{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:WDYPZOGGUTKNEOEAWIEVKWZYVF","short_pith_number":"pith:WDYPZOGG","schema_version":"1.0","canonical_sha256":"b0f0fcb8c6a4d4d23880b209555b38a97d37e930c1c7c6e112a9df51445d6a6e","source":{"kind":"arxiv","id":"1003.2373","version":1},"attestation_state":"computed","paper":{"title":"Lorentzian manifolds and scalar curvature invariants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Alan Coley, Nicos Pelavas, Sigbjorn Hervik","submitted_at":"2010-03-11T17:50:54Z","abstract_excerpt":"We discuss (arbitrary-dimensional) Lorentzian manifolds and the scalar polynomial curvature invariants constructed from the Riemann tensor and its covariant derivatives. Recently, we have shown that in four dimensions a Lorentzian spacetime metric is either $\\mathcal{I}$-non-degenerate, and hence locally characterized by its scalar polynomial curvature invariants, or is a  degenerate Kundt spacetime. We present a number of results that generalize these  results to higher dimensions and discuss their consequences and potential physical applications."},"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":"1003.2373","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-03-11T17:50:54Z","cross_cats_sorted":[],"title_canon_sha256":"870d68d9182c3b3817ce7c8ec26c423199b2417db339e1c1ccf9663d6a26f6a3","abstract_canon_sha256":"e08a6d15f963e27dbd7d80fe18f0d1988c47cd755c699637f05858952e521e9f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:41.190984Z","signature_b64":"DnCVBXKFo+BaPd2h+qij5ImPoIuB7mCTwl5uober5mzJ+uE9KcitHwrhApwilL4kMwZdgROtxoEncuc8acTmBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b0f0fcb8c6a4d4d23880b209555b38a97d37e930c1c7c6e112a9df51445d6a6e","last_reissued_at":"2026-05-18T02:33:41.190582Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:41.190582Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lorentzian manifolds and scalar curvature invariants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Alan Coley, Nicos Pelavas, Sigbjorn Hervik","submitted_at":"2010-03-11T17:50:54Z","abstract_excerpt":"We discuss (arbitrary-dimensional) Lorentzian manifolds and the scalar polynomial curvature invariants constructed from the Riemann tensor and its covariant derivatives. Recently, we have shown that in four dimensions a Lorentzian spacetime metric is either $\\mathcal{I}$-non-degenerate, and hence locally characterized by its scalar polynomial curvature invariants, or is a  degenerate Kundt spacetime. We present a number of results that generalize these  results to higher dimensions and discuss their consequences and potential physical applications."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.2373","kind":"arxiv","version":1},"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":"1003.2373","created_at":"2026-05-18T02:33:41.190640+00:00"},{"alias_kind":"arxiv_version","alias_value":"1003.2373v1","created_at":"2026-05-18T02:33:41.190640+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.2373","created_at":"2026-05-18T02:33:41.190640+00:00"},{"alias_kind":"pith_short_12","alias_value":"WDYPZOGGUTKN","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_16","alias_value":"WDYPZOGGUTKNEOEA","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_8","alias_value":"WDYPZOGG","created_at":"2026-05-18T12:26:15.391820+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1907.08957","citing_title":"Locally Boost Isotropic Spacetimes and the Type ${\\bf D}^k$ Condition","ref_index":14,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/WDYPZOGGUTKNEOEAWIEVKWZYVF","json":"https://pith.science/pith/WDYPZOGGUTKNEOEAWIEVKWZYVF.json","graph_json":"https://pith.science/api/pith-number/WDYPZOGGUTKNEOEAWIEVKWZYVF/graph.json","events_json":"https://pith.science/api/pith-number/WDYPZOGGUTKNEOEAWIEVKWZYVF/events.json","paper":"https://pith.science/paper/WDYPZOGG"},"agent_actions":{"view_html":"https://pith.science/pith/WDYPZOGGUTKNEOEAWIEVKWZYVF","download_json":"https://pith.science/pith/WDYPZOGGUTKNEOEAWIEVKWZYVF.json","view_paper":"https://pith.science/paper/WDYPZOGG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1003.2373&json=true","fetch_graph":"https://pith.science/api/pith-number/WDYPZOGGUTKNEOEAWIEVKWZYVF/graph.json","fetch_events":"https://pith.science/api/pith-number/WDYPZOGGUTKNEOEAWIEVKWZYVF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WDYPZOGGUTKNEOEAWIEVKWZYVF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WDYPZOGGUTKNEOEAWIEVKWZYVF/action/storage_attestation","attest_author":"https://pith.science/pith/WDYPZOGGUTKNEOEAWIEVKWZYVF/action/author_attestation","sign_citation":"https://pith.science/pith/WDYPZOGGUTKNEOEAWIEVKWZYVF/action/citation_signature","submit_replication":"https://pith.science/pith/WDYPZOGGUTKNEOEAWIEVKWZYVF/action/replication_record"}},"created_at":"2026-05-18T02:33:41.190640+00:00","updated_at":"2026-05-18T02:33:41.190640+00:00"}