{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:B2HIFDSYOFT7QYXKDVAY7E73Z7","short_pith_number":"pith:B2HIFDSY","schema_version":"1.0","canonical_sha256":"0e8e828e587167f862ea1d418f93fbcfd869d38f6486fb42320583eda68538fe","source":{"kind":"arxiv","id":"2310.09539","version":2},"attestation_state":"computed","paper":{"title":"On the canonical equivalence between Jordan and Einstein frames","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Gabriele Gionti S.J., Matteo Galaverni","submitted_at":"2023-10-14T09:27:51Z","abstract_excerpt":"A longstanding issue is the classical equivalence between the Jordan and the Einstein frames, which is considered just a field redefinition of the metric tensor and the scalar field. In this work, based on the previous result that the Hamiltonian transformations from the Jordan to the Einstein frame are not canonical on the extended phase space, we study the possibility of the existence of canonical transformations. We show that on the reduced phase space -- defined by suitable gauge fixing of the lapse and shifts functions -- these transformations are Hamiltonian canonical. Poisson brackets a"},"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":"2310.09539","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-10-14T09:27:51Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"e727a5b105d5d9982855e7f20c49cd95ad8008ac5e4f29b9dda06f8aeda162dd","abstract_canon_sha256":"6bfabf8952bd3760bd98fa3f8ecd9d6314e3dfad205fcef7a13e593137e0938a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:48:49.278388Z","signature_b64":"CgqNDOOEdfxYMlWPwLm8z4NN5PQn84zMQlbWzQ5n3cpb3mC/7mVrLQpHVOuyiXZYXENPgPOQ0CnF86l70SnEBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0e8e828e587167f862ea1d418f93fbcfd869d38f6486fb42320583eda68538fe","last_reissued_at":"2026-07-05T07:48:49.277957Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:48:49.277957Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the canonical equivalence between Jordan and Einstein frames","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Gabriele Gionti S.J., Matteo Galaverni","submitted_at":"2023-10-14T09:27:51Z","abstract_excerpt":"A longstanding issue is the classical equivalence between the Jordan and the Einstein frames, which is considered just a field redefinition of the metric tensor and the scalar field. In this work, based on the previous result that the Hamiltonian transformations from the Jordan to the Einstein frame are not canonical on the extended phase space, we study the possibility of the existence of canonical transformations. We show that on the reduced phase space -- defined by suitable gauge fixing of the lapse and shifts functions -- these transformations are Hamiltonian canonical. Poisson brackets a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.09539","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/2310.09539/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":"2310.09539","created_at":"2026-07-05T07:48:49.278014+00:00"},{"alias_kind":"arxiv_version","alias_value":"2310.09539v2","created_at":"2026-07-05T07:48:49.278014+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.09539","created_at":"2026-07-05T07:48:49.278014+00:00"},{"alias_kind":"pith_short_12","alias_value":"B2HIFDSYOFT7","created_at":"2026-07-05T07:48:49.278014+00:00"},{"alias_kind":"pith_short_16","alias_value":"B2HIFDSYOFT7QYXK","created_at":"2026-07-05T07:48:49.278014+00:00"},{"alias_kind":"pith_short_8","alias_value":"B2HIFDSY","created_at":"2026-07-05T07:48:49.278014+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.21670","citing_title":"Effective field theory interpretation of ATLAS measurements involving the Higgs boson, electroweak bosons and the top quark","ref_index":27,"is_internal_anchor":false},{"citing_arxiv_id":"2503.12826","citing_title":"The Unknown Face of Scalar-Tensor Gravitational Theories","ref_index":46,"is_internal_anchor":false},{"citing_arxiv_id":"2504.05572","citing_title":"Conformal form-invariant parametrization of scalar-tensor gravity theories: A critical analysis","ref_index":50,"is_internal_anchor":false},{"citing_arxiv_id":"2604.21671","citing_title":"Saturation Mechanisms in the Interacting Dark Sector","ref_index":28,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/B2HIFDSYOFT7QYXKDVAY7E73Z7","json":"https://pith.science/pith/B2HIFDSYOFT7QYXKDVAY7E73Z7.json","graph_json":"https://pith.science/api/pith-number/B2HIFDSYOFT7QYXKDVAY7E73Z7/graph.json","events_json":"https://pith.science/api/pith-number/B2HIFDSYOFT7QYXKDVAY7E73Z7/events.json","paper":"https://pith.science/paper/B2HIFDSY"},"agent_actions":{"view_html":"https://pith.science/pith/B2HIFDSYOFT7QYXKDVAY7E73Z7","download_json":"https://pith.science/pith/B2HIFDSYOFT7QYXKDVAY7E73Z7.json","view_paper":"https://pith.science/paper/B2HIFDSY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2310.09539&json=true","fetch_graph":"https://pith.science/api/pith-number/B2HIFDSYOFT7QYXKDVAY7E73Z7/graph.json","fetch_events":"https://pith.science/api/pith-number/B2HIFDSYOFT7QYXKDVAY7E73Z7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/B2HIFDSYOFT7QYXKDVAY7E73Z7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/B2HIFDSYOFT7QYXKDVAY7E73Z7/action/storage_attestation","attest_author":"https://pith.science/pith/B2HIFDSYOFT7QYXKDVAY7E73Z7/action/author_attestation","sign_citation":"https://pith.science/pith/B2HIFDSYOFT7QYXKDVAY7E73Z7/action/citation_signature","submit_replication":"https://pith.science/pith/B2HIFDSYOFT7QYXKDVAY7E73Z7/action/replication_record"}},"created_at":"2026-07-05T07:48:49.278014+00:00","updated_at":"2026-07-05T07:48:49.278014+00:00"}