{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:3GNR3SUBJBFJ3EYFIIBVB7X52P","short_pith_number":"pith:3GNR3SUB","canonical_record":{"source":{"id":"1401.3232","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-01-14T15:55:26Z","cross_cats_sorted":["cs.LO"],"title_canon_sha256":"cc653a057bd2edbc2ce9a4f1cba6faacaa65a6f1d8b26cf13e8c96627dcf87cf","abstract_canon_sha256":"5ca0766c5b71e4897e5283065f3bc62c10a7dfa8d4ede927a4d5aa60fb9464eb"},"schema_version":"1.0"},"canonical_sha256":"d99b1dca81484a9d9305420350fefdd3f7da6421f8ce32d47f2529e0cd92b71e","source":{"kind":"arxiv","id":"1401.3232","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.3232","created_at":"2026-05-18T03:02:19Z"},{"alias_kind":"arxiv_version","alias_value":"1401.3232v1","created_at":"2026-05-18T03:02:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.3232","created_at":"2026-05-18T03:02:19Z"},{"alias_kind":"pith_short_12","alias_value":"3GNR3SUBJBFJ","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3GNR3SUBJBFJ3EYF","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3GNR3SUB","created_at":"2026-05-18T12:28:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:3GNR3SUBJBFJ3EYFIIBVB7X52P","target":"record","payload":{"canonical_record":{"source":{"id":"1401.3232","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-01-14T15:55:26Z","cross_cats_sorted":["cs.LO"],"title_canon_sha256":"cc653a057bd2edbc2ce9a4f1cba6faacaa65a6f1d8b26cf13e8c96627dcf87cf","abstract_canon_sha256":"5ca0766c5b71e4897e5283065f3bc62c10a7dfa8d4ede927a4d5aa60fb9464eb"},"schema_version":"1.0"},"canonical_sha256":"d99b1dca81484a9d9305420350fefdd3f7da6421f8ce32d47f2529e0cd92b71e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:02:19.191907Z","signature_b64":"7HcdBve13rebu0nI6Olu1gwnoQXWEs1CmOXYuzG1g2NhJsy8gkHkwbyKHDk9BuZYd26KzP+yZl6UFY1WXn8cBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d99b1dca81484a9d9305420350fefdd3f7da6421f8ce32d47f2529e0cd92b71e","last_reissued_at":"2026-05-18T03:02:19.191165Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:02:19.191165Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.3232","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:02:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"au36If2FwSO17aNXjeSP7Rm89v8wngijveIDxgIJUfeScVYdumZnZCHM4ofFSakXqOquA0TYRpqg8QaO6wUoCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T15:55:06.312979Z"},"content_sha256":"9ab7309467be9fcb0ff9bd5a5cc4fdcdb7a2caf87121eaa825fe84a32e8f8217","schema_version":"1.0","event_id":"sha256:9ab7309467be9fcb0ff9bd5a5cc4fdcdb7a2caf87121eaa825fe84a32e8f8217"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:3GNR3SUBJBFJ3EYFIIBVB7X52P","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hierarchies in independence and inclusion logic with strict semantics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LO"],"primary_cat":"math.LO","authors_text":"Juha Kontinen, Miika Hannula","submitted_at":"2014-01-14T15:55:26Z","abstract_excerpt":"We study the expressive power of fragments of inclusion and independence logic defined by restricting the number k of universal quantifiers in formulas. Assuming the so-called strict semantics for these logics, we relate these fragments of inclusion and independence logic to sublogics ESO_f(k\\forall) of existential second-order logic, which in turn are known to capture the complexity classes NTIME_{RAM}(n^k)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.3232","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:02:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1TFeW3UVrLj/dyMybNgEKQeRC4pP4sHIOKGZkKVha8hGRRAsCRpVTouhw4zijhi1TGesywG+NuLfQY85ymE2BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T15:55:06.313335Z"},"content_sha256":"6f0155e3131a4ad71aa448d104b700da9deef182761b4972e233c142dbd911e3","schema_version":"1.0","event_id":"sha256:6f0155e3131a4ad71aa448d104b700da9deef182761b4972e233c142dbd911e3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3GNR3SUBJBFJ3EYFIIBVB7X52P/bundle.json","state_url