{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:HZGHDJMLRKUTWST4XIN5V5ZRKS","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":"ee9250e9bd60eb7192d9b2a0921e51ce353f458f75e798f9826dec7c5153265e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2017-10-16T10:00:26Z","title_canon_sha256":"9edae1a752eab503169eb5337c5396db12c94f0ba001e10182d63d2712c5e0f9"},"schema_version":"1.0","source":{"id":"1710.05599","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.05599","created_at":"2026-05-18T00:19:08Z"},{"alias_kind":"arxiv_version","alias_value":"1710.05599v4","created_at":"2026-05-18T00:19:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.05599","created_at":"2026-05-18T00:19:08Z"},{"alias_kind":"pith_short_12","alias_value":"HZGHDJMLRKUT","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"HZGHDJMLRKUTWST4","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"HZGHDJML","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:57bc5ac082671cb14377d71a4c340486f7fdd354781e71b50009ba7f90206a6b","target":"graph","created_at":"2026-05-18T00:19:08Z","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 the decision problem for the basic system of interpretability logic IL is PSPACE-complete. For this purpose we present an algorithm which uses polynomial space with respect to the complexity of a given formula. The existence of such algorithm, together with the previously known PSPACE hardness of the closed fragment of IL, implies PSPACE-completeness.","authors_text":"Fedor Pakhomov, Luka Mikec, Mladen Vukovi\\'c","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2017-10-16T10:00:26Z","title":"Complexity of the interpretability logic IL"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.05599","kind":"arxiv","version":4},"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":"sha256:7b3d945e7b3c0b2b61a81060ae86663d25ad2bc79d60a9bad147be7e810025da","target":"record","created_at":"2026-05-18T00:19:08Z","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":"ee9250e9bd60eb7192d9b2a0921e51ce353f458f75e798f9826dec7c5153265e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2017-10-16T10:00:26Z","title_canon_sha256":"9edae1a752eab503169eb5337c5396db12c94f0ba001e10182d63d2712c5e0f9"},"schema_version":"1.0","source":{"id":"1710.05599","kind":"arxiv","version":4}},"canonical_sha256":"3e4c71a58b8aa93b4a7cba1bdaf73154a79fa157a872a733d9aec6ea64aad9ed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3e4c71a58b8aa93b4a7cba1bdaf73154a79fa157a872a733d9aec6ea64aad9ed","first_computed_at":"2026-05-18T00:19:08.666702Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:08.666702Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/VA9TrzBakY/BHbj2bo+t5iMpvpaUNVAeQ9i2fzJ7qt7Zts1jLneRZAS61Kn383tEKAeeVAu3uebYvALK1osBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:08.667408Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.05599","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7b3d945e7b3c0b2b61a81060ae86663d25ad2bc79d60a9bad147be7e810025da","sha256:57bc5ac082671cb14377d71a4c340486f7fdd354781e71b50009ba7f90206a6b"],"state_sha256":"f67450a9598648bd8a6f40a081f21f56c103d51910369c8d56c607e7e18747cd"}