{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:WKJ7XKS6UJOJFXW2HW6G566GWS","short_pith_number":"pith:WKJ7XKS6","canonical_record":{"source":{"id":"1904.11763","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-04-26T11:13:43Z","cross_cats_sorted":[],"title_canon_sha256":"9e401344e20bedf1a2b26f3eeef976834bf31df005f1c44728fc07666a65507e","abstract_canon_sha256":"dd356524e3b6695758760abbde67d6ddb2229c8f79a343c84ce3419bf5bb8217"},"schema_version":"1.0"},"canonical_sha256":"b293fbaa5ea25c92deda3dbc6efbc6b4a07c5c099dd0ddb3f2f2dd37748f21eb","source":{"kind":"arxiv","id":"1904.11763","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.11763","created_at":"2026-07-05T01:14:24Z"},{"alias_kind":"arxiv_version","alias_value":"1904.11763v3","created_at":"2026-07-05T01:14:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.11763","created_at":"2026-07-05T01:14:24Z"},{"alias_kind":"pith_short_12","alias_value":"WKJ7XKS6UJOJ","created_at":"2026-07-05T01:14:24Z"},{"alias_kind":"pith_short_16","alias_value":"WKJ7XKS6UJOJFXW2","created_at":"2026-07-05T01:14:24Z"},{"alias_kind":"pith_short_8","alias_value":"WKJ7XKS6","created_at":"2026-07-05T01:14:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:WKJ7XKS6UJOJFXW2HW6G566GWS","target":"record","payload":{"canonical_record":{"source":{"id":"1904.11763","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-04-26T11:13:43Z","cross_cats_sorted":[],"title_canon_sha256":"9e401344e20bedf1a2b26f3eeef976834bf31df005f1c44728fc07666a65507e","abstract_canon_sha256":"dd356524e3b6695758760abbde67d6ddb2229c8f79a343c84ce3419bf5bb8217"},"schema_version":"1.0"},"canonical_sha256":"b293fbaa5ea25c92deda3dbc6efbc6b4a07c5c099dd0ddb3f2f2dd37748f21eb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:14:24.797127Z","signature_b64":"nxDqKXLMluRzz2Zdfyvxws5zmXC4r32XWr2zMq8+MOVmUsVNP5xRFAUnKiDEvrwZGVI0NCw8b0Tc14yphy4kBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b293fbaa5ea25c92deda3dbc6efbc6b4a07c5c099dd0ddb3f2f2dd37748f21eb","last_reissued_at":"2026-07-05T01:14:24.796708Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:14:24.796708Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1904.11763","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":"2026-07-05T01:14:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nwW+ySNk88VmdLW2jYkUNrzJfQvC6wf0IzjtXvNqakE6JRrpdQ4xlYW4x1TbU5pFHsit+YwkvV0t4vqdd/ZaAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T03:51:15.700565Z"},"content_sha256":"94782f5092986021f1024a0f2b8a0fd8aca65a0ee776e775b46ba6ef8d7b3814","schema_version":"1.0","event_id":"sha256:94782f5092986021f1024a0f2b8a0fd8aca65a0ee776e775b46ba6ef8d7b3814"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:WKJ7XKS6UJOJFXW2HW6G566GWS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Synchronization in two-level quantum systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"\\'Alvaro Parra-L\\'opez, Joakim Bergli","submitted_at":"2019-04-26T11:13:43Z","abstract_excerpt":"Recently, it was shown that dissipative quantum systems with three or more levels are able to synchronize to an external signal, but it was stated that it is not possible for two-level systems as they lack a stable limit cycle in the unperturbed dynamics. At the same time, several papers, demonstrate, under a different definition of what is synchronization, that the latter is possible in qubits, although in different models which also include other elements. We show how a quantum two-level system can be understood as containing a valid limit cycle as the starting point of synchronization, and "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.11763","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1904.11763/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":"2026-07-05T01:14:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rKflvfbvhrnKYMDz3hWZnoqWsjJG6zFr3UM+js9vowDKA5GUJ+jlZRhglNZnZCFgNh2Sj7z8Ll6bWkEA3wboCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T03:51:15.701190Z"},"content_sha256":"89da5ff118fee06b2c6d969d534d5696d1624291ae04615a717c7037a5a7fc90","schema_version":"1.0","event_id":"sha256:89da5ff118fee06b2c6d969d534d5696d1624291ae04615a717c7037a5a7fc90"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WKJ7XKS6UJOJFXW2HW6G566GWS/bundle.json","state_url":"https://pith.