{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:AVORRE546SPBGEJR62WCQBW2SW","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":"9c9d41867194d3e2d5e047a2b93b68e1a86e2469f834afab7a52e810c29af16d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-01-27T12:40:28Z","title_canon_sha256":"d0488a6c211f5b70cf66d70573cc95b517cf8d20e0eaacd769586983e2bb2750"},"schema_version":"1.0","source":{"id":"1101.5268","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.5268","created_at":"2026-05-18T04:01:39Z"},{"alias_kind":"arxiv_version","alias_value":"1101.5268v3","created_at":"2026-05-18T04:01:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.5268","created_at":"2026-05-18T04:01:39Z"},{"alias_kind":"pith_short_12","alias_value":"AVORRE546SPB","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"AVORRE546SPBGEJR","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"AVORRE54","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:b93aeacbdeb8e86e223a3e9a734f533417958f505e4e29d32a4a74c8b6be5d7b","target":"graph","created_at":"2026-05-18T04:01:39Z","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":"This paper deals with regularity theory for two-phase free boundary variational problems ruled by degenerate elliptic operators.","authors_text":"Eduardo V. Teixeira, Olivaine S. de Queiroz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-01-27T12:40:28Z","title":"Regularity for degenerate two-phase free boundary elliptic problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.5268","kind":"arxiv","version":3},"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":"sha256:732b9a4e4b8c7e3285f2c38b348181a5683738746850b6fdfd739322d569ea2d","target":"record","created_at":"2026-05-18T04:01:39Z","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":"9c9d41867194d3e2d5e047a2b93b68e1a86e2469f834afab7a52e810c29af16d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-01-27T12:40:28Z","title_canon_sha256":"d0488a6c211f5b70cf66d70573cc95b517cf8d20e0eaacd769586983e2bb2750"},"schema_version":"1.0","source":{"id":"1101.5268","kind":"arxiv","version":3}},"canonical_sha256":"055d1893bcf49e131131f6ac2806da95b6462b29b20f11332cb6fd5078960669","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"055d1893bcf49e131131f6ac2806da95b6462b29b20f11332cb6fd5078960669","first_computed_at":"2026-05-18T04:01:39.728489Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:01:39.728489Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Nq/NsBpVkyBDcsYucSgVKPxJ3KqCO344UQYeA+iM5jQzkdMoeiPuu0UaPfwKxeKmpuoLCmFP8+6UFbASgFxqBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:01:39.729167Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.5268","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:732b9a4e4b8c7e3285f2c38b348181a5683738746850b6fdfd739322d569ea2d","sha256:b93aeacbdeb8e86e223a3e9a734f533417958f505e4e29d32a4a74c8b6be5d7b"],"state_sha256":"bdb6d70e8d26b168672efef6854a76e54b935ce51478c5f6fd494cb7ea01018b"}