{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:VMYFSFXUBXVOD75EDCZJZXT5SD","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":"bb63ca62772eedb699718b5bade7c9a8dcc77a537b4a6a0c59f47b2c7f281a75","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-06-02T18:41:56Z","title_canon_sha256":"ba6fd44f10279b26469831e92639ea9ca3041dfc0d2d7ad2c6ee7d2e2caa2208"},"schema_version":"1.0","source":{"id":"1606.00793","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.00793","created_at":"2026-05-18T01:07:16Z"},{"alias_kind":"arxiv_version","alias_value":"1606.00793v1","created_at":"2026-05-18T01:07:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.00793","created_at":"2026-05-18T01:07:16Z"},{"alias_kind":"pith_short_12","alias_value":"VMYFSFXUBXVO","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"VMYFSFXUBXVOD75E","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"VMYFSFXU","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:0b17c05bc40f6e35524b600ffb7dea002cdb1a936c7779f5ebdece40022713e8","target":"graph","created_at":"2026-05-18T01:07:16Z","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":"Commuting transfer matrices for linear chains of interacting non-Abelian anyons from the two-dimensional irreducible representation of the dihedral group $D_3$ (or, equivalently, the integer sector of the $su(2)_4$ spin-$1$ chain) are constructed using the spin-anyon correspondence to a $D_3$-symmetric formulation of the XXZ Heisenberg spin chain. The spectral problem is solved using discrete inversion identities satisfied by these transfer matrices and functional Bethe ansatz methods. The resulting spectrum can be related to that of the XXZ spin-$1/2$ Heisenberg chain with boundary conditions","authors_text":"Holger Frahm, Natalia Braylovskaya, Peter E. Finch","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-06-02T18:41:56Z","title":"Exact solution of the $D_3$ non-Abelian anyon chain"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.00793","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":"sha256:93b3ed0c18c1e1112436dca98d045121c3ea3cb5d72ebf477bae8db00450f591","target":"record","created_at":"2026-05-18T01:07:16Z","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":"bb63ca62772eedb699718b5bade7c9a8dcc77a537b4a6a0c59f47b2c7f281a75","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-06-02T18:41:56Z","title_canon_sha256":"ba6fd44f10279b26469831e92639ea9ca3041dfc0d2d7ad2c6ee7d2e2caa2208"},"schema_version":"1.0","source":{"id":"1606.00793","kind":"arxiv","version":1}},"canonical_sha256":"ab305916f40deae1ffa418b29cde7d90de7eac60bfd930ebfe5633ac871ed954","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ab305916f40deae1ffa418b29cde7d90de7eac60bfd930ebfe5633ac871ed954","first_computed_at":"2026-05-18T01:07:16.209812Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:07:16.209812Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hkyynCgkNRrZKq8cggJ8OxxTelDlFqfKYQTGW7awueIMEdU10gzDASAw17k9UR8NHcci1oI+4DMtEEiJUdheAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:07:16.210259Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.00793","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:93b3ed0c18c1e1112436dca98d045121c3ea3cb5d72ebf477bae8db00450f591","sha256:0b17c05bc40f6e35524b600ffb7dea002cdb1a936c7779f5ebdece40022713e8"],"state_sha256":"0d6f2f4759de6e91d128a7c0ce55ba5e2821641165f264b2aa3b067a4747ced7"}