{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:2R4JX5R6ERATKBUZ425LOAHNIK","short_pith_number":"pith:2R4JX5R6","schema_version":"1.0","canonical_sha256":"d4789bf63e2441350699e6bab700ed42931bd5279a8553fbb6ccd40db6459e47","source":{"kind":"arxiv","id":"1801.01131","version":1},"attestation_state":"computed","paper":{"title":"Entanglement Entropy and the Colored Jones Polynomial","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Arjun Kar, Jackson Fliss, Matthew DeCross, Onkar Parrikar, Robert G. Leigh, Vijay Balasubramanian","submitted_at":"2018-01-03T19:00:04Z","abstract_excerpt":"We study the multi-party entanglement structure of states in Chern-Simons theory created by performing the path integral on 3-manifolds with linked torus boundaries, called link complements. For gauge group $SU(2)$, the wavefunctions of these states (in a particular basis) are the colored Jones polynomials of the corresponding links. We first review the case of $U(1)$ Chern-Simons theory where these are stabilizer states, a fact we use to re-derive an explicit formula for the entanglement entropy across a general link bipartition. We then present the following results for $SU(2)$ Chern-Simons "},"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":"1801.01131","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-01-03T19:00:04Z","cross_cats_sorted":[],"title_canon_sha256":"9c5e5ee2705c748d412fc95f9814b4bd3a026b97fbeaa4f55060ba0306cbfded","abstract_canon_sha256":"f789691ff41e44d0873fe0a1efd14a2acc1532d0103f97a647f22ebec64bb500"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:15:05.101997Z","signature_b64":"mCdhHJ4aR+ZA5UZf+AuXEhYmg+NSbf+HTBEHfF01V1P51MNDHnP4De9ks8FRLmkFyCkz+nJrLB/0YeL9MzA/CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d4789bf63e2441350699e6bab700ed42931bd5279a8553fbb6ccd40db6459e47","last_reissued_at":"2026-05-18T00:15:05.101395Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:15:05.101395Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Entanglement Entropy and the Colored Jones Polynomial","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Arjun Kar, Jackson Fliss, Matthew DeCross, Onkar Parrikar, Robert G. Leigh, Vijay Balasubramanian","submitted_at":"2018-01-03T19:00:04Z","abstract_excerpt":"We study the multi-party entanglement structure of states in Chern-Simons theory created by performing the path integral on 3-manifolds with linked torus boundaries, called link complements. For gauge group $SU(2)$, the wavefunctions of these states (in a particular basis) are the colored Jones polynomials of the corresponding links. We first review the case of $U(1)$ Chern-Simons theory where these are stabilizer states, a fact we use to re-derive an explicit formula for the entanglement entropy across a general link bipartition. We then present the following results for $SU(2)$ Chern-Simons "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.01131","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":""},"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":"1801.01131","created_at":"2026-05-18T00:15:05.101479+00:00"},{"alias_kind":"arxiv_version","alias_value":"1801.01131v1","created_at":"2026-05-18T00:15:05.101479+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.01131","created_at":"2026-05-18T00:15:05.101479+00:00"},{"alias_kind":"pith_short_12","alias_value":"2R4JX5R6ERAT","created_at":"2026-05-18T12:32:02.567920+00:00"},{"alias_kind":"pith_short_16","alias_value":"2R4JX5R6ERATKBUZ","created_at":"2026-05-18T12:32:02.567920+00:00"},{"alias_kind":"pith_short_8","alias_value":"2R4JX5R6","created_at":"2026-05-18T12:32:02.567920+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2504.10098","citing_title":"Analyzing reduced density matrices in SU(2) Chern-Simons theory","ref_index":4,"is_internal_anchor":true},{"citing_arxiv_id":"2512.22997","citing_title":"Generalised Entanglement Entropies from Unit-Invariant Singular Value Decomposition","ref_index":35,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/2R4JX5R6ERATKBUZ425LOAHNIK","json":"https://pith.science/pith/2R4JX5R6ERATKBUZ425LOAHNIK.json","graph_json":"https://pith.science/api/pith-number/2R4JX5R6ERATKBUZ425LOAHNIK/graph.json","events_json":"https://pith.science/api/pith-number/2R4JX5R6ERATKBUZ425LOAHNIK/events.json","paper":"https://pith.science/paper/2R4JX5R6"},"agent_actions":{"view_html":"https://pith.science/pith/2R4JX5R6ERATKBUZ425LOAHNIK","download_json":"https://pith.science/pith/2R4JX5R6ERATKBUZ425LOAHNIK.json","view_paper":"https://pith.science/paper/2R4JX5R6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1801.01131&json=true","fetch_graph":"https://pith.science/api/pith-number/2R4JX5R6ERATKBUZ425LOAHNIK/graph.json","fetch_events":"https://pith.science/api/pith-number/2R4JX5R6ERATKBUZ425LOAHNIK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2R4JX5R6ERATKBUZ425LOAHNIK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2R4JX5R6ERATKBUZ425LOAHNIK/action/storage_attestation","attest_author":"https://pith.science/pith/2R4JX5R6ERATKBUZ425LOAHNIK/action/author_attestation","sign_citation":"https://pith.science/pith/2R4JX5R6ERATKBUZ425LOAHNIK/action/citation_signature","submit_replication":"https://pith.science/pith/2R4JX5R6ERATKBUZ425LOAHNIK/action/replication_record"}},"created_at":"2026-05-18T00:15:05.101479+00:00","updated_at":"2026-05-18T00:15:05.101479+00:00"}