{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:UEPLNT53FUOLE3MTCZHFRI7JCY","short_pith_number":"pith:UEPLNT53","schema_version":"1.0","canonical_sha256":"a11eb6cfbb2d1cb26d93164e58a3e9160b98929de212336a5732771fb7823aaf","source":{"kind":"arxiv","id":"1810.01986","version":3},"attestation_state":"computed","paper":{"title":"Seeing topological entanglement through the information convex","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Bowen Shi","submitted_at":"2018-10-03T21:53:35Z","abstract_excerpt":"The information convex allows us to look into certain information-theoretic constraints in two-dimensional topological orders. We provide a derivation of the topological contribution $\\ln d_a$ to the von Neumann entropy, where $d_a$ is the quantum dimension of anyon $a$. This value emerges as the only value consistent with strong subadditivity, assuming a certain topological dependence of the information convex structure. In particular, it is assumed that the fusion multiplicities are coherently encoded in a 2-hole disk. A similar contribution ($\\ln d_{\\alpha}$) is derived for gapped boundarie"},"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":"1810.01986","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-10-03T21:53:35Z","cross_cats_sorted":["hep-th","quant-ph"],"title_canon_sha256":"49579f23f9578f698620dfb956015908f9a9f671e19b46a3946e76ff005b2292","abstract_canon_sha256":"2d65018f577ff86c73d9001fec6148a5f62df177cc1dfd41c0c2854a89d738d9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:15:34.166378Z","signature_b64":"f/+0F6Z15ewZzCu2yu74DR908CEZb1IwE+NLDKHDscHvclvPPtfkM2VItB7NYpjJiWYl3dfCgkfDtZW3rbPiCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a11eb6cfbb2d1cb26d93164e58a3e9160b98929de212336a5732771fb7823aaf","last_reissued_at":"2026-07-05T00:15:34.165914Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:15:34.165914Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Seeing topological entanglement through the information convex","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Bowen Shi","submitted_at":"2018-10-03T21:53:35Z","abstract_excerpt":"The information convex allows us to look into certain information-theoretic constraints in two-dimensional topological orders. We provide a derivation of the topological contribution $\\ln d_a$ to the von Neumann entropy, where $d_a$ is the quantum dimension of anyon $a$. This value emerges as the only value consistent with strong subadditivity, assuming a certain topological dependence of the information convex structure. In particular, it is assumed that the fusion multiplicities are coherently encoded in a 2-hole disk. A similar contribution ($\\ln d_{\\alpha}$) is derived for gapped boundarie"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.01986","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/1810.01986/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":"1810.01986","created_at":"2026-07-05T00:15:34.165972+00:00"},{"alias_kind":"arxiv_version","alias_value":"1810.01986v3","created_at":"2026-07-05T00:15:34.165972+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.01986","created_at":"2026-07-05T00:15:34.165972+00:00"},{"alias_kind":"pith_short_12","alias_value":"UEPLNT53FUOL","created_at":"2026-07-05T00:15:34.165972+00:00"},{"alias_kind":"pith_short_16","alias_value":"UEPLNT53FUOLE3MT","created_at":"2026-07-05T00:15:34.165972+00:00"},{"alias_kind":"pith_short_8","alias_value":"UEPLNT53","created_at":"2026-07-05T00:15:34.165972+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.12540","citing_title":"Toward Entanglement Bootstrap for Conformal Field Theory in Any Dimension","ref_index":39,"is_internal_anchor":false},{"citing_arxiv_id":"2606.08558","citing_title":"Microscopic universal theory of symmetry-enriched topological quantum spin liquids","ref_index":93,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UEPLNT53FUOLE3MTCZHFRI7JCY","json":"https://pith.science/pith/UEPLNT53FUOLE3MTCZHFRI7JCY.json","graph_json":"https://pith.science/api/pith-number/UEPLNT53FUOLE3MTCZHFRI7JCY/graph.json","events_json":"https://pith.science/api/pith-number/UEPLNT53FUOLE3MTCZHFRI7JCY/events.json","paper":"https://pith.science/paper/UEPLNT53"},"agent_actions":{"view_html":"https://pith.science/pith/UEPLNT53FUOLE3MTCZHFRI7JCY","download_json":"https://pith.science/pith/UEPLNT53FUOLE3MTCZHFRI7JCY.json","view_paper":"https://pith.science/paper/UEPLNT53","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1810.01986&json=true","fetch_graph":"https://pith.science/api/pith-number/UEPLNT53FUOLE3MTCZHFRI7JCY/graph.json","fetch_events":"https://pith.science/api/pith-number/UEPLNT53FUOLE3MTCZHFRI7JCY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UEPLNT53FUOLE3MTCZHFRI7JCY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UEPLNT53FUOLE3MTCZHFRI7JCY/action/storage_attestation","attest_author":"https://pith.science/pith/UEPLNT53FUOLE3MTCZHFRI7JCY/action/author_attestation","sign_citation":"https://pith.science/pith/UEPLNT53FUOLE3MTCZHFRI7JCY/action/citation_signature","submit_replication":"https://pith.science/pith/UEPLNT53FUOLE3MTCZHFRI7JCY/action/replication_record"}},"created_at":"2026-07-05T00:15:34.165972+00:00","updated_at":"2026-07-05T00:15:34.165972+00:00"}