{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:BKTHS7NXNXBS4NYICYALSRGUV7","short_pith_number":"pith:BKTHS7NX","schema_version":"1.0","canonical_sha256":"0aa6797db76dc32e37081600b944d4afe0a9ee18d5b895c9d9c3978e6417142f","source":{"kind":"arxiv","id":"2004.06494","version":1},"attestation_state":"computed","paper":{"title":"On the Ultraviolet Limit of the Pauli-Fierz Hamiltonian in the Lieb-Loss Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Alexander Hach, Volker Bach","submitted_at":"2020-04-14T13:39:09Z","abstract_excerpt":"Two decades ago, Lieb and Loss proposed to approximate the ground state energy of a free, nonrelativistic electron coupled to the quantized radiation field by the infimum $E_{\\alpha, \\Lambda}$ of all expectation values $\\langle \\phi_{el} \\otimes \\psi_{ph} | H_{\\alpha, \\Lambda} (\\phi_{el} \\otimes \\psi_{ph}) \\rangle$, where $H_{\\alpha, \\Lambda}$ is the corresponding Hamiltonian with fine structure constant $\\alpha >0$ and ultraviolet cutoff $\\Lambda < \\infty$, and $\\phi_{el}$ and $\\psi_{ph}$ are normalized electron and photon wave functions, respectively. Lieb and Loss showed that $c \\alpha^{1/2"},"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":"2004.06494","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2020-04-14T13:39:09Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"f7bda4882ac046aa0b4a57fe384a23d97c320d37ddbfaceaf1d8e9390aa7997d","abstract_canon_sha256":"ecae6d02c81dfb53b18ad2745ec40bc558cbc49cc86e9b4c39018c29e8e23dee"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:54:52.487523Z","signature_b64":"F9cyN3s16O+wkKDvgfNwm2SEAFU8H0kYzIzxMPojRyN6U7DXoStTe9JmLrJRvFf7kTR5dPzTdabCQUlV3XcjCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0aa6797db76dc32e37081600b944d4afe0a9ee18d5b895c9d9c3978e6417142f","last_reissued_at":"2026-07-05T00:54:52.487170Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:54:52.487170Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Ultraviolet Limit of the Pauli-Fierz Hamiltonian in the Lieb-Loss Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Alexander Hach, Volker Bach","submitted_at":"2020-04-14T13:39:09Z","abstract_excerpt":"Two decades ago, Lieb and Loss proposed to approximate the ground state energy of a free, nonrelativistic electron coupled to the quantized radiation field by the infimum $E_{\\alpha, \\Lambda}$ of all expectation values $\\langle \\phi_{el} \\otimes \\psi_{ph} | H_{\\alpha, \\Lambda} (\\phi_{el} \\otimes \\psi_{ph}) \\rangle$, where $H_{\\alpha, \\Lambda}$ is the corresponding Hamiltonian with fine structure constant $\\alpha >0$ and ultraviolet cutoff $\\Lambda < \\infty$, and $\\phi_{el}$ and $\\psi_{ph}$ are normalized electron and photon wave functions, respectively. Lieb and Loss showed that $c \\alpha^{1/2"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2004.06494","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/2004.06494/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":"2004.06494","created_at":"2026-07-05T00:54:52.487233+00:00"},{"alias_kind":"arxiv_version","alias_value":"2004.06494v1","created_at":"2026-07-05T00:54:52.487233+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2004.06494","created_at":"2026-07-05T00:54:52.487233+00:00"},{"alias_kind":"pith_short_12","alias_value":"BKTHS7NXNXBS","created_at":"2026-07-05T00:54:52.487233+00:00"},{"alias_kind":"pith_short_16","alias_value":"BKTHS7NXNXBS4NYI","created_at":"2026-07-05T00:54:52.487233+00:00"},{"alias_kind":"pith_short_8","alias_value":"BKTHS7NX","created_at":"2026-07-05T00:54:52.487233+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2502.04876","citing_title":"Ultraviolet Renormalization of Spin Boson Models I. Normal and 2-Nilpotent Interactions","ref_index":11,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BKTHS7NXNXBS4NYICYALSRGUV7","json":"https://pith.science/pith/BKTHS7NXNXBS4NYICYALSRGUV7.json","graph_json":"https://pith.science/api/pith-number/BKTHS7NXNXBS4NYICYALSRGUV7/graph.json","events_json":"https://pith.science/api/pith-number/BKTHS7NXNXBS4NYICYALSRGUV7/events.json","paper":"https://pith.science/paper/BKTHS7NX"},"agent_actions":{"view_html":"https://pith.science/pith/BKTHS7NXNXBS4NYICYALSRGUV7","download_json":"https://pith.science/pith/BKTHS7NXNXBS4NYICYALSRGUV7.json","view_paper":"https://pith.science/paper/BKTHS7NX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2004.06494&json=true","fetch_graph":"https://pith.science/api/pith-number/BKTHS7NXNXBS4NYICYALSRGUV7/graph.json","fetch_events":"https://pith.science/api/pith-number/BKTHS7NXNXBS4NYICYALSRGUV7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BKTHS7NXNXBS4NYICYALSRGUV7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BKTHS7NXNXBS4NYICYALSRGUV7/action/storage_attestation","attest_author":"https://pith.science/pith/BKTHS7NXNXBS4NYICYALSRGUV7/action/author_attestation","sign_citation":"https://pith.science/pith/BKTHS7NXNXBS4NYICYALSRGUV7/action/citation_signature","submit_replication":"https://pith.science/pith/BKTHS7NXNXBS4NYICYALSRGUV7/action/replication_record"}},"created_at":"2026-07-05T00:54:52.487233+00:00","updated_at":"2026-07-05T00:54:52.487233+00:00"}