{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:TPBCQQBKFKRF7DHYQBI555W3NP","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":"8bc1935905b285317878edf6a321260a9d9a08bffec0097f2e06469b1d62a37a","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-03-30T20:45:20Z","title_canon_sha256":"ceda95dbd0c15f84dc235c050b10fa1b5132cd199e68eeeed96b43f71b257290"},"schema_version":"1.0","source":{"id":"1003.5923","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.5923","created_at":"2026-05-18T02:08:15Z"},{"alias_kind":"arxiv_version","alias_value":"1003.5923v2","created_at":"2026-05-18T02:08:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.5923","created_at":"2026-05-18T02:08:15Z"},{"alias_kind":"pith_short_12","alias_value":"TPBCQQBKFKRF","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"TPBCQQBKFKRF7DHY","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"TPBCQQBK","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:eac90a2c86e07156ea72afa03d7bd4dd7a93b6ed92c3347f4545682748c8c1ea","target":"graph","created_at":"2026-05-18T02:08:15Z","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 prove that the Hamiltonian of the model describing a spin which is linearly coupled to a field of relativistic and massless bosons, also known as the spin-boson model, admits a ground state for small values of the coupling constant lambda. We show that the ground state energy is an analytic function of lambda and that the corresponding ground state can also be chosen to be an analytic function of lambda. No infrared regularization is imposed. Our proof is based on a modified version of the BFS operator theoretic renormalization analysis. Moreover, using a positivity argument we prove that t","authors_text":"David Hasler, Ira Herbst","cross_cats":["math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-03-30T20:45:20Z","title":"Ground States in the Spin Boson Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.5923","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":"sha256:36634d73d99a9c54c43b6301334ccb2a2a03daa81f9f3748d02892cee03ad99f","target":"record","created_at":"2026-05-18T02:08:15Z","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":"8bc1935905b285317878edf6a321260a9d9a08bffec0097f2e06469b1d62a37a","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-03-30T20:45:20Z","title_canon_sha256":"ceda95dbd0c15f84dc235c050b10fa1b5132cd199e68eeeed96b43f71b257290"},"schema_version":"1.0","source":{"id":"1003.5923","kind":"arxiv","version":2}},"canonical_sha256":"9bc228402a2aa25f8cf88051def6db6bf577e6d7f9acd2a2e181c30fd8e5d843","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9bc228402a2aa25f8cf88051def6db6bf577e6d7f9acd2a2e181c30fd8e5d843","first_computed_at":"2026-05-18T02:08:15.601794Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:08:15.601794Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rBH/wC6OTAt2Wh7x5b8HPB/EX2i791QPspObglp/yRxTXbSfNvPGAwc1JSSCsc6wX9Ng5+BE1wjBGWMiiZHsBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:08:15.602181Z","signed_message":"canonical_sha256_bytes"},"source_id":"1003.5923","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:36634d73d99a9c54c43b6301334ccb2a2a03daa81f9f3748d02892cee03ad99f","sha256:eac90a2c86e07156ea72afa03d7bd4dd7a93b6ed92c3347f4545682748c8c1ea"],"state_sha256":"33ad78dd06b481616b8cce93fa6a075567c9ef1e414f3ba1fbe7d08ed09b7868"}