{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:MVE2OZTHLRX4DKEJTA4MEBM7FV","short_pith_number":"pith:MVE2OZTH","canonical_record":{"source":{"id":"1707.09327","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2017-07-28T16:55:42Z","cross_cats_sorted":["cs.CC"],"title_canon_sha256":"1369fa5e017819428f7a56dad8508e94d852411bc1235e7d576ddad2271f23fc","abstract_canon_sha256":"42345741c9b3b52d4a925ec97ab654f620547bd9debe424d7c3ec989a82c5b3a"},"schema_version":"1.0"},"canonical_sha256":"6549a766675c6fc1a8899838c2059f2d7c178fc1fb5f665325c5395a0cab7759","source":{"kind":"arxiv","id":"1707.09327","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:MVE2OZTHLRX4DKEJTA4MEBM7FV","target":"record","payload":{"canonical_record":{"source":{"id":"1707.09327","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2017-07-28T16:55:42Z","cross_cats_sorted":["cs.CC"],"title_canon_sha256":"1369fa5e017819428f7a56dad8508e94d852411bc1235e7d576ddad2271f23fc","abstract_canon_sha256":"42345741c9b3b52d4a925ec97ab654f620547bd9debe424d7c3ec989a82c5b3a"},"schema_version":"1.0"},"canonical_sha256":"6549a766675c6fc1a8899838c2059f2d7c178fc1fb5f665325c5395a0cab7759","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:39:11.644177Z","signature_b64":"jlv/zsG2wJb6oRjKAdbX14KZw2Fc/0U/dMgS/Eh9o00QgPjBmEouT7qT7uJAAMgEqFSpehohn2oGU3c2cN9fCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6549a766675c6fc1a8899838c2059f2d7c178fc1fb5f665325c5395a0cab7759","last_reissued_at":"2026-05-18T00:39:11.643483Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:39:11.643483Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1707.09327","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:39:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bWW3r6jl7pgF0uyKmsDNPSmp+H+r0HEP0R/TmPKqypX8zeLj6PabwKze4f2IP1N8yWcrb2Zf21bcwNjmDX+DCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T16:45:02.846208Z"},"content_sha256":"47de1721d87dc090a6baa13d84ab68ce338a4f5938c9c5cd6b6a0107292bc11c","schema_version":"1.0","event_id":"sha256:47de1721d87dc090a6baa13d84ab68ce338a4f5938c9c5cd6b6a0107292bc11c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:MVE2OZTHLRX4DKEJTA4MEBM7FV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A syntactic tool for proving hardness in the Second Level of the Polynomial-Time Hierarchy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CC"],"primary_cat":"cs.LO","authors_text":"Edwin Pin, Nerio Borges","submitted_at":"2017-07-28T16:55:42Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.09327","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:39:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yQGYSo+M2tZZNBDsxNSYWaF2CoMz93sLtHNjnp+dQiviyHj/mFcOdqLsTJzRcotTuXGdwraMu2m2wSRBW5RhAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T16:45:02.846570Z"},"content_sha256":"af8fbb520e4cec074cccaa3ac71c6a60d9ed403433752b8c0046177bf1b3be24","schema_version":"1.0","event_id":"sha256:af8fbb520e4cec074cccaa3ac71c6a60d9ed403433752b8c0046177bf1b3be24"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MVE2OZTHLRX4DKEJTA4MEBM7FV/bundle.json","state_url":"https://pith.science/pith/MVE2OZTHLRX4DKEJTA4MEBM7FV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MVE2OZTHLRX4DKEJTA4MEBM7FV/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-05T16:45:02Z","links":{"resolver":"https://pith.science/pith/MVE2OZTHLRX4DKEJTA4MEBM7FV","bundle":"https://pith.science/pith/MVE2OZTHLRX4DKEJTA4MEBM7FV/bundle.json","state":"https://pith.science/pith/MVE2OZTHLRX4DKEJTA4MEBM7FV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MVE2OZTHLRX4DKEJTA4MEBM7FV/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wM9WdBMdiEurMRmjo/tmZUkXTDUop0Qqz3eqEUmBLPC/uWFiY8BAAkwpUHK51W0yIjIUb928qx1jkf5vDqS1Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T16:45:02.848978Z","bundle_sha256":"daf70f8c66acfbc0ac54d06a22003e6cbbb59429c24c601e42eaf0b709e87f6f"}}