{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:U6PXOCYNETIST5JOV2SXJ4V36M","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":"157b9c5073f0faf356aa0c9f78707c4c86060dd89987460ad012221c30e38971","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DB","submitted_at":"2021-05-29T14:21:38Z","title_canon_sha256":"f2cb5185c49975e198e731c50b59cf9c337740e114ad80e2edcb58d005d012da"},"schema_version":"1.0","source":{"id":"2105.14307","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2105.14307","created_at":"2026-07-05T08:18:38Z"},{"alias_kind":"arxiv_version","alias_value":"2105.14307v4","created_at":"2026-07-05T08:18:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.14307","created_at":"2026-07-05T08:18:38Z"},{"alias_kind":"pith_short_12","alias_value":"U6PXOCYNETIS","created_at":"2026-07-05T08:18:38Z"},{"alias_kind":"pith_short_16","alias_value":"U6PXOCYNETIST5JO","created_at":"2026-07-05T08:18:38Z"},{"alias_kind":"pith_short_8","alias_value":"U6PXOCYN","created_at":"2026-07-05T08:18:38Z"}],"graph_snapshots":[{"event_id":"sha256:09dc2f90f1938571796c6209282a5f6c8acd89c6a01f8e2f2ee1b25ac9e4f266","target":"graph","created_at":"2026-07-05T08:18:38Z","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/2105.14307/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the problem of finding the minimal-size factorization of the provenance of self-join-free conjunctive queries, i.e., we want to find a formula that minimizes the number of variable repetitions. This problem is equivalent to solving the fundamental Boolean formula factorization problem for the restricted setting of the provenance formulas of self-join free queries. While general Boolean formula minimization is $\\Sigma^p_2$-complete, we show that the problem is NP-C in our case. Additionally, we identify a large category of queries that can be solved in PTIME, expanding beyond the pr","authors_text":"Neha Makhija, Wolfgang Gatterbauer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DB","submitted_at":"2021-05-29T14:21:38Z","title":"Minimally Factorizing the Provenance of Self-join Free Conjunctive Queries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.14307","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:f722285d1a4b45b858b6bbb2b77e06d944835f0a541287b8f84e5fd639ebd400","target":"record","created_at":"2026-07-05T08:18:38Z","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":"157b9c5073f0faf356aa0c9f78707c4c86060dd89987460ad012221c30e38971","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DB","submitted_at":"2021-05-29T14:21:38Z","title_canon_sha256":"f2cb5185c49975e198e731c50b59cf9c337740e114ad80e2edcb58d005d012da"},"schema_version":"1.0","source":{"id":"2105.14307","kind":"arxiv","version":4}},"canonical_sha256":"a79f770b0d24d129f52eaea574f2bbf317114504fa59b696eda39cb056610459","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a79f770b0d24d129f52eaea574f2bbf317114504fa59b696eda39cb056610459","first_computed_at":"2026-07-05T08:18:38.568431Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:18:38.568431Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"z0kRqKGG5pZJTaOY7/oTV0Z0eT/2wUVbhR+a9z5qddIc5NAhr7NY6Fr6cAIesijMuLp96vKQl9KChkHQyXxpCA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:18:38.568972Z","signed_message":"canonical_sha256_bytes"},"source_id":"2105.14307","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f722285d1a4b45b858b6bbb2b77e06d944835f0a541287b8f84e5fd639ebd400","sha256:09dc2f90f1938571796c6209282a5f6c8acd89c6a01f8e2f2ee1b25ac9e4f266"],"state_sha256":"4379ad919f9bb8020d28870dbdd84617b7f93d4f6d915847eee1d7132f50e313"}