{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:OEQBP2VCG5HHAH7NRJF5FGWMVW","short_pith_number":"pith:OEQBP2VC","schema_version":"1.0","canonical_sha256":"712017eaa2374e701fed8a4bd29accad826d274b4f42b0a7f6393625a18af9d1","source":{"kind":"arxiv","id":"1707.04564","version":3},"attestation_state":"computed","paper":{"title":"Hamiltonian and Algebraic Theories of Gapped Boundaries in Topological Phases of Matter","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.QA","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Iris Cong, Meng Cheng, Zhenghan Wang","submitted_at":"2017-07-14T17:06:15Z","abstract_excerpt":"We present an exactly solvable lattice Hamiltonian to realize gapped boundaries of Kitaev's quantum double models for Dijkgraaf-Witten theories. We classify the elementary excitations on the boundary, and systematically describe the bulk-to-boundary condensation procedure. We also present the parallel algebraic/categorical structure of gapped boundaries."},"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":"1707.04564","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-07-14T17:06:15Z","cross_cats_sorted":["math-ph","math.MP","math.QA","quant-ph"],"title_canon_sha256":"238a14ac447b93cb16e094283c5a64ec9e07727c94f4478cc7acd6c47c553408","abstract_canon_sha256":"ffff1a7d0d329477a50bf020f780172f235b9d9e4334ae85389c13c1c45d59df"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:24:42.609066Z","signature_b64":"lLhXwGqob1lnWae1koJF+JkdkDgN7tX1opWi5oXUOuCV8M/MJnKAsSPkfQTPKIg04jMVP4XLphEJ1KeXPlsqBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"712017eaa2374e701fed8a4bd29accad826d274b4f42b0a7f6393625a18af9d1","last_reissued_at":"2026-05-18T00:24:42.608457Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:24:42.608457Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hamiltonian and Algebraic Theories of Gapped Boundaries in Topological Phases of Matter","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.QA","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Iris Cong, Meng Cheng, Zhenghan Wang","submitted_at":"2017-07-14T17:06:15Z","abstract_excerpt":"We present an exactly solvable lattice Hamiltonian to realize gapped boundaries of Kitaev's quantum double models for Dijkgraaf-Witten theories. We classify the elementary excitations on the boundary, and systematically describe the bulk-to-boundary condensation procedure. We also present the parallel algebraic/categorical structure of gapped boundaries."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.04564","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":""},"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":"1707.04564","created_at":"2026-05-18T00:24:42.608542+00:00"},{"alias_kind":"arxiv_version","alias_value":"1707.04564v3","created_at":"2026-05-18T00:24:42.608542+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.04564","created_at":"2026-05-18T00:24:42.608542+00:00"},{"alias_kind":"pith_short_12","alias_value":"OEQBP2VCG5HH","created_at":"2026-05-18T12:31:34.259226+00:00"},{"alias_kind":"pith_short_16","alias_value":"OEQBP2VCG5HHAH7N","created_at":"2026-05-18T12:31:34.259226+00:00"},{"alias_kind":"pith_short_8","alias_value":"OEQBP2VC","created_at":"2026-05-18T12:31:34.259226+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OEQBP2VCG5HHAH7NRJF5FGWMVW","json":"https://pith.science/pith/OEQBP2VCG5HHAH7NRJF5FGWMVW.json","graph_json":"https://pith.science/api/pith-number/OEQBP2VCG5HHAH7NRJF5FGWMVW/graph.json","events_json":"https://pith.science/api/pith-number/OEQBP2VCG5HHAH7NRJF5FGWMVW/events.json","paper":"https://pith.science/paper/OEQBP2VC"},"agent_actions":{"view_html":"https://pith.science/pith/OEQBP2VCG5HHAH7NRJF5FGWMVW","download_json":"https://pith.science/pith/OEQBP2VCG5HHAH7NRJF5FGWMVW.json","view_paper":"https://pith.science/paper/OEQBP2VC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1707.04564&json=true","fetch_graph":"https://pith.science/api/pith-number/OEQBP2VCG5HHAH7NRJF5FGWMVW/graph.json","fetch_events":"https://pith.science/api/pith-number/OEQBP2VCG5HHAH7NRJF5FGWMVW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OEQBP2VCG5HHAH7NRJF5FGWMVW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OEQBP2VCG5HHAH7NRJF5FGWMVW/action/storage_attestation","attest_author":"https://pith.science/pith/OEQBP2VCG5HHAH7NRJF5FGWMVW/action/author_attestation","sign_citation":"https://pith.science/pith/OEQBP2VCG5HHAH7NRJF5FGWMVW/action/citation_signature","submit_replication":"https://pith.science/pith/OEQBP2VCG5HHAH7NRJF5FGWMVW/action/replication_record"}},"created_at":"2026-05-18T00:24:42.608542+00:00","updated_at":"2026-05-18T00:24:42.608542+00:00"}