{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:YUSZU2LM27YHABVQ3WGKRWTYGE","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":"841f0431fc5d57fb50bc966193654d7dfc679e24dfef731751f805ece99a6a4d","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2010-11-22T09:37:23Z","title_canon_sha256":"cf271efaad51652c592b1b17584be52be8e8dae85d1c2046980f4b164ed0343b"},"schema_version":"1.0","source":{"id":"1011.4757","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.4757","created_at":"2026-05-18T04:31:43Z"},{"alias_kind":"arxiv_version","alias_value":"1011.4757v2","created_at":"2026-05-18T04:31:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.4757","created_at":"2026-05-18T04:31:43Z"},{"alias_kind":"pith_short_12","alias_value":"YUSZU2LM27YH","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"YUSZU2LM27YHABVQ","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"YUSZU2LM","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:08db812ece935864ac37b714a9c3570061461f7d9436a98f97a5ed630d1ab22c","target":"graph","created_at":"2026-05-18T04:31:43Z","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":"Let gamma be a (not necessarily finite) structure with a finite relational signature. We prove that deciding whether a given existential positive sentence holds in gamma is in Logspace or complete for the class CSP(gamma)_NP under deterministic polynomial-time many-one reductions. Here, CSP(gamma)_NP is the class of problems that can be reduced to the Constraint Satisfaction Problem of gamma under non-deterministic polynomial-time many-one reductions.","authors_text":"Florian Richoux, Manuel Bodirsky, Miki Hermann","cross_cats":["cs.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2010-11-22T09:37:23Z","title":"Complexity of Existential Positive First-Order Logic"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.4757","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":"sha256:57a3faa3c07e881f6faa6cd96c3a3ef5fd9f941877c360009e8a530df24ec8c2","target":"record","created_at":"2026-05-18T04:31:43Z","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":"841f0431fc5d57fb50bc966193654d7dfc679e24dfef731751f805ece99a6a4d","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2010-11-22T09:37:23Z","title_canon_sha256":"cf271efaad51652c592b1b17584be52be8e8dae85d1c2046980f4b164ed0343b"},"schema_version":"1.0","source":{"id":"1011.4757","kind":"arxiv","version":2}},"canonical_sha256":"c5259a696cd7f07006b0dd8ca8da783103dd269d80e3ef77907630074a5457d6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c5259a696cd7f07006b0dd8ca8da783103dd269d80e3ef77907630074a5457d6","first_computed_at":"2026-05-18T04:31:43.411353Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:31:43.411353Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"63EVucgJzYda2Qla8BYrjB3xJ/INSw9O5l3VuWOFFuntzqZ5ooGr3To7YYKs1tgE3xKledVvCRct50leDwl+Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:31:43.411859Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.4757","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:57a3faa3c07e881f6faa6cd96c3a3ef5fd9f941877c360009e8a530df24ec8c2","sha256:08db812ece935864ac37b714a9c3570061461f7d9436a98f97a5ed630d1ab22c"],"state_sha256":"b4612e269ae786ac36141e8ce60e04b02dce8b664b9ae3668f624b1309fc93d1"}