{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:V2YICO6T7C33SA3VONIDVX652C","short_pith_number":"pith:V2YICO6T","schema_version":"1.0","canonical_sha256":"aeb0813bd3f8b7b9037573503adfddd0a2c03d73b60bafccf4a9faec08c9543d","source":{"kind":"arxiv","id":"1810.10809","version":3},"attestation_state":"computed","paper":{"title":"The Structure of Quantum Stochastic Processes with Finite Markov Order","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Felix A. Pollock, Kavan Modi, Philip Taranto, Simon Milz","submitted_at":"2018-10-25T09:45:42Z","abstract_excerpt":"Non-Markovian quantum processes exhibit different memory effects when measured in different ways; an unambiguous characterization of memory length requires accounting for the sequence of instruments applied to probe the system dynamics. This instrument-specific notion of quantum Markov order displays stark differences to its classical counterpart. Here, we explore the structure of quantum stochastic processes with finite length memory in detail. We begin by examining a generalized collision model with memory, before framing this instance within the general theory. We detail the constraints tha"},"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":"1810.10809","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-10-25T09:45:42Z","cross_cats_sorted":[],"title_canon_sha256":"37501a5043382730ac49f1bd4e096ebc2ef98abda311ec602c8254ed0a27dda5","abstract_canon_sha256":"26d043c1fdae752ac3e0ef73089286a7ae98349efc378b3f3560593512545e19"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:48:55.293301Z","signature_b64":"qAFctT8/acZEFO48va/OTrG0bxcBtfvZkbv+JAEQuUI28VHR8TZnwr+X+jcFJcIuOStPWnerJMQcp3ih0SxPDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aeb0813bd3f8b7b9037573503adfddd0a2c03d73b60bafccf4a9faec08c9543d","last_reissued_at":"2026-05-17T23:48:55.292787Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:48:55.292787Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Structure of Quantum Stochastic Processes with Finite Markov Order","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Felix A. Pollock, Kavan Modi, Philip Taranto, Simon Milz","submitted_at":"2018-10-25T09:45:42Z","abstract_excerpt":"Non-Markovian quantum processes exhibit different memory effects when measured in different ways; an unambiguous characterization of memory length requires accounting for the sequence of instruments applied to probe the system dynamics. This instrument-specific notion of quantum Markov order displays stark differences to its classical counterpart. Here, we explore the structure of quantum stochastic processes with finite length memory in detail. We begin by examining a generalized collision model with memory, before framing this instance within the general theory. We detail the constraints tha"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.10809","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1810.10809","created_at":"2026-05-17T23:48:55.292866+00:00"},{"alias_kind":"arxiv_version","alias_value":"1810.10809v3","created_at":"2026-05-17T23:48:55.292866+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.10809","created_at":"2026-05-17T23:48:55.292866+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/V2YICO6T7C33SA3VONIDVX652C","json":"https://pith.science/pith/V2YICO6T7C33SA3VONIDVX652C.json","graph_json":"https://pith.science/api/pith-number/V2YICO6T7C33SA3VONIDVX652C/graph.json","events_json":"https://pith.science/api/pith-number/V2YICO6T7C33SA3VONIDVX652C/events.json","paper":"https://pith.science/paper/V2YICO6T"},"agent_actions":{"view_html":"https://pith.science/pith/V2YICO6T7C33SA3VONIDVX652C","download_json":"https://pith.science/pith/V2YICO6T7C33SA3VONIDVX652C.json","view_paper":"https://pith.science/paper/V2YICO6T","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1810.10809&json=true","fetch_graph":"https://pith.science/api/pith-number/V2YICO6T7C33SA3VONIDVX652C/graph.json","fetch_events":"https://pith.science/api/pith-number/V2YICO6T7C33SA3VONIDVX652C/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/V2YICO6T7C33SA3VONIDVX652C/action/timestamp_anchor","attest_storage":"https://pith.science/pith/V2YICO6T7C33SA3VONIDVX652C/action/storage_attestation","attest_author":"https://pith.science/pith/V2YICO6T7C33SA3VONIDVX652C/action/author_attestation","sign_citation":"https://pith.science/pith/V2YICO6T7C33SA3VONIDVX652C/action/citation_signature","submit_replication":"https://pith.science/pith/V2YICO6T7C33SA3VONIDVX652C/action/replication_record"}},"created_at":"2026-05-17T23:48:55.292866+00:00","updated_at":"2026-05-17T23:48:55.292866+00:00"}