{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:2XWYGUCB2HJLLV3YRLUVLAEQR4","short_pith_number":"pith:2XWYGUCB","schema_version":"1.0","canonical_sha256":"d5ed835041d1d2b5d7788ae95580908f34b28dac30e24996d243a0bbaa87d8b1","source":{"kind":"arxiv","id":"1106.6041","version":1},"attestation_state":"computed","paper":{"title":"Addendum to: \"Lifting smooth curves over invariants for representations of compact Lie groups, III\" [J. Lie Theory 16 (2006), No. 3, 579-600.]","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.RT","authors_text":"Andreas Kriegl, Armin Rainer, Mark Losik, Peter W. Michor","submitted_at":"2011-06-28T14:58:51Z","abstract_excerpt":"We improve the main results in the paper from the title using a recent refinement of Bronshtein's theorem due to Colombini, Orr\\'u, and Pernazza. They are then in general best possible both in the hypothesis and in the outcome. As a consequence we obtain a result on lifting smooth mappings in several variables."},"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":"1106.6041","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-06-28T14:58:51Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"89941df84d95947585ee11b3e2c6d25588abb95f743a4a0df3f14318f1a8050e","abstract_canon_sha256":"f8a84a140915f8e00c8a21320012a2e6c921ffa503674fd670732affcd04c213"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:00:01.213776Z","signature_b64":"jah7b1WyxQftoFRfOWbX0muOJQnQK4bk1itrrUMfJIy63X25yeknG4lTXUFIrQ3fJJ2pe/MtsWP9oQ6g0dxtBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d5ed835041d1d2b5d7788ae95580908f34b28dac30e24996d243a0bbaa87d8b1","last_reissued_at":"2026-05-18T04:00:01.213157Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:00:01.213157Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Addendum to: \"Lifting smooth curves over invariants for representations of compact Lie groups, III\" [J. Lie Theory 16 (2006), No. 3, 579-600.]","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.RT","authors_text":"Andreas Kriegl, Armin Rainer, Mark Losik, Peter W. Michor","submitted_at":"2011-06-28T14:58:51Z","abstract_excerpt":"We improve the main results in the paper from the title using a recent refinement of Bronshtein's theorem due to Colombini, Orr\\'u, and Pernazza. They are then in general best possible both in the hypothesis and in the outcome. As a consequence we obtain a result on lifting smooth mappings in several variables."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.6041","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":"1106.6041","created_at":"2026-05-18T04:00:01.213237+00:00"},{"alias_kind":"arxiv_version","alias_value":"1106.6041v1","created_at":"2026-05-18T04:00:01.213237+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.6041","created_at":"2026-05-18T04:00:01.213237+00:00"},{"alias_kind":"pith_short_12","alias_value":"2XWYGUCB2HJL","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_16","alias_value":"2XWYGUCB2HJLLV3Y","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_8","alias_value":"2XWYGUCB","created_at":"2026-05-18T12:26:18.847500+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/2XWYGUCB2HJLLV3YRLUVLAEQR4","json":"https://pith.science/pith/2XWYGUCB2HJLLV3YRLUVLAEQR4.json","graph_json":"https://pith.science/api/pith-number/2XWYGUCB2HJLLV3YRLUVLAEQR4/graph.json","events_json":"https://pith.science/api/pith-number/2XWYGUCB2HJLLV3YRLUVLAEQR4/events.json","paper":"https://pith.science/paper/2XWYGUCB"},"agent_actions":{"view_html":"https://pith.science/pith/2XWYGUCB2HJLLV3YRLUVLAEQR4","download_json":"https://pith.science/pith/2XWYGUCB2HJLLV3YRLUVLAEQR4.json","view_paper":"https://pith.science/paper/2XWYGUCB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1106.6041&json=true","fetch_graph":"https://pith.science/api/pith-number/2XWYGUCB2HJLLV3YRLUVLAEQR4/graph.json","fetch_events":"https://pith.science/api/pith-number/2XWYGUCB2HJLLV3YRLUVLAEQR4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2XWYGUCB2HJLLV3YRLUVLAEQR4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2XWYGUCB2HJLLV3YRLUVLAEQR4/action/storage_attestation","attest_author":"https://pith.science/pith/2XWYGUCB2HJLLV3YRLUVLAEQR4/action/author_attestation","sign_citation":"https://pith.science/pith/2XWYGUCB2HJLLV3YRLUVLAEQR4/action/citation_signature","submit_replication":"https://pith.science/pith/2XWYGUCB2HJLLV3YRLUVLAEQR4/action/replication_record"}},"created_at":"2026-05-18T04:00:01.213237+00:00","updated_at":"2026-05-18T04:00:01.213237+00:00"}