{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:OFRYWTWOXCEDBYBHGULZJJRCYX","short_pith_number":"pith:OFRYWTWO","canonical_record":{"source":{"id":"1504.05886","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-04-22T17:02:22Z","cross_cats_sorted":["math.MP","quant-ph"],"title_canon_sha256":"4b58134a8f87ddfe0000557986f037d322f46d3be99a58a54555627cd2974d67","abstract_canon_sha256":"6378280e8b94b8f1301b11b675b3d3ea8c00b2255efef9a770d8133f798803c4"},"schema_version":"1.0"},"canonical_sha256":"71638b4eceb88830e027351794a622c5d7f4f83a80aa849ee5fda1349e6f3a39","source":{"kind":"arxiv","id":"1504.05886","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.05886","created_at":"2026-05-18T02:18:04Z"},{"alias_kind":"arxiv_version","alias_value":"1504.05886v1","created_at":"2026-05-18T02:18:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.05886","created_at":"2026-05-18T02:18:04Z"},{"alias_kind":"pith_short_12","alias_value":"OFRYWTWOXCED","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"OFRYWTWOXCEDBYBH","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"OFRYWTWO","created_at":"2026-05-18T12:29:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:OFRYWTWOXCEDBYBHGULZJJRCYX","target":"record","payload":{"canonical_record":{"source":{"id":"1504.05886","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-04-22T17:02:22Z","cross_cats_sorted":["math.MP","quant-ph"],"title_canon_sha256":"4b58134a8f87ddfe0000557986f037d322f46d3be99a58a54555627cd2974d67","abstract_canon_sha256":"6378280e8b94b8f1301b11b675b3d3ea8c00b2255efef9a770d8133f798803c4"},"schema_version":"1.0"},"canonical_sha256":"71638b4eceb88830e027351794a622c5d7f4f83a80aa849ee5fda1349e6f3a39","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:18:04.785371Z","signature_b64":"jaisY4a3iRiwWNzWy2DujuFtN/Rf7BbPfJbzA+Iy++IW85c03tZpUFxLx2MULUqlVkrSKhHitBW7HeYbbsdPBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"71638b4eceb88830e027351794a622c5d7f4f83a80aa849ee5fda1349e6f3a39","last_reissued_at":"2026-05-18T02:18:04.784503Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:18:04.784503Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1504.05886","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":"2026-05-18T02:18:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5W1GcHkP0KnLDL/j+T6/Xzj+d25K+ms4MvjDxNbPGceAr9JJX1b71UtQcMnwPjQ0UYiIv9hML5KNufnYgtjaAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T06:57:41.736215Z"},"content_sha256":"e8045ae64965c16d7c16c74a2eaf6055f85151968072d590bdfd572ed563e9f2","schema_version":"1.0","event_id":"sha256:e8045ae64965c16d7c16c74a2eaf6055f85151968072d590bdfd572ed563e9f2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:OFRYWTWOXCEDBYBHGULZJJRCYX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An exactly solvable system from quantum optics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Andrzej J. Maciejewski, Maria Przybylska, Tomasz Stachowiak","submitted_at":"2015-04-22T17:02:22Z","abstract_excerpt":"We investigate a generalisation of the Rabi system in the Bargmann-Fock representation. In this representation the eigenproblem of the considered quantum model is described by a system of two linear differential equations with one independent variable. The system has only one irregular singular point at infinity. We show how the quantisation of the model is related to asymptotic behaviour of solutions in a vicinity of this point. The explicit formulae for the spectrum and eigenfunctions of the model follow from an analysis of the Stokes phenomenon. An interpretation of the obtained results in "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.05886","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":"2026-05-18T02:18:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JWDffgWk9blgmrsKK8Xcr0XRVM31JCACe+qUoaVo9AOkjy20hzeMmrOphKTszuIFqpzCod6CbVjl84otaZAEBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T06:57:41.736583Z"},"content_sha256":"0b4b8181be669ee08a84eec93fc5c156d7873fe659070747cbc8fb3f9baadac7","schema_version":"1.0","event_id":"sha256:0b4b8181be669ee08a84eec93fc5c156d7873fe659070747cbc8fb3f9baadac7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OFRYWTWOXCEDBYBHGULZJJRCYX/bundle.json","state_url":"https://pith.science/pith/OFRYWTWOXCEDBYBHGULZJJRCYX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OFRYWTWOXCEDBYBHGULZJJRCYX/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":"2026-05-31T06:57:41Z","links":{"resolver":"https://pith.science/pith/OFRYWTWOXCEDBYBHGULZJJRCYX","bundle":"https://pith.science/pith/OFRYWTWOXCEDBYBHGULZJJRCYX/bundle.json","state":"https://pith.science/pith/OFRYWTWOXCEDBYBHGULZJJRCYX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OFRYWTWOXCEDBYBHGULZJJRCYX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:OFRYWTWOXCEDBYBHGULZJJRCYX","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":"6378280e8b94b8f1301b11b675b3d3ea8c00b2255efef9a770d8133f798803c4","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-04-22T17:02:22Z","title_canon_sha256":"4b58134a8f87ddfe0000557986f037d322f46d3be99a58a54555627cd2974d67"},"schema_version":"1.0","source":{"id":"1504.05886","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.05886","created_at":"2026-05-18T02:18:04Z"},{"alias_kind":"arxiv_version","alias_value":"1504.05886v1","created_at":"2026-05-18T02:18:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.05886","created_at":"2026-05-18T02:18:04Z"},{"alias_kind":"pith_short_12","alias_value":"OFRYWTWOXCED","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"OFRYWTWOXCEDBYBH","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"OFRYWTWO","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:0b4b8181be669ee08a84eec93fc5c156d7873fe659070747cbc8fb3f9baadac7","target":"graph","created_at":"2026-05-18T02:18:04Z","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 a generalisation of the Rabi system in the Bargmann-Fock representation. In this representation the eigenproblem of the considered quantum model is described by a system of two linear differential equations with one independent variable. The system has only one irregular singular point at infinity. We show how the quantisation of the model is related to asymptotic behaviour of solutions in a vicinity of this point. The explicit formulae for the spectrum and eigenfunctions of the model follow from an analysis of the Stokes phenomenon. An interpretation of the obtained results in ","authors_text":"Andrzej J. Maciejewski, Maria Przybylska, Tomasz Stachowiak","cross_cats":["math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-04-22T17:02:22Z","title":"An exactly solvable system from quantum optics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.05886","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:e8045ae64965c16d7c16c74a2eaf6055f85151968072d590bdfd572ed563e9f2","target":"record","created_at":"2026-05-18T02:18:04Z","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":"6378280e8b94b8f1301b11b675b3d3ea8c00b2255efef9a770d8133f798803c4","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-04-22T17:02:22Z","title_canon_sha256":"4b58134a8f87ddfe0000557986f037d322f46d3be99a58a54555627cd2974d67"},"schema_version":"1.0","source":{"id":"1504.05886","kind":"arxiv","version":1}},"canonical_sha256":"71638b4eceb88830e027351794a622c5d7f4f83a80aa849ee5fda1349e6f3a39","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"71638b4eceb88830e027351794a622c5d7f4f83a80aa849ee5fda1349e6f3a39","first_computed_at":"2026-05-18T02:18:04.784503Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:18:04.784503Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jaisY4a3iRiwWNzWy2DujuFtN/Rf7BbPfJbzA+Iy++IW85c03tZpUFxLx2MULUqlVkrSKhHitBW7HeYbbsdPBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:18:04.785371Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.05886","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e8045ae64965c16d7c16c74a2eaf6055f85151968072d590bdfd572ed563e9f2","sha256:0b4b8181be669ee08a84eec93fc5c156d7873fe659070747cbc8fb3f9baadac7"],"state_sha256":"7472d450c0ad641683ed2edfc8f3d21ecd25845aec89d2dd64ecc2f4a4ef7c55"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H6CcDthE60rXxjG+s0qseUBXur0BlEhodPNzBqVAa843fgPAv1fwyH1P0h7zAhJZkLnM031/vMj6grZf4XAmAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T06:57:41.740252Z","bundle_sha256":"149a361f6770e87bcc5c3be5194ac8a90604cd6fb633261a1b9a21c1a9d36be7"}}