{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:U44RSEPALCJZ552RK4GWATX2EF","short_pith_number":"pith:U44RSEPA","canonical_record":{"source":{"id":"0908.1583","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-08-11T21:14:51Z","cross_cats_sorted":[],"title_canon_sha256":"314b2528b7c608ad73b7cf2db0d319c31fcb552be0c24605b970101089ba4d64","abstract_canon_sha256":"f929451c6239d8af2a1f5d5de61881d8b3b62d30e95b0a897064fb5ebf3168cf"},"schema_version":"1.0"},"canonical_sha256":"a7391911e058939ef751570d604efa217643d6be3003974149dc43456e5eebcc","source":{"kind":"arxiv","id":"0908.1583","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0908.1583","created_at":"2026-07-04T17:31:05Z"},{"alias_kind":"arxiv_version","alias_value":"0908.1583v5","created_at":"2026-07-04T17:31:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.1583","created_at":"2026-07-04T17:31:05Z"},{"alias_kind":"pith_short_12","alias_value":"U44RSEPALCJZ","created_at":"2026-07-04T17:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"U44RSEPALCJZ552R","created_at":"2026-07-04T17:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"U44RSEPA","created_at":"2026-07-04T17:31:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:U44RSEPALCJZ552RK4GWATX2EF","target":"record","payload":{"canonical_record":{"source":{"id":"0908.1583","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-08-11T21:14:51Z","cross_cats_sorted":[],"title_canon_sha256":"314b2528b7c608ad73b7cf2db0d319c31fcb552be0c24605b970101089ba4d64","abstract_canon_sha256":"f929451c6239d8af2a1f5d5de61881d8b3b62d30e95b0a897064fb5ebf3168cf"},"schema_version":"1.0"},"canonical_sha256":"a7391911e058939ef751570d604efa217643d6be3003974149dc43456e5eebcc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:31:05.791571Z","signature_b64":"JEIy67b7hIOXhbejW1qjVBCx4L0azGxLAGuW1kL5MezaQ95YmUN93/up0XVdBzr35ZBBaI0TgQ63V6shBHVGBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a7391911e058939ef751570d604efa217643d6be3003974149dc43456e5eebcc","last_reissued_at":"2026-07-04T17:31:05.791171Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:31:05.791171Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0908.1583","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T17:31:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jrXDIrXIyz5hgS3DKXI/JeorPIN83/JFoRlN/mgiDIoOD1R8FuxN/L/aux1UJgBblBKqqdKpu9HPvM9hDJNlBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T01:16:49.999431Z"},"content_sha256":"95567b17db7c8e85550a41edbdeee6ea8fe9d70c8a65f41a537f5ea1e9e72983","schema_version":"1.0","event_id":"sha256:95567b17db7c8e85550a41edbdeee6ea8fe9d70c8a65f41a537f5ea1e9e72983"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:U44RSEPALCJZ552RK4GWATX2EF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Probabilistic theories with purification","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"G. Chiribella, G. M. D'Ariano, P. Perinotti","submitted_at":"2009-08-11T21:14:51Z","abstract_excerpt":"We investigate general probabilistic theories in which every mixed state has a purification, unique up to reversible channels on the purifying system. We show that the purification principle is equivalent to the existence of a reversible realization of every physical process, namely that every physical process can be regarded as arising from a reversible interaction of the system with an environment, which is eventually discarded. From the purification principle we also construct an isomorphism between transformations and bipartite states that possesses all structural properties of the Choi-Ja"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.1583","kind":"arxiv","version":5},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0908.1583/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T17:31:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4TSnJqingdrfH3y4TcNZ54ii44NzDC43m3D5LLRK2/5Vm9BeXNttrTFKU4XX5c4afPuy9/uvdgBvskDhNVAmAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T01:16:49.999922Z"},"content_sha256":"0c769c84ca2b82dd172bcf6e8079f2a646c64c26269690356424c7e8244ece53","schema_version":"1.0","event_id":"sha256:0c769c84ca2b82dd172bcf6e8079f2a646c64c26269690356424c7e8244ece53"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U44RSEPALCJZ552RK4GWATX2EF/bundle.json","state_url":"https://pith.science/pith/U44