{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:P6RVUBJOGGMFX25AY6P7Z4JM6Q","short_pith_number":"pith:P6RVUBJO","schema_version":"1.0","canonical_sha256":"7fa35a052e31985beba0c79ffcf12cf43ae3152449197cb4a53db5539f92b382","source":{"kind":"arxiv","id":"2410.11036","version":3},"attestation_state":"computed","paper":{"title":"Symmetry reduction of gravitational Lagrangians","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Charles Torre, Guillermo Frausto, Ivan Kol\\'a\\v{r}, Tom\\'a\\v{s} M\\'alek","submitted_at":"2024-10-14T19:36:14Z","abstract_excerpt":"We analyze all possible symmetry reductions of Lagrangians that yield fully equivalent field equations for any 4-dimensional metric theory of gravity. Specifically, we present a complete list of infinitesimal group actions obeying the principle of symmetric criticality, identify the corresponding invariant metrics (and $l$-chains), discuss relations among them, and analyze simplifications allowed by the residual diffeomorphism group and Noether identities before and after variation of the reduced Lagrangian. We employ rigorous treatment of the symmetry reduction by Fels and Torre and use the H"},"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":"2410.11036","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-10-14T19:36:14Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"4a94a4a0b40645a7fd94393e70297d499b875c85d98596422e9210e906b89895","abstract_canon_sha256":"16f32775f10f731674157f5183ff095333d31cd2c02a9049bb6077f84ee039a2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:46:38.832171Z","signature_b64":"zagJYXGC1vaebZ5EEgPUPnCOmg9UkYk68nuILZjeVcNR3v8UJsQrLD1htmXHMGlqcMBBJLlnT9VqJxSbhFGBDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7fa35a052e31985beba0c79ffcf12cf43ae3152449197cb4a53db5539f92b382","last_reissued_at":"2026-07-05T10:46:38.831711Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:46:38.831711Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Symmetry reduction of gravitational Lagrangians","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Charles Torre, Guillermo Frausto, Ivan Kol\\'a\\v{r}, Tom\\'a\\v{s} M\\'alek","submitted_at":"2024-10-14T19:36:14Z","abstract_excerpt":"We analyze all possible symmetry reductions of Lagrangians that yield fully equivalent field equations for any 4-dimensional metric theory of gravity. Specifically, we present a complete list of infinitesimal group actions obeying the principle of symmetric criticality, identify the corresponding invariant metrics (and $l$-chains), discuss relations among them, and analyze simplifications allowed by the residual diffeomorphism group and Noether identities before and after variation of the reduced Lagrangian. We employ rigorous treatment of the symmetry reduction by Fels and Torre and use the H"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.11036","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2410.11036/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":"2410.11036","created_at":"2026-07-05T10:46:38.831771+00:00"},{"alias_kind":"arxiv_version","alias_value":"2410.11036v3","created_at":"2026-07-05T10:46:38.831771+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.11036","created_at":"2026-07-05T10:46:38.831771+00:00"},{"alias_kind":"pith_short_12","alias_value":"P6RVUBJOGGMF","created_at":"2026-07-05T10:46:38.831771+00:00"},{"alias_kind":"pith_short_16","alias_value":"P6RVUBJOGGMFX25A","created_at":"2026-07-05T10:46:38.831771+00:00"},{"alias_kind":"pith_short_8","alias_value":"P6RVUBJO","created_at":"2026-07-05T10:46:38.831771+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":8,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.17784","citing_title":"Quasi-topological gravity for 4-dimensional Taub-NUT, near-horizon extreme Kerr, and swirling symmetries","ref_index":66,"is_internal_anchor":false},{"citing_arxiv_id":"2506.14875","citing_title":"Regular Vaidya solutions of effective gravitational theories","ref_index":45,"is_internal_anchor":false},{"citing_arxiv_id":"2601.17115","citing_title":"Effective geometrodynamics for renormalization-group improved black-hole spacetimes in spherical symmetry","ref_index":89,"is_internal_anchor":false},{"citing_arxiv_id":"2603.06786","citing_title":"All $2D$ generalised dilaton theories from $d\\geq 4$ gravities","ref_index":41,"is_internal_anchor":false},{"citing_arxiv_id":"2604.27980","citing_title":"On mass inflation and thin shells in quasi-topological gravity","ref_index":35,"is_internal_anchor":false},{"citing_arxiv_id":"2604.24101","citing_title":"$g_{tt}g_{rr} =-1$ black hole thermodynamics in extended quasi-topological gravity","ref_index":42,"is_internal_anchor":false},{"citing_arxiv_id":"2605.05311","citing_title":"Canonical quantization of all minisuperspaces with consistent symmetry reductions","ref_index":132,"is_internal_anchor":false},{"citing_arxiv_id":"2605.05311","citing_title":"Canonical quantization of all minisuperspaces with consistent symmetry reductions","ref_index":132,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/P6RVUBJOGGMFX25AY6P7Z4JM6Q","json":"https://pith.science/pith/P6RVUBJOGGMFX25AY6P7Z4JM6Q.json","graph_json":"https://pith.science/api/pith-number/P6RVUBJOGGMFX25AY6P7Z4JM6Q/graph.json","events_json":"https://pith.science/api/pith-number/P6RVUBJOGGMFX25AY6P7Z4JM6Q/events.json","paper":"https://pith.science/paper/P6RVUBJO"},"agent_actions":{"view_html":"https://pith.science/pith/P6RVUBJOGGMFX25AY6P7Z4JM6Q","download_json":"https://pith.science/pith/P6RVUBJOGGMFX25AY6P7Z4JM6Q.json","view_paper":"https://pith.science/paper/P6RVUBJO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2410.11036&json=true","fetch_graph":"https://pith.science/api/pith-number/P6RVUBJOGGMFX25AY6P7Z4JM6Q/graph.json","fetch_events":"https://pith.science/api/pith-number/P6RVUBJOGGMFX25AY6P7Z4JM6Q/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/P6RVUBJOGGMFX25AY6P7Z4JM6Q/action/timestamp_anchor","attest_storage":"https://pith.science/pith/P6RVUBJOGGMFX25AY6P7Z4JM6Q/action/storage_attestation","attest_author":"https://pith.science/pith/P6RVUBJOGGMFX25AY6P7Z4JM6Q/action/author_attestation","sign_citation":"https://pith.science/pith/P6RVUBJOGGMFX25AY6P7Z4JM6Q/action/citation_signature","submit_replication":"https://pith.science/pith/P6RVUBJOGGMFX25AY6P7Z4JM6Q/action/replication_record"}},"created_at":"2026-07-05T10:46:38.831771+00:00","updated_at":"2026-07-05T10:46:38.831771+00:00"}