{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:N2DMMAYEBCKAPOQR74I2J5MANE","short_pith_number":"pith:N2DMMAYE","canonical_record":{"source":{"id":"0901.0795","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-01-07T10:16:33Z","cross_cats_sorted":[],"title_canon_sha256":"2920866b745fb772783c6e95fe3016313abe3ee2f64216365e13075f1c156d11","abstract_canon_sha256":"62752c5cb4a9b3d8c0b856dc6a3626b428566fb46aa5f93cc1140532ddbdc92e"},"schema_version":"1.0"},"canonical_sha256":"6e86c60304089407ba11ff11a4f5806919cb338be83a4224cd98ebaec8c2fa06","source":{"kind":"arxiv","id":"0901.0795","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.0795","created_at":"2026-05-18T02:15:03Z"},{"alias_kind":"arxiv_version","alias_value":"0901.0795v1","created_at":"2026-05-18T02:15:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.0795","created_at":"2026-05-18T02:15:03Z"},{"alias_kind":"pith_short_12","alias_value":"N2DMMAYEBCKA","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"N2DMMAYEBCKAPOQR","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"N2DMMAYE","created_at":"2026-05-18T12:26:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:N2DMMAYEBCKAPOQR74I2J5MANE","target":"record","payload":{"canonical_record":{"source":{"id":"0901.0795","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-01-07T10:16:33Z","cross_cats_sorted":[],"title_canon_sha256":"2920866b745fb772783c6e95fe3016313abe3ee2f64216365e13075f1c156d11","abstract_canon_sha256":"62752c5cb4a9b3d8c0b856dc6a3626b428566fb46aa5f93cc1140532ddbdc92e"},"schema_version":"1.0"},"canonical_sha256":"6e86c60304089407ba11ff11a4f5806919cb338be83a4224cd98ebaec8c2fa06","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:15:03.173267Z","signature_b64":"VepnDLlefhyHqAI1g2NOO0I7hyrXZd/5gHyd81qzPiA302u1WH2cHzYM3h4WPdnmhLr+9fOVITgQo4cVzIPCAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6e86c60304089407ba11ff11a4f5806919cb338be83a4224cd98ebaec8c2fa06","last_reissued_at":"2026-05-18T02:15:03.172844Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:15:03.172844Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0901.0795","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:15:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"73FnJE2Y3pVgf9eYoZuzsDVKDaG0BGPLS/5xqIywnXHIopPCP+6lms2vvDICYVWfS2nLaHFcO+5SIOpQfGB3BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T08:26:17.103461Z"},"content_sha256":"e5819784cf96c25f27505615e629abe483e93e5a6121c9435734a926a014d271","schema_version":"1.0","event_id":"sha256:e5819784cf96c25f27505615e629abe483e93e5a6121c9435734a926a014d271"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:N2DMMAYEBCKAPOQR74I2J5MANE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Proper Versus Improper Mixtures: Towards a Quaternionic Quantum Mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Fabio Masillo, Giuseppe Scolarici, Sandro Sozzo","submitted_at":"2009-01-07T10:16:33Z","abstract_excerpt":"The density operators obtained by taking partial traces do not represent proper mixtures of the subsystems of a compound physical system, but improper mixtures, since the coefficients in the convex sums expressing them never bear the ignorance interpretation. As a consequence, assigning states to these subsystems is problematical in standard quantum mechanics (subentity problem). Basing on the proposal provided in the SR interpretation of quantum mechanics, where improper mixtures are considered as true nonpure states conceptually distinct from proper mixtures, we show here that proper and imp"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.0795","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:15:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DcXZJex/8h6wCRzdf3atJBMeeZx3shEwpLdz+EETyKYChNiK0wF8x70mbB42irtbxfqC4YV6XHsIrzQA5I+GBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T08:26:17.103802Z"},"content_sha256":"ad91ee923391ea192edb71f2e6992106b73c8eca08116b41c831050b04ebc5f1","schema_version":"1.0","event_id":"sha256:ad91ee923391ea192edb71f2e6992106b73c8eca08116b41c831050b04ebc5f1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/N2DMMAYEBCKAPOQR74I2J5MANE/bundle.json","state_url":"https://pith.science/pith/N2DMMAYEBCKAPOQR74I