{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:5VCCQOXL63MJ7VDC3WWANZFZ23","short_pith_number":"pith:5VCCQOXL","canonical_record":{"source":{"id":"1809.00558","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-09-03T11:31:39Z","cross_cats_sorted":[],"title_canon_sha256":"bfbb27d41ce7c6c721d5c6d5d83aae7201fd83e6b8006fef3fcef41b92629ab5","abstract_canon_sha256":"a517ced6771754a1f1607e2a18d5d2212a674a357de18dc9212ebab74af95080"},"schema_version":"1.0"},"canonical_sha256":"ed44283aebf6d89fd462ddac06e4b9d6f90164861833da9af1e52cad52c7969d","source":{"kind":"arxiv","id":"1809.00558","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.00558","created_at":"2026-05-18T00:06:33Z"},{"alias_kind":"arxiv_version","alias_value":"1809.00558v1","created_at":"2026-05-18T00:06:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.00558","created_at":"2026-05-18T00:06:33Z"},{"alias_kind":"pith_short_12","alias_value":"5VCCQOXL63MJ","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"5VCCQOXL63MJ7VDC","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"5VCCQOXL","created_at":"2026-05-18T12:32:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:5VCCQOXL63MJ7VDC3WWANZFZ23","target":"record","payload":{"canonical_record":{"source":{"id":"1809.00558","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-09-03T11:31:39Z","cross_cats_sorted":[],"title_canon_sha256":"bfbb27d41ce7c6c721d5c6d5d83aae7201fd83e6b8006fef3fcef41b92629ab5","abstract_canon_sha256":"a517ced6771754a1f1607e2a18d5d2212a674a357de18dc9212ebab74af95080"},"schema_version":"1.0"},"canonical_sha256":"ed44283aebf6d89fd462ddac06e4b9d6f90164861833da9af1e52cad52c7969d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:06:33.253787Z","signature_b64":"j5zQ+pE/CGOz6ZrJ5WP+Ms5URntcL+OqszA8svAa3fJjhBvns5qYFDRjfACQMnFFg4GZmXfhBC9xx0WtlOkQCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ed44283aebf6d89fd462ddac06e4b9d6f90164861833da9af1e52cad52c7969d","last_reissued_at":"2026-05-18T00:06:33.253173Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:06:33.253173Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1809.00558","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":"2026-05-18T00:06:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TfNyq5kpkrfuwP0La2CdPlTNICvttzWMgsaw4nVZLSHF41o76HIhXSQYVGKGwxzB/J1Y5hgg6kbksvcct1T9CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T11:59:51.563159Z"},"content_sha256":"e8da33fb77be8316fefd50b9dc393ee2d9a75713ab87259489bb9a33e2fd25ac","schema_version":"1.0","event_id":"sha256:e8da33fb77be8316fefd50b9dc393ee2d9a75713ab87259489bb9a33e2fd25ac"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:5VCCQOXL63MJ7VDC3WWANZFZ23","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Floquet theory of the analytical solution of a periodically driven two-level system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Heinz-J\\\"urgen Schmidt, J\\\"urgen Schnack, Martin Holthaus","submitted_at":"2018-09-03T11:31:39Z","abstract_excerpt":"We investigate the analytical solution of a two-level system subject to a monochromatical, linearly polarized external field that was published a couple of years ago. In particular, we derive an explicit expression for the quasienergy. Moreover, we calculate the time evolution of a typical two-level system over a full period by evaluating series solutions of the confluent Heun equation. This is possible without invoking the connection problem of this equation since the complete time evolution of the system under consideration can be reduced to that of the first quarter-period."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.00558","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":"2026-05-18T00:06:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t0+Y4O4HC4krAd5yuIZlQJbjYaXNa1uPiYec9CBBEz1fBYV4YDlC/hx6NlX23NYU5x1sTdNSTrdxwODW3j+WAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T11:59:51.563520Z"},"content_sha256":"a2203c9e33cf5bf57c80e8c1e48aa1d2dd50f5df3318c24e8603ce47cfc74a6d","schema_version":"1.0","event_id":"sha256:a2203c9e33cf5bf57c80e8c1e48aa1d2dd50f5df3318c24e8603ce47cfc74a6d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5VCCQOXL63MJ7VDC3WWANZFZ23/bundle.json","state_url":"https://