{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:DDWIW3SXQYGEUNPV55X4FME5WF","short_pith_number":"pith:DDWIW3SX","schema_version":"1.0","canonical_sha256":"18ec8b6e57860c4a35f5ef6fc2b09db15b694247884b9062078449618f015816","source":{"kind":"arxiv","id":"2003.04328","version":3},"attestation_state":"computed","paper":{"title":"Bulk Anyons as Edge Symmetries: Boundary Phase Diagrams of Topologically Ordered States","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","cond-mat.stat-mech","hep-th"],"primary_cat":"cond-mat.str-el","authors_text":"Ady Stern, Erez Berg, Netanel H. Lindner, Ryan Thorngren, Tsuf Lichtman","submitted_at":"2020-03-09T18:00:05Z","abstract_excerpt":"We study effectively one-dimensional systems that emerge at the edge of a two-dimensional topologically ordered state, or at the boundary between two topologically ordered states. We argue that anyons of the bulk are associated with emergent symmetries of the edge, which play a crucial role in the structure of its phase diagram. Using this symmetry principle, transitions between distinct gapped phases at the boundaries of Abelian states can be understood in terms of symmetry breaking transitions or transitions between symmetry protected topological phases. Yet more exotic phenomena occur when "},"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":"2003.04328","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2020-03-09T18:00:05Z","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.stat-mech","hep-th"],"title_canon_sha256":"59fb23f08468057d29fe152238138b855935ba53c879186240f2ce7e81db4309","abstract_canon_sha256":"c74e7bdfcb2bcb0641ad8da82c267c7ce693cdc7707539d74f40d043944f63cc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:08:18.834430Z","signature_b64":"REGwuBn0wjJfaVWFfwPxCeZPSbWV475i6pty6tLBD6K6JqB1z1Y0LbZztx2Ae6NvVrVMfonVxqy1v4imlk5DDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"18ec8b6e57860c4a35f5ef6fc2b09db15b694247884b9062078449618f015816","last_reissued_at":"2026-07-05T03:08:18.834015Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:08:18.834015Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bulk Anyons as Edge Symmetries: Boundary Phase Diagrams of Topologically Ordered States","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","cond-mat.stat-mech","hep-th"],"primary_cat":"cond-mat.str-el","authors_text":"Ady Stern, Erez Berg, Netanel H. Lindner, Ryan Thorngren, Tsuf Lichtman","submitted_at":"2020-03-09T18:00:05Z","abstract_excerpt":"We study effectively one-dimensional systems that emerge at the edge of a two-dimensional topologically ordered state, or at the boundary between two topologically ordered states. We argue that anyons of the bulk are associated with emergent symmetries of the edge, which play a crucial role in the structure of its phase diagram. Using this symmetry principle, transitions between distinct gapped phases at the boundaries of Abelian states can be understood in terms of symmetry breaking transitions or transitions between symmetry protected topological phases. Yet more exotic phenomena occur when "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2003.04328","kind":"arxiv","version":3},"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/2003.04328/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":"2003.04328","created_at":"2026-07-05T03:08:18.834073+00:00"},{"alias_kind":"arxiv_version","alias_value":"2003.04328v3","created_at":"2026-07-05T03:08:18.834073+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2003.04328","created_at":"2026-07-05T03:08:18.834073+00:00"},{"alias_kind":"pith_short_12","alias_value":"DDWIW3SXQYGE","created_at":"2026-07-05T03:08:18.834073+00:00"},{"alias_kind":"pith_short_16","alias_value":"DDWIW3SXQYGEUNPV","created_at":"2026-07-05T03:08:18.834073+00:00"},{"alias_kind":"pith_short_8","alias_value":"DDWIW3SX","created_at":"2026-07-05T03:08:18.834073+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":5,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2607.07786","citing_title":"Chiral Tube Algebras I: Topological Defect Lines, Twisted Modules, and Finite Gauging","ref_index":27,"is_internal_anchor":true},{"citing_arxiv_id":"2607.08583","citing_title":"Holographic Theory of Mixed-Dimensional Statistics and Conservation-Encoding Hopping-Operator Algebras","ref_index":74,"is_internal_anchor":true},{"citing_arxiv_id":"2606.03582","citing_title":"Fracton Topological Holography","ref_index":49,"is_internal_anchor":false},{"citing_arxiv_id":"2602.09105","citing_title":"Generalized Families of QFTs","ref_index":74,"is_internal_anchor":false},{"citing_arxiv_id":"2604.27363","citing_title":"Constructing Bulk Topological Orders via Layered Gauging","ref_index":17,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DDWIW3SXQYGEUNPV55X4FME5WF","json":"https://pith.science/pith/DDWIW3SXQYGEUNPV55X4FME5WF.json","graph_json":"https://pith.science/api/pith-number/DDWIW3SXQYGEUNPV55X4FME5WF/graph.json","events_json":"https://pith.science/api/pith-number/DDWIW3SXQYGEUNPV55X4FME5WF/events.json","paper":"https://pith.science/paper/DDWIW3SX"},"agent_actions":{"view_html":"https://pith.science/pith/DDWIW3SXQYGEUNPV55X4FME5WF","download_json":"https://pith.science/pith/DDWIW3SXQYGEUNPV55X4FME5WF.json","view_paper":"https://pith.science/paper/DDWIW3SX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2003.04328&json=true","fetch_graph":"https://pith.science/api/pith-number/DDWIW3SXQYGEUNPV55X4FME5WF/graph.json","fetch_events":"https://pith.science/api/pith-number/DDWIW3SXQYGEUNPV55X4FME5WF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DDWIW3SXQYGEUNPV55X4FME5WF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DDWIW3SXQYGEUNPV55X4FME5WF/action/storage_attestation","attest_author":"https://pith.science/pith/DDWIW3SXQYGEUNPV55X4FME5WF/action/author_attestation","sign_citation":"https://pith.science/pith/DDWIW3SXQYGEUNPV55X4FME5WF/action/citation_signature","submit_replication":"https://pith.science/pith/DDWIW3SXQYGEUNPV55X4FME5WF/action/replication_record"}},"created_at":"2026-07-05T03:08:18.834073+00:00","updated_at":"2026-07-05T03:08:18.834073+00:00"}