{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:MVE2OZTHLRX4DKEJTA4MEBM7FV","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":"42345741c9b3b52d4a925ec97ab654f620547bd9debe424d7c3ec989a82c5b3a","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2017-07-28T16:55:42Z","title_canon_sha256":"1369fa5e017819428f7a56dad8508e94d852411bc1235e7d576ddad2271f23fc"},"schema_version":"1.0","source":{"id":"1707.09327","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.09327","created_at":"2026-05-18T00:39:11Z"},{"alias_kind":"arxiv_version","alias_value":"1707.09327v1","created_at":"2026-05-18T00:39:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.09327","created_at":"2026-05-18T00:39:11Z"},{"alias_kind":"pith_short_12","alias_value":"MVE2OZTHLRX4","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MVE2OZTHLRX4DKEJ","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MVE2OZTH","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:af8fbb520e4cec074cccaa3ac71c6a60d9ed403433752b8c0046177bf1b3be24","target":"graph","created_at":"2026-05-18T00:39:11Z","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 the nineties Immerman and Medina initiated the search for syn- tactic tools to prove NP-completeness. In their work, amongst several results, they conjecture that the NP-completeness of a problem defined by the conjunction of a sentence in Existential Second Order Logic with a First Order sentence, necessarily imply the NP-completeness of the problem defined by the Existential Second Order sentence alone. This is interesting because if true it would justify the restriction heuristic pro- posed in Garey and Johnson in his classical book on NP completeness, which roughly says that in some cas","authors_text":"Edwin Pin, Nerio Borges","cross_cats":["cs.CC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2017-07-28T16:55:42Z","title":"A syntactic tool for proving hardness in the Second Level of the Polynomial-Time Hierarchy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.09327","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":"sha256:47de1721d87dc090a6baa13d84ab68ce338a4f5938c9c5cd6b6a0107292bc11c","target":"record","created_at":"2026-05-18T00:39:11Z","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":"42345741c9b3b52d4a925ec97ab654f620547bd9debe424d7c3ec989a82c5b3a","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2017-07-28T16:55:42Z","title_canon_sha256":"1369fa5e017819428f7a56dad8508e94d852411bc1235e7d576ddad2271f23fc"},"schema_version":"1.0","source":{"id":"1707.09327","kind":"arxiv","version":1}},"canonical_sha256":"6549a766675c6fc1a8899838c2059f2d7c178fc1fb5f665325c5395a0cab7759","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6549a766675c6fc1a8899838c2059f2d7c178fc1fb5f665325c5395a0cab7759","first_computed_at":"2026-05-18T00:39:11.643483Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:39:11.643483Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jlv/zsG2wJb6oRjKAdbX14KZw2Fc/0U/dMgS/Eh9o00QgPjBmEouT7qT7uJAAMgEqFSpehohn2oGU3c2cN9fCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:39:11.644177Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.09327","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:47de1721d87dc090a6baa13d84ab68ce338a4f5938c9c5cd6b6a0107292bc11c","sha256:af8fbb520e4cec074cccaa3ac71c6a60d9ed403433752b8c0046177bf1b3be24"],"state_sha256":"316df04d7ced4612edc506e4e10c1caf9db4f213c331e4ae1086e1f5e55eca17"}