{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:O76YA2EI43XZLSBRKVY6RTTWAR","short_pith_number":"pith:O76YA2EI","canonical_record":{"source":{"id":"1103.4383","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-03-22T21:04:28Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"20c5fc1dcd5bd0abbf838627b00b1b0362dac209267dbcc6ce2ff573976e9a40","abstract_canon_sha256":"c8e27f6a2f67b8f39d6a9726543872078892e5371362e8eac7375dd090ebca86"},"schema_version":"1.0"},"canonical_sha256":"77fd806888e6ef95c8315571e8ce7604470000bff025f48b1341364115107dd7","source":{"kind":"arxiv","id":"1103.4383","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.4383","created_at":"2026-05-18T04:24:34Z"},{"alias_kind":"arxiv_version","alias_value":"1103.4383v1","created_at":"2026-05-18T04:24:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.4383","created_at":"2026-05-18T04:24:34Z"},{"alias_kind":"pith_short_12","alias_value":"O76YA2EI43XZ","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"O76YA2EI43XZLSBR","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"O76YA2EI","created_at":"2026-05-18T12:26:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:O76YA2EI43XZLSBRKVY6RTTWAR","target":"record","payload":{"canonical_record":{"source":{"id":"1103.4383","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-03-22T21:04:28Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"20c5fc1dcd5bd0abbf838627b00b1b0362dac209267dbcc6ce2ff573976e9a40","abstract_canon_sha256":"c8e27f6a2f67b8f39d6a9726543872078892e5371362e8eac7375dd090ebca86"},"schema_version":"1.0"},"canonical_sha256":"77fd806888e6ef95c8315571e8ce7604470000bff025f48b1341364115107dd7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:24:34.943143Z","signature_b64":"hEALr9OyJ85eA9/3KhtuYqDbicpVjZELixdpxLo5Jwe96xvlEr7W4L64vJZXqSA05j2GIS62SWCbeAcIot56AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"77fd806888e6ef95c8315571e8ce7604470000bff025f48b1341364115107dd7","last_reissued_at":"2026-05-18T04:24:34.942761Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:24:34.942761Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1103.4383","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":"2026-05-18T04:24:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rfo3bmV07fTNs8YCVgSAUvEvMzzxC4xjf6qCemv9G2bTqTUfFR5uP/zUUBjWv5adAAAjL3GQ/UT4RMcMID/7BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T21:09:36.102476Z"},"content_sha256":"72a12b66c0bf13ef1186ccf11a0786825b76b6f363923346c97d2e8834b48dde","schema_version":"1.0","event_id":"sha256:72a12b66c0bf13ef1186ccf11a0786825b76b6f363923346c97d2e8834b48dde"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:O76YA2EI43XZLSBRKVY6RTTWAR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact solution of the Schrodinger equation with the spin-boson Hamiltonian","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Bartlomiej Gardas","submitted_at":"2011-03-22T21:04:28Z","abstract_excerpt":"We address the problem of obtaining the exact reduced dynamics of the spin-half (qubit) immersed within the bosonic bath (enviroment). An exact solution of the Schrodinger equation with the paradigmatic spin-boson Hamiltonian is obtained. We believe that this result is a major step ahead and may ultimately contribute to the complete resolution of the problem in question. We also construct the constant of motion for the spin-boson system. In contrast to the standard techniques available within the framework of the open quantum systems theory, our analysis is based on the theory of block operato"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.4383","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":"2026-05-18T04:24:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y/SGxZG6nljP3I2nk9Pps69syIlrAH9K6JyY5RB8lDLrgbDyqJ2SHEQd9ViaicZbdJ+/jAKFUto9hrJjgxvHDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T21:09:36.103163Z"},"content_sha256":"e6587aedc373952c015c360c47e78142db858f7fcf87c1859bc3978f04793914","schema_version":"1.0","event_id":"sha256:e6587aedc373952c015c360c47e78142db858f7fcf87c1859bc3978f04793914"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/O76YA2EI43XZLSBRKVY6RTTWAR/bundle.json","state_url