{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:MVBWKXJ4SN5M4MDFKX52ZZSSP6","short_pith_number":"pith:MVBWKXJ4","canonical_record":{"source":{"id":"1205.3139","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-05-14T19:03:17Z","cross_cats_sorted":["cond-mat.mes-hall","math-ph","math.MP"],"title_canon_sha256":"ab81d77fa5da343d69aabd1f2efba3f4d282e7a5aaee5c7544ed349793573200","abstract_canon_sha256":"6b6b2af1a2ad9356b558cf5877ffe50432db37075bf95779aea2ec71f96799ac"},"schema_version":"1.0"},"canonical_sha256":"6543655d3c937ace306555fbace6527fa30174ae144b065dddbcf5138205577b","source":{"kind":"arxiv","id":"1205.3139","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.3139","created_at":"2026-05-18T03:55:24Z"},{"alias_kind":"arxiv_version","alias_value":"1205.3139v2","created_at":"2026-05-18T03:55:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.3139","created_at":"2026-05-18T03:55:24Z"},{"alias_kind":"pith_short_12","alias_value":"MVBWKXJ4SN5M","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"MVBWKXJ4SN5M4MDF","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"MVBWKXJ4","created_at":"2026-05-18T12:27:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:MVBWKXJ4SN5M4MDFKX52ZZSSP6","target":"record","payload":{"canonical_record":{"source":{"id":"1205.3139","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-05-14T19:03:17Z","cross_cats_sorted":["cond-mat.mes-hall","math-ph","math.MP"],"title_canon_sha256":"ab81d77fa5da343d69aabd1f2efba3f4d282e7a5aaee5c7544ed349793573200","abstract_canon_sha256":"6b6b2af1a2ad9356b558cf5877ffe50432db37075bf95779aea2ec71f96799ac"},"schema_version":"1.0"},"canonical_sha256":"6543655d3c937ace306555fbace6527fa30174ae144b065dddbcf5138205577b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:55:24.474956Z","signature_b64":"eHElkBBMwWWr/WmJvfqa61bTfF1+m3tj24dlX7jDb10pN3mKp//M4S3KNY2+G/mkFX1VF+SurlGKHesN2w0+Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6543655d3c937ace306555fbace6527fa30174ae144b065dddbcf5138205577b","last_reissued_at":"2026-05-18T03:55:24.474348Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:55:24.474348Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1205.3139","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":"2026-05-18T03:55:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rhBjY84g2yZap4DnrnDWM7M6k0JH3e9qHtQQzByuTvFxWKfBLgJCRPhtQzqfUDuxgMI42YoXBB2LKAR7F7FXBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T01:35:27.599674Z"},"content_sha256":"f638ee65f2df92a098097f2803732af0f56379f24de00f69ac3fac8f270d0388","schema_version":"1.0","event_id":"sha256:f638ee65f2df92a098097f2803732af0f56379f24de00f69ac3fac8f270d0388"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:MVBWKXJ4SN5M4MDFKX52ZZSSP6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Comment on \"Integrability of the Rabi model\"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Alexander Moroz","submitted_at":"2012-05-14T19:03:17Z","abstract_excerpt":"In his recent letter, Braak suggested that a regular spectrum of the Rabi model was given by the zeros of a transcendental function $G_\\pm(x)$ (cf Eqs. (3)-(5) of Ref. [1]) and highlighted the role of the discrete $\\mathbb{Z}_2$-symmetry, or parity, in determining $G_\\pm(x)$. We show here to the contrary that one can define a transcendental function $F_0(x)$ and obtain the regular spectrum of the Rabi model as the zeros of $F_0(x)$ (see Fig. 1) without ever making use of the underlying $\\mathbb{Z}_2$-symmetry of the model."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.3139","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":"2026-05-18T03:55:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m1lZPwfxC1KRMhuv/2aNG+Bb/DErUTRhcISh13ewmnM8N5h0YFPPBvr6HPQFHgJS8phIIOzI1o7LEgphmGBsDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T01:35:27.600439Z"},"content_sha256":"701bc1ce589da32d3f32ad5bd90a1f21424833675d958e07276c0ff28c1a0e7c","schema_version":"1.0","event_id":"sha256:701bc1ce589da32d3f32ad5bd90a1f21424833675d958e07276c0ff28c1a0e7c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MVBWKXJ4SN5M4MDFKX52ZZSSP6/bundle.json","state_url":"https://pith.science/