{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:YDQXATAILAVVCJNSYG6AMSLWTW","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":"f7389443ba70eed62849a5e07eb52330747b15f6f73988a70f6f37eb2d18bbec","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2015-05-12T13:08:25Z","title_canon_sha256":"0be0cda20fa0849c03e97e03ff93c8c5437b6e95e04018ab4bcc469577b492fa"},"schema_version":"1.0","source":{"id":"1505.02993","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.02993","created_at":"2026-05-18T02:14:15Z"},{"alias_kind":"arxiv_version","alias_value":"1505.02993v1","created_at":"2026-05-18T02:14:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.02993","created_at":"2026-05-18T02:14:15Z"},{"alias_kind":"pith_short_12","alias_value":"YDQXATAILAVV","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"YDQXATAILAVVCJNS","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"YDQXATAI","created_at":"2026-05-18T12:29:50Z"}],"graph_snapshots":[{"event_id":"sha256:340e138caff2987648e257fc2316c4b8afc9b82b8ba8232158f65f33f1eaef36","target":"graph","created_at":"2026-05-18T02:14:15Z","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":"We prove a complexity dichotomy for complex-weighted Holant problems with an arbitrary set of symmetric constraint functions on Boolean variables. This dichotomy is specifically to answer the question: Is the FKT algorithm under a holographic transformation a \\emph{universal} strategy to obtain polynomial-time algorithms for problems over planar graphs that are intractable in general? This dichotomy is a culmination of previous ones, including those for Spin Systems, Holant, and #CSP. A recurring theme has been that a holographic reduction to FKT is a universal strategy. Surprisingly, for plan","authors_text":"Heng Guo, Jin-Yi Cai, Tyson Williams, Zhiguo Fu","cross_cats":["cs.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2015-05-12T13:08:25Z","title":"A Holant Dichotomy: Is the FKT Algorithm Universal?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.02993","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:d076fe36616478d61ba11baa710fdf04cae784010a60476b204393f5397ae065","target":"record","created_at":"2026-05-18T02:14:15Z","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":"f7389443ba70eed62849a5e07eb52330747b15f6f73988a70f6f37eb2d18bbec","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2015-05-12T13:08:25Z","title_canon_sha256":"0be0cda20fa0849c03e97e03ff93c8c5437b6e95e04018ab4bcc469577b492fa"},"schema_version":"1.0","source":{"id":"1505.02993","kind":"arxiv","version":1}},"canonical_sha256":"c0e1704c08582b5125b2c1bc0649769d9f2c6fa16fe6145ca6583135bffabe37","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c0e1704c08582b5125b2c1bc0649769d9f2c6fa16fe6145ca6583135bffabe37","first_computed_at":"2026-05-18T02:14:15.340028Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:14:15.340028Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v1JmRMXqcpX9Mf9KuhB/xb/vZD/Rcjz6GWbN1c2ible76PuOxo+bpzsZeCDKGk5vuWn2ILmjyndc1SQi68cyAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:14:15.340827Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.02993","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d076fe36616478d61ba11baa710fdf04cae784010a60476b204393f5397ae065","sha256:340e138caff2987648e257fc2316c4b8afc9b82b8ba8232158f65f33f1eaef36"],"state_sha256":"57a2599447c3dc84fada4c41498cbf40c4d3e22cdce2cec0d61e4c14d25f9728"}