{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:HYC6RIHZPV7KZFN4U4DIVEMKTG","short_pith_number":"pith:HYC6RIHZ","canonical_record":{"source":{"id":"1304.6662","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-04-24T16:42:06Z","cross_cats_sorted":["math.FA","math.MP","math.PR"],"title_canon_sha256":"89a0bdc545bbc5a12edda7abc51f001d5e0b5fd6559bc9c26e77222a57e5338c","abstract_canon_sha256":"7bb705c21e2fa4d785b18b4a94cfd6503d6f37b93064019e5744ecbe257c72d5"},"schema_version":"1.0"},"canonical_sha256":"3e05e8a0f97d7eac95bca7068a918a99b6a2bef787a55f8fb774b94f98423787","source":{"kind":"arxiv","id":"1304.6662","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.6662","created_at":"2026-05-18T03:11:23Z"},{"alias_kind":"arxiv_version","alias_value":"1304.6662v2","created_at":"2026-05-18T03:11:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.6662","created_at":"2026-05-18T03:11:23Z"},{"alias_kind":"pith_short_12","alias_value":"HYC6RIHZPV7K","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"HYC6RIHZPV7KZFN4","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"HYC6RIHZ","created_at":"2026-05-18T12:27:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:HYC6RIHZPV7KZFN4U4DIVEMKTG","target":"record","payload":{"canonical_record":{"source":{"id":"1304.6662","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-04-24T16:42:06Z","cross_cats_sorted":["math.FA","math.MP","math.PR"],"title_canon_sha256":"89a0bdc545bbc5a12edda7abc51f001d5e0b5fd6559bc9c26e77222a57e5338c","abstract_canon_sha256":"7bb705c21e2fa4d785b18b4a94cfd6503d6f37b93064019e5744ecbe257c72d5"},"schema_version":"1.0"},"canonical_sha256":"3e05e8a0f97d7eac95bca7068a918a99b6a2bef787a55f8fb774b94f98423787","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:11:23.868515Z","signature_b64":"xcfPrXpLkQP3ZTiQQvrPoI1406aimvxcT0SyxRI7d94J26I3ZOWCtYKI/iaD8HhFhEHpF4G7r52FQPXqKe5FAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3e05e8a0f97d7eac95bca7068a918a99b6a2bef787a55f8fb774b94f98423787","last_reissued_at":"2026-05-18T03:11:23.867788Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:11:23.867788Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1304.6662","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:11:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ISLMyuIHUIKKQ0mvXIvnDjOjmppr5+4sh+pjcJ1ufxAJ8VHVWTuXsY9X1W/gNIW9B50Pgl4O33cU841qWQ8CDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T03:51:27.792331Z"},"content_sha256":"f74b6670707fec8477dca429d76fa63b484cf736c7003d0616e6c3aa24146ccb","schema_version":"1.0","event_id":"sha256:f74b6670707fec8477dca429d76fa63b484cf736c7003d0616e6c3aa24146ccb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:HYC6RIHZPV7KZFN4U4DIVEMKTG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ultraviolet Renormalization of the Nelson Hamiltonian through Functional Integration","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA","math.MP","math.PR"],"primary_cat":"math-ph","authors_text":"F. Hiroshima, J. Lorinczi, M. Gubinelli","submitted_at":"2013-04-24T16:42:06Z","abstract_excerpt":"Starting from the N-particle Nelson Hamiltonian defined by imposing an ultraviolet cutoff, we perform ultraviolet renormalization by showing that in the zero cutoff limit a self-adjoint operator exists after a logarithmically divergent term is subtracted from the original Hamiltonian. We obtain this term as the diagonal part of a pair interaction appearing in the density of a Gibbs measure derived from the Feynman-Kac representation of the Hamiltonian. Also, we show existence of a weak coupling limit of the renormalized Hamiltonian and derive an effective Yukawa interaction potential between