{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:5GWODEMEC5KEW34R52VAN7UCRQ","short_pith_number":"pith:5GWODEME","schema_version":"1.0","canonical_sha256":"e9ace1918417544b6f91eeaa06fe828c288adaf0089dbf78c6619262b10d61b1","source":{"kind":"arxiv","id":"1406.0822","version":3},"attestation_state":"computed","paper":{"title":"Unifying framework for scalar-tensor theories of gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Xian Gao","submitted_at":"2014-06-03T19:28:38Z","abstract_excerpt":"A general framework for effective theories propagating two tensor and one scalar degrees of freedom is investigated. Geometrically, it describes dynamical foliation of spacelike hypersurfaces coupled to a general background, in which the scalar mode encodes the fluctuation of the hypersurfaces. Within this framework, various models in the literature---including $k$-essence, Horndeski theory, the effective field theory of inflation, ghost condensate as well as the Ho\\v{r}ava gravity---get unified. Our framework generalizes the Horndeski theory in the sense that, it propagates the correct number"},"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":"1406.0822","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-06-03T19:28:38Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"c1ad3fca9d3afdc9eb339e26613ac8fd9b253d4cfa44b81efe5f580f922e803a","abstract_canon_sha256":"693e6bccd7e7d6b9d6d70ec04fe6c971e8a8908a8870a5d3798c7998afbb3356"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:39:10.878659Z","signature_b64":"o6xknDiKyNaazSqCnT/3j7AjJNLfU+iwX9BaWMIgQp2Xb6vFc8iP8iCVggaH2zzFyIRZh3qC7UejWP4mX3bcCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e9ace1918417544b6f91eeaa06fe828c288adaf0089dbf78c6619262b10d61b1","last_reissued_at":"2026-05-18T02:39:10.877956Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:39:10.877956Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Unifying framework for scalar-tensor theories of gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Xian Gao","submitted_at":"2014-06-03T19:28:38Z","abstract_excerpt":"A general framework for effective theories propagating two tensor and one scalar degrees of freedom is investigated. Geometrically, it describes dynamical foliation of spacelike hypersurfaces coupled to a general background, in which the scalar mode encodes the fluctuation of the hypersurfaces. Within this framework, various models in the literature---including $k$-essence, Horndeski theory, the effective field theory of inflation, ghost condensate as well as the Ho\\v{r}ava gravity---get unified. Our framework generalizes the Horndeski theory in the sense that, it propagates the correct number"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.0822","kind":"arxiv","version":3},"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":"1406.0822","created_at":"2026-05-18T02:39:10.878088+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.0822v3","created_at":"2026-05-18T02:39:10.878088+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.0822","created_at":"2026-05-18T02:39:10.878088+00:00"},{"alias_kind":"pith_short_12","alias_value":"5GWODEMEC5KE","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_16","alias_value":"5GWODEMEC5KEW34R","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_8","alias_value":"5GWODEME","created_at":"2026-05-18T12:28:14.216126+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.09170","citing_title":"Covariant scalar-tensor theories beyond second derivatives","ref_index":1,"is_internal_anchor":false},{"citing_arxiv_id":"2604.14490","citing_title":"Spatially covariant gravity with two degrees of freedom: A perturbative analysis up to cubic order","ref_index":17,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5GWODEMEC5KEW34R52VAN7UCRQ","json":"https://pith.science/pith/5GWODEMEC5KEW34R52VAN7UCRQ.json","graph_json":"https://pith.science/api/pith-number/5GWODEMEC5KEW34R52VAN7UCRQ/graph.json","events_json":"https://pith.science/api/pith-number/5GWODEMEC5KEW34R52VAN7UCRQ/events.json","paper":"https://pith.science/paper/5GWODEME"},"agent_actions":{"view_html":"https://pith.science/pith/5GWODEMEC5KEW34R52VAN7UCRQ","download_json":"https://pith.science/pith/5GWODEMEC5KEW34R52VAN7UCRQ.json","view_paper":"https://pith.science/paper/5GWODEME","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.0822&json=true","fetch_graph":"https://pith.science/api/pith-number/5GWODEMEC5KEW34R52VAN7UCRQ/graph.json","fetch_events":"https://pith.science/api/pith-number/5GWODEMEC5KEW34R52VAN7UCRQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5GWODEMEC5KEW34R52VAN7UCRQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5GWODEMEC5KEW34R52VAN7UCRQ/action/storage_attestation","attest_author":"https://pith.science/pith/5GWODEMEC5KEW34R52VAN7UCRQ/action/author_attestation","sign_citation":"https://pith.science/pith/5GWODEMEC5KEW34R52VAN7UCRQ/action/citation_signature","submit_replication":"https://pith.science/pith/5GWODEMEC5KEW34R52VAN7UCRQ/action/replication_record"}},"created_at":"2026-05-18T02:39:10.878088+00:00","updated_at":"2026-05-18T02:39:10.878088+00:00"}