{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:HKK2SLALQCVAJI23OVPUAOXW5P","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":"953dbb6c2c2b31c436771de366b2f8d5a364e2be8c7f479945018cc309406be8","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-05-12T21:04:41Z","title_canon_sha256":"8f40aaf01704cd7dd490b3fc56266c3fac032325eaa1f0b81179dc33e806fb10"},"schema_version":"1.0","source":{"id":"1405.2963","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.2963","created_at":"2026-05-18T02:25:47Z"},{"alias_kind":"arxiv_version","alias_value":"1405.2963v3","created_at":"2026-05-18T02:25:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.2963","created_at":"2026-05-18T02:25:47Z"},{"alias_kind":"pith_short_12","alias_value":"HKK2SLALQCVA","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"HKK2SLALQCVAJI23","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"HKK2SLAL","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:ed6827fbe2ec3ebea56e099ad1ce1b2bd242e907fedfb80f9bd1a183e50ca8a5","target":"graph","created_at":"2026-05-18T02:25:47Z","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":"Nematic phases, breaking spontaneously rotational symmetry, provide for ubiquitously observed states of matter in both classical and quantum systems. These nematic states may be further classified by their $N$--fold rotational invariance described by cyclic groups $C_N$ in 2+1D. Starting from the space groups of underlying $2d$ crystals, we present a general classification scheme incorporating $C_N$ nematic phases that arise from dislocation-mediated melting and discuss the conventional tensor order parameters. By coupling the $O(2)$ matter fields to the $Z_N$ lattice gauge theory, an unified ","authors_text":"Jaakko Nissinen, Jan Zaanen, Kai Wu, Ke Liu, Robert-Jan Slager, Zohar Nussinov","cross_cats":["cond-mat.soft"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-05-12T21:04:41Z","title":"Classification of nematic order in 2+1D: Dislocation melting and $O(2)/Z_N$ lattice gauge theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.2963","kind":"arxiv","version":3},"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":"sha256:0448b44bd5432d74aed625074ed0749de87316116ef6e82d5319140d8595f84a","target":"record","created_at":"2026-05-18T02:25:47Z","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":"953dbb6c2c2b31c436771de366b2f8d5a364e2be8c7f479945018cc309406be8","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-05-12T21:04:41Z","title_canon_sha256":"8f40aaf01704cd7dd490b3fc56266c3fac032325eaa1f0b81179dc33e806fb10"},"schema_version":"1.0","source":{"id":"1405.2963","kind":"arxiv","version":3}},"canonical_sha256":"3a95a92c0b80aa04a35b755f403af6ebefa70227a50cd03c8dc2644a6b3e460e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a95a92c0b80aa04a35b755f403af6ebefa70227a50cd03c8dc2644a6b3e460e","first_computed_at":"2026-05-18T02:25:47.344638Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:25:47.344638Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8f+F7i0wMfIjMELltA7NPP78KpEsp02N4/aoE/Z2VHKJricrrF8N3ahShSS1ycaYKBWO81nY2GFO/GA2Z82aAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:25:47.345102Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.2963","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0448b44bd5432d74aed625074ed0749de87316116ef6e82d5319140d8595f84a","sha256:ed6827fbe2ec3ebea56e099ad1ce1b2bd242e907fedfb80f9bd1a183e50ca8a5"],"state_sha256":"b214ddb2a9815cdd26603c10a52695a708a6c2ec791d844ef51340ba204bb97f"}