{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:OHFOCA4ZKTOOIC6VMUF76DPS6Y","short_pith_number":"pith:OHFOCA4Z","schema_version":"1.0","canonical_sha256":"71cae1039954dce40bd5650bff0df2f62524b2f098f1b5b75941319e689e6377","source":{"kind":"arxiv","id":"1406.0060","version":2},"attestation_state":"computed","paper":{"title":"Restricted Weyl invariance in four-dimensional curved spacetime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Ariel Edery, Yu Nakayama","submitted_at":"2014-05-31T09:19:18Z","abstract_excerpt":"We discuss the physics of {\\it restricted Weyl invariance}, a symmetry of dimensionless actions in four dimensional curved space time. When we study a scalar field nonminimally coupled to gravity with Weyl(conformal) weight of $-1$ (i.e. scalar field with the usual two-derivative kinetic term), we find that dimensionless terms are either fully Weyl invariant or are Weyl invariant if the conformal factor $\\Omega(x)$ obeys the condition $g^{\\mu\\nu}\\nabla_{\\mu}\\nabla_{\\nu}\\Omega=0$. We refer to the latter as {\\it restricted Weyl invariance}. We show that all the dimensionless geometric terms such"},"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":"1406.0060","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-05-31T09:19:18Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"409d2d1b6cdabda40a31a46b99b5157cf139a6e55b6bc21f82e3c8e556e5e3f5","abstract_canon_sha256":"4e3422db3df0709a6c030d534b7b7917b4f7852204dd62d4d31dd0c474dbc779"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:44:08.854283Z","signature_b64":"PmRxRf6TIwU05sGOkLV2jRM7ss2qLZHqoMKdrDfL9mZPeGZJpW6EINULXIhabOKZfbxYL2zLy8gHZ2/9EySPBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"71cae1039954dce40bd5650bff0df2f62524b2f098f1b5b75941319e689e6377","last_reissued_at":"2026-05-18T02:44:08.853852Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:44:08.853852Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Restricted Weyl invariance in four-dimensional curved spacetime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Ariel Edery, Yu Nakayama","submitted_at":"2014-05-31T09:19:18Z","abstract_excerpt":"We discuss the physics of {\\it restricted Weyl invariance}, a symmetry of dimensionless actions in four dimensional curved space time. When we study a scalar field nonminimally coupled to gravity with Weyl(conformal) weight of $-1$ (i.e. scalar field with the usual two-derivative kinetic term), we find that dimensionless terms are either fully Weyl invariant or are Weyl invariant if the conformal factor $\\Omega(x)$ obeys the condition $g^{\\mu\\nu}\\nabla_{\\mu}\\nabla_{\\nu}\\Omega=0$. We refer to the latter as {\\it restricted Weyl invariance}. We show that all the dimensionless geometric terms such"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.0060","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":""},"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":"1406.0060","created_at":"2026-05-18T02:44:08.853914+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.0060v2","created_at":"2026-05-18T02:44:08.853914+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.0060","created_at":"2026-05-18T02:44:08.853914+00:00"},{"alias_kind":"pith_short_12","alias_value":"OHFOCA4ZKTOO","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_16","alias_value":"OHFOCA4ZKTOOIC6V","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_8","alias_value":"OHFOCA4Z","created_at":"2026-05-18T12:28:41.024544+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2411.17238","citing_title":"Spacetime and Planck mass generation from scale-invariant degenerate gravity","ref_index":20,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OHFOCA4ZKTOOIC6VMUF76DPS6Y","json":"https://pith.science/pith/OHFOCA4ZKTOOIC6VMUF76DPS6Y.json","graph_json":"https://pith.science/api/pith-number/OHFOCA4ZKTOOIC6VMUF76DPS6Y/graph.json","events_json":"https://pith.science/api/pith-number/OHFOCA4ZKTOOIC6VMUF76DPS6Y/events.json","paper":"https://pith.science/paper/OHFOCA4Z"},"agent_actions":{"view_html":"https://pith.science/pith/OHFOCA4ZKTOOIC6VMUF76DPS6Y","download_json":"https://pith.science/pith/OHFOCA4ZKTOOIC6VMUF76DPS6Y.json","view_paper":"https://pith.science/paper/OHFOCA4Z","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.0060&json=true","fetch_graph":"https://pith.science/api/pith-number/OHFOCA4ZKTOOIC6VMUF76DPS6Y/graph.json","fetch_events":"https://pith.science/api/pith-number/OHFOCA4ZKTOOIC6VMUF76DPS6Y/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OHFOCA4ZKTOOIC6VMUF76DPS6Y/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OHFOCA4ZKTOOIC6VMUF76DPS6Y/action/storage_attestation","attest_author":"https://pith.science/pith/OHFOCA4ZKTOOIC6VMUF76DPS6Y/action/author_attestation","sign_citation":"https://pith.science/pith/OHFOCA4ZKTOOIC6VMUF76DPS6Y/action/citation_signature","submit_replication":"https://pith.science/pith/OHFOCA4ZKTOOIC6VMUF76DPS6Y/action/replication_record"}},"created_at":"2026-05-18T02:44:08.853914+00:00","updated_at":"2026-05-18T02:44:08.853914+00:00"}