{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:4EY5HC32HHOP73AP6HR2HLQKEW","short_pith_number":"pith:4EY5HC32","schema_version":"1.0","canonical_sha256":"e131d38b7a39dcffec0ff1e3a3ae0a2581159e44fd8ad83d391eae38d0abc9e0","source":{"kind":"arxiv","id":"1808.00420","version":2},"attestation_state":"computed","paper":{"title":"A Fresh Look at the Calculation of Tunneling Actions including Gravitational Effects","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"J. R. Espinosa","submitted_at":"2018-08-01T17:03:30Z","abstract_excerpt":"Recently, the calculation of tunneling actions, that control the exponential suppression of the decay of metastable vacua, has been reformulated as an elementary variational problem in field space. This paper extends this formalism to include the effect of gravity. Considering tunneling potentials $V_t(\\phi)$ that go from the false vacuum $\\phi_+$ to some $\\phi_0$ on the stable basin of the scalar potential $V(\\phi)$, the tunneling action is the minimum of the functional $S_E[V_t]=6 \\pi^2m_P^4\\int_{\\phi_+}^{\\phi_0}(D+V_t')^2/(V_t^2D)d\\phi $, where $D\\equiv [(V_t')^2+6(V-V_t)V_t/m_P^2]^{1/2}$, "},"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":"1808.00420","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-08-01T17:03:30Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"687fe05e09f9ec8f1b924754fc21287f786d6e6b1e1e2c0494b9b67309378b03","abstract_canon_sha256":"bd918931c592dbaac0499b8b46b33707edf4b7d78465ee5513ecc6a96fe01edd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:18:30.900049Z","signature_b64":"NSmTIZqrxnTOw5K8m7ZitJHk9mOupUSuP2zJjeUiwHylSqwAEIHlKqRaktIv695SJfoGa+Mn7+OdOv+YgJNUDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e131d38b7a39dcffec0ff1e3a3ae0a2581159e44fd8ad83d391eae38d0abc9e0","last_reissued_at":"2026-07-05T00:18:30.899667Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:18:30.899667Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Fresh Look at the Calculation of Tunneling Actions including Gravitational Effects","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"J. R. Espinosa","submitted_at":"2018-08-01T17:03:30Z","abstract_excerpt":"Recently, the calculation of tunneling actions, that control the exponential suppression of the decay of metastable vacua, has been reformulated as an elementary variational problem in field space. This paper extends this formalism to include the effect of gravity. Considering tunneling potentials $V_t(\\phi)$ that go from the false vacuum $\\phi_+$ to some $\\phi_0$ on the stable basin of the scalar potential $V(\\phi)$, the tunneling action is the minimum of the functional $S_E[V_t]=6 \\pi^2m_P^4\\int_{\\phi_+}^{\\phi_0}(D+V_t')^2/(V_t^2D)d\\phi $, where $D\\equiv [(V_t')^2+6(V-V_t)V_t/m_P^2]^{1/2}$, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.00420","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1808.00420/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":"1808.00420","created_at":"2026-07-05T00:18:30.899723+00:00"},{"alias_kind":"arxiv_version","alias_value":"1808.00420v2","created_at":"2026-07-05T00:18:30.899723+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.00420","created_at":"2026-07-05T00:18:30.899723+00:00"},{"alias_kind":"pith_short_12","alias_value":"4EY5HC32HHOP","created_at":"2026-07-05T00:18:30.899723+00:00"},{"alias_kind":"pith_short_16","alias_value":"4EY5HC32HHOP73AP","created_at":"2026-07-05T00:18:30.899723+00:00"},{"alias_kind":"pith_short_8","alias_value":"4EY5HC32","created_at":"2026-07-05T00:18:30.899723+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.26795","citing_title":"A positive definite formulation of vacuum decay with reduced symmetry","ref_index":6,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/4EY5HC32HHOP73AP6HR2HLQKEW","json":"https://pith.science/pith/4EY5HC32HHOP73AP6HR2HLQKEW.json","graph_json":"https://pith.science/api/pith-number/4EY5HC32HHOP73AP6HR2HLQKEW/graph.json","events_json":"https://pith.science/api/pith-number/4EY5HC32HHOP73AP6HR2HLQKEW/events.json","paper":"https://pith.science/paper/4EY5HC32"},"agent_actions":{"view_html":"https://pith.science/pith/4EY5HC32HHOP73AP6HR2HLQKEW","download_json":"https://pith.science/pith/4EY5HC32HHOP73AP6HR2HLQKEW.json","view_paper":"https://pith.science/paper/4EY5HC32","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1808.00420&json=true","fetch_graph":"https://pith.science/api/pith-number/4EY5HC32HHOP73AP6HR2HLQKEW/graph.json","fetch_events":"https://pith.science/api/pith-number/4EY5HC32HHOP73AP6HR2HLQKEW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4EY5HC32HHOP73AP6HR2HLQKEW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4EY5HC32HHOP73AP6HR2HLQKEW/action/storage_attestation","attest_author":"https://pith.science/pith/4EY5HC32HHOP73AP6HR2HLQKEW/action/author_attestation","sign_citation":"https://pith.science/pith/4EY5HC32HHOP73AP6HR2HLQKEW/action/citation_signature","submit_replication":"https://pith.science/pith/4EY5HC32HHOP73AP6HR2HLQKEW/action/replication_record"}},"created_at":"2026-07-05T00:18:30.899723+00:00","updated_at":"2026-07-05T00:18:30.899723+00:00"}