{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:QEIVE7XKTCR2DPLMJFIP5POG7D","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"59ca14643d9efad558fe98f96cf114958afa09df02e95656cc5c697c994b2bb3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-08-07T01:59:39Z","title_canon_sha256":"128ca9c82c055cbfb7c1dee0fbbc69f2f92ac8eb1ac4c3898f26de0b3d0e9505"},"schema_version":"1.0","source":{"id":"1208.1322","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.1322","created_at":"2026-05-18T03:49:19Z"},{"alias_kind":"arxiv_version","alias_value":"1208.1322v1","created_at":"2026-05-18T03:49:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.1322","created_at":"2026-05-18T03:49:19Z"},{"alias_kind":"pith_short_12","alias_value":"QEIVE7XKTCR2","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"QEIVE7XKTCR2DPLM","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"QEIVE7XK","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:8eee987b558d324c11ec4654e11d85cc071abb567ce47611946c56014c2778a6","target":"graph","created_at":"2026-05-18T03:49:19Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Based on ideas of L. Al\\'ias, D. Impera and M. Rigoli developed in \"Hypersurfaces of constant higher order mean curvature in warped products\", we develope a fairly general weak/Omori-Yau maximum principle for trace operators. We apply this version of maximum principle to generalize several higher order mean curvature estimates and to give an extension of Alias-Impera-Rigoli Slice Theorem","authors_text":"G. Pacelli Bessa, Leandro F. Pessoa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-08-07T01:59:39Z","title":"Maximum principle for semi-elliptic trace operators and geometric applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.1322","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:0a65d595614907755855dd9adbca54eba57425cd9038fbd6b99c76722a8e6ff7","target":"record","created_at":"2026-05-18T03:49:19Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"59ca14643d9efad558fe98f96cf114958afa09df02e95656cc5c697c994b2bb3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-08-07T01:59:39Z","title_canon_sha256":"128ca9c82c055cbfb7c1dee0fbbc69f2f92ac8eb1ac4c3898f26de0b3d0e9505"},"schema_version":"1.0","source":{"id":"1208.1322","kind":"arxiv","version":1}},"canonical_sha256":"8111527eea98a3a1bd6c4950febdc6f8eee20e5b9f66c84f15f882125da915fc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8111527eea98a3a1bd6c4950febdc6f8eee20e5b9f66c84f15f882125da915fc","first_computed_at":"2026-05-18T03:49:19.359436Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:49:19.359436Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rS6XkyDqDs+xaP3QKc5gBe32LinT/d4rseXLj6JoQ0G0kVtxS7Fl5H8YGftolcD5TZUbOanCnrwXPE0M/wtvDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:49:19.359859Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.1322","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0a65d595614907755855dd9adbca54eba57425cd9038fbd6b99c76722a8e6ff7","sha256:8eee987b558d324c11ec4654e11d85cc071abb567ce47611946c56014c2778a6"],"state_sha256":"d734209d6445a6a4c0ced83f31091f912cec33aecd927a491d485105c79d6ebd"}