{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:OFII24FJ5OF564HLSLHEULTYYM","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":"e62dc0bf8b7d8939bc890c9f5b09df568bcca8f7fba29884877a82b69b34e5b3","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-02-25T21:01:49Z","title_canon_sha256":"8ba083badc3b4c99de9567a2c17b7b5953a15ae61bc0d27b9fbc348f7220cdf3"},"schema_version":"1.0","source":{"id":"1302.6248","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.6248","created_at":"2026-05-18T03:13:21Z"},{"alias_kind":"arxiv_version","alias_value":"1302.6248v4","created_at":"2026-05-18T03:13:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.6248","created_at":"2026-05-18T03:13:21Z"},{"alias_kind":"pith_short_12","alias_value":"OFII24FJ5OF5","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"OFII24FJ5OF564HL","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"OFII24FJ","created_at":"2026-05-18T12:27:54Z"}],"graph_snapshots":[{"event_id":"sha256:768ee013ca0bd6e7bb6fab6f90f962a70a4f9537b2c18314eba5c2d466b93b81","target":"graph","created_at":"2026-05-18T03:13:21Z","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 present a large class of three-dimensional spin models that possess topological order with stability against local perturbations, but are beyond description of topological quantum field theory. Conventional topological spin liquids, on a formal level, may be viewed as condensation of string-like extended objects with discrete gauge symmetries, being at fixed points with continuous scale symmetries. In contrast, ground states of fractal spin liquids are condensation of highly-fluctuating fractal objects with certain algebraic symmetries, corresponding to limit cycles under real-space renorma","authors_text":"Beni Yoshida","cross_cats":["cond-mat.stat-mech","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-02-25T21:01:49Z","title":"Exotic topological order in fractal spin liquids"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.6248","kind":"arxiv","version":4},"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:e5206edcc88b4a11ef7a71f002c111798c1c44bc91e48075d359069bcafe503c","target":"record","created_at":"2026-05-18T03:13:21Z","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":"e62dc0bf8b7d8939bc890c9f5b09df568bcca8f7fba29884877a82b69b34e5b3","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-02-25T21:01:49Z","title_canon_sha256":"8ba083badc3b4c99de9567a2c17b7b5953a15ae61bc0d27b9fbc348f7220cdf3"},"schema_version":"1.0","source":{"id":"1302.6248","kind":"arxiv","version":4}},"canonical_sha256":"71508d70a9eb8bdf70eb92ce4a2e78c31358df5346b95a5f959c2488b18ef259","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"71508d70a9eb8bdf70eb92ce4a2e78c31358df5346b95a5f959c2488b18ef259","first_computed_at":"2026-05-18T03:13:21.576245Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:13:21.576245Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tlFZdscG2xW+kJyNd7/KlJ4tHIoNGNi+FZ3f5jwEYExPSA1kGMs2KDndvIMGVFBTp0fXcyJ8Dt9Mz1v4NnEoAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:13:21.577116Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.6248","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e5206edcc88b4a11ef7a71f002c111798c1c44bc91e48075d359069bcafe503c","sha256:768ee013ca0bd6e7bb6fab6f90f962a70a4f9537b2c18314eba5c2d466b93b81"],"state_sha256":"1f5ead0dd57a28c4bfbc5071ff047cb00bf906b7a4e831259e366c6f9df06280"}