{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:5T2RIPGWUO33I2YRWCNIKB37KQ","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":"3a7172925e6fd9b80dce22c38f00b8bb7adfb47dab1db31635a7d8c199222774","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2014-04-22T00:05:19Z","title_canon_sha256":"4d1e85c704633d0f0b4c9428bc28e2c526346d1241c3a241cd2237033033f380"},"schema_version":"1.0","source":{"id":"1404.5352","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.5352","created_at":"2026-05-18T02:53:06Z"},{"alias_kind":"arxiv_version","alias_value":"1404.5352v2","created_at":"2026-05-18T02:53:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.5352","created_at":"2026-05-18T02:53:06Z"},{"alias_kind":"pith_short_12","alias_value":"5T2RIPGWUO33","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"5T2RIPGWUO33I2YR","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"5T2RIPGW","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:d8086f5fe73a38af2cf02952a01769b6391aa7487971b487997ce46607585561","target":"graph","created_at":"2026-05-18T02:53:06Z","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 is a critique of version three of Joonmo Kim's paper entitled \"P is not equal to NP by Modus Tollens. [arXiv:1403.4143v3]\" After summarizing Kim's proof, we note that the logic that Kim uses is inconsistent, which provides evidence that the proof is invalid. To show this, we will consider two reasonable interpretations of Kim's definitions, and show that \"P is not equal to NP\" does not seem to follow in an obvious way using any of them.","authors_text":"Adam Scrivener, Dan Hassin, Yibo Zhou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2014-04-22T00:05:19Z","title":"Critique of J. Kim's \"P is not equal to NP by Modus Tollens\""},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.5352","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:bb5561ae81eb3cb773548616c7baad8eb6bdbbd8c49a78f6641c5146ddad8004","target":"record","created_at":"2026-05-18T02:53:06Z","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":"3a7172925e6fd9b80dce22c38f00b8bb7adfb47dab1db31635a7d8c199222774","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2014-04-22T00:05:19Z","title_canon_sha256":"4d1e85c704633d0f0b4c9428bc28e2c526346d1241c3a241cd2237033033f380"},"schema_version":"1.0","source":{"id":"1404.5352","kind":"arxiv","version":2}},"canonical_sha256":"ecf5143cd6a3b7b46b11b09a85077f543bcb1083ffa4b6cf2d912859574d87ec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ecf5143cd6a3b7b46b11b09a85077f543bcb1083ffa4b6cf2d912859574d87ec","first_computed_at":"2026-05-18T02:53:06.911586Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:53:06.911586Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JLXX1W0oIJyLsPaQosbdkMtIR0Nt7z5pY+RlFxPiRXl0VskP28ymRF3Do8/4hQWy8V2hAIOQmp61PtCsmQYdDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:53:06.912133Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.5352","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bb5561ae81eb3cb773548616c7baad8eb6bdbbd8c49a78f6641c5146ddad8004","sha256:d8086f5fe73a38af2cf02952a01769b6391aa7487971b487997ce46607585561"],"state_sha256":"9096c7527aa11feee6402f0a70b4450d8a427d11eb41ec5bd8f153c25f5139f6"}