2J5MANE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/N2DMMAYEBCKAPOQR74I2J5MANE/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":"2026-06-01T08:26:17Z","links":{"resolver":"https://pith.science/pith/N2DMMAYEBCKAPOQR74I2J5MANE","bundle":"https://pith.science/pith/N2DMMAYEBCKAPOQR74I2J5MANE/bundle.json","state":"https://pith.science/pith/N2DMMAYEBCKAPOQR74I2J5MANE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/N2DMMAYEBCKAPOQR74I2J5MANE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:N2DMMAYEBCKAPOQR74I2J5MANE","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":"62752c5cb4a9b3d8c0b856dc6a3626b428566fb46aa5f93cc1140532ddbdc92e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-01-07T10:16:33Z","title_canon_sha256":"2920866b745fb772783c6e95fe3016313abe3ee2f64216365e13075f1c156d11"},"schema_version":"1.0","source":{"id":"0901.0795","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.0795","created_at":"2026-05-18T02:15:03Z"},{"alias_kind":"arxiv_version","alias_value":"0901.0795v1","created_at":"2026-05-18T02:15:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.0795","created_at":"2026-05-18T02:15:03Z"},{"alias_kind":"pith_short_12","alias_value":"N2DMMAYEBCKA","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"N2DMMAYEBCKAPOQR","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"N2DMMAYE","created_at":"2026-05-18T12:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:ad91ee923391ea192edb71f2e6992106b73c8eca08116b41c831050b04ebc5f1","target":"graph","created_at":"2026-05-18T02:15:03Z","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 density operators obtained by taking partial traces do not represent proper mixtures of the subsystems of a compound physical system, but improper mixtures, since the coefficients in the convex sums expressing them never bear the ignorance interpretation. As a consequence, assigning states to these subsystems is problematical in standard quantum mechanics (subentity problem). Basing on the proposal provided in the SR interpretation of quantum mechanics, where improper mixtures are considered as true nonpure states conceptually distinct from proper mixtures, we show here that proper and imp","authors_text":"Fabio Masillo, Giuseppe Scolarici, Sandro Sozzo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-01-07T10:16:33Z","title":"Proper Versus Improper Mixtures: Towards a Quaternionic Quantum Mechanics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.0795","kind":"arxiv","version":1},"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:e5819784cf96c25f27505615e629abe483e93e5a6121c9435734a926a014d271","target":"record","created_at":"2026-05-18T02:15:03Z","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":"62752c5cb4a9b3d8c0b856dc6a3626b428566fb46aa5f93cc1140532ddbdc92e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-01-07T10:16:33Z","title_canon_sha256":"2920866b745fb772783c6e95fe3016313abe3ee2f64216365e13075f1c156d11"},"schema_version":"1.0","source":{"id":"0901.0795","kind":"arxiv","version":1}},"canonical_sha256":"6e86c60304089407ba11ff11a4f5806919cb338be83a4224cd98ebaec8c2fa06","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6e86c60304089407ba11ff11a4f5806919cb338be83a4224cd98ebaec8c2fa06","first_computed_at":"2026-05-18T02:15:03.172844Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:15:03.172844Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VepnDLlefhyHqAI1g2NOO0I7hyrXZd/5gHyd81qzPiA302u1WH2cHzYM3h4WPdnmhLr+9fOVITgQo4cVzIPCAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:15:03.173267Z","signed_message":"canonical_sha256_bytes"},"source_id":"0901.0795","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e5819784cf96c25f27505615e629abe483e93e5a6121c9435734a926a014d271","sha256:ad91ee923391ea192edb71f2e6992106b73c8eca08116b41c831050b04ebc5f1"],"state_sha256":"0773eb5a45a924573caaf00879d7787f3e21ee38fe50004c992c3283b2af34a2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L9L94dJkrohWfBpBZPmpE90HZ4xZeZnVnVQhJFBtSNxULsRKLsTI86oIeObAtgZ5qYZhYLCmHXUqyvYszFbTAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T08:26:17.105805Z","bundle_sha256":"c429c6d378ad91743120a30c70941b6a3dd711d5ed939463db515381a474ba25"}}