{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:WQJOE7R5OOR4J357P7NLAJ2EY6","short_pith_number":"pith:WQJOE7R5","canonical_record":{"source":{"id":"1612.03155","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-12-09T20:32:24Z","cross_cats_sorted":[],"title_canon_sha256":"efb4a64e2a5b72510321ee81745f2ba78377ac250d15fb7b019cab11dc9f0a01","abstract_canon_sha256":"e9eb1c574f8f175a86336e09b450f2c54d8fa104672942cd17c069bb27181b26"},"schema_version":"1.0"},"canonical_sha256":"b412e27e3d73a3c4efbf7fdab02744c7bf8463fe17c5a51db79322ebb22222c5","source":{"kind":"arxiv","id":"1612.03155","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.03155","created_at":"2026-05-18T00:55:26Z"},{"alias_kind":"arxiv_version","alias_value":"1612.03155v1","created_at":"2026-05-18T00:55:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.03155","created_at":"2026-05-18T00:55:26Z"},{"alias_kind":"pith_short_12","alias_value":"WQJOE7R5OOR4","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"WQJOE7R5OOR4J357","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"WQJOE7R5","created_at":"2026-05-18T12:30:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:WQJOE7R5OOR4J357P7NLAJ2EY6","target":"record","payload":{"canonical_record":{"source":{"id":"1612.03155","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-12-09T20:32:24Z","cross_cats_sorted":[],"title_canon_sha256":"efb4a64e2a5b72510321ee81745f2ba78377ac250d15fb7b019cab11dc9f0a01","abstract_canon_sha256":"e9eb1c574f8f175a86336e09b450f2c54d8fa104672942cd17c069bb27181b26"},"schema_version":"1.0"},"canonical_sha256":"b412e27e3d73a3c4efbf7fdab02744c7bf8463fe17c5a51db79322ebb22222c5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:55:26.248784Z","signature_b64":"8RNA5Ie1WiGB77ueqdLWbHF5unZieePNb13YTRyLHrx4c3acTgDtDkKbcioG9PqeiNw+G8DsNu3qeCau7ygaCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b412e27e3d73a3c4efbf7fdab02744c7bf8463fe17c5a51db79322ebb22222c5","last_reissued_at":"2026-05-18T00:55:26.247911Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:55:26.247911Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.03155","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":"2026-05-18T00:55:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RgsCNOskQ57Hd7NXGdmcbPQ4oHXxSoxfsMLpAsW8TTja85INl2ji7wuJwkEj1YcTHKYkJ9YlqPn73ilq9FK0Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T22:52:37.069921Z"},"content_sha256":"0d0df6a18b11aa13d2458f408f744c66ee28a8ac079a5372637d3c824a5a67da","schema_version":"1.0","event_id":"sha256:0d0df6a18b11aa13d2458f408f744c66ee28a8ac079a5372637d3c824a5a67da"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:WQJOE7R5OOR4J357P7NLAJ2EY6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Higher Order Query Languages which on Relational Databases Collapse to Second Order Logic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Flavio Ferrarotti, Jos\\'e Mar\\'ia Turull-Torres, Loredana Tec","submitted_at":"2016-12-09T20:32:24Z","abstract_excerpt":"In the framework of computable queries in Database Theory, there are many examples of queries to (properties of) relational database instances that can be expressed by simple and elegant third order logic ($\\mathrm{TO}$) formulae. In many of those properties the expressive power of $\\mathrm{TO}$ is not required, but the equivalent second order logic ($\\mathrm{SO}$) formulae can be very complicated or unintuitive. From the point of view of the study of highly expressive query languages, it is then relevant to identify fragments of $\\mathrm{TO}$ (and, in general, of higher-order logics of order "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.03155","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":"2026-05-18T00:55:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wjutq6w7TPl2CqlKedC3CO8H85hXtSygMxki+rJMhMscFbQZ4bj5zzwuA92JX/T2HgyMCRvZs6Guf0/fgZjJCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T22:52:37.070684Z"},"content_sha256":"14e03d57cbb0b230cb106e9aa4a160709c984e930a00382e7b2be6615be195fd","schema_version":"1.0","event_id":"sha256:14e03d57cbb0b230cb106e9aa4a160709c984e930a00382e7b2be6615be195fd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WQJOE7R5OOR4J357P7NLAJ2EY6/bundle.json","state_url":"https://pith.science/pith/WQJOE7R5OOR4J357P7NLAJ2EY6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WQJOE7R5OOR4J357P7NLAJ2EY6/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":"2026-06-07T22:52:37Z","links":{"resolver":"https://pith.science/pith/WQJOE7R5OOR4J357P7NLAJ2EY6","bundle":"https://pith.science/pith/WQJOE7R5OOR4J357P7NLAJ2EY6/bundle.json","state":"https://pith.science/pith/WQJOE7R5OOR4J357P7NLAJ2EY6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WQJOE7R5OOR4J357P7NLAJ2EY6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:WQJOE7R5OOR4J357P7NLAJ2EY6","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":"e9eb1c574f8f175a86336e09b450f2c54d8fa104672942cd17c069bb27181b26","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-12-09T20:32:24Z","title_canon_sha256":"efb4a64e2a5b72510321ee81745f2ba78377ac250d15fb7b019cab11dc9f0a01"},"schema_version":"1.0","source":{"id":"1612.03155","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.03155","created_at":"2026-05-18T00:55:26Z"},{"alias_kind":"arxiv_version","alias_value":"1612.03155v1","created_at":"2026-05-18T00:55:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.03155","created_at":"2026-05-18T00:55:26Z"},{"alias_kind":"pith_short_12","alias_value":"WQJOE7R5OOR4","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"WQJOE7R5OOR4J357","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"WQJOE7R5","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:14e03d57cbb0b230cb106e9aa4a160709c984e930a00382e7b2be6615be195fd","target":"graph","created_at":"2026-05-18T00:55:26Z","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":"In the framework of computable queries in Database Theory, there are many examples of queries to (properties of) relational database instances that can be expressed by simple and elegant third order logic ($\\mathrm{TO}$) formulae. In many of those properties the expressive power of $\\mathrm{TO}$ is not required, but the equivalent second order logic ($\\mathrm{SO}$) formulae can be very complicated or unintuitive. From the point of view of the study of highly expressive query languages, it is then relevant to identify fragments of $\\mathrm{TO}$ (and, in general, of higher-order logics of order ","authors_text":"Flavio Ferrarotti, Jos\\'e Mar\\'ia Turull-Torres, Loredana Tec","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-12-09T20:32:24Z","title":"On Higher Order Query Languages which on Relational Databases Collapse to Second Order Logic"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.03155","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":"sha256:0d0df6a18b11aa13d2458f408f744c66ee28a8ac079a5372637d3c824a5a67da","target":"record","created_at":"2026-05-18T00:55:26Z","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":"e9eb1c574f8f175a86336e09b450f2c54d8fa104672942cd17c069bb27181b26","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-12-09T20:32:24Z","title_canon_sha256":"efb4a64e2a5b72510321ee81745f2ba78377ac250d15fb7b019cab11dc9f0a01"},"schema_version":"1.0","source":{"id":"1612.03155","kind":"arxiv","version":1}},"canonical_sha256":"b412e27e3d73a3c4efbf7fdab02744c7bf8463fe17c5a51db79322ebb22222c5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b412e27e3d73a3c4efbf7fdab02744c7bf8463fe17c5a51db79322ebb22222c5","first_computed_at":"2026-05-18T00:55:26.247911Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:55:26.247911Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8RNA5Ie1WiGB77ueqdLWbHF5unZieePNb13YTRyLHrx4c3acTgDtDkKbcioG9PqeiNw+G8DsNu3qeCau7ygaCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:55:26.248784Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.03155","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0d0df6a18b11aa13d2458f408f744c66ee28a8ac079a5372637d3c824a5a67da","sha256:14e03d57cbb0b230cb106e9aa4a160709c984e930a00382e7b2be6615be195fd"],"state_sha256":"1b1730f7a8472f87f77618387c98f5214c5f3c95e8140b7ae1759bd36a175bc5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U6MnOE1E3NQ94tqxARFsrJjrmGyxuY1karYlHjWhssn1E+Zs6mPFyuKQdpdyT8YGVpmlNuSgP3yOVWFd1RcQAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T22:52:37.075070Z","bundle_sha256":"6b263ba302fd8f22aa2ebaa4b047cf6b8f85032d6ba9725607824e8f2b7f2f9d"}}