{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:FIO62VO2GHPIJ7ES4QY5ZETSPI","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":"8c0bbc84300d8d6f16a8fb8b9925be4a25f11aa233dac7c9fa900200f82776a6","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CC","submitted_at":"2025-02-04T08:17:13Z","title_canon_sha256":"0a41aef2c44ea1ec730b09ed2aeea0eadc402bfa8352b69fa596691d50ddf4c0"},"schema_version":"1.0","source":{"id":"2502.02090","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.02090","created_at":"2026-07-05T10:09:23Z"},{"alias_kind":"arxiv_version","alias_value":"2502.02090v1","created_at":"2026-07-05T10:09:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.02090","created_at":"2026-07-05T10:09:23Z"},{"alias_kind":"pith_short_12","alias_value":"FIO62VO2GHPI","created_at":"2026-07-05T10:09:23Z"},{"alias_kind":"pith_short_16","alias_value":"FIO62VO2GHPIJ7ES","created_at":"2026-07-05T10:09:23Z"},{"alias_kind":"pith_short_8","alias_value":"FIO62VO2","created_at":"2026-07-05T10:09:23Z"}],"graph_snapshots":[{"event_id":"sha256:4c759092a0c30e832a8a557fe7ecb22cff7251d19371758deca38ae72a2bec8d","target":"graph","created_at":"2026-07-05T10:09:23Z","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/2502.02090/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The path to the solution of Feder-Vardi dichotomy conjecture by Bulatov and Zhuk led through showing that more and more general algebraic conditions imply polynomial-time algorithms for the finite-domain Constraint Satisfaction Problems (CSPs) whose templates satisfy them. These investigations resulted in the discovery of the appropriate height 1 Maltsev conditions characterizing bounded strict width, bounded width, the applicability of the few-subpowers algorithm, and many others.\n  For problems in the range of the similar Bodirsky-Pinsker conjecture on infinite-domain CSPs, one can only find","authors_text":"Michael Pinsker, Micha{\\l} Wrona, Tom\\'a\\v{s} Nagy","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CC","submitted_at":"2025-02-04T08:17:13Z","title":"New Sufficient Algebraic Conditions for Local Consistency over Homogeneous Structures of Finite Duality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.02090","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":"sha256:08072108af82da900baa2805b07c257e1aea220b6ef64ecd70d944206e23bb14","target":"record","created_at":"2026-07-05T10:09:23Z","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":"8c0bbc84300d8d6f16a8fb8b9925be4a25f11aa233dac7c9fa900200f82776a6","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CC","submitted_at":"2025-02-04T08:17:13Z","title_canon_sha256":"0a41aef2c44ea1ec730b09ed2aeea0eadc402bfa8352b69fa596691d50ddf4c0"},"schema_version":"1.0","source":{"id":"2502.02090","kind":"arxiv","version":1}},"canonical_sha256":"2a1ded55da31de84fc92e431dc92727a381464272f0c3b5428034e107cae97e4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2a1ded55da31de84fc92e431dc92727a381464272f0c3b5428034e107cae97e4","first_computed_at":"2026-07-05T10:09:23.640659Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:09:23.640659Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KyF9brYjgU5aYJC4k9j9YKO2GLpZz1BN98PR9c8ZYSo5qQ/XVKZMoHWYsxiCwAvFEDvqV0Lz6A0J6hlKTAtICQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:09:23.641064Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.02090","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:08072108af82da900baa2805b07c257e1aea220b6ef64ecd70d944206e23bb14","sha256:4c759092a0c30e832a8a557fe7ecb22cff7251d19371758deca38ae72a2bec8d"],"state_sha256":"f4b64f12f239c374b978a38a39bd82b65c727ec1c3981313f9ff892764e8b6bd"}