{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:AUICUOWTU5WEKNFARNYWYVJLL3","short_pith_number":"pith:AUICUOWT","schema_version":"1.0","canonical_sha256":"05102a3ad3a76c4534a08b716c552b5ed9d9a6dc8ac44e81be247276f15861b4","source":{"kind":"arxiv","id":"2110.06041","version":4},"attestation_state":"computed","paper":{"title":"Path Integrals in Quadratic Gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Evgeniy T. Shavgulidze, Vladimir V. Belokurov","submitted_at":"2021-10-12T14:39:43Z","abstract_excerpt":"Using the invariance of Quadratic Gravity in FLRW metric under the group of diffeomorphisms of the time coordinate, we rewrite the action $A$ of the theory in terms of the invariant dynamical variable $g(\\tau)\\,.$\n  We propose to consider the path integrals $\\int\\,F(g)\\,\\exp\\left\\{-A \\right\\}dg$ as the integrals over the functional measure $\\mu(g)=\\exp\\left\\{-A_{2} \\right\\}dg\\,,\\ $ where $A_{2}$ is the part of the action $A$ quadratic in $R\\,.$ The rest part of the action stands in the exponent in the integrand as the \"interaction\" term. We prove the measure $\\mu(g)$ to be equivalent to the Wi"},"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":"2110.06041","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-10-12T14:39:43Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"6ac5225507114ada7f3c1922d30b243034d1c4c6023251d56b7be558a6b7cccb","abstract_canon_sha256":"48cc7f29ae3db6d3d3c3b1382cef42b35607eb82a0f852e944a424ff6389ec4e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:00:58.735774Z","signature_b64":"FyG+/AVYh38BVgXyodlq+JzG2OCFtNlYn0u7xG2ojUGaIQOKBpeZ7+nJRypvmcsMQW/5JlLeJXyCXiDgUtAqAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"05102a3ad3a76c4534a08b716c552b5ed9d9a6dc8ac44e81be247276f15861b4","last_reissued_at":"2026-07-05T04:00:58.735368Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:00:58.735368Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Path Integrals in Quadratic Gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Evgeniy T. Shavgulidze, Vladimir V. Belokurov","submitted_at":"2021-10-12T14:39:43Z","abstract_excerpt":"Using the invariance of Quadratic Gravity in FLRW metric under the group of diffeomorphisms of the time coordinate, we rewrite the action $A$ of the theory in terms of the invariant dynamical variable $g(\\tau)\\,.$\n  We propose to consider the path integrals $\\int\\,F(g)\\,\\exp\\left\\{-A \\right\\}dg$ as the integrals over the functional measure $\\mu(g)=\\exp\\left\\{-A_{2} \\right\\}dg\\,,\\ $ where $A_{2}$ is the part of the action $A$ quadratic in $R\\,.$ The rest part of the action stands in the exponent in the integrand as the \"interaction\" term. We prove the measure $\\mu(g)$ to be equivalent to the Wi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2110.06041","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2110.06041/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":"2110.06041","created_at":"2026-07-05T04:00:58.735425+00:00"},{"alias_kind":"arxiv_version","alias_value":"2110.06041v4","created_at":"2026-07-05T04:00:58.735425+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2110.06041","created_at":"2026-07-05T04:00:58.735425+00:00"},{"alias_kind":"pith_short_12","alias_value":"AUICUOWTU5WE","created_at":"2026-07-05T04:00:58.735425+00:00"},{"alias_kind":"pith_short_16","alias_value":"AUICUOWTU5WEKNFA","created_at":"2026-07-05T04:00:58.735425+00:00"},{"alias_kind":"pith_short_8","alias_value":"AUICUOWT","created_at":"2026-07-05T04:00:58.735425+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2411.19311","citing_title":"Conformal Cores of Quantum Black Holes in Quadratic Gravity","ref_index":77,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/AUICUOWTU5WEKNFARNYWYVJLL3","json":"https://pith.science/pith/AUICUOWTU5WEKNFARNYWYVJLL3.json","graph_json":"https://pith.science/api/pith-number/AUICUOWTU5WEKNFARNYWYVJLL3/graph.json","events_json":"https://pith.science/api/pith-number/AUICUOWTU5WEKNFARNYWYVJLL3/events.json","paper":"https://pith.science/paper/AUICUOWT"},"agent_actions":{"view_html":"https://pith.science/pith/AUICUOWTU5WEKNFARNYWYVJLL3","download_json":"https://pith.science/pith/AUICUOWTU5WEKNFARNYWYVJLL3.json","view_paper":"https://pith.science/paper/AUICUOWT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2110.06041&json=true","fetch_graph":"https://pith.science/api/pith-number/AUICUOWTU5WEKNFARNYWYVJLL3/graph.json","fetch_events":"https://pith.science/api/pith-number/AUICUOWTU5WEKNFARNYWYVJLL3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AUICUOWTU5WEKNFARNYWYVJLL3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AUICUOWTU5WEKNFARNYWYVJLL3/action/storage_attestation","attest_author":"https://pith.science/pith/AUICUOWTU5WEKNFARNYWYVJLL3/action/author_attestation","sign_citation":"https://pith.science/pith/AUICUOWTU5WEKNFARNYWYVJLL3/action/citation_signature","submit_replication":"https://pith.science/pith/AUICUOWTU5WEKNFARNYWYVJLL3/action/replication_record"}},"created_at":"2026-07-05T04:00:58.735425+00:00","updated_at":"2026-07-05T04:00:58.735425+00:00"}