{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:ZOTKRTEPNGFL6QMNF3Q42EMSDP","short_pith_number":"pith:ZOTKRTEP","schema_version":"1.0","canonical_sha256":"cba6a8cc8f698abf418d2ee1cd11921bf51d6fe153bd840e83fa98bb05a0d122","source":{"kind":"arxiv","id":"1401.5708","version":2},"attestation_state":"computed","paper":{"title":"Quantum Electrodynamics of Atomic Resonances","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Baptiste Schubnel, J\\'er\\'emy Faupin, J\\\"urg Fr\\\"ohlich, Miguel Ballesteros","submitted_at":"2014-01-22T15:51:16Z","abstract_excerpt":"A simple model of an atom interacting with the quantized electromagnetic field is studied. The atom has a finite mass $m$, finitely many excited states and an electric dipole moment, $\\vec{d}_0 = -\\lambda_{0} \\vec{d}$, where $\\| d^{i}\\| = 1,$ $ i=1,2,3,$ and $\\lambda_0$ is proportional to the elementary electric charge. The interaction of the atom with the radiation field is described with the help of the Ritz Hamiltonian, $-\\vec{d}_0\\cdot \\vec{E}$, where $\\vec{E}$ is the electric field, cut off at large frequencies. A mathematical study of the Lamb shift, the decay channels and the life times"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1401.5708","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-01-22T15:51:16Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"59a8a22e7f2d13cb438dcb59e64944e738a093f0b02eeb07156cd08f16808308","abstract_canon_sha256":"4ccc612f2d6e399b53b53f59273d05307c0db9a658ba87652a802a6c5f4477a6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:04:11.576922Z","signature_b64":"R0Ze+HI8Zc0tSiguc0wMAUv5eNgcOKefMhH+mA3ZQ0V0VmRBvHxRXvxjQH0oBJaWU5fu/s9wZ8Hnuv20YC7pCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cba6a8cc8f698abf418d2ee1cd11921bf51d6fe153bd840e83fa98bb05a0d122","last_reissued_at":"2026-05-18T02:04:11.576259Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:04:11.576259Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum Electrodynamics of Atomic Resonances","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Baptiste Schubnel, J\\'er\\'emy Faupin, J\\\"urg Fr\\\"ohlich, Miguel Ballesteros","submitted_at":"2014-01-22T15:51:16Z","abstract_excerpt":"A simple model of an atom interacting with the quantized electromagnetic field is studied. The atom has a finite mass $m$, finitely many excited states and an electric dipole moment, $\\vec{d}_0 = -\\lambda_{0} \\vec{d}$, where $\\| d^{i}\\| = 1,$ $ i=1,2,3,$ and $\\lambda_0$ is proportional to the elementary electric charge. The interaction of the atom with the radiation field is described with the help of the Ritz Hamiltonian, $-\\vec{d}_0\\cdot \\vec{E}$, where $\\vec{E}$ is the electric field, cut off at large frequencies. A mathematical study of the Lamb shift, the decay channels and the life times"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.5708","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1401.5708","created_at":"2026-05-18T02:04:11.576385+00:00"},{"alias_kind":"arxiv_version","alias_value":"1401.5708v2","created_at":"2026-05-18T02:04:11.576385+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.5708","created_at":"2026-05-18T02:04:11.576385+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZOTKRTEPNGFL","created_at":"2026-05-18T12:28:59.999130+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZOTKRTEPNGFL6QMN","created_at":"2026-05-18T12:28:59.999130+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZOTKRTEP","created_at":"2026-05-18T12:28:59.999130+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ZOTKRTEPNGFL6QMNF3Q42EMSDP","json":"https://pith.science/pith/ZOTKRTEPNGFL6QMNF3Q42EMSDP.json","graph_json":"https://pith.science/api/pith-number/ZOTKRTEPNGFL6QMNF3Q42EMSDP/graph.json","events_json":"https://pith.science/api/pith-number/ZOTKRTEPNGFL6QMNF3Q42EMSDP/events.json","paper":"https://pith.science/paper/ZOTKRTEP"},"agent_actions":{"view_html":"https://pith.science/pith/ZOTKRTEPNGFL6QMNF3Q42EMSDP","download_json":"https://pith.science/pith/ZOTKRTEPNGFL6QMNF3Q42EMSDP.json","view_paper":"https://pith.science/paper/ZOTKRTEP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1401.5708&json=true","fetch_graph":"https://pith.science/api/pith-number/ZOTKRTEPNGFL6QMNF3Q42EMSDP/graph.json","fetch_events":"https://pith.science/api/pith-number/ZOTKRTEPNGFL6QMNF3Q42EMSDP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZOTKRTEPNGFL6QMNF3Q42EMSDP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZOTKRTEPNGFL6QMNF3Q42EMSDP/action/storage_attestation","attest_author":"https://pith.science/pith/ZOTKRTEPNGFL6QMNF3Q42EMSDP/action/author_attestation","sign_citation":"https://pith.science/pith/ZOTKRTEPNGFL6QMNF3Q42EMSDP/action/citation_signature","submit_replication":"https://pith.science/pith/ZOTKRTEPNGFL6QMNF3Q42EMSDP/action/replication_record"}},"created_at":"2026-05-18T02:04:11.576385+00:00","updated_at":"2026-05-18T02:04:11.576385+00:00"}