{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:7DQF64FLSJ6RQAKLSIW74WQDAU","short_pith_number":"pith:7DQF64FL","canonical_record":{"source":{"id":"1609.05020","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DB","submitted_at":"2016-09-16T12:17:34Z","cross_cats_sorted":[],"title_canon_sha256":"a21664aa2ceb148d79dbd4393c64c97fc120a35b8eaee549b735c51ad809551a","abstract_canon_sha256":"fdc0513fe075fee4a6decb8252287660f3aafa5e0b26b137106baa92e198a6a7"},"schema_version":"1.0"},"canonical_sha256":"f8e05f70ab927d18014b922dfe5a03053a29faa5893cde96ac5097ec14911eb4","source":{"kind":"arxiv","id":"1609.05020","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.05020","created_at":"2026-05-18T01:04:31Z"},{"alias_kind":"arxiv_version","alias_value":"1609.05020v1","created_at":"2026-05-18T01:04:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.05020","created_at":"2026-05-18T01:04:31Z"},{"alias_kind":"pith_short_12","alias_value":"7DQF64FLSJ6R","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"7DQF64FLSJ6RQAKL","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"7DQF64FL","created_at":"2026-05-18T12:30:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:7DQF64FLSJ6RQAKLSIW74WQDAU","target":"record","payload":{"canonical_record":{"source":{"id":"1609.05020","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DB","submitted_at":"2016-09-16T12:17:34Z","cross_cats_sorted":[],"title_canon_sha256":"a21664aa2ceb148d79dbd4393c64c97fc120a35b8eaee549b735c51ad809551a","abstract_canon_sha256":"fdc0513fe075fee4a6decb8252287660f3aafa5e0b26b137106baa92e198a6a7"},"schema_version":"1.0"},"canonical_sha256":"f8e05f70ab927d18014b922dfe5a03053a29faa5893cde96ac5097ec14911eb4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:31.799983Z","signature_b64":"CmR2Y38rx+88gzp08aMmgWlvgqZfpdyMRRGpkjerbKfLouzVJFz2qT5CdNUApsZNuEeSbFWA9OQu6hfwKhvlBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f8e05f70ab927d18014b922dfe5a03053a29faa5893cde96ac5097ec14911eb4","last_reissued_at":"2026-05-18T01:04:31.799237Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:31.799237Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.05020","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":"2026-05-18T01:04:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LMUMoxwezzDLjKJtvsIJbbeZRCGnX3QlRoujciZnwJWXQL0WrA84MQnCPEPaDQBfnq8G2/+OOiGbAf4TSecECA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T09:20:27.534470Z"},"content_sha256":"26fb7360bfc91631d96a510d3ca3a0ac67a9d894434f0289fedd717ddfc26102","schema_version":"1.0","event_id":"sha256:26fb7360bfc91631d96a510d3ca3a0ac67a9d894434f0289fedd717ddfc26102"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:7DQF64FLSJ6RQAKLSIW74WQDAU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Formal Algebra for OLAP","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.DB","authors_text":"Alejandro Vaisman, Bart Kuijpers","submitted_at":"2016-09-16T12:17:34Z","abstract_excerpt":"Online Analytical Processing (OLAP) comprises tools and algorithms that allow querying multidimensional databases. It is based on the multidimensional model, where data can be seen as a cube, where each cell contains one or more measures can be aggregated along dimensions. Despite the extensive corpus of work in the field, a standard language for OLAP is still needed, since there is no well-defined, accepted semantics, for many of the usual OLAP operations. In this paper, we address this problem, and present a set of operations for manipulating a data cube. We clearly define the semantics of t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.05020","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":"2026-05-18T01:04:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2dcbmfd6g4AHG6jPCI2omfp73h0Xx/0gxDeHfpgQIsyCSk7GB0lGanyN9HaIl0jxZNmrEYGG6FLLCd1jYUblDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T09:20:27.534805Z"},"content_sha256":"e503f35b1eb6398f27dce93cf797eebbf80a658265b5f8e4e9c762bcff0d6a91","schema_version":"1.0","event_id":"sha256:e503f35b1eb6398f27dce93cf797eebbf80a658265b5f8e4e9c762bcff0d6a91"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7DQF64FLSJ6RQAKLSIW74WQDAU/bundle.json","state_url":"https://