{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:YSH5ZS5SYCLOAUHU7GFW4RXME4","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":"7d48c2db20b83a9fe1efd960939838e78a5972981db1f249eda37cbe196607f4","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2016-12-27T06:54:55Z","title_canon_sha256":"3cc26b6727c5cb11ca02c1bb525370bc75bf979683bc1bc0947946e302ea15f9"},"schema_version":"1.0","source":{"id":"1612.08514","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.08514","created_at":"2026-05-18T00:32:44Z"},{"alias_kind":"arxiv_version","alias_value":"1612.08514v3","created_at":"2026-05-18T00:32:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.08514","created_at":"2026-05-18T00:32:44Z"},{"alias_kind":"pith_short_12","alias_value":"YSH5ZS5SYCLO","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"YSH5ZS5SYCLOAUHU","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"YSH5ZS5S","created_at":"2026-05-18T12:30:53Z"}],"graph_snapshots":[{"event_id":"sha256:86cd446ceab09894d767807208ae1d0a9fe36ebfbd3c6ab543dd289d51ad99d8","target":"graph","created_at":"2026-05-18T00:32:44Z","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 generic framework for the emergence of the $\\mathbb{Z}_2$ toric-code and the double-semion topological order in a wide class of hardcore Bose-Hubbard-type models governed by density-density interaction and in the strong-interaction regime. We fix fractional filling factor and study under which conditions the density-density interaction gives rise to topological degeneracy. We further specify which dynamics determines the toric-code and the double-semion topological order. Our results indicate that the specifics of the density-density interaction determine the long-range entangleme","authors_text":"Barbara Capogrosso-Sansone, Wei Wang","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2016-12-27T06:54:55Z","title":"The $\\mathbb{Z}_2$ toric-code and the double-semion topological order of hardcore Bose-Hubbard-type models in the strong-interaction limit"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.08514","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":"sha256:46643a99943e31bdc4864e0a62c7b2a1198e35a9d971991385b11682e44e7dd9","target":"record","created_at":"2026-05-18T00:32:44Z","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":"7d48c2db20b83a9fe1efd960939838e78a5972981db1f249eda37cbe196607f4","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2016-12-27T06:54:55Z","title_canon_sha256":"3cc26b6727c5cb11ca02c1bb525370bc75bf979683bc1bc0947946e302ea15f9"},"schema_version":"1.0","source":{"id":"1612.08514","kind":"arxiv","version":3}},"canonical_sha256":"c48fdccbb2c096e050f4f98b6e46ec2731e7e566176b6970b0fb3db2ba3216e2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c48fdccbb2c096e050f4f98b6e46ec2731e7e566176b6970b0fb3db2ba3216e2","first_computed_at":"2026-05-18T00:32:44.034294Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:32:44.034294Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PRRRTN0V4qDMZdC6OnIeYLWPzIEsSsHmM0NWUdNpZx+WD5JwtwJtncvhTjf4njQXTLAciG/fRzJkZ5RgP/S0Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:32:44.034939Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.08514","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:46643a99943e31bdc4864e0a62c7b2a1198e35a9d971991385b11682e44e7dd9","sha256:86cd446ceab09894d767807208ae1d0a9fe36ebfbd3c6ab543dd289d51ad99d8"],"state_sha256":"99d340130b6a93c6d4bf38b00d0793228c0ff635466afb8384e310b47e8b315a"}