{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:MNZFFU3CR2MPUR2IOINMCAO325","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":"96cd1d1c45d45066eb119cf9fd6020ca9a77852f2dd608767c1ee3e43eb62212","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2016-11-30T19:20:47Z","title_canon_sha256":"29378ff7434bd86986ee48f661bed689e515861a7946a9fd2f9d999ee93735a2"},"schema_version":"1.0","source":{"id":"1611.10319","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.10319","created_at":"2026-05-18T00:56:10Z"},{"alias_kind":"arxiv_version","alias_value":"1611.10319v1","created_at":"2026-05-18T00:56:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.10319","created_at":"2026-05-18T00:56:10Z"},{"alias_kind":"pith_short_12","alias_value":"MNZFFU3CR2MP","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MNZFFU3CR2MPUR2I","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MNZFFU3C","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:c0a452f81b665672feaa8d38e82da662bba203a7ad8f8e0c714a200f820c6e5b","target":"graph","created_at":"2026-05-18T00:56:10Z","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 classify the computational complexity of the popular video games Portal and Portal 2. We isolate individual mechanics of the game and prove NP-hardness, PSPACE-completeness, or (pseudo)polynomiality depending on the specific game mechanics allowed. One of our proofs generalizes to prove NP-hardness of many other video games such as Half-Life 2, Halo, Doom, Elder Scrolls, Fallout, Grand Theft Auto, Left 4 Dead, Mass Effect, Deus Ex, Metal Gear Solid, and Resident Evil.\n  These results build on the established literature on the complexity of video games.","authors_text":"Erik D. Demaine, Jayson Lynch, Joshua Lockhart","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2016-11-30T19:20:47Z","title":"The Computational Complexity of Portal and Other 3D Video Games"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.10319","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":"sha256:74803e070bdc702af5feb5eebe05351f3595dd1024fb9f38525d538b6247a648","target":"record","created_at":"2026-05-18T00:56:10Z","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":"96cd1d1c45d45066eb119cf9fd6020ca9a77852f2dd608767c1ee3e43eb62212","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2016-11-30T19:20:47Z","title_canon_sha256":"29378ff7434bd86986ee48f661bed689e515861a7946a9fd2f9d999ee93735a2"},"schema_version":"1.0","source":{"id":"1611.10319","kind":"arxiv","version":1}},"canonical_sha256":"637252d3628e98fa4748721ac101dbd77e8089f93503f926225b3f766002a471","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"637252d3628e98fa4748721ac101dbd77e8089f93503f926225b3f766002a471","first_computed_at":"2026-05-18T00:56:10.749552Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:56:10.749552Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qM/2fFvuypC6hsKZXOfF8NrRAScgOjaGsDKdjoW3TqBFKews5nqoAlW9k3HzeC5HBpAJP1ulHZ23WIbv/059Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:56:10.749996Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.10319","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:74803e070bdc702af5feb5eebe05351f3595dd1024fb9f38525d538b6247a648","sha256:c0a452f81b665672feaa8d38e82da662bba203a7ad8f8e0c714a200f820c6e5b"],"state_sha256":"f98939d3366408ecb02fc628c2c9d19eebcc4feac19ccccfc951ba4deec00f62"}