{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:QGIYBKBHII63LRBODEYUUQFZTE","short_pith_number":"pith:QGIYBKBH","schema_version":"1.0","canonical_sha256":"819180a827423db5c42e19314a40b9992e9acce3025a2985933f3e1189b0028f","source":{"kind":"arxiv","id":"2305.05774","version":2},"attestation_state":"computed","paper":{"title":"Fusion Surface Models: 2+1d Lattice Models from Fusion 2-Categories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-th","math.QA"],"primary_cat":"cond-mat.str-el","authors_text":"Kansei Inamura, Kantaro Ohmori","submitted_at":"2023-05-09T21:31:52Z","abstract_excerpt":"We construct (2+1)-dimensional lattice systems, which we call fusion surface models. These models have finite non-invertible symmetries described by general fusion 2-categories. Our method can be applied to build microscopic models with, for example, anomalous or non-anomalous one-form symmetries, 2-group symmetries, or non-invertible one-form symmetries that capture non-abelian anyon statistics. The construction of these models generalizes the construction of the 1+1d anyon chains formalized by Aasen, Fendley, and Mong. Along with the fusion surface models, we also obtain the corresponding th"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2305.05774","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2023-05-09T21:31:52Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math.QA"],"title_canon_sha256":"19847621e978c8a466dad369495a1eb3cf7b203a36ea24d161959d517c7dd42c","abstract_canon_sha256":"2fe168cd9b1b38bafdf660d6297cb4557bd5100f7960dae64134aa6c62e1e8b5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:26:56.856372Z","signature_b64":"hXpclrDWyGpSQULiOFsoNOVfsVQWXWoZL2xGEZSQf9cGGyOjy9iWnYlehGBE9mMV7jsnNG+wVUiqhgVRZbQYAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"819180a827423db5c42e19314a40b9992e9acce3025a2985933f3e1189b0028f","last_reissued_at":"2026-07-05T08:26:56.855770Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:26:56.855770Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fusion Surface Models: 2+1d Lattice Models from Fusion 2-Categories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-th","math.QA"],"primary_cat":"cond-mat.str-el","authors_text":"Kansei Inamura, Kantaro Ohmori","submitted_at":"2023-05-09T21:31:52Z","abstract_excerpt":"We construct (2+1)-dimensional lattice systems, which we call fusion surface models. These models have finite non-invertible symmetries described by general fusion 2-categories. Our method can be applied to build microscopic models with, for example, anomalous or non-anomalous one-form symmetries, 2-group symmetries, or non-invertible one-form symmetries that capture non-abelian anyon statistics. The construction of these models generalizes the construction of the 1+1d anyon chains formalized by Aasen, Fendley, and Mong. Along with the fusion surface models, we also obtain the corresponding th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.05774","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2305.05774/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2305.05774","created_at":"2026-07-05T08:26:56.855864+00:00"},{"alias_kind":"arxiv_version","alias_value":"2305.05774v2","created_at":"2026-07-05T08:26:56.855864+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.05774","created_at":"2026-07-05T08:26:56.855864+00:00"},{"alias_kind":"pith_short_12","alias_value":"QGIYBKBHII63","created_at":"2026-07-05T08:26:56.855864+00:00"},{"alias_kind":"pith_short_16","alias_value":"QGIYBKBHII63LRBO","created_at":"2026-07-05T08:26:56.855864+00:00"},{"alias_kind":"pith_short_8","alias_value":"QGIYBKBH","created_at":"2026-07-05T08:26:56.855864+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":8,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.28946","citing_title":"Constrained integrability and anyonic chains","ref_index":127,"is_internal_anchor":false},{"citing_arxiv_id":"2308.00747","citing_title":"What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries","ref_index":116,"is_internal_anchor":false},{"citing_arxiv_id":"2405.05964","citing_title":"Lattice Models for Phases and Transitions with Non-Invertible Symmetries","ref_index":48,"is_internal_anchor":false},{"citing_arxiv_id":"2307.07547","citing_title":"Lectures on Generalized Symmetries","ref_index":169,"is_internal_anchor":false},{"citing_arxiv_id":"2305.18296","citing_title":"ICTP Lectures on (Non-)Invertible Generalized Symmetries","ref_index":64,"is_internal_anchor":false},{"citing_arxiv_id":"2602.11696","citing_title":"Symmetry Spans and Enforced Gaplessness","ref_index":130,"is_internal_anchor":false},{"citing_arxiv_id":"2604.20201","citing_title":"Symmetry breaking phases and transitions in an Ising fusion category lattice model","ref_index":56,"is_internal_anchor":false},{"citing_arxiv_id":"2604.12907","citing_title":"Hilbert Space Fragmentation from Generalized Symmetries","ref_index":54,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QGIYBKBHII63LRBODEYUUQFZTE","json":"https://pith.science/pith/QGIYBKBHII63LRBODEYUUQFZTE.json","graph_json":"https://pith.science/api/pith-number/QGIYBKBHII63LRBODEYUUQFZTE/graph.json","events_json":"https://pith.science/api/pith-number/QGIYBKBHII63LRBODEYUUQFZTE/events.json","paper":"https://pith.science/paper/QGIYBKBH"},"agent_actions":{"view_html":"https://pith.science/pith/QGIYBKBHII63LRBODEYUUQFZTE","download_json":"https://pith.science/pith/QGIYBKBHII63LRBODEYUUQFZTE.json","view_paper":"https://pith.science/paper/QGIYBKBH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2305.05774&json=true","fetch_graph":"https://pith.science/api/pith-number/QGIYBKBHII63LRBODEYUUQFZTE/graph.json","fetch_events":"https://pith.science/api/pith-number/QGIYBKBHII63LRBODEYUUQFZTE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QGIYBKBHII63LRBODEYUUQFZTE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QGIYBKBHII63LRBODEYUUQFZTE/action/storage_attestation","attest_author":"https://pith.science/pith/QGIYBKBHII63LRBODEYUUQFZTE/action/author_attestation","sign_citation":"https://pith.science/pith/QGIYBKBHII63LRBODEYUUQFZTE/action/citation_signature","submit_replication":"https://pith.science/pith/QGIYBKBHII63LRBODEYUUQFZTE/action/replication_record"}},"created_at":"2026-07-05T08:26:56.855864+00:00","updated_at":"2026-07-05T08:26:56.855864+00:00"}