{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:ZFDBBNVR33O37WLXIIMEA4LYAX","short_pith_number":"pith:ZFDBBNVR","canonical_record":{"source":{"id":"1407.7446","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-07-28T15:32:03Z","cross_cats_sorted":[],"title_canon_sha256":"9a3e2dce09946d3e0d60f82742c9e76c5f4ab3ad2e195f392f0b550a5f219bbf","abstract_canon_sha256":"10e5cac63cdc06366c35a87239ea0dfb485011b5c1cc5c124a092badfec3f95c"},"schema_version":"1.0"},"canonical_sha256":"c94610b6b1deddbfd977421840717805ee5f652c91ec8d52842678a37926cb55","source":{"kind":"arxiv","id":"1407.7446","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.7446","created_at":"2026-05-18T01:37:29Z"},{"alias_kind":"arxiv_version","alias_value":"1407.7446v3","created_at":"2026-05-18T01:37:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.7446","created_at":"2026-05-18T01:37:29Z"},{"alias_kind":"pith_short_12","alias_value":"ZFDBBNVR33O3","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZFDBBNVR33O37WLX","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZFDBBNVR","created_at":"2026-05-18T12:28:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:ZFDBBNVR33O37WLXIIMEA4LYAX","target":"record","payload":{"canonical_record":{"source":{"id":"1407.7446","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-07-28T15:32:03Z","cross_cats_sorted":[],"title_canon_sha256":"9a3e2dce09946d3e0d60f82742c9e76c5f4ab3ad2e195f392f0b550a5f219bbf","abstract_canon_sha256":"10e5cac63cdc06366c35a87239ea0dfb485011b5c1cc5c124a092badfec3f95c"},"schema_version":"1.0"},"canonical_sha256":"c94610b6b1deddbfd977421840717805ee5f652c91ec8d52842678a37926cb55","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:37:29.983409Z","signature_b64":"DlfT6kC/QYgS/zojTXuOSHYG/IR5Ys8mrA8pg3W2of7hLnarMx+k0R3m7DQ3WoEqdUOMqAAmkP4r+QCjVuUVBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c94610b6b1deddbfd977421840717805ee5f652c91ec8d52842678a37926cb55","last_reissued_at":"2026-05-18T01:37:29.982738Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:37:29.982738Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.7446","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:37:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ry+y3TuLDu2m0NppnNg9+nUznsjsGTg9HgkVUlQoeMOOSKZgCGe3OjRyODxsWX+xOiQocJQyg61HfBGOSnogCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T12:11:46.708383Z"},"content_sha256":"7e863c4f9ca6a506ac4ba42ee31c8df3ffa21c48308e62c5fb712dcf73f1ddde","schema_version":"1.0","event_id":"sha256:7e863c4f9ca6a506ac4ba42ee31c8df3ffa21c48308e62c5fb712dcf73f1ddde"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:ZFDBBNVR33O37WLXIIMEA4LYAX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Signatures of the $A^2$ term in ultrastrongly-coupled oscillators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"K. R. McEnery, M. S. Kim, S. A. Maier, Tommaso Tufarelli","submitted_at":"2014-07-28T15:32:03Z","abstract_excerpt":"We study a bosonic matter excitation coupled to a single-mode cavity field via electric dipole. Counter-rotating and $A^2$ terms are included in the interaction model, ${\\mathbf A}$ being the vector potential of the cavity field. In the ultrastrong coupling regime the vacuum of the bare modes is no longer the ground state of the Hamiltonian and contains a nonzero population of polaritons, the true normal modes of the system. If the parameters of the model satisfy the Thomas-Reiche-Kuhn sum rule, we find that the two polaritons are always equally populated. We show how this prediction could be "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.7446","kind":"arxiv","version":3},"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":"2026-05-18T01:37:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"baoTdcYks8UDq+FDSUdlLeFGseXhJqG5W453FYBDrVuRLKX1p4+5fj7QAuCIiUX3pDByZ6mczn/IEQUBFdA2BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T12:11:46.708960Z"},"content_sha256":"ec26aa5453d8165735c6b54428d7cc42995ca7610c75f0cb35aaca16d35bba6b","schema_version":"1.0","event_id":"sha256:ec26aa5453d8165735c6b54428d7cc42995ca7610c75f0cb35aaca16d35bba6b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZFDBBNVR33O37WLXIIMEA4LYAX/bundle.json","state_url":"https://pith.science/pith/ZFDBBNVR33O37WLXIIMEA4LYAX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZFDBBNVR33O37WLXIIMEA4LYAX/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":"2026-05-23T12:11:46Z","links":{"resolver":"https://pith.science/pith/ZFDBBNVR33O37WLXIIMEA4LYAX","bundle":"https://pith.science/pith/ZFDBBNVR33O37WLXIIMEA4LYAX/bundle.json","state":"https://pith.science/pith/ZFDBBNVR33O37WLXIIMEA4LYAX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZFDBBNVR33O37WLXIIMEA4LYAX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ZFDBBNVR33O37WLXIIMEA4LYAX","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":"10e5cac63cdc06366c35a87239ea0dfb485011b5c1cc5c124a092badfec3f95c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-07-28T15:32:03Z","title_canon_sha256":"9a3e2dce09946d3e0d60f82742c9e76c5f4ab3ad2e195f392f0b550a5f219bbf"},"schema_version":"1.0","source":{"id":"1407.7446","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.7446","created_at":"2026-05-18T01:37:29Z"},{"alias_kind":"arxiv_version","alias_value":"1407.7446v3","created_at":"2026-05-18T01:37:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.7446","created_at":"2026-05-18T01:37:29Z"},{"alias_kind":"pith_short_12","alias_value":"ZFDBBNVR33O3","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZFDBBNVR33O37WLX","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZFDBBNVR","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:ec26aa5453d8165735c6b54428d7cc42995ca7610c75f0cb35aaca16d35bba6b","target":"graph","created_at":"2026-05-18T01:37:29Z","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 study a bosonic matter excitation coupled to a single-mode cavity field via electric dipole. Counter-rotating and $A^2$ terms are included in the interaction model, ${\\mathbf A}$ being the vector potential of the cavity field. In the ultrastrong coupling regime the vacuum of the bare modes is no longer the ground state of the Hamiltonian and contains a nonzero population of polaritons, the true normal modes of the system. If the parameters of the model satisfy the Thomas-Reiche-Kuhn sum rule, we find that the two polaritons are always equally populated. We show how this prediction could be ","authors_text":"K. R. McEnery, M. S. Kim, S. A. Maier, Tommaso Tufarelli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-07-28T15:32:03Z","title":"Signatures of the $A^2$ term in ultrastrongly-coupled oscillators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.7446","kind":"arxiv","version":3},"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":"sha256:7e863c4f9ca6a506ac4ba42ee31c8df3ffa21c48308e62c5fb712dcf73f1ddde","target":"record","created_at":"2026-05-18T01:37:29Z","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":"10e5cac63cdc06366c35a87239ea0dfb485011b5c1cc5c124a092badfec3f95c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-07-28T15:32:03Z","title_canon_sha256":"9a3e2dce09946d3e0d60f82742c9e76c5f4ab3ad2e195f392f0b550a5f219bbf"},"schema_version":"1.0","source":{"id":"1407.7446","kind":"arxiv","version":3}},"canonical_sha256":"c94610b6b1deddbfd977421840717805ee5f652c91ec8d52842678a37926cb55","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c94610b6b1deddbfd977421840717805ee5f652c91ec8d52842678a37926cb55","first_computed_at":"2026-05-18T01:37:29.982738Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:29.982738Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DlfT6kC/QYgS/zojTXuOSHYG/IR5Ys8mrA8pg3W2of7hLnarMx+k0R3m7DQ3WoEqdUOMqAAmkP4r+QCjVuUVBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:29.983409Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.7446","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7e863c4f9ca6a506ac4ba42ee31c8df3ffa21c48308e62c5fb712dcf73f1ddde","sha256:ec26aa5453d8165735c6b54428d7cc42995ca7610c75f0cb35aaca16d35bba6b"],"state_sha256":"1ee575b859f4cbdfbcd2cedc26d1304aef7a26c33444951ce7235964904fda20"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s7YeScHrAtctjMxYVkiP0wkuxGaw2X8ilsACOrV0hMZd4Qawqp2hp34H3j8UsDGbVCS3/Mba76/Hz2dz01ioBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-23T12:11:46.712708Z","bundle_sha256":"b8bbc1fddb307fd298b957d7d551976a9d94cd486653ff433bbad083ba545858"}}