{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:6RPTCIE3XJTCHX2HAT5ZDX6U5H","short_pith_number":"pith:6RPTCIE3","canonical_record":{"source":{"id":"1604.06596","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-04-22T10:09:38Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"0c47c6b8091d048ab6d90619878ac83fd96426b96574422fe23384d180693fa9","abstract_canon_sha256":"6ed271380f8f64eec8dc4ae60451f7a126809a80e1442cdbd7ee177086488bc7"},"schema_version":"1.0"},"canonical_sha256":"f45f31209bba6623df4704fb91dfd4e9d669027bf8e73474e30c25f7c8f9a847","source":{"kind":"arxiv","id":"1604.06596","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.06596","created_at":"2026-05-18T00:49:18Z"},{"alias_kind":"arxiv_version","alias_value":"1604.06596v1","created_at":"2026-05-18T00:49:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.06596","created_at":"2026-05-18T00:49:18Z"},{"alias_kind":"pith_short_12","alias_value":"6RPTCIE3XJTC","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"6RPTCIE3XJTCHX2H","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"6RPTCIE3","created_at":"2026-05-18T12:30:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:6RPTCIE3XJTCHX2HAT5ZDX6U5H","target":"record","payload":{"canonical_record":{"source":{"id":"1604.06596","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-04-22T10:09:38Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"0c47c6b8091d048ab6d90619878ac83fd96426b96574422fe23384d180693fa9","abstract_canon_sha256":"6ed271380f8f64eec8dc4ae60451f7a126809a80e1442cdbd7ee177086488bc7"},"schema_version":"1.0"},"canonical_sha256":"f45f31209bba6623df4704fb91dfd4e9d669027bf8e73474e30c25f7c8f9a847","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:18.830896Z","signature_b64":"UiuHjBoat5v0dI6nkIabOZWQ9SxG3sGrxttpoxvXzUpvkuHGEkE66gm8zmyDKOKezevFac9JZChM/xr8EVMADw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f45f31209bba6623df4704fb91dfd4e9d669027bf8e73474e30c25f7c8f9a847","last_reissued_at":"2026-05-18T00:49:18.830544Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:18.830544Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.06596","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":"2026-05-18T00:49:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uwoNelWj2vzNwv3i/4LjegYopxt1NEt53I//irPrlUlChsNQ1p75S0H0g3Fj5rUBWyZHU1dR9dtogoFh9FABDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T00:31:19.021950Z"},"content_sha256":"fa14615b53f1cca875128f360c5513140cf5c9353fa9da25e45512e9e3dacb29","schema_version":"1.0","event_id":"sha256:fa14615b53f1cca875128f360c5513140cf5c9353fa9da25e45512e9e3dacb29"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:6RPTCIE3XJTCHX2HAT5ZDX6U5H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Quantization of the Rabi Hamiltonian","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Arnout Ceulemans, Athanasios G. Arvanitidis, Eva R. J. Vandaele","submitted_at":"2016-04-22T10:09:38Z","abstract_excerpt":"The Bargmann-Fock representation of the Rabi Hamiltonian is expressed by a system of two coupled first-order differential equations in the complex field, which may be rewritten in a canonical form under the Birkhoff transformation. The transformation gives rise to leapfrog recurrence relations, from which the eigenvalues and eigenvectors could be obtained. The interesting feature of this approach is that it generates integer quantum numbers, which relate the solutions to the Juddian baselines. The relationship with Braak's integrability claim [PRL 107, 100401 (2011)] is discussed"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.06596","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":"2026-05-18T00:49:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s/7W3uM6/Cr7Df3ls6ap8nykiKOOy+bLBhcjhqiPbCKdOE2e3BksxlJ/vtBiB8fYLFDYzcJ7lGz6WnD8A++SDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T00:31:19.022329Z"},"content_sha256":"d5e61fde0d035f2ec29264994dad2813ea2518885f01977b390afebfe82111c2","schema_version":"1.0","event_id":"sha256:d5e61fde0d035f2ec29264994dad2813ea2518885f01977b390afebfe82111c2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6RPTCIE3XJTCHX2HAT5ZDX6U5H/bundle.json","state_url":"https://