{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:VDZ7TC2WQNEYW33RG2WIAIUZ3X","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":"6ea8c46d50b90cfc4f836924cf47e1cbd580c1b4c323d0b2ce49e3f3bf2f6738","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2017-05-29T10:58:08Z","title_canon_sha256":"64421be589d225aa5cf3bb19d36784f3f8453b7e6a87c61abf858e4c05b067ac"},"schema_version":"1.0","source":{"id":"1705.10115","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.10115","created_at":"2026-05-18T00:43:31Z"},{"alias_kind":"arxiv_version","alias_value":"1705.10115v1","created_at":"2026-05-18T00:43:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.10115","created_at":"2026-05-18T00:43:31Z"},{"alias_kind":"pith_short_12","alias_value":"VDZ7TC2WQNEY","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VDZ7TC2WQNEYW33R","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VDZ7TC2W","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:d75d57f0913bf7ac3b734c8f20312c9fbfc476ab8e2273c340c38904917eb2de","target":"graph","created_at":"2026-05-18T00:43:31Z","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 investigate the decidability and computational complexity of (deductive) conservative extensions in fragments of first-order logic (FO), with a focus on the two-variable fragment FO$^2$ and the guarded fragment GF. We prove that conservative extensions are undecidable in any FO fragment that contains FO$^2$ or GF (even the three-variable fragment thereof), and that they are decidable and 2\\ExpTime-complete in the intersection GF$^2$ of FO$^2$ and GF.","authors_text":"Carsten Lutz, Frank Wolter, Jean Christoph Jung, Mauricio Martel, Thomas Schneider","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2017-05-29T10:58:08Z","title":"Conservative Extensions in Guarded and Two-Variable Fragments"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.10115","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":"sha256:9103c7ef3411bd4ebe90c19b1b4a6cb39c717777630f1cd167feaaf613d6bcd0","target":"record","created_at":"2026-05-18T00:43:31Z","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":"6ea8c46d50b90cfc4f836924cf47e1cbd580c1b4c323d0b2ce49e3f3bf2f6738","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2017-05-29T10:58:08Z","title_canon_sha256":"64421be589d225aa5cf3bb19d36784f3f8453b7e6a87c61abf858e4c05b067ac"},"schema_version":"1.0","source":{"id":"1705.10115","kind":"arxiv","version":1}},"canonical_sha256":"a8f3f98b5683498b6f7136ac802299ddf0db780f5548dca219017bace6760b72","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a8f3f98b5683498b6f7136ac802299ddf0db780f5548dca219017bace6760b72","first_computed_at":"2026-05-18T00:43:31.935782Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:31.935782Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"15Fsx9LP2Tro/Mcda1W9SNIm4qjkMfkE52njCKRMrVf1+jhTmEzPCm5yzF23qgYKpF2TRXx3yXx8tnCL0lJlBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:31.936356Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.10115","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9103c7ef3411bd4ebe90c19b1b4a6cb39c717777630f1cd167feaaf613d6bcd0","sha256:d75d57f0913bf7ac3b734c8f20312c9fbfc476ab8e2273c340c38904917eb2de"],"state_sha256":"1f38cde814eaf0bce81e35ebcf751de93cbbc7d4ae56b7098cf8f442b4a19f8d"}