{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:ULFIGMP2W35VTRFTCKIJJAPC47","short_pith_number":"pith:ULFIGMP2","schema_version":"1.0","canonical_sha256":"a2ca8331fab6fb59c4b312909481e2e7c46e0232acaa834c6b92e7b63372368c","source":{"kind":"arxiv","id":"1711.06474","version":2},"attestation_state":"computed","paper":{"title":"Entanglement on linked boundaries in Chern-Simons theory with generic gauge groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"hep-th","authors_text":"Lata Kh Joshi, P. Ramadevi, Saswati Dhara, Siddharth Dwivedi, Vivek Kumar Singh, Yang Zhou","submitted_at":"2017-11-17T09:58:02Z","abstract_excerpt":"We study the entanglement for a state on linked torus boundaries in $3d$ Chern-Simons theory with a generic gauge group and present the asymptotic bounds of R\\'enyi entropy at two different limits: (i) large Chern-Simons coupling $k$, and (ii) large rank $r$ of the gauge group. These results show that the R\\'enyi entropies cannot diverge faster than $\\ln k$ and $\\ln r$, respectively. We focus on torus links $T(2,2n)$ with topological linking number $n$. The R\\'enyi entropy for these links shows a periodic structure in $n$ and vanishes whenever $n = 0 \\text{ (mod } \\textsf{p})$, where the integ"},"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":"1711.06474","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-11-17T09:58:02Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"a6307f4220b211159bd8e90e8310806977b319b9a154df6b0b69bc107db702d2","abstract_canon_sha256":"151bf0ef32e4ed589055e2e481fed3c0d17464269af9edd2a7c381aa24064d3e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:22:15.846626Z","signature_b64":"KjzLJ11fQ9zXAI0d201/k5DKgejO6vzEXqeVmuO+7yeP7uRLZ6dCC/Y7g7HdPBCAd0TgSMeja1GNPaeht3n+CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a2ca8331fab6fb59c4b312909481e2e7c46e0232acaa834c6b92e7b63372368c","last_reissued_at":"2026-05-18T00:22:15.845922Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:22:15.845922Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Entanglement on linked boundaries in Chern-Simons theory with generic gauge groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"hep-th","authors_text":"Lata Kh Joshi, P. Ramadevi, Saswati Dhara, Siddharth Dwivedi, Vivek Kumar Singh, Yang Zhou","submitted_at":"2017-11-17T09:58:02Z","abstract_excerpt":"We study the entanglement for a state on linked torus boundaries in $3d$ Chern-Simons theory with a generic gauge group and present the asymptotic bounds of R\\'enyi entropy at two different limits: (i) large Chern-Simons coupling $k$, and (ii) large rank $r$ of the gauge group. These results show that the R\\'enyi entropies cannot diverge faster than $\\ln k$ and $\\ln r$, respectively. We focus on torus links $T(2,2n)$ with topological linking number $n$. The R\\'enyi entropy for these links shows a periodic structure in $n$ and vanishes whenever $n = 0 \\text{ (mod } \\textsf{p})$, where the integ"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.06474","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":""},"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":"1711.06474","created_at":"2026-05-18T00:22:15.846034+00:00"},{"alias_kind":"arxiv_version","alias_value":"1711.06474v2","created_at":"2026-05-18T00:22:15.846034+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.06474","created_at":"2026-05-18T00:22:15.846034+00:00"},{"alias_kind":"pith_short_12","alias_value":"ULFIGMP2W35V","created_at":"2026-05-18T12:31:46.661854+00:00"},{"alias_kind":"pith_short_16","alias_value":"ULFIGMP2W35VTRFT","created_at":"2026-05-18T12:31:46.661854+00:00"},{"alias_kind":"pith_short_8","alias_value":"ULFIGMP2","created_at":"2026-05-18T12:31:46.661854+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2504.10098","citing_title":"Analyzing reduced density matrices in SU(2) Chern-Simons theory","ref_index":3,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ULFIGMP2W35VTRFTCKIJJAPC47","json":"https://pith.science/pith/ULFIGMP2W35VTRFTCKIJJAPC47.json","graph_json":"https://pith.science/api/pith-number/ULFIGMP2W35VTRFTCKIJJAPC47/graph.json","events_json":"https://pith.science/api/pith-number/ULFIGMP2W35VTRFTCKIJJAPC47/events.json","paper":"https://pith.science/paper/ULFIGMP2"},"agent_actions":{"view_html":"https://pith.science/pith/ULFIGMP2W35VTRFTCKIJJAPC47","download_json":"https://pith.science/pith/ULFIGMP2W35VTRFTCKIJJAPC47.json","view_paper":"https://pith.science/paper/ULFIGMP2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1711.06474&json=true","fetch_graph":"https://pith.science/api/pith-number/ULFIGMP2W35VTRFTCKIJJAPC47/graph.json","fetch_events":"https://pith.science/api/pith-number/ULFIGMP2W35VTRFTCKIJJAPC47/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ULFIGMP2W35VTRFTCKIJJAPC47/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ULFIGMP2W35VTRFTCKIJJAPC47/action/storage_attestation","attest_author":"https://pith.science/pith/ULFIGMP2W35VTRFTCKIJJAPC47/action/author_attestation","sign_citation":"https://pith.science/pith/ULFIGMP2W35VTRFTCKIJJAPC47/action/citation_signature","submit_replication":"https://pith.science/pith/ULFIGMP2W35VTRFTCKIJJAPC47/action/replication_record"}},"created_at":"2026-05-18T00:22:15.846034+00:00","updated_at":"2026-05-18T00:22:15.846034+00:00"}