{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:LRTU26CB3ORZM3G6IVYC6TCVNT","short_pith_number":"pith:LRTU26CB","canonical_record":{"source":{"id":"0902.2634","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-02-16T09:04:27Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"2a734847facd141be8756ec3557e184b4242adca8586cdd0d317671edd03269b","abstract_canon_sha256":"8bd7228ee54ad0ce0bb1c1efdb21e9425c6e122b22ab5790f2b95aabbfb8ae27"},"schema_version":"1.0"},"canonical_sha256":"5c674d7841dba3966cde45702f4c556cd9870967f6a972a093e3786df9c46f04","source":{"kind":"arxiv","id":"0902.2634","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0902.2634","created_at":"2026-05-18T02:27:29Z"},{"alias_kind":"arxiv_version","alias_value":"0902.2634v1","created_at":"2026-05-18T02:27:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0902.2634","created_at":"2026-05-18T02:27:29Z"},{"alias_kind":"pith_short_12","alias_value":"LRTU26CB3ORZ","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"LRTU26CB3ORZM3G6","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"LRTU26CB","created_at":"2026-05-18T12:26:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:LRTU26CB3ORZM3G6IVYC6TCVNT","target":"record","payload":{"canonical_record":{"source":{"id":"0902.2634","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-02-16T09:04:27Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"2a734847facd141be8756ec3557e184b4242adca8586cdd0d317671edd03269b","abstract_canon_sha256":"8bd7228ee54ad0ce0bb1c1efdb21e9425c6e122b22ab5790f2b95aabbfb8ae27"},"schema_version":"1.0"},"canonical_sha256":"5c674d7841dba3966cde45702f4c556cd9870967f6a972a093e3786df9c46f04","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:27:29.813899Z","signature_b64":"aCvYVxES0cwYELqf0jBukE09gxskXUZnQTMZsifo6gVdsW3Ann8qvorXkyHFmpm2UB9L4a595FZ5tuI/dcCgDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5c674d7841dba3966cde45702f4c556cd9870967f6a972a093e3786df9c46f04","last_reissued_at":"2026-05-18T02:27:29.813027Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:27:29.813027Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0902.2634","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":"2026-05-18T02:27:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lf8AcfgDuHTIez9po6YZQKkqvWEgsVBZ0e4H2dRiwKt9WD7alLILO+/wtfCPcCi39AC1ENHFSZe3s8nQGlysBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T20:09:25.217988Z"},"content_sha256":"29946ea879edfd48f47a7838da1b752a493ab01be90b09ccb5f379f955d4ce70","schema_version":"1.0","event_id":"sha256:29946ea879edfd48f47a7838da1b752a493ab01be90b09ccb5f379f955d4ce70"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:LRTU26CB3ORZM3G6IVYC6TCVNT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Random repeated quantum interactions and random invariant states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"quant-ph","authors_text":"Cl\\'ement Pellegrini, Ion Nechita (ICJ)","submitted_at":"2009-02-16T09:04:27Z","abstract_excerpt":"We consider a generalized model of repeated quantum interactions, where a system $\\mathcal{H}$ is interacting in a random way with a sequence of independent quantum systems $\\mathcal{K}_n, n \\geq 1$. Two types of randomness are studied in detail. One is provided by considering Haar-distributed unitaries to describe each interaction between $\\mathcal{H}$ and $\\mathcal{K}_n$. The other involves random quantum states describing each copy $\\mathcal{K}_n$. In the limit of a large number of interactions, we present convergence results for the asymptotic state of $\\mathcal{H}$. This is achieved by st"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0902.2634","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":"2026-05-18T02:27:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3XBNQcJkBsqqrA0FrFq0JMB208F5lfhrxASHLbW8BZjiEsQEN2wMDTD5nzNzuCsANUgyPXlO58GaM51oVNahDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T20:09:25.218347Z"},"content_sha256":"d2dc3466524cef75eca36b8cd711706a5c45bb10f0775d25de07ef20891c5ab2","schema_version":"1.0","event_id":"sha256:d2dc3466524cef75eca36b8cd711706a5c45bb10f0775d25de07ef20891c5ab2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LRTU26CB3ORZM3G6IVYC6TCVNT/bundle.json","state_url":"https