science/pith/WKJ7XKS6UJOJFXW2HW6G566GWS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WKJ7XKS6UJOJFXW2HW6G566GWS/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":"2026-08-07T03:51:15Z","links":{"resolver":"https://pith.science/pith/WKJ7XKS6UJOJFXW2HW6G566GWS","bundle":"https://pith.science/pith/WKJ7XKS6UJOJFXW2HW6G566GWS/bundle.json","state":"https://pith.science/pith/WKJ7XKS6UJOJFXW2HW6G566GWS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WKJ7XKS6UJOJFXW2HW6G566GWS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:WKJ7XKS6UJOJFXW2HW6G566GWS","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":"dd356524e3b6695758760abbde67d6ddb2229c8f79a343c84ce3419bf5bb8217","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-04-26T11:13:43Z","title_canon_sha256":"9e401344e20bedf1a2b26f3eeef976834bf31df005f1c44728fc07666a65507e"},"schema_version":"1.0","source":{"id":"1904.11763","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.11763","created_at":"2026-07-05T01:14:24Z"},{"alias_kind":"arxiv_version","alias_value":"1904.11763v3","created_at":"2026-07-05T01:14:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.11763","created_at":"2026-07-05T01:14:24Z"},{"alias_kind":"pith_short_12","alias_value":"WKJ7XKS6UJOJ","created_at":"2026-07-05T01:14:24Z"},{"alias_kind":"pith_short_16","alias_value":"WKJ7XKS6UJOJFXW2","created_at":"2026-07-05T01:14:24Z"},{"alias_kind":"pith_short_8","alias_value":"WKJ7XKS6","created_at":"2026-07-05T01:14:24Z"}],"graph_snapshots":[{"event_id":"sha256:89da5ff118fee06b2c6d969d534d5696d1624291ae04615a717c7037a5a7fc90","target":"graph","created_at":"2026-07-05T01:14:24Z","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/1904.11763/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recently, it was shown that dissipative quantum systems with three or more levels are able to synchronize to an external signal, but it was stated that it is not possible for two-level systems as they lack a stable limit cycle in the unperturbed dynamics. At the same time, several papers, demonstrate, under a different definition of what is synchronization, that the latter is possible in qubits, although in different models which also include other elements. We show how a quantum two-level system can be understood as containing a valid limit cycle as the starting point of synchronization, and ","authors_text":"\\'Alvaro Parra-L\\'opez, Joakim Bergli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-04-26T11:13:43Z","title":"Synchronization in two-level quantum systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.11763","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":"sha256:94782f5092986021f1024a0f2b8a0fd8aca65a0ee776e775b46ba6ef8d7b3814","target":"record","created_at":"2026-07-05T01:14:24Z","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":"dd356524e3b6695758760abbde67d6ddb2229c8f79a343c84ce3419bf5bb8217","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-04-26T11:13:43Z","title_canon_sha256":"9e401344e20bedf1a2b26f3eeef976834bf31df005f1c44728fc07666a65507e"},"schema_version":"1.0","source":{"id":"1904.11763","kind":"arxiv","version":3}},"canonical_sha256":"b293fbaa5ea25c92deda3dbc6efbc6b4a07c5c099dd0ddb3f2f2dd37748f21eb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b293fbaa5ea25c92deda3dbc6efbc6b4a07c5c099dd0ddb3f2f2dd37748f21eb","first_computed_at":"2026-07-05T01:14:24.796708Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:14:24.796708Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nxDqKXLMluRzz2Zdfyvxws5zmXC4r32XWr2zMq8+MOVmUsVNP5xRFAUnKiDEvrwZGVI0NCw8b0Tc14yphy4kBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:14:24.797127Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.11763","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:94782f5092986021f1024a0f2b8a0fd8aca65a0ee776e775b46ba6ef8d7b3814","sha256:89da5ff118fee06b2c6d969d534d5696d1624291ae04615a717c7037a5a7fc90"],"state_sha256":"5b7bdfc4ed4cb9e7da770c7634abd49ce08c8d720b984f91059e802b61337a38"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BIeSrem/jK/Jn3PazmNlDJMaWo+T8H4XwMqDmdfHnU5r0VTnaAQ1/kH83gKa29P4DaG+iVv3r/jCmm9cziqhBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T03:51:15.705743Z","bundle_sha256":"6b55f22ae291d469f71cb70383aa12c5ba6ad24232952fc0e363eaed167a0a1d"}}