{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:7WQMGSPFDBYHFVRDOLAL5QH4ZA","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"1c3f9968bccd5c1356da0c80e17fa7ebc54ca2e86d6b9f43b463c327470aec05","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-08-24T14:23:08Z","title_canon_sha256":"b68ea621457e4752fa0dac73c482e7e9482810e2f3080a1976367d0fbce7473e"},"schema_version":"1.0","source":{"id":"1808.08154","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.08154","created_at":"2026-05-18T00:03:55Z"},{"alias_kind":"arxiv_version","alias_value":"1808.08154v1","created_at":"2026-05-18T00:03:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.08154","created_at":"2026-05-18T00:03:55Z"},{"alias_kind":"pith_short_12","alias_value":"7WQMGSPFDBYH","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"7WQMGSPFDBYHFVRD","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"7WQMGSPF","created_at":"2026-05-18T12:32:11Z"}],"graph_snapshots":[{"event_id":"sha256:92044a0e37d66d3aa0c04693292aea6d55a99e5dc6a5892ecfb3bfe7bd403374","target":"graph","created_at":"2026-05-18T00:03:55Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In this note we consider the issue of the classical equivalence of scale-invariant gravity in the Einstein and in the Jordan frames. We first consider the simplest example $f(R)=R^{2}$ and show explicitly that the equivalence breaks down when dealing with Ricci-flat solutions. We discuss the link with the fact that flat solutions in quadratic gravity have zero energy. We also consider the case of scale-invariant tensor-scalar gravity and general $f(R)$ theories. We argue that all scale-invariant gravity models have Ricci flat solutions in the Jordan frame that cannot be mapped into the Einstei","authors_text":"Massimiliano Rinaldi","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-08-24T14:23:08Z","title":"On the equivalence of Jordan and Einstein frames in scale-invariant gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.08154","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:db2dcd6da3731353ae642d434c291605dd7b40389eb630fe2ec0c16eefbdd35e","target":"record","created_at":"2026-05-18T00:03:55Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"1c3f9968bccd5c1356da0c80e17fa7ebc54ca2e86d6b9f43b463c327470aec05","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-08-24T14:23:08Z","title_canon_sha256":"b68ea621457e4752fa0dac73c482e7e9482810e2f3080a1976367d0fbce7473e"},"schema_version":"1.0","source":{"id":"1808.08154","kind":"arxiv","version":1}},"canonical_sha256":"fda0c349e5187072d62372c0bec0fcc81ac1f09d264b80d9eebc5012bb91fd55","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fda0c349e5187072d62372c0bec0fcc81ac1f09d264b80d9eebc5012bb91fd55","first_computed_at":"2026-05-18T00:03:55.452237Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:03:55.452237Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v+JyjHPvPhEthiJ7mzmLfzZd+fLz4jZu7oCvaZFnNAQH0tGfKkU1XZjOlw6PvMqMoE/hb8fA5m666k3RR2KQAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:03:55.452638Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.08154","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:db2dcd6da3731353ae642d434c291605dd7b40389eb630fe2ec0c16eefbdd35e","sha256:92044a0e37d66d3aa0c04693292aea6d55a99e5dc6a5892ecfb3bfe7bd403374"],"state_sha256":"ec8beb6b2b6e1cdfbf28140cad07b93f9efd632bb858b7546714824abee99457"}