{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:LGE6E57PJPZSTNFBN6O4XUYYI7","short_pith_number":"pith:LGE6E57P","schema_version":"1.0","canonical_sha256":"5989e277ef4bf329b4a16f9dcbd31847dd7b9a02e3ce3e7cdfbdf953626eb414","source":{"kind":"arxiv","id":"1909.01847","version":2},"attestation_state":"computed","paper":{"title":"A Classification Of Cohomogeneity One Actions On The Minkowski Space $\\mathbb{R}^{3,1}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"M. Hassani, P. Ahmadi, S. Safari","submitted_at":"2019-09-04T14:47:14Z","abstract_excerpt":"The aim of this paper is to classify cohomogeneity one isometric actions on the 4-dimensional Minkowski space $\\mathbb{R}^{3,1}$, up to orbit equivalence. Representations, up to conjugacy, of the acting groups in $O(3,1)\\ltimes \\mathbb{R}^{3,1}$ are given in both cases, proper and non-proper actions. When the action is proper, the orbits and the orbit spaces are determined."},"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":"1909.01847","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-09-04T14:47:14Z","cross_cats_sorted":[],"title_canon_sha256":"b5d9691a8de5fd0ed61665b3cc575b965228d380e98e50f473b52434132639b3","abstract_canon_sha256":"f6574752609b88366da1cfdbb2a7856a1b3c4264e0883a71bbe1bcb3c669c7fc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:04:39.239170Z","signature_b64":"Yf+PCBx/6sKRiTzZlKoLMIPTFZY7IQowUVQems9dNCGWsNZjWRxSHqQAh7gwn2A3KBMzL79WpmWldT0W6hiHCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5989e277ef4bf329b4a16f9dcbd31847dd7b9a02e3ce3e7cdfbdf953626eb414","last_reissued_at":"2026-07-05T02:04:39.238739Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:04:39.238739Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Classification Of Cohomogeneity One Actions On The Minkowski Space $\\mathbb{R}^{3,1}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"M. Hassani, P. Ahmadi, S. Safari","submitted_at":"2019-09-04T14:47:14Z","abstract_excerpt":"The aim of this paper is to classify cohomogeneity one isometric actions on the 4-dimensional Minkowski space $\\mathbb{R}^{3,1}$, up to orbit equivalence. Representations, up to conjugacy, of the acting groups in $O(3,1)\\ltimes \\mathbb{R}^{3,1}$ are given in both cases, proper and non-proper actions. When the action is proper, the orbits and the orbit spaces are determined."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1909.01847","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1909.01847/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":"1909.01847","created_at":"2026-07-05T02:04:39.238807+00:00"},{"alias_kind":"arxiv_version","alias_value":"1909.01847v2","created_at":"2026-07-05T02:04:39.238807+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1909.01847","created_at":"2026-07-05T02:04:39.238807+00:00"},{"alias_kind":"pith_short_12","alias_value":"LGE6E57PJPZS","created_at":"2026-07-05T02:04:39.238807+00:00"},{"alias_kind":"pith_short_16","alias_value":"LGE6E57PJPZSTNFB","created_at":"2026-07-05T02:04:39.238807+00:00"},{"alias_kind":"pith_short_8","alias_value":"LGE6E57P","created_at":"2026-07-05T02:04:39.238807+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/LGE6E57PJPZSTNFBN6O4XUYYI7","json":"https://pith.science/pith/LGE6E57PJPZSTNFBN6O4XUYYI7.json","graph_json":"https://pith.science/api/pith-number/LGE6E57PJPZSTNFBN6O4XUYYI7/graph.json","events_json":"https://pith.science/api/pith-number/LGE6E57PJPZSTNFBN6O4XUYYI7/events.json","paper":"https://pith.science/paper/LGE6E57P"},"agent_actions":{"view_html":"https://pith.science/pith/LGE6E57PJPZSTNFBN6O4XUYYI7","download_json":"https://pith.science/pith/LGE6E57PJPZSTNFBN6O4XUYYI7.json","view_paper":"https://pith.science/paper/LGE6E57P","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1909.01847&json=true","fetch_graph":"https://pith.science/api/pith-number/LGE6E57PJPZSTNFBN6O4XUYYI7/graph.json","fetch_events":"https://pith.science/api/pith-number/LGE6E57PJPZSTNFBN6O4XUYYI7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LGE6E57PJPZSTNFBN6O4XUYYI7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LGE6E57PJPZSTNFBN6O4XUYYI7/action/storage_attestation","attest_author":"https://pith.science/pith/LGE6E57PJPZSTNFBN6O4XUYYI7/action/author_attestation","sign_citation":"https://pith.science/pith/LGE6E57PJPZSTNFBN6O4XUYYI7/action/citation_signature","submit_replication":"https://pith.science/pith/LGE6E57PJPZSTNFBN6O4XUYYI7/action/replication_record"}},"created_at":"2026-07-05T02:04:39.238807+00:00","updated_at":"2026-07-05T02:04:39.238807+00:00"}