pith.science/pith/6RPTCIE3XJTCHX2HAT5ZDX6U5H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6RPTCIE3XJTCHX2HAT5ZDX6U5H/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":"2026-06-02T00:31:19Z","links":{"resolver":"https://pith.science/pith/6RPTCIE3XJTCHX2HAT5ZDX6U5H","bundle":"https://pith.science/pith/6RPTCIE3XJTCHX2HAT5ZDX6U5H/bundle.json","state":"https://pith.science/pith/6RPTCIE3XJTCHX2HAT5ZDX6U5H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6RPTCIE3XJTCHX2HAT5ZDX6U5H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:6RPTCIE3XJTCHX2HAT5ZDX6U5H","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":"6ed271380f8f64eec8dc4ae60451f7a126809a80e1442cdbd7ee177086488bc7","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-04-22T10:09:38Z","title_canon_sha256":"0c47c6b8091d048ab6d90619878ac83fd96426b96574422fe23384d180693fa9"},"schema_version":"1.0","source":{"id":"1604.06596","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.06596","created_at":"2026-05-18T00:49:18Z"},{"alias_kind":"arxiv_version","alias_value":"1604.06596v1","created_at":"2026-05-18T00:49:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.06596","created_at":"2026-05-18T00:49:18Z"},{"alias_kind":"pith_short_12","alias_value":"6RPTCIE3XJTC","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"6RPTCIE3XJTCHX2H","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"6RPTCIE3","created_at":"2026-05-18T12:30:01Z"}],"graph_snapshots":[{"event_id":"sha256:d5e61fde0d035f2ec29264994dad2813ea2518885f01977b390afebfe82111c2","target":"graph","created_at":"2026-05-18T00:49:18Z","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":"The Bargmann-Fock representation of the Rabi Hamiltonian is expressed by a system of two coupled first-order differential equations in the complex field, which may be rewritten in a canonical form under the Birkhoff transformation. The transformation gives rise to leapfrog recurrence relations, from which the eigenvalues and eigenvectors could be obtained. The interesting feature of this approach is that it generates integer quantum numbers, which relate the solutions to the Juddian baselines. The relationship with Braak's integrability claim [PRL 107, 100401 (2011)] is discussed","authors_text":"Arnout Ceulemans, Athanasios G. Arvanitidis, Eva R. J. Vandaele","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-04-22T10:09:38Z","title":"The Quantization of the Rabi Hamiltonian"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.06596","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:fa14615b53f1cca875128f360c5513140cf5c9353fa9da25e45512e9e3dacb29","target":"record","created_at":"2026-05-18T00:49:18Z","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":"6ed271380f8f64eec8dc4ae60451f7a126809a80e1442cdbd7ee177086488bc7","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-04-22T10:09:38Z","title_canon_sha256":"0c47c6b8091d048ab6d90619878ac83fd96426b96574422fe23384d180693fa9"},"schema_version":"1.0","source":{"id":"1604.06596","kind":"arxiv","version":1}},"canonical_sha256":"f45f31209bba6623df4704fb91dfd4e9d669027bf8e73474e30c25f7c8f9a847","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f45f31209bba6623df4704fb91dfd4e9d669027bf8e73474e30c25f7c8f9a847","first_computed_at":"2026-05-18T00:49:18.830544Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:18.830544Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UiuHjBoat5v0dI6nkIabOZWQ9SxG3sGrxttpoxvXzUpvkuHGEkE66gm8zmyDKOKezevFac9JZChM/xr8EVMADw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:18.830896Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.06596","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fa14615b53f1cca875128f360c5513140cf5c9353fa9da25e45512e9e3dacb29","sha256:d5e61fde0d035f2ec29264994dad2813ea2518885f01977b390afebfe82111c2"],"state_sha256":"946cd55260313a110dc88b223e4fd90028d21d9e38c343af967b4a460ebf2f51"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yNr2+Bi8htM2iD5eHXvL/rvW+lmzvW7yOex2yKCJSHaUDgH3eORr7aRTv3fVgUJdkOVlBqhdGZ8N0KOJbyoLBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T00:31:19.024247Z","bundle_sha256":"8f8090ea18a6e70dbc3c570a7e90efe4b5cf3370c30808e96077f80203f8bdc1"}}