":"https://pith.science/pith/O76YA2EI43XZLSBRKVY6RTTWAR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/O76YA2EI43XZLSBRKVY6RTTWAR/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":"2026-06-09T21:09:36Z","links":{"resolver":"https://pith.science/pith/O76YA2EI43XZLSBRKVY6RTTWAR","bundle":"https://pith.science/pith/O76YA2EI43XZLSBRKVY6RTTWAR/bundle.json","state":"https://pith.science/pith/O76YA2EI43XZLSBRKVY6RTTWAR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/O76YA2EI43XZLSBRKVY6RTTWAR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:O76YA2EI43XZLSBRKVY6RTTWAR","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":"c8e27f6a2f67b8f39d6a9726543872078892e5371362e8eac7375dd090ebca86","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-03-22T21:04:28Z","title_canon_sha256":"20c5fc1dcd5bd0abbf838627b00b1b0362dac209267dbcc6ce2ff573976e9a40"},"schema_version":"1.0","source":{"id":"1103.4383","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.4383","created_at":"2026-05-18T04:24:34Z"},{"alias_kind":"arxiv_version","alias_value":"1103.4383v1","created_at":"2026-05-18T04:24:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.4383","created_at":"2026-05-18T04:24:34Z"},{"alias_kind":"pith_short_12","alias_value":"O76YA2EI43XZ","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"O76YA2EI43XZLSBR","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"O76YA2EI","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:e6587aedc373952c015c360c47e78142db858f7fcf87c1859bc3978f04793914","target":"graph","created_at":"2026-05-18T04:24:34Z","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 address the problem of obtaining the exact reduced dynamics of the spin-half (qubit) immersed within the bosonic bath (enviroment). An exact solution of the Schrodinger equation with the paradigmatic spin-boson Hamiltonian is obtained. We believe that this result is a major step ahead and may ultimately contribute to the complete resolution of the problem in question. We also construct the constant of motion for the spin-boson system. In contrast to the standard techniques available within the framework of the open quantum systems theory, our analysis is based on the theory of block operato","authors_text":"Bartlomiej Gardas","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-03-22T21:04:28Z","title":"Exact solution of the Schrodinger equation with the spin-boson Hamiltonian"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.4383","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":"sha256:72a12b66c0bf13ef1186ccf11a0786825b76b6f363923346c97d2e8834b48dde","target":"record","created_at":"2026-05-18T04:24:34Z","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":"c8e27f6a2f67b8f39d6a9726543872078892e5371362e8eac7375dd090ebca86","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-03-22T21:04:28Z","title_canon_sha256":"20c5fc1dcd5bd0abbf838627b00b1b0362dac209267dbcc6ce2ff573976e9a40"},"schema_version":"1.0","source":{"id":"1103.4383","kind":"arxiv","version":1}},"canonical_sha256":"77fd806888e6ef95c8315571e8ce7604470000bff025f48b1341364115107dd7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"77fd806888e6ef95c8315571e8ce7604470000bff025f48b1341364115107dd7","first_computed_at":"2026-05-18T04:24:34.942761Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:24:34.942761Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hEALr9OyJ85eA9/3KhtuYqDbicpVjZELixdpxLo5Jwe96xvlEr7W4L64vJZXqSA05j2GIS62SWCbeAcIot56AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:24:34.943143Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.4383","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:72a12b66c0bf13ef1186ccf11a0786825b76b6f363923346c97d2e8834b48dde","sha256:e6587aedc373952c015c360c47e78142db858f7fcf87c1859bc3978f04793914"],"state_sha256":"3a8c2cd89484b0a63fd938140ee297bfb712f5d5da8f919c86cb2b8679ad9842"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YZ9pTn3l+i0w5ZQtjOv/zhPlC/xJVFjCsfxFK+kcH2VgA8yYEoE7yEPLA/ipIofbD7CtIizFXQweWGE6BlpZCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T21:09:36.107188Z","bundle_sha256":"d7525dfdffa810058fc6236e61e54ea71981d2cab284fc3091355aab562cc804"}}