{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:LJ7X5ATFIY7VSGW6PSLUNDZIBH","short_pith_number":"pith:LJ7X5ATF","canonical_record":{"source":{"id":"1207.6551","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-07-27T14:16:36Z","cross_cats_sorted":[],"title_canon_sha256":"f852d4d46fe65e5993484534e042914b138cc5e3ffdab3b48f1d590e41fba3bd","abstract_canon_sha256":"a8eaa40766b27c37d8338fe03c6fa9aa839dd29ea608880475c6208e2aa344e5"},"schema_version":"1.0"},"canonical_sha256":"5a7f7e8265463f591ade7c97468f2809e3bc106e400224d24627a21553743845","source":{"kind":"arxiv","id":"1207.6551","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.6551","created_at":"2026-05-18T03:33:48Z"},{"alias_kind":"arxiv_version","alias_value":"1207.6551v2","created_at":"2026-05-18T03:33:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.6551","created_at":"2026-05-18T03:33:48Z"},{"alias_kind":"pith_short_12","alias_value":"LJ7X5ATFIY7V","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LJ7X5ATFIY7VSGW6","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LJ7X5ATF","created_at":"2026-05-18T12:27:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:LJ7X5ATFIY7VSGW6PSLUNDZIBH","target":"record","payload":{"canonical_record":{"source":{"id":"1207.6551","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-07-27T14:16:36Z","cross_cats_sorted":[],"title_canon_sha256":"f852d4d46fe65e5993484534e042914b138cc5e3ffdab3b48f1d590e41fba3bd","abstract_canon_sha256":"a8eaa40766b27c37d8338fe03c6fa9aa839dd29ea608880475c6208e2aa344e5"},"schema_version":"1.0"},"canonical_sha256":"5a7f7e8265463f591ade7c97468f2809e3bc106e400224d24627a21553743845","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:33:48.046564Z","signature_b64":"QLfn0+mVEpZhhhMq3AXLXEu7lnETrm9bTjRAUS9h+e7JBGhGoROLBJjtuHldZiW1LUMLgUB+WGutKn/YFcjICg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5a7f7e8265463f591ade7c97468f2809e3bc106e400224d24627a21553743845","last_reissued_at":"2026-05-18T03:33:48.046143Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:33:48.046143Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1207.6551","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":"2026-05-18T03:33:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aiTIFZk9IgvduAWRlj2fnUpdwUsQQPPtga/FEwhyEJNfm7Wh50Zti6pddZVVl+JI0Bri6YSWnHeieNUp/t9yDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T07:49:21.923663Z"},"content_sha256":"ddc0459865c0c0c8aca93367e5a143b61b0de66650a3f46ad6b1df2003b163df","schema_version":"1.0","event_id":"sha256:ddc0459865c0c0c8aca93367e5a143b61b0de66650a3f46ad6b1df2003b163df"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:LJ7X5ATFIY7VSGW6PSLUNDZIBH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The exact solution of generalized Dicke models via Susskind-Glogower operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"B. M. Rodr\\'iguez-Lara, H. M. Moya-Cessa","submitted_at":"2012-07-27T14:16:36Z","abstract_excerpt":"We show a right unitary transformation approach based on Susskind-Glogower operators that diagonalizes a generalized Dicke Hamiltonian in the field basis and delivers a tridiagonal Hamiltonian in the Dicke basis. This tridiagonal Hamiltonian is diagonalized by a set of orthogonal polynomials satisfying a three-term recurrence relation. Our result is used to deliver a closed form, analytic time evolution for the case of a Jaynes-Cummings-Kerr model and to study the time evolution of the population inversion, reduced field entropy, and Husimi's Q-function of the field for ensembles of interactin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.6551","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":"2026-05-18T03:33:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vmU7jhRqXSFTNHNyuhk8NQj+lXZEfaZQ7ctN2ypxEx7rZN0/56RoK0C6LPOjd9TEARYIyEYkYne/R+mYeXttBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T07:49:21.924006Z"},"content_sha256":"d5ecc9ee79f6ea6707ebcaabe8add616680424ca7f60d9f301642b91f9ece9ba","schema_version":"1.0","event_id":"sha256:d5ecc9ee79f6ea6707ebcaabe8add616680424ca7f60d9f301642b91f9ece9ba"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LJ7X5ATFIY7VSGW6PSLUNDZIBH/bundle.json","state