RSEPALCJZ552RK4GWATX2EF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U44RSEPALCJZ552RK4GWATX2EF/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":"2026-08-15T01:16:50Z","links":{"resolver":"https://pith.science/pith/U44RSEPALCJZ552RK4GWATX2EF","bundle":"https://pith.science/pith/U44RSEPALCJZ552RK4GWATX2EF/bundle.json","state":"https://pith.science/pith/U44RSEPALCJZ552RK4GWATX2EF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U44RSEPALCJZ552RK4GWATX2EF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:U44RSEPALCJZ552RK4GWATX2EF","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":"f929451c6239d8af2a1f5d5de61881d8b3b62d30e95b0a897064fb5ebf3168cf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-08-11T21:14:51Z","title_canon_sha256":"314b2528b7c608ad73b7cf2db0d319c31fcb552be0c24605b970101089ba4d64"},"schema_version":"1.0","source":{"id":"0908.1583","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0908.1583","created_at":"2026-07-04T17:31:05Z"},{"alias_kind":"arxiv_version","alias_value":"0908.1583v5","created_at":"2026-07-04T17:31:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.1583","created_at":"2026-07-04T17:31:05Z"},{"alias_kind":"pith_short_12","alias_value":"U44RSEPALCJZ","created_at":"2026-07-04T17:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"U44RSEPALCJZ552R","created_at":"2026-07-04T17:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"U44RSEPA","created_at":"2026-07-04T17:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:0c769c84ca2b82dd172bcf6e8079f2a646c64c26269690356424c7e8244ece53","target":"graph","created_at":"2026-07-04T17:31:05Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0908.1583/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate general probabilistic theories in which every mixed state has a purification, unique up to reversible channels on the purifying system. We show that the purification principle is equivalent to the existence of a reversible realization of every physical process, namely that every physical process can be regarded as arising from a reversible interaction of the system with an environment, which is eventually discarded. From the purification principle we also construct an isomorphism between transformations and bipartite states that possesses all structural properties of the Choi-Ja","authors_text":"G. Chiribella, G. M. D'Ariano, P. Perinotti","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-08-11T21:14:51Z","title":"Probabilistic theories with purification"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.1583","kind":"arxiv","version":5},"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":"sha256:95567b17db7c8e85550a41edbdeee6ea8fe9d70c8a65f41a537f5ea1e9e72983","target":"record","created_at":"2026-07-04T17:31:05Z","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":"f929451c6239d8af2a1f5d5de61881d8b3b62d30e95b0a897064fb5ebf3168cf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-08-11T21:14:51Z","title_canon_sha256":"314b2528b7c608ad73b7cf2db0d319c31fcb552be0c24605b970101089ba4d64"},"schema_version":"1.0","source":{"id":"0908.1583","kind":"arxiv","version":5}},"canonical_sha256":"a7391911e058939ef751570d604efa217643d6be3003974149dc43456e5eebcc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a7391911e058939ef751570d604efa217643d6be3003974149dc43456e5eebcc","first_computed_at":"2026-07-04T17:31:05.791171Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:31:05.791171Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JEIy67b7hIOXhbejW1qjVBCx4L0azGxLAGuW1kL5MezaQ95YmUN93/up0XVdBzr35ZBBaI0TgQ63V6shBHVGBg==","signature_status":"signed_v1","signed_at":"2026-07-04T17:31:05.791571Z","signed_message":"canonical_sha256_bytes"},"source_id":"0908.1583","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:95567b17db7c8e85550a41edbdeee6ea8fe9d70c8a65f41a537f5ea1e9e72983","sha256:0c769c84ca2b82dd172bcf6e8079f2a646c64c26269690356424c7e8244ece53"],"state_sha256":"3051d763ff4c5828f8755ad06af2da5a7707f65543eca9959a80f54ce680bee4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IfQS7VSTyxqmqaqX8ZXhJnemahlfsYcBAxMriCBIHepv1+VtY4AFP+gpEex/SivGu95Ton82XPOE8m8FUxZPBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T01:16:50.003164Z","bundle_sha256":"7cadd8108160e94e210bad5f1760b1b81dc0000005663ee827b8496f7c428fb1"}}