{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:6FR6UEV7DENKVWXJCXB5VPZZ2Y","short_pith_number":"pith:6FR6UEV7","schema_version":"1.0","canonical_sha256":"f163ea12bf191aaadae915c3dabf39d638e7de9039a54f56dfaab9299ee9bec1","source":{"kind":"arxiv","id":"1808.03723","version":2},"attestation_state":"computed","paper":{"title":"Symmetries of first-order Lovelock gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Bogar D\\'iaz, Merced Montesinos, Rodrigo Romero","submitted_at":"2018-08-10T22:20:42Z","abstract_excerpt":"We apply the converse of Noether's second theorem to the first-order $n$-dimensional Lovelock action, considering the frame rotation group as both $SO\\left(1,n-1\\right)$ or as $SO(n)$. As a result, we get the well-known invariance under local Lorentz transformations or $SO(n)$ transformations and diffeomorphisms, for odd- and even-dimensional manifolds. We also obtain the so-called `local translations' with nonvanishing constant $\\Lambda$ for odd-dimensional manifolds when a certain relation among the coefficients of the various terms of the first-order Lovelock Lagrangian is satisfied. When t"},"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":"1808.03723","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-08-10T22:20:42Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"799d036e473bfb5f18f1be9f697bd1c98d7b47375a3ec90f9145ac496287fabc","abstract_canon_sha256":"8622fb17fff24756fdf4126c6e6902618d64ddde416577c46401ac6606aa000a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:34.907781Z","signature_b64":"QmLcxj39Eh6tmsyq7kLYXgZzBCxrmZIa3A0Rjp/OmSJFDzEfIarLU7HPGETKssAOhFqUKx9yXidTWpqTD0VcBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f163ea12bf191aaadae915c3dabf39d638e7de9039a54f56dfaab9299ee9bec1","last_reissued_at":"2026-05-18T00:00:34.907259Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:34.907259Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Symmetries of first-order Lovelock gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Bogar D\\'iaz, Merced Montesinos, Rodrigo Romero","submitted_at":"2018-08-10T22:20:42Z","abstract_excerpt":"We apply the converse of Noether's second theorem to the first-order $n$-dimensional Lovelock action, considering the frame rotation group as both $SO\\left(1,n-1\\right)$ or as $SO(n)$. As a result, we get the well-known invariance under local Lorentz transformations or $SO(n)$ transformations and diffeomorphisms, for odd- and even-dimensional manifolds. We also obtain the so-called `local translations' with nonvanishing constant $\\Lambda$ for odd-dimensional manifolds when a certain relation among the coefficients of the various terms of the first-order Lovelock Lagrangian is satisfied. When t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.03723","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":"1808.03723","created_at":"2026-05-18T00:00:34.907352+00:00"},{"alias_kind":"arxiv_version","alias_value":"1808.03723v2","created_at":"2026-05-18T00:00:34.907352+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.03723","created_at":"2026-05-18T00:00:34.907352+00:00"},{"alias_kind":"pith_short_12","alias_value":"6FR6UEV7DENK","created_at":"2026-05-18T12:32:08.215937+00:00"},{"alias_kind":"pith_short_16","alias_value":"6FR6UEV7DENKVWXJ","created_at":"2026-05-18T12:32:08.215937+00:00"},{"alias_kind":"pith_short_8","alias_value":"6FR6UEV7","created_at":"2026-05-18T12:32:08.215937+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6FR6UEV7DENKVWXJCXB5VPZZ2Y","json":"https://pith.science/pith/6FR6UEV7DENKVWXJCXB5VPZZ2Y.json","graph_json":"https://pith.science/api/pith-number/6FR6UEV7DENKVWXJCXB5VPZZ2Y/graph.json","events_json":"https://pith.science/api/pith-number/6FR6UEV7DENKVWXJCXB5VPZZ2Y/events.json","paper":"https://pith.science/paper/6FR6UEV7"},"agent_actions":{"view_html":"https://pith.science/pith/6FR6UEV7DENKVWXJCXB5VPZZ2Y","download_json":"https://pith.science/pith/6FR6UEV7DENKVWXJCXB5VPZZ2Y.json","view_paper":"https://pith.science/paper/6FR6UEV7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1808.03723&json=true","fetch_graph":"https://pith.science/api/pith-number/6FR6UEV7DENKVWXJCXB5VPZZ2Y/graph.json","fetch_events":"https://pith.science/api/pith-number/6FR6UEV7DENKVWXJCXB5VPZZ2Y/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6FR6UEV7DENKVWXJCXB5VPZZ2Y/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6FR6UEV7DENKVWXJCXB5VPZZ2Y/action/storage_attestation","attest_author":"https://pith.science/pith/6FR6UEV7DENKVWXJCXB5VPZZ2Y/action/author_attestation","sign_citation":"https://pith.science/pith/6FR6UEV7DENKVWXJCXB5VPZZ2Y/action/citation_signature","submit_replication":"https://pith.science/pith/6FR6UEV7DENKVWXJCXB5VPZZ2Y/action/replication_record"}},"created_at":"2026-05-18T00:00:34.907352+00:00","updated_at":"2026-05-18T00:00:34.907352+00:00"}