{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:N2S2OHAH5RDDQOSYYYTXKFK74C","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":"1bacd4848bca4afff4921f8b699a1d4e4e5299704db895d26a04c4aa6bf2e3d8","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-02-05T14:57:37Z","title_canon_sha256":"3099dda681dc72516b29474fcb7085c4554fcd9bc79f0e447d09ee51b45257d4"},"schema_version":"1.0","source":{"id":"1402.1065","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.1065","created_at":"2026-05-18T02:59:33Z"},{"alias_kind":"arxiv_version","alias_value":"1402.1065v3","created_at":"2026-05-18T02:59:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.1065","created_at":"2026-05-18T02:59:33Z"},{"alias_kind":"pith_short_12","alias_value":"N2S2OHAH5RDD","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"N2S2OHAH5RDDQOSY","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"N2S2OHAH","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:30f02c681aebf45bbd6454bde38be00b9e3947b4462b095eb4e2e736874e085b","target":"graph","created_at":"2026-05-18T02:59:33Z","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":"HVZ type theorem for semi-relativistic Pauli-Fierz Hamiltonian, $$\\HHH=\\sqrt{(p\\otimes \\one -A)^2+M^2}+V\\otimes \\one +\\one\\otimes \\hf,\\quad M\\geq 0,$$ in quantum electrodynamics is studied. Here $H$ is a self-adjoint operator in Hilbert space $\\LR\\otimes \\fff\\cong \\int^\\oplus_{\\RR^d}\\fff {\\rm d}x$, and $A=\\int^\\oplus_{\\RR^d} A(x) {\\rm d}x$ a quantized radiation field and $\\hf$ the free field Hamiltonian defined by the second quantization of a dispersion relation $\\omega:\\RR^d\\to \\RR$. It is emphasized that massless case, $M=0$, is included. Let $E=\\inf \\sigma (\\HHH)$ be the bottom of the spect","authors_text":"Fumio Hiroshima, Takeru Hidaka","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-02-05T14:57:37Z","title":"Spectrum of the semi-relativistic Pauli-Fierz model I"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.1065","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":"sha256:6aaae2cd71eea2c92f8a957ca5efda203b2b2092e6228a316013f4847812be1c","target":"record","created_at":"2026-05-18T02:59:33Z","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":"1bacd4848bca4afff4921f8b699a1d4e4e5299704db895d26a04c4aa6bf2e3d8","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-02-05T14:57:37Z","title_canon_sha256":"3099dda681dc72516b29474fcb7085c4554fcd9bc79f0e447d09ee51b45257d4"},"schema_version":"1.0","source":{"id":"1402.1065","kind":"arxiv","version":3}},"canonical_sha256":"6ea5a71c07ec46383a58c62775155fe0b22a76fb0060297aeadcbf9e31104ee9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6ea5a71c07ec46383a58c62775155fe0b22a76fb0060297aeadcbf9e31104ee9","first_computed_at":"2026-05-18T02:59:33.700571Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:59:33.700571Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HF4iUZSRx2CoCDBXaWJ0sODFPMdSORK65FEMQHbOiamFp8d0+nBBqkhHSgp+ndeJ/iYBHipsz4mBbmq523dMCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:59:33.701345Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.1065","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6aaae2cd71eea2c92f8a957ca5efda203b2b2092e6228a316013f4847812be1c","sha256:30f02c681aebf45bbd6454bde38be00b9e3947b4462b095eb4e2e736874e085b"],"state_sha256":"e17023c8091881072547f9f0e5cd2f4bcb9067085febfa22dae55641b06627c4"}