{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:7FYGK2FKHRRINRWPTQRDRAMSXW","short_pith_number":"pith:7FYGK2FK","schema_version":"1.0","canonical_sha256":"f9706568aa3c6286c6cf9c22388192bd93e4531393e28688f2c96ce38f9f0da0","source":{"kind":"arxiv","id":"1803.08659","version":3},"attestation_state":"computed","paper":{"title":"On the semigroup generated by the renormalized Nelson Hamiltonian","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Tadahiro Miyao","submitted_at":"2018-03-23T05:43:14Z","abstract_excerpt":"Let us consider the renormalized Nelson model at a fixed total momentum $P$: $H_{\\mathrm{ren}}(P)$; The Hamiltonian $H_{\\mathrm{ren}}(P)$ is defined through an infinite energy renormalization. We prove that $e^{-\\beta H_{\\mathrm{ren}}(P)}$ is positivity improving for all $P\\in \\mathbb{R}^3$ and $\\beta >0$ in the Fock representation."},"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":"1803.08659","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-03-23T05:43:14Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"6488750451867ab10d091bf2aa55bcd2f8faab24c9b9386d5ee2a3f17bfb4db4","abstract_canon_sha256":"8166aed14485c328b8457cedfba86a8fbe9c485d20e36094329ccc0aa7421a06"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:01.438458Z","signature_b64":"Zi5YK2hI9+Q2Vz1JuxRUilpgpsNEqokAPec47hs0TdX93yHgHVTUsGNiEucMAyfxIgmNe5hw2KD2BFktmwekCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f9706568aa3c6286c6cf9c22388192bd93e4531393e28688f2c96ce38f9f0da0","last_reissued_at":"2026-05-18T00:02:01.437626Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:01.437626Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the semigroup generated by the renormalized Nelson Hamiltonian","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Tadahiro Miyao","submitted_at":"2018-03-23T05:43:14Z","abstract_excerpt":"Let us consider the renormalized Nelson model at a fixed total momentum $P$: $H_{\\mathrm{ren}}(P)$; The Hamiltonian $H_{\\mathrm{ren}}(P)$ is defined through an infinite energy renormalization. We prove that $e^{-\\beta H_{\\mathrm{ren}}(P)}$ is positivity improving for all $P\\in \\mathbb{R}^3$ and $\\beta >0$ in the Fock representation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.08659","kind":"arxiv","version":3},"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":"1803.08659","created_at":"2026-05-18T00:02:01.437763+00:00"},{"alias_kind":"arxiv_version","alias_value":"1803.08659v3","created_at":"2026-05-18T00:02:01.437763+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.08659","created_at":"2026-05-18T00:02:01.437763+00:00"},{"alias_kind":"pith_short_12","alias_value":"7FYGK2FKHRRI","created_at":"2026-05-18T12:32:11.075285+00:00"},{"alias_kind":"pith_short_16","alias_value":"7FYGK2FKHRRINRWP","created_at":"2026-05-18T12:32:11.075285+00:00"},{"alias_kind":"pith_short_8","alias_value":"7FYGK2FK","created_at":"2026-05-18T12:32:11.075285+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/7FYGK2FKHRRINRWPTQRDRAMSXW","json":"https://pith.science/pith/7FYGK2FKHRRINRWPTQRDRAMSXW.json","graph_json":"https://pith.science/api/pith-number/7FYGK2FKHRRINRWPTQRDRAMSXW/graph.json","events_json":"https://pith.science/api/pith-number/7FYGK2FKHRRINRWPTQRDRAMSXW/events.json","paper":"https://pith.science/paper/7FYGK2FK"},"agent_actions":{"view_html":"https://pith.science/pith/7FYGK2FKHRRINRWPTQRDRAMSXW","download_json":"https://pith.science/pith/7FYGK2FKHRRINRWPTQRDRAMSXW.json","view_paper":"https://pith.science/paper/7FYGK2FK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1803.08659&json=true","fetch_graph":"https://pith.science/api/pith-number/7FYGK2FKHRRINRWPTQRDRAMSXW/graph.json","fetch_events":"https://pith.science/api/pith-number/7FYGK2FKHRRINRWPTQRDRAMSXW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7FYGK2FKHRRINRWPTQRDRAMSXW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7FYGK2FKHRRINRWPTQRDRAMSXW/action/storage_attestation","attest_author":"https://pith.science/pith/7FYGK2FKHRRINRWPTQRDRAMSXW/action/author_attestation","sign_citation":"https://pith.science/pith/7FYGK2FKHRRINRWPTQRDRAMSXW/action/citation_signature","submit_replication":"https://pith.science/pith/7FYGK2FKHRRINRWPTQRDRAMSXW/action/replication_record"}},"created_at":"2026-05-18T00:02:01.437763+00:00","updated_at":"2026-05-18T00:02:01.437763+00:00"}