{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:KYTQELYQYXB2X3QUECAD6EVEVP","short_pith_number":"pith:KYTQELYQ","schema_version":"1.0","canonical_sha256":"5627022f10c5c3abee1420803f12a4abed65912e1216bc8901f582f2d64db5ae","source":{"kind":"arxiv","id":"2502.04876","version":1},"attestation_state":"computed","paper":{"title":"Ultraviolet Renormalization of Spin Boson Models I. Normal and 2-Nilpotent Interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Benjamin Hinrichs, Javier Valent\\'in Mart\\'in, Jonas Lampart","submitted_at":"2025-02-07T12:28:05Z","abstract_excerpt":"We study the ultraviolet problem for models of a finite-dimensional quantum mechanical system linearly coupled to a bosonic quantum field, such as the (many-)spin boson model or its rotating-wave approximation. If the state change of the system upon emission or absorption of a boson is either given by a normal matrix or by a 2-nilpotent one, which is the case for the previously named examples, we prove an optimal renormalization result. We complement it, by proving the norm resolvent convergence of appropriately regularized models to the renormalized one. Our method consists of a dressing tran"},"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":"2502.04876","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2025-02-07T12:28:05Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"26f7986b86fc227575f4e95752ec3e144855591ee899ee5a1033d69c84155deb","abstract_canon_sha256":"f11f7cfd4091c1e81d8f136d5227e40ec15897ea1aadbe84e9dbb73b7bdcd61c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:10:58.870556Z","signature_b64":"d1fBSvs4dgkUL3TX2sAe0zHnZQJ4BFo9UYJGIIYf0p28SPA9lIAIF6WnUj+QLM8T7yeIXOry7nOZL28FhS0bAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5627022f10c5c3abee1420803f12a4abed65912e1216bc8901f582f2d64db5ae","last_reissued_at":"2026-07-05T10:10:58.870044Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:10:58.870044Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Ultraviolet Renormalization of Spin Boson Models I. Normal and 2-Nilpotent Interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Benjamin Hinrichs, Javier Valent\\'in Mart\\'in, Jonas Lampart","submitted_at":"2025-02-07T12:28:05Z","abstract_excerpt":"We study the ultraviolet problem for models of a finite-dimensional quantum mechanical system linearly coupled to a bosonic quantum field, such as the (many-)spin boson model or its rotating-wave approximation. If the state change of the system upon emission or absorption of a boson is either given by a normal matrix or by a 2-nilpotent one, which is the case for the previously named examples, we prove an optimal renormalization result. We complement it, by proving the norm resolvent convergence of appropriately regularized models to the renormalized one. Our method consists of a dressing tran"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.04876","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2502.04876/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2502.04876","created_at":"2026-07-05T10:10:58.870110+00:00"},{"alias_kind":"arxiv_version","alias_value":"2502.04876v1","created_at":"2026-07-05T10:10:58.870110+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.04876","created_at":"2026-07-05T10:10:58.870110+00:00"},{"alias_kind":"pith_short_12","alias_value":"KYTQELYQYXB2","created_at":"2026-07-05T10:10:58.870110+00:00"},{"alias_kind":"pith_short_16","alias_value":"KYTQELYQYXB2X3QU","created_at":"2026-07-05T10:10:58.870110+00:00"},{"alias_kind":"pith_short_8","alias_value":"KYTQELYQ","created_at":"2026-07-05T10:10:58.870110+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.11725","citing_title":"A Feynman-Kac Formula for the Subcritical Ultraviolet-Renormalized Spin Boson Model","ref_index":31,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KYTQELYQYXB2X3QUECAD6EVEVP","json":"https://pith.science/pith/KYTQELYQYXB2X3QUECAD6EVEVP.json","graph_json":"https://pith.science/api/pith-number/KYTQELYQYXB2X3QUECAD6EVEVP/graph.json","events_json":"https://pith.science/api/pith-number/KYTQELYQYXB2X3QUECAD6EVEVP/events.json","paper":"https://pith.science/paper/KYTQELYQ"},"agent_actions":{"view_html":"https://pith.science/pith/KYTQELYQYXB2X3QUECAD6EVEVP","download_json":"https://pith.science/pith/KYTQELYQYXB2X3QUECAD6EVEVP.json","view_paper":"https://pith.science/paper/KYTQELYQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2502.04876&json=true","fetch_graph":"https://pith.science/api/pith-number/KYTQELYQYXB2X3QUECAD6EVEVP/graph.json","fetch_events":"https://pith.science/api/pith-number/KYTQELYQYXB2X3QUECAD6EVEVP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KYTQELYQYXB2X3QUECAD6EVEVP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KYTQELYQYXB2X3QUECAD6EVEVP/action/storage_attestation","attest_author":"https://pith.science/pith/KYTQELYQYXB2X3QUECAD6EVEVP/action/author_attestation","sign_citation":"https://pith.science/pith/KYTQELYQYXB2X3QUECAD6EVEVP/action/citation_signature","submit_replication":"https://pith.science/pith/KYTQELYQYXB2X3QUECAD6EVEVP/action/replication_record"}},"created_at":"2026-07-05T10:10:58.870110+00:00","updated_at":"2026-07-05T10:10:58.870110+00:00"}