://pith.science/pith/LRTU26CB3ORZM3G6IVYC6TCVNT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LRTU26CB3ORZM3G6IVYC6TCVNT/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":"2026-06-01T20:09:25Z","links":{"resolver":"https://pith.science/pith/LRTU26CB3ORZM3G6IVYC6TCVNT","bundle":"https://pith.science/pith/LRTU26CB3ORZM3G6IVYC6TCVNT/bundle.json","state":"https://pith.science/pith/LRTU26CB3ORZM3G6IVYC6TCVNT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LRTU26CB3ORZM3G6IVYC6TCVNT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:LRTU26CB3ORZM3G6IVYC6TCVNT","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":"8bd7228ee54ad0ce0bb1c1efdb21e9425c6e122b22ab5790f2b95aabbfb8ae27","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-02-16T09:04:27Z","title_canon_sha256":"2a734847facd141be8756ec3557e184b4242adca8586cdd0d317671edd03269b"},"schema_version":"1.0","source":{"id":"0902.2634","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0902.2634","created_at":"2026-05-18T02:27:29Z"},{"alias_kind":"arxiv_version","alias_value":"0902.2634v1","created_at":"2026-05-18T02:27:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0902.2634","created_at":"2026-05-18T02:27:29Z"},{"alias_kind":"pith_short_12","alias_value":"LRTU26CB3ORZ","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"LRTU26CB3ORZM3G6","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"LRTU26CB","created_at":"2026-05-18T12:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:d2dc3466524cef75eca36b8cd711706a5c45bb10f0775d25de07ef20891c5ab2","target":"graph","created_at":"2026-05-18T02:27:29Z","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":"We consider a generalized model of repeated quantum interactions, where a system $\\mathcal{H}$ is interacting in a random way with a sequence of independent quantum systems $\\mathcal{K}_n, n \\geq 1$. Two types of randomness are studied in detail. One is provided by considering Haar-distributed unitaries to describe each interaction between $\\mathcal{H}$ and $\\mathcal{K}_n$. The other involves random quantum states describing each copy $\\mathcal{K}_n$. In the limit of a large number of interactions, we present convergence results for the asymptotic state of $\\mathcal{H}$. This is achieved by st","authors_text":"Cl\\'ement Pellegrini, Ion Nechita (ICJ)","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-02-16T09:04:27Z","title":"Random repeated quantum interactions and random invariant states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0902.2634","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":"sha256:29946ea879edfd48f47a7838da1b752a493ab01be90b09ccb5f379f955d4ce70","target":"record","created_at":"2026-05-18T02:27:29Z","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":"8bd7228ee54ad0ce0bb1c1efdb21e9425c6e122b22ab5790f2b95aabbfb8ae27","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-02-16T09:04:27Z","title_canon_sha256":"2a734847facd141be8756ec3557e184b4242adca8586cdd0d317671edd03269b"},"schema_version":"1.0","source":{"id":"0902.2634","kind":"arxiv","version":1}},"canonical_sha256":"5c674d7841dba3966cde45702f4c556cd9870967f6a972a093e3786df9c46f04","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5c674d7841dba3966cde45702f4c556cd9870967f6a972a093e3786df9c46f04","first_computed_at":"2026-05-18T02:27:29.813027Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:27:29.813027Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aCvYVxES0cwYELqf0jBukE09gxskXUZnQTMZsifo6gVdsW3Ann8qvorXkyHFmpm2UB9L4a595FZ5tuI/dcCgDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:27:29.813899Z","signed_message":"canonical_sha256_bytes"},"source_id":"0902.2634","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:29946ea879edfd48f47a7838da1b752a493ab01be90b09ccb5f379f955d4ce70","sha256:d2dc3466524cef75eca36b8cd711706a5c45bb10f0775d25de07ef20891c5ab2"],"state_sha256":"128c349af182c1f5e8e8d35311aca5ce2674660c74ab7b58fc1d5feb2f55871e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GlqMLVasntaKo5W6ZokJfaERfX1hIVdrYts+UUEp49rt1NXAqaftIgx7y7yzbhfpi3mXnNGULq4ujpj0GK2iDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T20:09:25.220267Z","bundle_sha256":"13db87b76ce544dd48dcbf810a9dcdd15b42f8f66ce577bd058ce38a5d0ce073"}}