{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:MVTB3VCSDTPV5VFKRZNWU4QN43","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":"e88e103fb5bfb9ee34ffaa7483e9bca1b213701d6768b78e9892788f2acc3768","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2016-02-19T00:51:06Z","title_canon_sha256":"0082a94f8c52f5986d03221af0980eb1f7c8d00e071173cdd2b3ce8ecb8a02b4"},"schema_version":"1.0","source":{"id":"1602.06012","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.06012","created_at":"2026-05-18T01:20:21Z"},{"alias_kind":"arxiv_version","alias_value":"1602.06012v1","created_at":"2026-05-18T01:20:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.06012","created_at":"2026-05-18T01:20:21Z"},{"alias_kind":"pith_short_12","alias_value":"MVTB3VCSDTPV","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MVTB3VCSDTPV5VFK","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MVTB3VCS","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:1e7b565303699bc62af377b983fd775d55e37d025dcce3905a80b54342bf4559","target":"graph","created_at":"2026-05-18T01:20:21Z","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 show that three placement games, Col, NoGo, and Fjords, are PSPACE-complete on planar graphs. The hardness of Col and Fjords is shown via a reduction from Bounded 2-Player Constraint Logic and NoGo is shown to be hard directly from Col.","authors_text":"Bob Hearn, Kyle Burke","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2016-02-19T00:51:06Z","title":"PSPACE-Complete Two-Color Placement Games"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.06012","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:f164ac624f5dd3a2bdc98b23582beee6b8db32c58b9a6712d1cef044a0ef1443","target":"record","created_at":"2026-05-18T01:20:21Z","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":"e88e103fb5bfb9ee34ffaa7483e9bca1b213701d6768b78e9892788f2acc3768","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2016-02-19T00:51:06Z","title_canon_sha256":"0082a94f8c52f5986d03221af0980eb1f7c8d00e071173cdd2b3ce8ecb8a02b4"},"schema_version":"1.0","source":{"id":"1602.06012","kind":"arxiv","version":1}},"canonical_sha256":"65661dd4521cdf5ed4aa8e5b6a720de6d5ec602ce581928b61cbe4ed09245fdd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"65661dd4521cdf5ed4aa8e5b6a720de6d5ec602ce581928b61cbe4ed09245fdd","first_computed_at":"2026-05-18T01:20:21.825878Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:21.825878Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nZVSuNOeJQNuAJZv29GjWluxxkXvYUcKSrsVDD4mbwMi5c1Ma+qkEvDcKv98omw4BWhqUNaQiB5pFSI0UyqXBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:21.826483Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.06012","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f164ac624f5dd3a2bdc98b23582beee6b8db32c58b9a6712d1cef044a0ef1443","sha256:1e7b565303699bc62af377b983fd775d55e37d025dcce3905a80b54342bf4559"],"state_sha256":"0069fbd28093f88b21fd1871ab344ebd5a8bcec73ca63c2410551b6e19399509"}