{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:TJEAF5L7Z2COGFLDQ5D6JTFU2I","short_pith_number":"pith:TJEAF5L7","schema_version":"1.0","canonical_sha256":"9a4802f57fce84e315638747e4ccb4d217c3ccf1c09322c1d2ce3d1a3b326201","source":{"kind":"arxiv","id":"1406.2302","version":2},"attestation_state":"computed","paper":{"title":"Quasihomogeneous three-dimensional real analytic Lorentz metrics do not exist","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Karin Melnick, Sorin Dumitrescu","submitted_at":"2014-06-09T19:55:46Z","abstract_excerpt":"We show that a germ of a real analytic Lorentz metric on ${\\bf R}^3$ which is locally homogeneous on an open set containing the origin in its closure is necessarily locally homogeneous. We classifiy Lie algebras that can act quasihomogeneously---meaning they act transitively on an open set admitting the origin in its closure, but not at the origin---and isometrically for such a metric. In the case that the isotropy at the origin of a quasihomogeneous action is semisimple, we provide a complete set of normal forms of the metric and the action."},"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":"1406.2302","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-06-09T19:55:46Z","cross_cats_sorted":[],"title_canon_sha256":"c6d22d3409a3e87e5aa167a3b821ede6593d75da7dbee8a27f6e218ff756e28c","abstract_canon_sha256":"a0b9fcc0ce71020f2dd37d197dc50c714d02229da7c15025c9f949527c384412"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:03:45.349536Z","signature_b64":"UJb1VEPqLsjMKuhnKX9xpVOhky9ClBi4KbiMxCxf9gUwM8phbj8htLvYS4VI98ptQHZ/mrOvuBJOU+J0RUm6Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9a4802f57fce84e315638747e4ccb4d217c3ccf1c09322c1d2ce3d1a3b326201","last_reissued_at":"2026-05-18T02:03:45.348849Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:03:45.348849Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quasihomogeneous three-dimensional real analytic Lorentz metrics do not exist","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Karin Melnick, Sorin Dumitrescu","submitted_at":"2014-06-09T19:55:46Z","abstract_excerpt":"We show that a germ of a real analytic Lorentz metric on ${\\bf R}^3$ which is locally homogeneous on an open set containing the origin in its closure is necessarily locally homogeneous. We classifiy Lie algebras that can act quasihomogeneously---meaning they act transitively on an open set admitting the origin in its closure, but not at the origin---and isometrically for such a metric. In the case that the isotropy at the origin of a quasihomogeneous action is semisimple, we provide a complete set of normal forms of the metric and the action."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.2302","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":"1406.2302","created_at":"2026-05-18T02:03:45.348987+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.2302v2","created_at":"2026-05-18T02:03:45.348987+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.2302","created_at":"2026-05-18T02:03:45.348987+00:00"},{"alias_kind":"pith_short_12","alias_value":"TJEAF5L7Z2CO","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_16","alias_value":"TJEAF5L7Z2COGFLD","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_8","alias_value":"TJEAF5L7","created_at":"2026-05-18T12:28:49.207871+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/TJEAF5L7Z2COGFLDQ5D6JTFU2I","json":"https://pith.science/pith/TJEAF5L7Z2COGFLDQ5D6JTFU2I.json","graph_json":"https://pith.science/api/pith-number/TJEAF5L7Z2COGFLDQ5D6JTFU2I/graph.json","events_json":"https://pith.science/api/pith-number/TJEAF5L7Z2COGFLDQ5D6JTFU2I/events.json","paper":"https://pith.science/paper/TJEAF5L7"},"agent_actions":{"view_html":"https://pith.science/pith/TJEAF5L7Z2COGFLDQ5D6JTFU2I","download_json":"https://pith.science/pith/TJEAF5L7Z2COGFLDQ5D6JTFU2I.json","view_paper":"https://pith.science/paper/TJEAF5L7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.2302&json=true","fetch_graph":"https://pith.science/api/pith-number/TJEAF5L7Z2COGFLDQ5D6JTFU2I/graph.json","fetch_events":"https://pith.science/api/pith-number/TJEAF5L7Z2COGFLDQ5D6JTFU2I/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TJEAF5L7Z2COGFLDQ5D6JTFU2I/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TJEAF5L7Z2COGFLDQ5D6JTFU2I/action/storage_attestation","attest_author":"https://pith.science/pith/TJEAF5L7Z2COGFLDQ5D6JTFU2I/action/author_attestation","sign_citation":"https://pith.science/pith/TJEAF5L7Z2COGFLDQ5D6JTFU2I/action/citation_signature","submit_replication":"https://pith.science/pith/TJEAF5L7Z2COGFLDQ5D6JTFU2I/action/replication_record"}},"created_at":"2026-05-18T02:03:45.348987+00:00","updated_at":"2026-05-18T02:03:45.348987+00:00"}