{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:3RRJKNBLKSXTG4HOISTMRXHQFO","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":"fe9a939c67e3257105adad1c4265e0e3810f458eecbbd69a049d37003744d3cf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-05-14T17:11:00Z","title_canon_sha256":"ea9d46f5c1df4f608272f04eaaa412547e9add7b036193eb2b16560946992d03"},"schema_version":"1.0","source":{"id":"1805.05296","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.05296","created_at":"2026-05-18T00:16:03Z"},{"alias_kind":"arxiv_version","alias_value":"1805.05296v1","created_at":"2026-05-18T00:16:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.05296","created_at":"2026-05-18T00:16:03Z"},{"alias_kind":"pith_short_12","alias_value":"3RRJKNBLKSXT","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"3RRJKNBLKSXTG4HO","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"3RRJKNBL","created_at":"2026-05-18T12:32:02Z"}],"graph_snapshots":[{"event_id":"sha256:c9ad012b0e6e495a763e913c1336fde11850851f6ab7a411c3d99b878abbc0f2","target":"graph","created_at":"2026-05-18T00:16:03Z","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":"Recent completeness results on the ZX-Calculus used a third-party language, namely the ZW-Calculus. As a consequence, these proofs are elegant, but sadly non-constructive. We address this issue in the following. To do so, we first describe a generic normal form for ZX-diagrams in any fragment that contains Clifford+T quantum mechanics. We give sufficient conditions for an axiomatisation to be complete, and an algorithm to reach the normal form. Finally, we apply these results to the Clifford+T fragment and the general ZX-Calculus -- for which we already know the completeness--, but also for an","authors_text":"Emmanuel Jeandel, Renaud Vilmart, Simon Perdrix","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-05-14T17:11:00Z","title":"A Generic Normal Form for ZX-Diagrams and Application to the Rational Angle Completeness"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.05296","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":"sha256:760c47e5fa1521b04a431c66ac9eb969edb6f44874a48f1ac3cb1cc6650b3812","target":"record","created_at":"2026-05-18T00:16:03Z","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":"fe9a939c67e3257105adad1c4265e0e3810f458eecbbd69a049d37003744d3cf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-05-14T17:11:00Z","title_canon_sha256":"ea9d46f5c1df4f608272f04eaaa412547e9add7b036193eb2b16560946992d03"},"schema_version":"1.0","source":{"id":"1805.05296","kind":"arxiv","version":1}},"canonical_sha256":"dc6295342b54af3370ee44a6c8dcf02b8ee34d0beeb5741031309755b9f991f6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dc6295342b54af3370ee44a6c8dcf02b8ee34d0beeb5741031309755b9f991f6","first_computed_at":"2026-05-18T00:16:03.505123Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:03.505123Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2ZKcz/Pgk/Voy6Uof0zBturftBTwj1utrRirE313xzUd+wLY2DJx+S2F0Igq49tHqS4j80LFRCtU2whKJPjLAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:03.505496Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.05296","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:760c47e5fa1521b04a431c66ac9eb969edb6f44874a48f1ac3cb1cc6650b3812","sha256:c9ad012b0e6e495a763e913c1336fde11850851f6ab7a411c3d99b878abbc0f2"],"state_sha256":"883cc811f617fd37ff383cbad573d870a29b8adb9c6d9c0a49c21b1367bc9490"}