{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:PT5W3PXM7RH2RWHOW2SD3CASXB","short_pith_number":"pith:PT5W3PXM","canonical_record":{"source":{"id":"1701.04086","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2017-01-15T17:54:19Z","cross_cats_sorted":["cs.CC"],"title_canon_sha256":"c4008bd2f3faf02f1c3beea507bd4e6291f0bbe6e98c34634240c541b2353f96","abstract_canon_sha256":"4acf57f00eaa7bd72c4a39f82137eb3851b725e9e5ee83f9d44391e4569d9c02"},"schema_version":"1.0"},"canonical_sha256":"7cfb6dbeecfc4fa8d8eeb6a43d8812b8686827652713d8bc7b226f3f9f2d98de","source":{"kind":"arxiv","id":"1701.04086","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.04086","created_at":"2026-05-18T00:45:30Z"},{"alias_kind":"arxiv_version","alias_value":"1701.04086v2","created_at":"2026-05-18T00:45:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.04086","created_at":"2026-05-18T00:45:30Z"},{"alias_kind":"pith_short_12","alias_value":"PT5W3PXM7RH2","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"PT5W3PXM7RH2RWHO","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"PT5W3PXM","created_at":"2026-05-18T12:31:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:PT5W3PXM7RH2RWHOW2SD3CASXB","target":"record","payload":{"canonical_record":{"source":{"id":"1701.04086","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2017-01-15T17:54:19Z","cross_cats_sorted":["cs.CC"],"title_canon_sha256":"c4008bd2f3faf02f1c3beea507bd4e6291f0bbe6e98c34634240c541b2353f96","abstract_canon_sha256":"4acf57f00eaa7bd72c4a39f82137eb3851b725e9e5ee83f9d44391e4569d9c02"},"schema_version":"1.0"},"canonical_sha256":"7cfb6dbeecfc4fa8d8eeb6a43d8812b8686827652713d8bc7b226f3f9f2d98de","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:30.122748Z","signature_b64":"ZgyTxgkWllrSSUURo4cBEdWmerpB+46hZ7CiMXz0rUR4Em+8cbAMS9JgL0YCcRcCNZjhQQlU9vmudLgU10OiAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7cfb6dbeecfc4fa8d8eeb6a43d8812b8686827652713d8bc7b226f3f9f2d98de","last_reissued_at":"2026-05-18T00:45:30.122119Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:30.122119Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.04086","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:45:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ws695yuz2CROjiOgswNwqVOpppbyRUeFxL6ul3GJapAr3M4w1y+/eX4PEx/k8aNGcTc+0+UlSXChwDahFjDzDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T04:50:53.819154Z"},"content_sha256":"1de75c5e3a8b970675ec172d671da05096e9dbdbc41071a95a1b627aa7768799","schema_version":"1.0","event_id":"sha256:1de75c5e3a8b970675ec172d671da05096e9dbdbc41071a95a1b627aa7768799"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:PT5W3PXM7RH2RWHOW2SD3CASXB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The complexity of quantified constraints using the algebraic formulation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CC"],"primary_cat":"cs.LO","authors_text":"Barnaby Martin, Catarina Carvalho, Dmitriy Zhuk","submitted_at":"2017-01-15T17:54:19Z","abstract_excerpt":"Let A be an idempotent algebra on a finite domain. We combine results of Chen, Zhuk and Carvalho et al. to argue that if A satisfies the polynomially generated powers property (PGP), then QCSP(Inv(A)) is in NP. We then use the result of Zhuk to prove a converse, that if QCSP(Inv(A)) satisfies the exponentially generated powers property (EGP), then QCSP(Inv(A)) is co-NP-hard. Since Zhuk proved that only PGP and EGP are possible, we derive a full dichotomy for the QCSP, justifying the moral correctness of what we term the Chen Conjecture.\n  We examine in closer detail the situation for domains o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.04086","kind":"arxiv","version":2},"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":"2026-05-18T00:45:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7LK6ZesMZM83wg7SK0UuZ/GxXgqM/uS5ztokAH1GrvlWJw2j6TCj+937EiC504UQDTTcN0C3PBP1Ar/ocKfdAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T04:50:53.819520Z"},"content_sha256":"d1fbbe6609ff9c123dc81c16a98e13fd4ba0039dc5e37874e7f3eeef76e8c245","schema_version":"1.0","event_id":"sha256:d1fbbe6609ff9c123dc81c16a98e13fd4ba0039dc5e37874e7f3eeef76e8c245"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PT5W3PXM7RH2RWHOW2SD3CASXB/bundle.json","state_url":"https://