pith.science/pith/7DQF64FLSJ6RQAKLSIW74WQDAU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7DQF64FLSJ6RQAKLSIW74WQDAU/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":"2026-06-27T09:20:27Z","links":{"resolver":"https://pith.science/pith/7DQF64FLSJ6RQAKLSIW74WQDAU","bundle":"https://pith.science/pith/7DQF64FLSJ6RQAKLSIW74WQDAU/bundle.json","state":"https://pith.science/pith/7DQF64FLSJ6RQAKLSIW74WQDAU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7DQF64FLSJ6RQAKLSIW74WQDAU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:7DQF64FLSJ6RQAKLSIW74WQDAU","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":"fdc0513fe075fee4a6decb8252287660f3aafa5e0b26b137106baa92e198a6a7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DB","submitted_at":"2016-09-16T12:17:34Z","title_canon_sha256":"a21664aa2ceb148d79dbd4393c64c97fc120a35b8eaee549b735c51ad809551a"},"schema_version":"1.0","source":{"id":"1609.05020","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.05020","created_at":"2026-05-18T01:04:31Z"},{"alias_kind":"arxiv_version","alias_value":"1609.05020v1","created_at":"2026-05-18T01:04:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.05020","created_at":"2026-05-18T01:04:31Z"},{"alias_kind":"pith_short_12","alias_value":"7DQF64FLSJ6R","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"7DQF64FLSJ6RQAKL","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"7DQF64FL","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:e503f35b1eb6398f27dce93cf797eebbf80a658265b5f8e4e9c762bcff0d6a91","target":"graph","created_at":"2026-05-18T01:04:31Z","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":"Online Analytical Processing (OLAP) comprises tools and algorithms that allow querying multidimensional databases. It is based on the multidimensional model, where data can be seen as a cube, where each cell contains one or more measures can be aggregated along dimensions. Despite the extensive corpus of work in the field, a standard language for OLAP is still needed, since there is no well-defined, accepted semantics, for many of the usual OLAP operations. In this paper, we address this problem, and present a set of operations for manipulating a data cube. We clearly define the semantics of t","authors_text":"Alejandro Vaisman, Bart Kuijpers","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DB","submitted_at":"2016-09-16T12:17:34Z","title":"A Formal Algebra for OLAP"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.05020","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":"sha256:26fb7360bfc91631d96a510d3ca3a0ac67a9d894434f0289fedd717ddfc26102","target":"record","created_at":"2026-05-18T01:04:31Z","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":"fdc0513fe075fee4a6decb8252287660f3aafa5e0b26b137106baa92e198a6a7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DB","submitted_at":"2016-09-16T12:17:34Z","title_canon_sha256":"a21664aa2ceb148d79dbd4393c64c97fc120a35b8eaee549b735c51ad809551a"},"schema_version":"1.0","source":{"id":"1609.05020","kind":"arxiv","version":1}},"canonical_sha256":"f8e05f70ab927d18014b922dfe5a03053a29faa5893cde96ac5097ec14911eb4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f8e05f70ab927d18014b922dfe5a03053a29faa5893cde96ac5097ec14911eb4","first_computed_at":"2026-05-18T01:04:31.799237Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:04:31.799237Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CmR2Y38rx+88gzp08aMmgWlvgqZfpdyMRRGpkjerbKfLouzVJFz2qT5CdNUApsZNuEeSbFWA9OQu6hfwKhvlBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:04:31.799983Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.05020","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:26fb7360bfc91631d96a510d3ca3a0ac67a9d894434f0289fedd717ddfc26102","sha256:e503f35b1eb6398f27dce93cf797eebbf80a658265b5f8e4e9c762bcff0d6a91"],"state_sha256":"c4cb57231492c0c8658f9d2e0ac21c9ef7b2d6944e2435c3812912c2f3a5d769"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sOTzj0gIp3gpYSpXE42U588qR0xzVDYg94u9aAwpmmeZtXoDGH6OynPG/HbSNKHrzaVaMzVgXj1RpYkQ/d+YDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T09:20:27.536669Z","bundle_sha256":"112e14a7ed5a3e4e06a1b47a7e113060882ab2200f6de2189e0abddc7ee15047"}}