{"id":"path-crossing-origin-seeded","text":"The visited set is seeded with (0,0) before any steps, so returning to the origin counts as a path crossing.","truth_value":"IN","source":"entries/2026/06/06/path-crossing-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"path-crossing-origin-seeded","truth_value":"IN","reason":"premise"}]}}