pith.science/pith/5VCCQOXL63MJ7VDC3WWANZFZ23/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5VCCQOXL63MJ7VDC3WWANZFZ23/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":"2026-06-26T11:59:51Z","links":{"resolver":"https://pith.science/pith/5VCCQOXL63MJ7VDC3WWANZFZ23","bundle":"https://pith.science/pith/5VCCQOXL63MJ7VDC3WWANZFZ23/bundle.json","state":"https://pith.science/pith/5VCCQOXL63MJ7VDC3WWANZFZ23/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5VCCQOXL63MJ7VDC3WWANZFZ23/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:5VCCQOXL63MJ7VDC3WWANZFZ23","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":"a517ced6771754a1f1607e2a18d5d2212a674a357de18dc9212ebab74af95080","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-09-03T11:31:39Z","title_canon_sha256":"bfbb27d41ce7c6c721d5c6d5d83aae7201fd83e6b8006fef3fcef41b92629ab5"},"schema_version":"1.0","source":{"id":"1809.00558","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.00558","created_at":"2026-05-18T00:06:33Z"},{"alias_kind":"arxiv_version","alias_value":"1809.00558v1","created_at":"2026-05-18T00:06:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.00558","created_at":"2026-05-18T00:06:33Z"},{"alias_kind":"pith_short_12","alias_value":"5VCCQOXL63MJ","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"5VCCQOXL63MJ7VDC","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"5VCCQOXL","created_at":"2026-05-18T12:32:08Z"}],"graph_snapshots":[{"event_id":"sha256:a2203c9e33cf5bf57c80e8c1e48aa1d2dd50f5df3318c24e8603ce47cfc74a6d","target":"graph","created_at":"2026-05-18T00:06:33Z","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 investigate the analytical solution of a two-level system subject to a monochromatical, linearly polarized external field that was published a couple of years ago. In particular, we derive an explicit expression for the quasienergy. Moreover, we calculate the time evolution of a typical two-level system over a full period by evaluating series solutions of the confluent Heun equation. This is possible without invoking the connection problem of this equation since the complete time evolution of the system under consideration can be reduced to that of the first quarter-period.","authors_text":"Heinz-J\\\"urgen Schmidt, J\\\"urgen Schnack, Martin Holthaus","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-09-03T11:31:39Z","title":"Floquet theory of the analytical solution of a periodically driven two-level system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.00558","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:e8da33fb77be8316fefd50b9dc393ee2d9a75713ab87259489bb9a33e2fd25ac","target":"record","created_at":"2026-05-18T00:06:33Z","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":"a517ced6771754a1f1607e2a18d5d2212a674a357de18dc9212ebab74af95080","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-09-03T11:31:39Z","title_canon_sha256":"bfbb27d41ce7c6c721d5c6d5d83aae7201fd83e6b8006fef3fcef41b92629ab5"},"schema_version":"1.0","source":{"id":"1809.00558","kind":"arxiv","version":1}},"canonical_sha256":"ed44283aebf6d89fd462ddac06e4b9d6f90164861833da9af1e52cad52c7969d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ed44283aebf6d89fd462ddac06e4b9d6f90164861833da9af1e52cad52c7969d","first_computed_at":"2026-05-18T00:06:33.253173Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:06:33.253173Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j5zQ+pE/CGOz6ZrJ5WP+Ms5URntcL+OqszA8svAa3fJjhBvns5qYFDRjfACQMnFFg4GZmXfhBC9xx0WtlOkQCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:06:33.253787Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.00558","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e8da33fb77be8316fefd50b9dc393ee2d9a75713ab87259489bb9a33e2fd25ac","sha256:a2203c9e33cf5bf57c80e8c1e48aa1d2dd50f5df3318c24e8603ce47cfc74a6d"],"state_sha256":"1cf41d1f7a78cdb87fc0a009c429463d7ce8bfe748364ff071703a568fb860e5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jWivTdY+HckcMze+eUvBuAQKtXacOxTkpstrOoviuLM5DHuoUHCiU3DCA1Nj+4CsFZqLMoMc2z9aaHnnnbuOBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T11:59:51.565329Z","bundle_sha256":"2f2bf9430e7562e768202212e5f6fc05c7301f2ed40f3853009ff1b64bfac1c8"}}