{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:D5ARFW73KDKJIRVDEZLCKO3UPP","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":"828d995155af4227c6838def2bc46f902cebb810c3239f991493ad985851405c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-10-17T23:45:17Z","title_canon_sha256":"3ad71b068305e50eee8136ee88a1e6ed095b8d10dc6c5042aeca428a250d2631"},"schema_version":"1.0","source":{"id":"1610.05384","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.05384","created_at":"2026-05-18T01:01:59Z"},{"alias_kind":"arxiv_version","alias_value":"1610.05384v1","created_at":"2026-05-18T01:01:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.05384","created_at":"2026-05-18T01:01:59Z"},{"alias_kind":"pith_short_12","alias_value":"D5ARFW73KDKJ","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"D5ARFW73KDKJIRVD","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"D5ARFW73","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:58471990cfddbcb73ac1ce73130965e284ab9502965a9fef02c2dee338943e0b","target":"graph","created_at":"2026-05-18T01:01:59Z","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":"To the working physicist, anyon theory is meant to describe certain quasi-particle excitations occurring in two dimensional topologically ordered systems. A typical calculation using this theory will involve operations such as $\\otimes$ to combine anyons, $F^{abc}_{d}$ to re-associate such combinations, and $R^{ab}_c$ to commute or braid these anyons. Although there is a powerful string-diagram notation that greatly assists these manipulations, we still appear to be operating on particles arranged on a one-dimensional line, algebraically ordered from left to right. The obvious question is, whe","authors_text":"Simon Burton","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-10-17T23:45:17Z","title":"A Short Guide to Anyons and Modular Functors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.05384","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":"sha256:828d939d21f6abd4e8fc69e6b911a32bbf0470d25e059b5321a114ab28518b52","target":"record","created_at":"2026-05-18T01:01:59Z","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":"828d995155af4227c6838def2bc46f902cebb810c3239f991493ad985851405c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-10-17T23:45:17Z","title_canon_sha256":"3ad71b068305e50eee8136ee88a1e6ed095b8d10dc6c5042aeca428a250d2631"},"schema_version":"1.0","source":{"id":"1610.05384","kind":"arxiv","version":1}},"canonical_sha256":"1f4112dbfb50d49446a32656253b747bc0329bf701442b00681a99036e0fe4d0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1f4112dbfb50d49446a32656253b747bc0329bf701442b00681a99036e0fe4d0","first_computed_at":"2026-05-18T01:01:59.486756Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:59.486756Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YlHERQWwfARoDA8Lq4S5RmatOmaH+FYtrxlWBqZd63Be/HKi8yOxhYdiUbVe0+8ns8rJ/BNiTrbwo54DgGd7Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:59.487312Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.05384","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:828d939d21f6abd4e8fc69e6b911a32bbf0470d25e059b5321a114ab28518b52","sha256:58471990cfddbcb73ac1ce73130965e284ab9502965a9fef02c2dee338943e0b"],"state_sha256":"86da0c31ecf4e669f9871ff7b2884392252aec368b2b25e8c29e90ac46e49aba"}