{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:7KOOLHU6UPYINREZGAB5HESK4G","short_pith_number":"pith:7KOOLHU6","canonical_record":{"source":{"id":"1408.7062","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-08-29T15:59:20Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"b72b713276b5e6cdc10b18ba9490cbf99b504620c5c289172a92b5ae5991ea04","abstract_canon_sha256":"3d1dafe128643ac9e62f3909721646f1f8ced590f0a3f8222f36ab35f38de2b1"},"schema_version":"1.0"},"canonical_sha256":"fa9ce59e9ea3f086c4993003d3924ae1b4bc5c6da16a688b313bf5129439c753","source":{"kind":"arxiv","id":"1408.7062","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.7062","created_at":"2026-05-18T01:23:04Z"},{"alias_kind":"arxiv_version","alias_value":"1408.7062v3","created_at":"2026-05-18T01:23:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.7062","created_at":"2026-05-18T01:23:04Z"},{"alias_kind":"pith_short_12","alias_value":"7KOOLHU6UPYI","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"7KOOLHU6UPYINREZ","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"7KOOLHU6","created_at":"2026-05-18T12:28:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:7KOOLHU6UPYINREZGAB5HESK4G","target":"record","payload":{"canonical_record":{"source":{"id":"1408.7062","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-08-29T15:59:20Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"b72b713276b5e6cdc10b18ba9490cbf99b504620c5c289172a92b5ae5991ea04","abstract_canon_sha256":"3d1dafe128643ac9e62f3909721646f1f8ced590f0a3f8222f36ab35f38de2b1"},"schema_version":"1.0"},"canonical_sha256":"fa9ce59e9ea3f086c4993003d3924ae1b4bc5c6da16a688b313bf5129439c753","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:04.457508Z","signature_b64":"XfbThhydxxxTyEFm+dUUgYkY7LxF+Wb0Foh/JndTNkXwdQAHFTXGvo7IGR1V46Qner+EtkvGC7O16d56o8uvBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fa9ce59e9ea3f086c4993003d3924ae1b4bc5c6da16a688b313bf5129439c753","last_reissued_at":"2026-05-18T01:23:04.457098Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:04.457098Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1408.7062","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:23:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iPouG5zjkvimqPLVPJ3KyzYdX6Acc58PWxE0wBFN7oCiIkzvT49HmIL0OkLDjQWcJkpasBp04ttNCF32a6p7BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T11:57:08.426527Z"},"content_sha256":"c77f8cdd009fd10dc9f6b1ab563efde52cab4d89545b9946297405b96afb9715","schema_version":"1.0","event_id":"sha256:c77f8cdd009fd10dc9f6b1ab563efde52cab4d89545b9946297405b96afb9715"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:7KOOLHU6UPYINREZGAB5HESK4G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Equivalence between divisibility and monotonic decrease of information in classical and quantum stochastic processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"quant-ph","authors_text":"Francesco Buscemi, Nilanjana Datta","submitted_at":"2014-08-29T15:59:20Z","abstract_excerpt":"The crucial feature of a memoryless stochastic process is that any information about its state can only decrease as the system evolves. Here we show that such a decrease of information is equivalent to the underlying stochastic evolution being divisible. The main result, which holds for both classical and quantum stochastic processes, rely on a quantum version of the so-called Blackwell-Sherman-Stein theorem in classical statistics."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.7062","kind":"arxiv","version":3},"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":"2026-05-18T01:23:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MTJxuUoN09Js42jTEQBZQDQvqECvAqmSGWYwWOZAy3nC7+HkPInz9PU2v/gabsayZ3J7uruUqAY3SOzYpW25DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T11:57:08.426871Z"},"content_sha256":"8577dee7155f7355a5406463cecf2559ddce98a3b9bbb20895f3082514b2b25d","schema_version":"1.0","event_id":"sha256:8577dee7155f7355a5406463cecf2559ddce98a3b9bbb20895f3082514b2b25d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7KOOLHU6UPYINREZGAB5HESK4G/bundle.json","