pith.science/pith/PT5W3PXM7RH2RWHOW2SD3CASXB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PT5W3PXM7RH2RWHOW2SD3CASXB/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":"2026-06-02T04:50:53Z","links":{"resolver":"https://pith.science/pith/PT5W3PXM7RH2RWHOW2SD3CASXB","bundle":"https://pith.science/pith/PT5W3PXM7RH2RWHOW2SD3CASXB/bundle.json","state":"https://pith.science/pith/PT5W3PXM7RH2RWHOW2SD3CASXB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PT5W3PXM7RH2RWHOW2SD3CASXB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:PT5W3PXM7RH2RWHOW2SD3CASXB","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":"4acf57f00eaa7bd72c4a39f82137eb3851b725e9e5ee83f9d44391e4569d9c02","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2017-01-15T17:54:19Z","title_canon_sha256":"c4008bd2f3faf02f1c3beea507bd4e6291f0bbe6e98c34634240c541b2353f96"},"schema_version":"1.0","source":{"id":"1701.04086","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.04086","created_at":"2026-05-18T00:45:30Z"},{"alias_kind":"arxiv_version","alias_value":"1701.04086v2","created_at":"2026-05-18T00:45:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.04086","created_at":"2026-05-18T00:45:30Z"},{"alias_kind":"pith_short_12","alias_value":"PT5W3PXM7RH2","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"PT5W3PXM7RH2RWHO","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"PT5W3PXM","created_at":"2026-05-18T12:31:37Z"}],"graph_snapshots":[{"event_id":"sha256:d1fbbe6609ff9c123dc81c16a98e13fd4ba0039dc5e37874e7f3eeef76e8c245","target":"graph","created_at":"2026-05-18T00:45:30Z","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":"Let A be an idempotent algebra on a finite domain. We combine results of Chen, Zhuk and Carvalho et al. to argue that if A satisfies the polynomially generated powers property (PGP), then QCSP(Inv(A)) is in NP. We then use the result of Zhuk to prove a converse, that if QCSP(Inv(A)) satisfies the exponentially generated powers property (EGP), then QCSP(Inv(A)) is co-NP-hard. Since Zhuk proved that only PGP and EGP are possible, we derive a full dichotomy for the QCSP, justifying the moral correctness of what we term the Chen Conjecture.\n  We examine in closer detail the situation for domains o","authors_text":"Barnaby Martin, Catarina Carvalho, Dmitriy Zhuk","cross_cats":["cs.CC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2017-01-15T17:54:19Z","title":"The complexity of quantified constraints using the algebraic formulation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.04086","kind":"arxiv","version":2},"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":"sha256:1de75c5e3a8b970675ec172d671da05096e9dbdbc41071a95a1b627aa7768799","target":"record","created_at":"2026-05-18T00:45:30Z","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":"4acf57f00eaa7bd72c4a39f82137eb3851b725e9e5ee83f9d44391e4569d9c02","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2017-01-15T17:54:19Z","title_canon_sha256":"c4008bd2f3faf02f1c3beea507bd4e6291f0bbe6e98c34634240c541b2353f96"},"schema_version":"1.0","source":{"id":"1701.04086","kind":"arxiv","version":2}},"canonical_sha256":"7cfb6dbeecfc4fa8d8eeb6a43d8812b8686827652713d8bc7b226f3f9f2d98de","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7cfb6dbeecfc4fa8d8eeb6a43d8812b8686827652713d8bc7b226f3f9f2d98de","first_computed_at":"2026-05-18T00:45:30.122119Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:30.122119Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZgyTxgkWllrSSUURo4cBEdWmerpB+46hZ7CiMXz0rUR4Em+8cbAMS9JgL0YCcRcCNZjhQQlU9vmudLgU10OiAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:30.122748Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.04086","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1de75c5e3a8b970675ec172d671da05096e9dbdbc41071a95a1b627aa7768799","sha256:d1fbbe6609ff9c123dc81c16a98e13fd4ba0039dc5e37874e7f3eeef76e8c245"],"state_sha256":"7d962ebad06ef61d88c438b45b26d4b742ff6909e3362052cd6f5bb11b85c74c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FGvIOZP/5BfNWTLLxnNh7hpwtsYlcjoDJ36xezjncFIY7BKvIxqI9ye7neaIQ5Fmoaq5y21SFFAH1cuWNvDOAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T04:50:53.821474Z","bundle_sha256":"f603adc4ae63fda94ec4f54705e5dbf2a8b3c764a06381d7ec20e287d3c835da"}}