{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:3X6GU2J326ARICAYLNNEZBXGB3","short_pith_number":"pith:3X6GU2J3","canonical_record":{"source":{"id":"1802.01571","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-02-03T22:17:23Z","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.supr-con","hep-th","math-ph","math.MP","quant-ph"],"title_canon_sha256":"6b815eef40ebf2196cf7709320d15e23b534fddc2b49d1e6e3992ad22ffacebe","abstract_canon_sha256":"8a3801d69a1a47cdb583cdf5cf040c924b76985e49f0602eef5e9cbf1eb2dff6"},"schema_version":"1.0"},"canonical_sha256":"ddfc6a693bd7811408185b5a4c86e60ec5a47d91f864f4452c6ce244e0227063","source":{"kind":"arxiv","id":"1802.01571","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.01571","created_at":"2026-05-18T00:16:26Z"},{"alias_kind":"arxiv_version","alias_value":"1802.01571v2","created_at":"2026-05-18T00:16:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.01571","created_at":"2026-05-18T00:16:26Z"},{"alias_kind":"pith_short_12","alias_value":"3X6GU2J326AR","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"3X6GU2J326ARICAY","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"3X6GU2J3","created_at":"2026-05-18T12:32:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:3X6GU2J326ARICAYLNNEZBXGB3","target":"record","payload":{"canonical_record":{"source":{"id":"1802.01571","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-02-03T22:17:23Z","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.supr-con","hep-th","math-ph","math.MP","quant-ph"],"title_canon_sha256":"6b815eef40ebf2196cf7709320d15e23b534fddc2b49d1e6e3992ad22ffacebe","abstract_canon_sha256":"8a3801d69a1a47cdb583cdf5cf040c924b76985e49f0602eef5e9cbf1eb2dff6"},"schema_version":"1.0"},"canonical_sha256":"ddfc6a693bd7811408185b5a4c86e60ec5a47d91f864f4452c6ce244e0227063","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:16:26.615784Z","signature_b64":"MmzrIRdWS99BmS4flhhqGqKodtMJlihe54K3eSiefY78epST8+s1MzuNpBTOhQXqqzEg6BQp+/tNegeobBGwAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ddfc6a693bd7811408185b5a4c86e60ec5a47d91f864f4452c6ce244e0227063","last_reissued_at":"2026-05-18T00:16:26.614544Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:16:26.614544Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1802.01571","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:16:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UQVq5QZUnsNQRAGX1Q/S7SQ+OCzxp7w932qRoMQJfxM9iJj1Lnwv7FR9zodcVptD2SDw5KRUvs3vSbXwSQSUCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T06:50:08.728750Z"},"content_sha256":"934ba3ee13ed233c040f330c1160a41f3f23f746c007120719abe8e21f6d8feb","schema_version":"1.0","event_id":"sha256:934ba3ee13ed233c040f330c1160a41f3f23f746c007120719abe8e21f6d8feb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:3X6GU2J326ARICAYLNNEZBXGB3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Integrable time-dependent Hamiltonians, solvable Landau-Zener models and Gaudin magnets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","cond-mat.supr-con","hep-th","math-ph","math.MP","quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Emil A. Yuzbashyan","submitted_at":"2018-02-03T22:17:23Z","abstract_excerpt":"We solve the non-stationary Schrodinger equation for several time-dependent Hamiltonians, such as the BCS Hamiltonian with an interaction strength inversely proportional to time, periodically driven BCS and linearly driven inhomogeneous Dicke models as well as various multi-level Landau-Zener tunneling models. The latter are Demkov-Osherov, bow-tie, and generalized bow-tie models. We show that these Landau-Zener problems and their certain interacting many-body generalizations map to Gaudin magnets in a magnetic field. Moreover, we demonstrate that the time-dependent Schrodinger equation for