state_url":"https://pith.science/pith/7KOOLHU6UPYINREZGAB5HESK4G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7KOOLHU6UPYINREZGAB5HESK4G/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":"2026-07-07T11:57:08Z","links":{"resolver":"https://pith.science/pith/7KOOLHU6UPYINREZGAB5HESK4G","bundle":"https://pith.science/pith/7KOOLHU6UPYINREZGAB5HESK4G/bundle.json","state":"https://pith.science/pith/7KOOLHU6UPYINREZGAB5HESK4G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7KOOLHU6UPYINREZGAB5HESK4G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:7KOOLHU6UPYINREZGAB5HESK4G","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":"3d1dafe128643ac9e62f3909721646f1f8ced590f0a3f8222f36ab35f38de2b1","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-08-29T15:59:20Z","title_canon_sha256":"b72b713276b5e6cdc10b18ba9490cbf99b504620c5c289172a92b5ae5991ea04"},"schema_version":"1.0","source":{"id":"1408.7062","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.7062","created_at":"2026-05-18T01:23:04Z"},{"alias_kind":"arxiv_version","alias_value":"1408.7062v3","created_at":"2026-05-18T01:23:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.7062","created_at":"2026-05-18T01:23:04Z"},{"alias_kind":"pith_short_12","alias_value":"7KOOLHU6UPYI","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"7KOOLHU6UPYINREZ","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"7KOOLHU6","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:8577dee7155f7355a5406463cecf2559ddce98a3b9bbb20895f3082514b2b25d","target":"graph","created_at":"2026-05-18T01:23:04Z","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 crucial feature of a memoryless stochastic process is that any information about its state can only decrease as the system evolves. Here we show that such a decrease of information is equivalent to the underlying stochastic evolution being divisible. The main result, which holds for both classical and quantum stochastic processes, rely on a quantum version of the so-called Blackwell-Sherman-Stein theorem in classical statistics.","authors_text":"Francesco Buscemi, Nilanjana Datta","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-08-29T15:59:20Z","title":"Equivalence between divisibility and monotonic decrease of information in classical and quantum stochastic processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.7062","kind":"arxiv","version":3},"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:c77f8cdd009fd10dc9f6b1ab563efde52cab4d89545b9946297405b96afb9715","target":"record","created_at":"2026-05-18T01:23:04Z","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":"3d1dafe128643ac9e62f3909721646f1f8ced590f0a3f8222f36ab35f38de2b1","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-08-29T15:59:20Z","title_canon_sha256":"b72b713276b5e6cdc10b18ba9490cbf99b504620c5c289172a92b5ae5991ea04"},"schema_version":"1.0","source":{"id":"1408.7062","kind":"arxiv","version":3}},"canonical_sha256":"fa9ce59e9ea3f086c4993003d3924ae1b4bc5c6da16a688b313bf5129439c753","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fa9ce59e9ea3f086c4993003d3924ae1b4bc5c6da16a688b313bf5129439c753","first_computed_at":"2026-05-18T01:23:04.457098Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:04.457098Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XfbThhydxxxTyEFm+dUUgYkY7LxF+Wb0Foh/JndTNkXwdQAHFTXGvo7IGR1V46Qner+EtkvGC7O16d56o8uvBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:04.457508Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.7062","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c77f8cdd009fd10dc9f6b1ab563efde52cab4d89545b9946297405b96afb9715","sha256:8577dee7155f7355a5406463cecf2559ddce98a3b9bbb20895f3082514b2b25d"],"state_sha256":"41b42d44dc395904a43aa40ee174186677b223116d37e3dd61e71a9574bc2f1f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OZvpVDWhcxpuWWp3NdThMs/ohfTG7AylzEYdOhXe33nBMcWiabZEXZFri7aQc4M5kXrOadi4u/dOj/kjU0WbCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T11:57:08.428853Z","bundle_sha256":"adb5e0a221cefecb0ea9d7a177c647d0cb1145e77037a3d84367642d91650661"}}