{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:L6MUPBQ5JOLDZ26SWLLQEWPXNI","short_pith_number":"pith:L6MUPBQ5","schema_version":"1.0","canonical_sha256":"5f9947861d4b963cebd2b2d70259f76a3ed7a1a269f2e63fc70bbffac037170a","source":{"kind":"arxiv","id":"2412.11718","version":1},"attestation_state":"computed","paper":{"title":"On topological defects in Chern-Simons theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alex S. Arvanitakis, Daniel C. Thompson, Lewis T. Cole, Saskia Demulder","submitted_at":"2024-12-16T12:39:20Z","abstract_excerpt":"We construct a new class of topological surface defects in Chern-Simons theory with non-compact, non-Abelian gauge groups. These defects are characterized by isotropic subalgebras defined by solutions of the modified classical Yang-Baxter equation, and their fusion realizes a semi-group structure with non-invertible elements. From a Hamiltonian perspective, we calculate this fusion using the composition of Lagrangian correspondences within the Weinstein symplectic category. Applications include boundary terms and conditions in $AdS_3$ gravity and higher-spin theories."},"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":"2412.11718","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-12-16T12:39:20Z","cross_cats_sorted":[],"title_canon_sha256":"b986bca27e651decd36d044190e177ee1f3501eaa99696959d80aa64d944f41b","abstract_canon_sha256":"f9914d8ad4fbf6ff10ba8d42967478ef8a5e4ad9bdc3c4e25d7d66a551e28076"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:49:50.648427Z","signature_b64":"reflNChU6piNjYCfXlHEDgkuikAnC3LUXIJPL4zQdpCOCKhTxMXyJubLJd3wGYzVXImZmZzDqRaIccWb7d96AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5f9947861d4b963cebd2b2d70259f76a3ed7a1a269f2e63fc70bbffac037170a","last_reissued_at":"2026-07-05T09:49:50.647888Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:49:50.647888Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On topological defects in Chern-Simons theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alex S. Arvanitakis, Daniel C. Thompson, Lewis T. Cole, Saskia Demulder","submitted_at":"2024-12-16T12:39:20Z","abstract_excerpt":"We construct a new class of topological surface defects in Chern-Simons theory with non-compact, non-Abelian gauge groups. These defects are characterized by isotropic subalgebras defined by solutions of the modified classical Yang-Baxter equation, and their fusion realizes a semi-group structure with non-invertible elements. From a Hamiltonian perspective, we calculate this fusion using the composition of Lagrangian correspondences within the Weinstein symplectic category. Applications include boundary terms and conditions in $AdS_3$ gravity and higher-spin theories."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.11718","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/2412.11718/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":"2412.11718","created_at":"2026-07-05T09:49:50.647972+00:00"},{"alias_kind":"arxiv_version","alias_value":"2412.11718v1","created_at":"2026-07-05T09:49:50.647972+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.11718","created_at":"2026-07-05T09:49:50.647972+00:00"},{"alias_kind":"pith_short_12","alias_value":"L6MUPBQ5JOLD","created_at":"2026-07-05T09:49:50.647972+00:00"},{"alias_kind":"pith_short_16","alias_value":"L6MUPBQ5JOLDZ26S","created_at":"2026-07-05T09:49:50.647972+00:00"},{"alias_kind":"pith_short_8","alias_value":"L6MUPBQ5","created_at":"2026-07-05T09:49:50.647972+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2509.07965","citing_title":"Symmetry TFTs for Continuous Spacetime Symmetries","ref_index":84,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/L6MUPBQ5JOLDZ26SWLLQEWPXNI","json":"https://pith.science/pith/L6MUPBQ5JOLDZ26SWLLQEWPXNI.json","graph_json":"https://pith.science/api/pith-number/L6MUPBQ5JOLDZ26SWLLQEWPXNI/graph.json","events_json":"https://pith.science/api/pith-number/L6MUPBQ5JOLDZ26SWLLQEWPXNI/events.json","paper":"https://pith.science/paper/L6MUPBQ5"},"agent_actions":{"view_html":"https://pith.science/pith/L6MUPBQ5JOLDZ26SWLLQEWPXNI","download_json":"https://pith.science/pith/L6MUPBQ5JOLDZ26SWLLQEWPXNI.json","view_paper":"https://pith.science/paper/L6MUPBQ5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2412.11718&json=true","fetch_graph":"https://pith.science/api/pith-number/L6MUPBQ5JOLDZ26SWLLQEWPXNI/graph.json","fetch_events":"https://pith.science/api/pith-number/L6MUPBQ5JOLDZ26SWLLQEWPXNI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/L6MUPBQ5JOLDZ26SWLLQEWPXNI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/L6MUPBQ5JOLDZ26SWLLQEWPXNI/action/storage_attestation","attest_author":"https://pith.science/pith/L6MUPBQ5JOLDZ26SWLLQEWPXNI/action/author_attestation","sign_citation":"https://pith.science/pith/L6MUPBQ5JOLDZ26SWLLQEWPXNI/action/citation_signature","submit_replication":"https://pith.science/pith/L6MUPBQ5JOLDZ26SWLLQEWPXNI/action/replication_record"}},"created_at":"2026-07-05T09:49:50.647972+00:00","updated_at":"2026-07-05T09:49:50.647972+00:00"}