBJGHWGNU6IG2EC/events.json","paper":"https://pith.science/paper/Q7O2XPE5"},"agent_actions":{"view_html":"https://pith.science/pith/Q7O2XPE5GMBRBJGHWGNU6IG2EC","download_json":"https://pith.science/pith/Q7O2XPE5GMBRBJGHWGNU6IG2EC.json","view_paper":"https://pith.science/paper/Q7O2XPE5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1609.08416&json=true","fetch_graph":"https://pith.science/api/pith-number/Q7O2XPE5GMBRBJGHWGNU6IG2EC/graph.json","fetch_events":"https://pith.science/api/pith-number/Q7O2XPE5GMBRBJGHWGNU6IG2EC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Q7O2XPE5GMBRBJGHWGNU6IG2EC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Q7O2XPE5GMBRBJGHWGNU6IG2EC/action/storage_attestation","attest_author":"https://pith.science/pith/Q7O2XPE5GMBRBJGHWGNU6IG2EC/action/author_attestation","sign_citation":"https://pith.science/pith/Q7O2XPE5GMBRBJGHWGNU6IG2EC/action/citation_signature","submit_replication":"https://pith.science/pith/Q7O2XPE5GMBRBJGHWGNU6IG2EC/action/replication_record"}},"created_at":"2026-05-18T00:47:49.942894+00:00","updated_at":"2026-05-18T00:47:49.942894+00:00"}