{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:JSUQBE3KV36KAVCCGMJCVSBIZU","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":"eb4ccdc6a1af48a08aa452668b276ca2c13c6b6b2e34db155e1e5695754a09cf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-03-31T06:54:34Z","title_canon_sha256":"91989b5a8ce06e440408950e908a49e30c530dc7526f755d60dd8fc45eba32c8"},"schema_version":"1.0","source":{"id":"1103.6100","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.6100","created_at":"2026-05-18T04:25:25Z"},{"alias_kind":"arxiv_version","alias_value":"1103.6100v1","created_at":"2026-05-18T04:25:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.6100","created_at":"2026-05-18T04:25:25Z"},{"alias_kind":"pith_short_12","alias_value":"JSUQBE3KV36K","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"JSUQBE3KV36KAVCC","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"JSUQBE3K","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:678ad329f49b3a51ba29352723019b7a2f5970647c72a695fcaff7fab424829c","target":"graph","created_at":"2026-05-18T04:25:25Z","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":"In this paper we study a Dirichlet problem for an elliptic equation with degenerate coercivity and a singular lower order term with natural growth with respect to the gradient. We will show that, even if the lower order term is singular, it has some regularizing effects on the solutions","authors_text":"Gisella Croce (LMAH)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-03-31T06:54:34Z","title":"An elliptic problem with degenerate coercivity and a singular quadratic gradient lower order term"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.6100","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":"sha256:3409056b728fcd653691071eb7342fd5c2e868d87c3f16ae2f6f6734c2cadefb","target":"record","created_at":"2026-05-18T04:25:25Z","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":"eb4ccdc6a1af48a08aa452668b276ca2c13c6b6b2e34db155e1e5695754a09cf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-03-31T06:54:34Z","title_canon_sha256":"91989b5a8ce06e440408950e908a49e30c530dc7526f755d60dd8fc45eba32c8"},"schema_version":"1.0","source":{"id":"1103.6100","kind":"arxiv","version":1}},"canonical_sha256":"4ca900936aaefca0544233122ac828cd15b0ab9c1e5b2fb1e5656ec4f0cb5f4f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4ca900936aaefca0544233122ac828cd15b0ab9c1e5b2fb1e5656ec4f0cb5f4f","first_computed_at":"2026-05-18T04:25:25.167344Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:25:25.167344Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jMKRrWINhLSTX4DAKWcF+tNAbbqxC6QPF0w/aDFXi0vtEMhuPjaiuVyIFX2EacoW9wPStvNIw+TuMP96Q07gBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:25:25.168163Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.6100","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3409056b728fcd653691071eb7342fd5c2e868d87c3f16ae2f6f6734c2cadefb","sha256:678ad329f49b3a51ba29352723019b7a2f5970647c72a695fcaff7fab424829c"],"state_sha256":"a38b06d6ed76a1a29c9a59ba21d8c0b269da935cff0e9994177dbd0bdbd8b008"}