{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:A3P375C5QN3HGRMAUARBTMHEMT","short_pith_number":"pith:A3P375C5","schema_version":"1.0","canonical_sha256":"06dfbff45d8376734580a02219b0e464d6b26901910c47f2496258569b99e089","source":{"kind":"arxiv","id":"2503.11304","version":1},"attestation_state":"computed","paper":{"title":"The Fierz-Pauli theory on curved spacetime at one-loop and its counterterms","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Filippo Fecit, Leonardo Farolfi","submitted_at":"2025-03-14T11:16:43Z","abstract_excerpt":"We compute the first four heat-kernel coefficients required for the renormalization of Linearized Massive Gravity. We focus on the Fierz-Pauli theory in a curved spacetime, describing the propagation of a massive spin $2$ field in a non-flat background. The background must be on-shell, i.e. must be an Einstein space, in order to ensure a consistent extension of the Fierz-Pauli theory beyond Minkowski space. Starting from the St\\\"uckelberg formulation with restored gauge invariance, we apply suitable gauge-fixing procedures to simplify the complicated non-minimal kinetic operators of the scalar"},"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":"2503.11304","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-03-14T11:16:43Z","cross_cats_sorted":[],"title_canon_sha256":"26508b473b6987a866c7c257f81f40b71673e3aedff07971a1ea4d571b84956e","abstract_canon_sha256":"18c9170d669fa130a45f8c63e4f6e2aaa06c2381bc293fc7dae03dddbc7210b1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:31:16.636017Z","signature_b64":"dmQ8iQq+5SXT3mzbk/2T4cU6xzzP0TE8XP8O9IElmrFL4TooSPbawOpVjmRpyz+StddZYPbfcI1IGDVZdXoRCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"06dfbff45d8376734580a02219b0e464d6b26901910c47f2496258569b99e089","last_reissued_at":"2026-07-05T10:31:16.635348Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:31:16.635348Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Fierz-Pauli theory on curved spacetime at one-loop and its counterterms","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Filippo Fecit, Leonardo Farolfi","submitted_at":"2025-03-14T11:16:43Z","abstract_excerpt":"We compute the first four heat-kernel coefficients required for the renormalization of Linearized Massive Gravity. We focus on the Fierz-Pauli theory in a curved spacetime, describing the propagation of a massive spin $2$ field in a non-flat background. The background must be on-shell, i.e. must be an Einstein space, in order to ensure a consistent extension of the Fierz-Pauli theory beyond Minkowski space. Starting from the St\\\"uckelberg formulation with restored gauge invariance, we apply suitable gauge-fixing procedures to simplify the complicated non-minimal kinetic operators of the scalar"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.11304","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/2503.11304/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":"2503.11304","created_at":"2026-07-05T10:31:16.635428+00:00"},{"alias_kind":"arxiv_version","alias_value":"2503.11304v1","created_at":"2026-07-05T10:31:16.635428+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.11304","created_at":"2026-07-05T10:31:16.635428+00:00"},{"alias_kind":"pith_short_12","alias_value":"A3P375C5QN3H","created_at":"2026-07-05T10:31:16.635428+00:00"},{"alias_kind":"pith_short_16","alias_value":"A3P375C5QN3HGRMA","created_at":"2026-07-05T10:31:16.635428+00:00"},{"alias_kind":"pith_short_8","alias_value":"A3P375C5","created_at":"2026-07-05T10:31:16.635428+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2511.16103","citing_title":"Scattering of massive spin-2 field via graviton exchanges with different spin fields and the long range gravitational potential","ref_index":59,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/A3P375C5QN3HGRMAUARBTMHEMT","json":"https://pith.science/pith/A3P375C5QN3HGRMAUARBTMHEMT.json","graph_json":"https://pith.science/api/pith-number/A3P375C5QN3HGRMAUARBTMHEMT/graph.json","events_json":"https://pith.science/api/pith-number/A3P375C5QN3HGRMAUARBTMHEMT/events.json","paper":"https://pith.science/paper/A3P375C5"},"agent_actions":{"view_html":"https://pith.science/pith/A3P375C5QN3HGRMAUARBTMHEMT","download_json":"https://pith.science/pith/A3P375C5QN3HGRMAUARBTMHEMT.json","view_paper":"https://pith.science/paper/A3P375C5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2503.11304&json=true","fetch_graph":"https://pith.science/api/pith-number/A3P375C5QN3HGRMAUARBTMHEMT/graph.json","fetch_events":"https://pith.science/api/pith-number/A3P375C5QN3HGRMAUARBTMHEMT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/A3P375C5QN3HGRMAUARBTMHEMT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/A3P375C5QN3HGRMAUARBTMHEMT/action/storage_attestation","attest_author":"https://pith.science/pith/A3P375C5QN3HGRMAUARBTMHEMT/action/author_attestation","sign_citation":"https://pith.science/pith/A3P375C5QN3HGRMAUARBTMHEMT/action/citation_signature","submit_replication":"https://pith.science/pith/A3P375C5QN3HGRMAUARBTMHEMT/action/replication_record"}},"created_at":"2026-07-05T10:31:16.635428+00:00","updated_at":"2026-07-05T10:31:16.635428+00:00"}