{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:RC36KV7TD3U6QGHP6HGDSEF634","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":"28b3d1645d53a181c704078f14581d4727c4f928b37426113c16643be1b0fe3b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-03-29T08:21:33Z","title_canon_sha256":"7257856d0c5318f3a59afd84f90b8e969c6802b172c298d6069a2604764ee7ff"},"schema_version":"1.0","source":{"id":"1003.5452","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.5452","created_at":"2026-05-18T04:39:00Z"},{"alias_kind":"arxiv_version","alias_value":"1003.5452v2","created_at":"2026-05-18T04:39:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.5452","created_at":"2026-05-18T04:39:00Z"},{"alias_kind":"pith_short_12","alias_value":"RC36KV7TD3U6","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"RC36KV7TD3U6QGHP","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"RC36KV7T","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:0566b5515ef0ed4f06c9dbae0f2df3c1435ee7a0a208ac16f58d8dffd60e95bf","target":"graph","created_at":"2026-05-18T04:39:00Z","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":"We study positive Liouville theorems and the asymptotic behavior of positive solutions of p-Laplacian type elliptic equations of the form Q'(u):= - pLaplace(u) + V |u|^{p-2} u = 0 in X, where X is a domain in R^d, d > 1, and 1<p<infty. We assume that the potential V has a Fuchsian type singularity at a point zeta, where either zeta=infty and X is a truncated C^2-cone, or zeta=0 and zeta is either an isolated point of a boundary of X or belongs to a C^2-portion of the boundary of X.","authors_text":"Martin Fraas, Yehuda Pinchover","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-03-29T08:21:33Z","title":"Positive Liouville theorems and asymptotic behavior for p-Laplacian type elliptic equations with a Fuchsian potential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.5452","kind":"arxiv","version":2},"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":"sha256:08bc68be77c59f7a072fc397f70e5b791619759f60011a4159efedb0f11afc3c","target":"record","created_at":"2026-05-18T04:39:00Z","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":"28b3d1645d53a181c704078f14581d4727c4f928b37426113c16643be1b0fe3b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-03-29T08:21:33Z","title_canon_sha256":"7257856d0c5318f3a59afd84f90b8e969c6802b172c298d6069a2604764ee7ff"},"schema_version":"1.0","source":{"id":"1003.5452","kind":"arxiv","version":2}},"canonical_sha256":"88b7e557f31ee9e818eff1cc3910bedf2056db65b1efb1d4e794faa1d9c1690a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"88b7e557f31ee9e818eff1cc3910bedf2056db65b1efb1d4e794faa1d9c1690a","first_computed_at":"2026-05-18T04:39:00.110332Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:39:00.110332Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/9VD5PxTfVlHrz3iptgysGHt6ozneIq1tu15l8RbvMpdWQLcNwqigJbj4taXxcQgY25rg8MZB8dKAMFRrwJHAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:39:00.110844Z","signed_message":"canonical_sha256_bytes"},"source_id":"1003.5452","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:08bc68be77c59f7a072fc397f70e5b791619759f60011a4159efedb0f11afc3c","sha256:0566b5515ef0ed4f06c9dbae0f2df3c1435ee7a0a208ac16f58d8dffd60e95bf"],"state_sha256":"43d93b380bd8b4908f975dc998861e992ed4201d4c516617e72f2c076b20d2e6"}