t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.6662","kind":"arxiv","version":2},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:11:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yW8iw9F1IERVFjvG3OpX9lXzeR8ATp6Or0y/8ktLSJvdxAfSRKY6q2fqsYKJW9aWvCqbOSAOCB09BkUQ3f8sCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T03:51:27.792698Z"},"content_sha256":"de75b21b86c7f55d1db70c91a605ebf343dc5ce9b4948ed42c604bfc4372690d","schema_version":"1.0","event_id":"sha256:de75b21b86c7f55d1db70c91a605ebf343dc5ce9b4948ed42c604bfc4372690d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HYC6RIHZPV7KZFN4U4DIVEMKTG/bundle.json","state_url":"https://pith.science/pith/HYC6RIHZPV7KZFN4U4DIVEMKTG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HYC6RIHZPV7KZFN4U4DIVEMKTG/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-27T03:51:27Z","links":{"resolver":"https://pith.science/pith/HYC6RIHZPV7KZFN4U4DIVEMKTG","bundle":"https://pith.science/pith/HYC6RIHZPV7KZFN4U4DIVEMKTG/bundle.json","state":"https://pith.science/pith/HYC6RIHZPV7KZFN4U4DIVEMKTG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HYC6RIHZPV7KZFN4U4DIVEMKTG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:HYC6RIHZPV7KZFN4U4DIVEMKTG","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":"7bb705c21e2fa4d785b18b4a94cfd6503d6f37b93064019e5744ecbe257c72d5","cross_cats_sorted":["math.FA","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-04-24T16:42:06Z","title_canon_sha256":"89a0bdc545bbc5a12edda7abc51f001d5e0b5fd6559bc9c26e77222a57e5338c"},"schema_version":"1.0","source":{"id":"1304.6662","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.6662","created_at":"2026-05-18T03:11:23Z"},{"alias_kind":"arxiv_version","alias_value":"1304.6662v2","created_at":"2026-05-18T03:11:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.6662","created_at":"2026-05-18T03:11:23Z"},{"alias_kind":"pith_short_12","alias_value":"HYC6RIHZPV7K","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"HYC6RIHZPV7KZFN4","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"HYC6RIHZ","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:de75b21b86c7f55d1db70c91a605ebf343dc5ce9b4948ed42c604bfc4372690d","target":"graph","created_at":"2026-05-18T03:11:23Z","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":"Starting from the N-particle Nelson Hamiltonian defined by imposing an ultraviolet cutoff, we perform ultraviolet renormalization by showing that in the zero cutoff limit a self-adjoint operator exists after a logarithmically divergent term is subtracted from the original Hamiltonian. We obtain this term as the diagonal part of a pair interaction appearing in the density of a Gibbs measure derived from the Feynman-Kac representation of the Hamiltonian. Also, we show existence of a weak coupling limit of the renormalized Hamiltonian and derive an effective Yukawa interaction potential between t","authors_text":"F. Hiroshima, J. Lorinczi, M. Gubinelli","cross_cats":["math.FA","math.MP","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-04-24T16:42:06Z","title":"Ultraviolet Renormalization of the Nelson Hamiltonian through Functional Integration"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.6662","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:f74b6670707fec8477dca429d76fa63b484cf736c7003d0616e6c3aa24146ccb","target":"record","created_at":"2026-05-18T03:11:23Z","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":"7bb705c21e2fa4d785b18b4a94cfd6503d6f37b93064019e5744ecbe257c72d5","cross_cats_sorted":["math.FA","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-04-24T16:42:06Z","title_canon_sha256":"89a0bdc545bbc5a12edda7abc51f001d5e0b5fd6559bc9c26e77222a57e5338c"},"schema_version":"1.0","source":{"id":"1304.6662","kind":"arxiv","version":2}},"canonical_sha256":"3e05e8a0f97d7eac95bca7068a918a99b6a2bef787a55f8fb774b94f98423787","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3e05e8a0f97d7eac95bca7068a918a99b6a2bef787a55f8fb774b94f98423787","first_computed_at":"2026-05-18T03:11:23.867788Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:11:23.867788Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xcfPrXpLkQP3ZTiQQvrPoI1406aimvxcT0SyxRI7d94J26I3ZOWCtYKI/iaD8HhFhEHpF4G7r52FQPXqKe5FAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:11:23.868515Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.6662","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f74b6670707fec8477dca429d76fa63b484cf736c7003d0616e6c3aa24146ccb","sha256:de75b21b86c7f55d1db70c91a605ebf343dc5ce9b4948ed42c604bfc4372690d"],"state_sha256":"945aa8a29db8f0cac22c5b8552936af0b3c70110b90c1f6acae14c0785c1e021"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BXno1/ZOZqU05tNCsKYCs5Ft5EHGS+os0y1bUYPHpqpruX6Utt9ha1PQHItKdd8eyiAIN6Bj1s2Zxh7qjM+xBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T03:51:27.794927Z","bundle_sha256":"a96d9d2894ae07f0655becac9fa287c9627a5a0eb545646591418f58641edabf"}}