_url":"https://pith.science/pith/LJ7X5ATFIY7VSGW6PSLUNDZIBH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LJ7X5ATFIY7VSGW6PSLUNDZIBH/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":"2026-06-24T07:49:21Z","links":{"resolver":"https://pith.science/pith/LJ7X5ATFIY7VSGW6PSLUNDZIBH","bundle":"https://pith.science/pith/LJ7X5ATFIY7VSGW6PSLUNDZIBH/bundle.json","state":"https://pith.science/pith/LJ7X5ATFIY7VSGW6PSLUNDZIBH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LJ7X5ATFIY7VSGW6PSLUNDZIBH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:LJ7X5ATFIY7VSGW6PSLUNDZIBH","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":"a8eaa40766b27c37d8338fe03c6fa9aa839dd29ea608880475c6208e2aa344e5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-07-27T14:16:36Z","title_canon_sha256":"f852d4d46fe65e5993484534e042914b138cc5e3ffdab3b48f1d590e41fba3bd"},"schema_version":"1.0","source":{"id":"1207.6551","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.6551","created_at":"2026-05-18T03:33:48Z"},{"alias_kind":"arxiv_version","alias_value":"1207.6551v2","created_at":"2026-05-18T03:33:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.6551","created_at":"2026-05-18T03:33:48Z"},{"alias_kind":"pith_short_12","alias_value":"LJ7X5ATFIY7V","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LJ7X5ATFIY7VSGW6","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LJ7X5ATF","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:d5ecc9ee79f6ea6707ebcaabe8add616680424ca7f60d9f301642b91f9ece9ba","target":"graph","created_at":"2026-05-18T03:33:48Z","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 show a right unitary transformation approach based on Susskind-Glogower operators that diagonalizes a generalized Dicke Hamiltonian in the field basis and delivers a tridiagonal Hamiltonian in the Dicke basis. This tridiagonal Hamiltonian is diagonalized by a set of orthogonal polynomials satisfying a three-term recurrence relation. Our result is used to deliver a closed form, analytic time evolution for the case of a Jaynes-Cummings-Kerr model and to study the time evolution of the population inversion, reduced field entropy, and Husimi's Q-function of the field for ensembles of interactin","authors_text":"B. M. Rodr\\'iguez-Lara, H. M. Moya-Cessa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-07-27T14:16:36Z","title":"The exact solution of generalized Dicke models via Susskind-Glogower operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.6551","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:ddc0459865c0c0c8aca93367e5a143b61b0de66650a3f46ad6b1df2003b163df","target":"record","created_at":"2026-05-18T03:33:48Z","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":"a8eaa40766b27c37d8338fe03c6fa9aa839dd29ea608880475c6208e2aa344e5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-07-27T14:16:36Z","title_canon_sha256":"f852d4d46fe65e5993484534e042914b138cc5e3ffdab3b48f1d590e41fba3bd"},"schema_version":"1.0","source":{"id":"1207.6551","kind":"arxiv","version":2}},"canonical_sha256":"5a7f7e8265463f591ade7c97468f2809e3bc106e400224d24627a21553743845","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5a7f7e8265463f591ade7c97468f2809e3bc106e400224d24627a21553743845","first_computed_at":"2026-05-18T03:33:48.046143Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:33:48.046143Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QLfn0+mVEpZhhhMq3AXLXEu7lnETrm9bTjRAUS9h+e7JBGhGoROLBJjtuHldZiW1LUMLgUB+WGutKn/YFcjICg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:33:48.046564Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.6551","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ddc0459865c0c0c8aca93367e5a143b61b0de66650a3f46ad6b1df2003b163df","sha256:d5ecc9ee79f6ea6707ebcaabe8add616680424ca7f60d9f301642b91f9ece9ba"],"state_sha256":"70d2a59e4eb27be89ff1edbc22b89abab72da46c59b7364fc17fbbc662ff314d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"96UZ31I7KCwtXaRVxyhN7AU4hXBaJjCvl+b++S5ACmMveeRLhnoue2oo1VAxVRa7/nQGJlvihQGPsTEB8N92CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T07:49:21.926002Z","bundle_sha256":"a480535862ec5011cb81689438770e32b81406d17b2f625719a63f37ab1cef80"}}