pith/MVBWKXJ4SN5M4MDFKX52ZZSSP6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MVBWKXJ4SN5M4MDFKX52ZZSSP6/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":"2026-06-07T01:35:27Z","links":{"resolver":"https://pith.science/pith/MVBWKXJ4SN5M4MDFKX52ZZSSP6","bundle":"https://pith.science/pith/MVBWKXJ4SN5M4MDFKX52ZZSSP6/bundle.json","state":"https://pith.science/pith/MVBWKXJ4SN5M4MDFKX52ZZSSP6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MVBWKXJ4SN5M4MDFKX52ZZSSP6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:MVBWKXJ4SN5M4MDFKX52ZZSSP6","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":"6b6b2af1a2ad9356b558cf5877ffe50432db37075bf95779aea2ec71f96799ac","cross_cats_sorted":["cond-mat.mes-hall","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-05-14T19:03:17Z","title_canon_sha256":"ab81d77fa5da343d69aabd1f2efba3f4d282e7a5aaee5c7544ed349793573200"},"schema_version":"1.0","source":{"id":"1205.3139","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.3139","created_at":"2026-05-18T03:55:24Z"},{"alias_kind":"arxiv_version","alias_value":"1205.3139v2","created_at":"2026-05-18T03:55:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.3139","created_at":"2026-05-18T03:55:24Z"},{"alias_kind":"pith_short_12","alias_value":"MVBWKXJ4SN5M","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"MVBWKXJ4SN5M4MDF","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"MVBWKXJ4","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:701bc1ce589da32d3f32ad5bd90a1f21424833675d958e07276c0ff28c1a0e7c","target":"graph","created_at":"2026-05-18T03:55:24Z","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":"In his recent letter, Braak suggested that a regular spectrum of the Rabi model was given by the zeros of a transcendental function $G_\\pm(x)$ (cf Eqs. (3)-(5) of Ref. [1]) and highlighted the role of the discrete $\\mathbb{Z}_2$-symmetry, or parity, in determining $G_\\pm(x)$. We show here to the contrary that one can define a transcendental function $F_0(x)$ and obtain the regular spectrum of the Rabi model as the zeros of $F_0(x)$ (see Fig. 1) without ever making use of the underlying $\\mathbb{Z}_2$-symmetry of the model.","authors_text":"Alexander Moroz","cross_cats":["cond-mat.mes-hall","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-05-14T19:03:17Z","title":"Comment on \"Integrability of the Rabi model\""},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.3139","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:f638ee65f2df92a098097f2803732af0f56379f24de00f69ac3fac8f270d0388","target":"record","created_at":"2026-05-18T03:55:24Z","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":"6b6b2af1a2ad9356b558cf5877ffe50432db37075bf95779aea2ec71f96799ac","cross_cats_sorted":["cond-mat.mes-hall","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-05-14T19:03:17Z","title_canon_sha256":"ab81d77fa5da343d69aabd1f2efba3f4d282e7a5aaee5c7544ed349793573200"},"schema_version":"1.0","source":{"id":"1205.3139","kind":"arxiv","version":2}},"canonical_sha256":"6543655d3c937ace306555fbace6527fa30174ae144b065dddbcf5138205577b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6543655d3c937ace306555fbace6527fa30174ae144b065dddbcf5138205577b","first_computed_at":"2026-05-18T03:55:24.474348Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:55:24.474348Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eHElkBBMwWWr/WmJvfqa61bTfF1+m3tj24dlX7jDb10pN3mKp//M4S3KNY2+G/mkFX1VF+SurlGKHesN2w0+Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:55:24.474956Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.3139","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f638ee65f2df92a098097f2803732af0f56379f24de00f69ac3fac8f270d0388","sha256:701bc1ce589da32d3f32ad5bd90a1f21424833675d958e07276c0ff28c1a0e7c"],"state_sha256":"6b588cb7b86afd0798c4cde54af81b1134e2a40308ca6b816406765b3464a4b6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s1izLdrzEyPwhSUyHOJa1rWqBJYMVPZI+iylKkvOFK/76AV7CXzGJOzzXddsLFG77MudLCCkVmRqNJy5zDUZAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T01:35:27.604572Z","bundle_sha256":"b720b2b7fe80f050beee73d6eeaeabd122f864523f99c23a7f770b03e302bbee"}}