":"https://pith.science/pith/3GNR3SUBJBFJ3EYFIIBVB7X52P/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3GNR3SUBJBFJ3EYFIIBVB7X52P/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-24T15:55:06Z","links":{"resolver":"https://pith.science/pith/3GNR3SUBJBFJ3EYFIIBVB7X52P","bundle":"https://pith.science/pith/3GNR3SUBJBFJ3EYFIIBVB7X52P/bundle.json","state":"https://pith.science/pith/3GNR3SUBJBFJ3EYFIIBVB7X52P/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3GNR3SUBJBFJ3EYFIIBVB7X52P/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:3GNR3SUBJBFJ3EYFIIBVB7X52P","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":"5ca0766c5b71e4897e5283065f3bc62c10a7dfa8d4ede927a4d5aa60fb9464eb","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-01-14T15:55:26Z","title_canon_sha256":"cc653a057bd2edbc2ce9a4f1cba6faacaa65a6f1d8b26cf13e8c96627dcf87cf"},"schema_version":"1.0","source":{"id":"1401.3232","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.3232","created_at":"2026-05-18T03:02:19Z"},{"alias_kind":"arxiv_version","alias_value":"1401.3232v1","created_at":"2026-05-18T03:02:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.3232","created_at":"2026-05-18T03:02:19Z"},{"alias_kind":"pith_short_12","alias_value":"3GNR3SUBJBFJ","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3GNR3SUBJBFJ3EYF","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3GNR3SUB","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:6f0155e3131a4ad71aa448d104b700da9deef182761b4972e233c142dbd911e3","target":"graph","created_at":"2026-05-18T03:02:19Z","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 study the expressive power of fragments of inclusion and independence logic defined by restricting the number k of universal quantifiers in formulas. Assuming the so-called strict semantics for these logics, we relate these fragments of inclusion and independence logic to sublogics ESO_f(k\\forall) of existential second-order logic, which in turn are known to capture the complexity classes NTIME_{RAM}(n^k).","authors_text":"Juha Kontinen, Miika Hannula","cross_cats":["cs.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-01-14T15:55:26Z","title":"Hierarchies in independence and inclusion logic with strict semantics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.3232","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":"sha256:9ab7309467be9fcb0ff9bd5a5cc4fdcdb7a2caf87121eaa825fe84a32e8f8217","target":"record","created_at":"2026-05-18T03:02:19Z","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":"5ca0766c5b71e4897e5283065f3bc62c10a7dfa8d4ede927a4d5aa60fb9464eb","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-01-14T15:55:26Z","title_canon_sha256":"cc653a057bd2edbc2ce9a4f1cba6faacaa65a6f1d8b26cf13e8c96627dcf87cf"},"schema_version":"1.0","source":{"id":"1401.3232","kind":"arxiv","version":1}},"canonical_sha256":"d99b1dca81484a9d9305420350fefdd3f7da6421f8ce32d47f2529e0cd92b71e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d99b1dca81484a9d9305420350fefdd3f7da6421f8ce32d47f2529e0cd92b71e","first_computed_at":"2026-05-18T03:02:19.191165Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:02:19.191165Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7HcdBve13rebu0nI6Olu1gwnoQXWEs1CmOXYuzG1g2NhJsy8gkHkwbyKHDk9BuZYd26KzP+yZl6UFY1WXn8cBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:02:19.191907Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.3232","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9ab7309467be9fcb0ff9bd5a5cc4fdcdb7a2caf87121eaa825fe84a32e8f8217","sha256:6f0155e3131a4ad71aa448d104b700da9deef182761b4972e233c142dbd911e3"],"state_sha256":"1824989a979f2740db7146f764ab2485b3068177e4ddd6a51c545c2724bef6ec"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SAMsO06fdnxK6RElhGR7fVfD+QsrcRHMx83uUlco/20MlLMbg/l7qXMPTXj60jeVNvpzsDoPYkR6yewr3foaDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T15:55:06.315217Z","bundle_sha256":"2d020497c1e96a1e29a4a772a7b99f4d4658c5c94ab13dea9bc448f3807c7390"}}