{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:YJCECHJQXIBJKHVRJXTEUVOCOP","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":"6016ac11f4813ee542d60a790ef7ba1dfca5a77529407fb1567825444b425ed3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2023-05-04T17:57:16Z","title_canon_sha256":"725b7032348a5f0c8df7ebf1cb94e4835800400c50891d244056896d15750fd1"},"schema_version":"1.0","source":{"id":"2305.03037","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.03037","created_at":"2026-05-25T02:01:00Z"},{"alias_kind":"arxiv_version","alias_value":"2305.03037v2","created_at":"2026-05-25T02:01:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.03037","created_at":"2026-05-25T02:01:00Z"},{"alias_kind":"pith_short_12","alias_value":"YJCECHJQXIBJ","created_at":"2026-05-25T02:01:00Z"},{"alias_kind":"pith_short_16","alias_value":"YJCECHJQXIBJKHVR","created_at":"2026-05-25T02:01:00Z"},{"alias_kind":"pith_short_8","alias_value":"YJCECHJQ","created_at":"2026-05-25T02:01:00Z"}],"graph_snapshots":[{"event_id":"sha256:9336346e15ad974b54baba11c041cad29d1ad86f0af59e76ab07410d1b949cee","target":"graph","created_at":"2026-05-25T02:01:00Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2305.03037/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate expansions of Presburger arithmetic, i.e., the theory of the integers with addition and order, with additional structure related to exponentiation: either a function that takes a number to the power of $2$, or a predicate for the powers of $2$. The latter theory, denoted $\\mathrm{PresPower}$, was introduced by B\\\"uchi as a first attempt at characterizing the sets of tuples of numbers that can be expressed using finite automata; B\\\"uchi's method does not give an elementary upper bound, and the complexity of this theory has been open. The former theory, denoted as $\\mathrm{PresExp","authors_text":"Alessio Mansutti, Dmitry Chistikov, Michael Benedikt","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2023-05-04T17:57:16Z","title":"The complexity of Presburger arithmetic with power or powers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.03037","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:b5aae7d4696f1d39639eb5b6920201ff630509aaa25e9a2e838c03c4981c21a3","target":"record","created_at":"2026-05-25T02:01:00Z","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":"6016ac11f4813ee542d60a790ef7ba1dfca5a77529407fb1567825444b425ed3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2023-05-04T17:57:16Z","title_canon_sha256":"725b7032348a5f0c8df7ebf1cb94e4835800400c50891d244056896d15750fd1"},"schema_version":"1.0","source":{"id":"2305.03037","kind":"arxiv","version":2}},"canonical_sha256":"c244411d30ba02951eb14de64a55c273ee0f9c937e02814e5e4713d374cae6dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c244411d30ba02951eb14de64a55c273ee0f9c937e02814e5e4713d374cae6dd","first_computed_at":"2026-05-25T02:01:00.113965Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-25T02:01:00.113965Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QddigUEH8IuQcjudhw95qOGTumNtsnrTXxYkM6oVaIkIuaKB2zOycFUlacJWGIU6jI6WN2CgGRSccr6R1h9fCQ==","signature_status":"signed_v1","signed_at":"2026-05-25T02:01:00.114553Z","signed_message":"canonical_sha256_bytes"},"source_id":"2305.03037","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b5aae7d4696f1d39639eb5b6920201ff630509aaa25e9a2e838c03c4981c21a3","sha256:9336346e15ad974b54baba11c041cad29d1ad86f0af59e76ab07410d1b949cee"],"state_sha256":"30b59349a9a8948b9e48ab2f961fe8f730abc4400102a3cd6df1579deb612096"}