th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.01571","kind":"arxiv","version":2},"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":"2026-05-18T00:16:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KSmBYHUmOeeU2dXI6xoR1xOddIxEIG/ONFcY26xmN1c6aPi2ez78/kf+eC9TKPzBh3zfs1PUKaw0SGVhNbokAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T06:50:08.729494Z"},"content_sha256":"9674e938962ef5c86fb0524470140b830da00ef6b47256d3e9b8cba95ab2e2da","schema_version":"1.0","event_id":"sha256:9674e938962ef5c86fb0524470140b830da00ef6b47256d3e9b8cba95ab2e2da"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3X6GU2J326ARICAYLNNEZBXGB3/bundle.json","state_url":"https://pith.science/pith/3X6GU2J326ARICAYLNNEZBXGB3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3X6GU2J326ARICAYLNNEZBXGB3/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":"2026-08-20T06:50:08Z","links":{"resolver":"https://pith.science/pith/3X6GU2J326ARICAYLNNEZBXGB3","bundle":"https://pith.science/pith/3X6GU2J326ARICAYLNNEZBXGB3/bundle.json","state":"https://pith.science/pith/3X6GU2J326ARICAYLNNEZBXGB3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3X6GU2J326ARICAYLNNEZBXGB3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:3X6GU2J326ARICAYLNNEZBXGB3","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":"8a3801d69a1a47cdb583cdf5cf040c924b76985e49f0602eef5e9cbf1eb2dff6","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.supr-con","hep-th","math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-02-03T22:17:23Z","title_canon_sha256":"6b815eef40ebf2196cf7709320d15e23b534fddc2b49d1e6e3992ad22ffacebe"},"schema_version":"1.0","source":{"id":"1802.01571","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.01571","created_at":"2026-05-18T00:16:26Z"},{"alias_kind":"arxiv_version","alias_value":"1802.01571v2","created_at":"2026-05-18T00:16:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.01571","created_at":"2026-05-18T00:16:26Z"},{"alias_kind":"pith_short_12","alias_value":"3X6GU2J326AR","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"3X6GU2J326ARICAY","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"3X6GU2J3","created_at":"2026-05-18T12:32:05Z"}],"graph_snapshots":[{"event_id":"sha256:9674e938962ef5c86fb0524470140b830da00ef6b47256d3e9b8cba95ab2e2da","target":"graph","created_at":"2026-05-18T00:16:26Z","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 solve the non-stationary Schrodinger equation for several time-dependent Hamiltonians, such as the BCS Hamiltonian with an interaction strength inversely proportional to time, periodically driven BCS and linearly driven inhomogeneous Dicke models as well as various multi-level Landau-Zener tunneling models. The latter are Demkov-Osherov, bow-tie, and generalized bow-tie models. We show that these Landau-Zener problems and their certain interacting many-body generalizations map to Gaudin magnets in a magnetic field. Moreover, we demonstrate that the time-dependent Schrodinger equation for th","authors_text":"Emil A. Yuzbashyan","cross_cats":["cond-mat.quant-gas","cond-mat.supr-con","hep-th","math-ph","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-02-03T22:17:23Z","title":"Integrable time-dependent Hamiltonians, solvable Landau-Zener models and Gaudin magnets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.01571","kind":"arxiv","version":2},"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":"sha256:934ba3ee13ed233c040f330c1160a41f3f23f746c007120719abe8e21f6d8feb","target":"record","created_at":"2026-05-18T00:16:26Z","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":"8a3801d69a1a47cdb583cdf5cf040c924b76985e49f0602eef5e9cbf1eb2dff6","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.supr-con","hep-th","math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-02-03T22:17:23Z","title_canon_sha256":"6b815eef40ebf2196cf7709320d15e23b534fddc2b49d1e6e3992ad22ffacebe"},"schema_version":"1.0","source":{"id":"1802.01571","kind":"arxiv","version":2}},"canonical_sha256":"ddfc6a693bd7811408185b5a4c86e60ec5a47d91f864f4452c6ce244e0227063","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ddfc6a693bd7811408185b5a4c86e60ec5a47d91f864f4452c6ce244e0227063","first_computed_at":"2026-05-18T00:16:26.614544Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:26.614544Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MmzrIRdWS99BmS4flhhqGqKodtMJlihe54K3eSiefY78epST8+s1MzuNpBTOhQXqqzEg6BQp+/tNegeobBGwAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:26.615784Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.01571","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:934ba3ee13ed233c040f330c1160a41f3f23f746c007120719abe8e21f6d8feb","sha256:9674e938962ef5c86fb0524470140b830da00ef6b47256d3e9b8cba95ab2e2da"],"state_sha256":"c21609f7b0229fa2751b6a026f89e59e679e10c5cc03a5c3a860f87003b223b3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OQb0WdhX1E8k9muCuqa+nLLRZE+RJ+LGGhopGFA9A2hiKG+LinFmHQrXH7teSDSRSP0ansY6psLRnZ7Rda2rBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T06:50:08.736606Z","bundle_sha256":"10e0cbba06d74bfdce706f7b24c577a81c810d53b5bdcb1b51693871e74ec09c"}}