{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:X5PQ2BYJR4XV3XZ3GIWT6VDTGI","short_pith_number":"pith:X5PQ2BYJ","schema_version":"1.0","canonical_sha256":"bf5f0d07098f2f5ddf3b322d3f54733236c3b2cc2b61f6f50b2e6e2ed6c8420b","source":{"kind":"arxiv","id":"1908.07700","version":1},"attestation_state":"computed","paper":{"title":"Ishibashi States, Topological Orders with Boundaries and Topological Entanglement Entropy II -- Cutting through the boundary","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","quant-ph"],"primary_cat":"hep-th","authors_text":"Ce Shen, Jiaqi Lou, Ling-Yan Hung","submitted_at":"2019-08-21T03:53:01Z","abstract_excerpt":"We compute the entanglement entropy in a 2+1 dimensional topological order in the presence of gapped boundaries. Specifically, we consider entanglement cuts that cut through the boundaries. We argue that based on general considerations of the bulk-boundary correspondence, the \"twisted characters\" feature in the Renyi entropy, and the topological entanglement entropy is controlled by a \"half-linking number\" in direct analogy to the role played by the S-modular matrix in the absence of boundaries. We also construct a class of boundary states based on the half-linking numbers that provides a \"clo"},"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":"1908.07700","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-08-21T03:53:01Z","cross_cats_sorted":["cond-mat.str-el","quant-ph"],"title_canon_sha256":"8319dcbfd910ef6c070e5e94c99c06b5aa1d95af8abc1075d5601ee667c31fce","abstract_canon_sha256":"2e10a42cf2da65d894c4c8e62e4c9fb308937d5d16cbe3e976ddeae251b78ad9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:31:16.116242Z","signature_b64":"PCxVoALhRWjeXTilrtCP1pK+6m1LyJxvJlz1PQT4lv1oCnSG4Q3G0CKGsfupYJKRsyZkJSOiiGryUJm2kdDTCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bf5f0d07098f2f5ddf3b322d3f54733236c3b2cc2b61f6f50b2e6e2ed6c8420b","last_reissued_at":"2026-07-05T00:31:16.115699Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:31:16.115699Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Ishibashi States, Topological Orders with Boundaries and Topological Entanglement Entropy II -- Cutting through the boundary","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","quant-ph"],"primary_cat":"hep-th","authors_text":"Ce Shen, Jiaqi Lou, Ling-Yan Hung","submitted_at":"2019-08-21T03:53:01Z","abstract_excerpt":"We compute the entanglement entropy in a 2+1 dimensional topological order in the presence of gapped boundaries. Specifically, we consider entanglement cuts that cut through the boundaries. We argue that based on general considerations of the bulk-boundary correspondence, the \"twisted characters\" feature in the Renyi entropy, and the topological entanglement entropy is controlled by a \"half-linking number\" in direct analogy to the role played by the S-modular matrix in the absence of boundaries. We also construct a class of boundary states based on the half-linking numbers that provides a \"clo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.07700","kind":"arxiv","version":1},"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/1908.07700/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":"1908.07700","created_at":"2026-07-05T00:31:16.115764+00:00"},{"alias_kind":"arxiv_version","alias_value":"1908.07700v1","created_at":"2026-07-05T00:31:16.115764+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.07700","created_at":"2026-07-05T00:31:16.115764+00:00"},{"alias_kind":"pith_short_12","alias_value":"X5PQ2BYJR4XV","created_at":"2026-07-05T00:31:16.115764+00:00"},{"alias_kind":"pith_short_16","alias_value":"X5PQ2BYJR4XV3XZ3","created_at":"2026-07-05T00:31:16.115764+00:00"},{"alias_kind":"pith_short_8","alias_value":"X5PQ2BYJ","created_at":"2026-07-05T00:31:16.115764+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/X5PQ2BYJR4XV3XZ3GIWT6VDTGI","json":"https://pith.science/pith/X5PQ2BYJR4XV3XZ3GIWT6VDTGI.json","graph_json":"https://pith.science/api/pith-number/X5PQ2BYJR4XV3XZ3GIWT6VDTGI/graph.json","events_json":"https://pith.science/api/pith-number/X5PQ2BYJR4XV3XZ3GIWT6VDTGI/events.json","paper":"https://pith.science/paper/X5PQ2BYJ"},"agent_actions":{"view_html":"https://pith.science/pith/X5PQ2BYJR4XV3XZ3GIWT6VDTGI","download_json":"https://pith.science/pith/X5PQ2BYJR4XV3XZ3GIWT6VDTGI.json","view_paper":"https://pith.science/paper/X5PQ2BYJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1908.07700&json=true","fetch_graph":"https://pith.science/api/pith-number/X5PQ2BYJR4XV3XZ3GIWT6VDTGI/graph.json","fetch_events":"https://pith.science/api/pith-number/X5PQ2BYJR4XV3XZ3GIWT6VDTGI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/X5PQ2BYJR4XV3XZ3GIWT6VDTGI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/X5PQ2BYJR4XV3XZ3GIWT6VDTGI/action/storage_attestation","attest_author":"https://pith.science/pith/X5PQ2BYJR4XV3XZ3GIWT6VDTGI/action/author_attestation","sign_citation":"https://pith.science/pith/X5PQ2BYJR4XV3XZ3GIWT6VDTGI/action/citation_signature","submit_replication":"https://pith.science/pith/X5PQ2BYJR4XV3XZ3GIWT6VDTGI/action/replication_record"}},"created_at":"2026-07-05T00:31:16.115764+00:00","updated_at":"2026-07-05T00:31:16.115764+00:00"}