{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:MIKZKAM2QY5NYWWKJ5A46D2EIW","short_pith_number":"pith:MIKZKAM2","schema_version":"1.0","canonical_sha256":"621595019a863adc5aca4f41cf0f4445989f155c8681660806a1f2901158606d","source":{"kind":"arxiv","id":"1402.1863","version":4},"attestation_state":"computed","paper":{"title":"Gaussian-Perturbative Calculations with a Homogeneous External Source","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-th","authors_text":"Jorge L. deLyra","submitted_at":"2014-02-08T16:31:40Z","abstract_excerpt":"We derive the equation of the critical curve and calculate the renormalized masses of the $SO(N)$-symmetric $\\lambda\\phi^{4}$ model in the presence of a homogeneous external source. We do this using the Gaussian-Perturbative approximation on finite lattices and explicitly taking the continuum limit. No disabling divergences are found in the final results, and no renormalization is necessary. We show that the results give a complete description of the critical behavior of the model and of the phenomenon of spontaneous symmetry breaking, at the quantum-field-theoretical level.\n  We show that the"},"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":"1402.1863","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-02-08T16:31:40Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"2da7043e103f77dc6b28e039e57aae5ad9bf0bb275b1ab0103f8d6eeb66bb6c6","abstract_canon_sha256":"df28cfd905f73700e37904b39a36decc0dd15aa722cd3a30ec98bab0c178413e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:43:54.122561Z","signature_b64":"eAyPElma9YMZumVLVaa6VT0BB3NbbX03HP8Qv7s5fhKeIjRh4UEiEhc9us2XIGgVk6nG8jV19VImZfTZPa4WDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"621595019a863adc5aca4f41cf0f4445989f155c8681660806a1f2901158606d","last_reissued_at":"2026-05-18T02:43:54.122165Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:43:54.122165Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Gaussian-Perturbative Calculations with a Homogeneous External Source","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-th","authors_text":"Jorge L. deLyra","submitted_at":"2014-02-08T16:31:40Z","abstract_excerpt":"We derive the equation of the critical curve and calculate the renormalized masses of the $SO(N)$-symmetric $\\lambda\\phi^{4}$ model in the presence of a homogeneous external source. We do this using the Gaussian-Perturbative approximation on finite lattices and explicitly taking the continuum limit. No disabling divergences are found in the final results, and no renormalization is necessary. We show that the results give a complete description of the critical behavior of the model and of the phenomenon of spontaneous symmetry breaking, at the quantum-field-theoretical level.\n  We show that the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.1863","kind":"arxiv","version":4},"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":"1402.1863","created_at":"2026-05-18T02:43:54.122227+00:00"},{"alias_kind":"arxiv_version","alias_value":"1402.1863v4","created_at":"2026-05-18T02:43:54.122227+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.1863","created_at":"2026-05-18T02:43:54.122227+00:00"},{"alias_kind":"pith_short_12","alias_value":"MIKZKAM2QY5N","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_16","alias_value":"MIKZKAM2QY5NYWWK","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_8","alias_value":"MIKZKAM2","created_at":"2026-05-18T12:28:38.356838+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/MIKZKAM2QY5NYWWKJ5A46D2EIW","json":"https://pith.science/pith/MIKZKAM2QY5NYWWKJ5A46D2EIW.json","graph_json":"https://pith.science/api/pith-number/MIKZKAM2QY5NYWWKJ5A46D2EIW/graph.json","events_json":"https://pith.science/api/pith-number/MIKZKAM2QY5NYWWKJ5A46D2EIW/events.json","paper":"https://pith.science/paper/MIKZKAM2"},"agent_actions":{"view_html":"https://pith.science/pith/MIKZKAM2QY5NYWWKJ5A46D2EIW","download_json":"https://pith.science/pith/MIKZKAM2QY5NYWWKJ5A46D2EIW.json","view_paper":"https://pith.science/paper/MIKZKAM2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1402.1863&json=true","fetch_graph":"https://pith.science/api/pith-number/MIKZKAM2QY5NYWWKJ5A46D2EIW/graph.json","fetch_events":"https://pith.science/api/pith-number/MIKZKAM2QY5NYWWKJ5A46D2EIW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MIKZKAM2QY5NYWWKJ5A46D2EIW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MIKZKAM2QY5NYWWKJ5A46D2EIW/action/storage_attestation","attest_author":"https://pith.science/pith/MIKZKAM2QY5NYWWKJ5A46D2EIW/action/author_attestation","sign_citation":"https://pith.science/pith/MIKZKAM2QY5NYWWKJ5A46D2EIW/action/citation_signature","submit_replication":"https://pith.science/pith/MIKZKAM2QY5NYWWKJ5A46D2EIW/action/replication_record"}},"created_at":"2026-05-18T02:43:54.122227+00:00","updated_at":"2026-05-18T02:43:54.122227+00:00"}