{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:SZUDRBSZOME7ZAT53XFFEUJXNN","short_pith_number":"pith:SZUDRBSZ","schema_version":"1.0","canonical_sha256":"96683886597309fc827dddca5251376b62464051a005e83fb0251e3c2bedffec","source":{"kind":"arxiv","id":"2401.09597","version":1},"attestation_state":"computed","paper":{"title":"Canonical quantization of lattice Chern-Simons theory","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-th","authors_text":"Theodore Jacobson, Tin Sulejmanpasic","submitted_at":"2024-01-17T21:11:10Z","abstract_excerpt":"We discuss the canonical quantization of $U(1)_k$ Chern-Simons theory on a spatial lattice. In addition to the usual local Gauss law constraints, the physical Hilbert space is defined by 1-form gauge constraints implementing the compactness of the $U(1)$ gauge group, and (depending on the details of the spatial lattice) non-local constraints which project out unframed Wilson loops. Though the ingredients of the lattice model are bosonic, the physical Hilbert space is finite-dimensional, with exactly $k$ ground states on a spatial torus. We quantize both the bosonic (even level) and fermionic ("},"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":"2401.09597","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-01-17T21:11:10Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"46a0ecc152a8c2048223aa40f2d1695e3e175ee58161132e4bc9e36fb1b6df36","abstract_canon_sha256":"382cef3fc029801a928f1e6a05c0704c17b9eec53e8fde29bd3f078fdbf2fb74"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:34:58.858056Z","signature_b64":"OK/dlx4gSmdxDNc/C67iN6TPLs94SC9MjLiOJIDbvRaOfMva+wZjJX0Vo4NLEyo/a8XjIgjOKpzLRM7Im1O0AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"96683886597309fc827dddca5251376b62464051a005e83fb0251e3c2bedffec","last_reissued_at":"2026-07-05T07:34:58.857580Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:34:58.857580Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Canonical quantization of lattice Chern-Simons theory","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-th","authors_text":"Theodore Jacobson, Tin Sulejmanpasic","submitted_at":"2024-01-17T21:11:10Z","abstract_excerpt":"We discuss the canonical quantization of $U(1)_k$ Chern-Simons theory on a spatial lattice. In addition to the usual local Gauss law constraints, the physical Hilbert space is defined by 1-form gauge constraints implementing the compactness of the $U(1)$ gauge group, and (depending on the details of the spatial lattice) non-local constraints which project out unframed Wilson loops. Though the ingredients of the lattice model are bosonic, the physical Hilbert space is finite-dimensional, with exactly $k$ ground states on a spatial torus. We quantize both the bosonic (even level) and fermionic ("},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.09597","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/2401.09597/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":"2401.09597","created_at":"2026-07-05T07:34:58.857647+00:00"},{"alias_kind":"arxiv_version","alias_value":"2401.09597v1","created_at":"2026-07-05T07:34:58.857647+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.09597","created_at":"2026-07-05T07:34:58.857647+00:00"},{"alias_kind":"pith_short_12","alias_value":"SZUDRBSZOME7","created_at":"2026-07-05T07:34:58.857647+00:00"},{"alias_kind":"pith_short_16","alias_value":"SZUDRBSZOME7ZAT5","created_at":"2026-07-05T07:34:58.857647+00:00"},{"alias_kind":"pith_short_8","alias_value":"SZUDRBSZ","created_at":"2026-07-05T07:34:58.857647+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2607.00082","citing_title":"Toward Hamiltonian simulations of Maxwell-Chern-Simons theory: constant modes and gauge field truncation","ref_index":21,"is_internal_anchor":false},{"citing_arxiv_id":"2604.08736","citing_title":"Exact SL(2,Z)-Structure of Lattice Maxwell Theory with $\\theta$-term in Modified Villain Formulation","ref_index":23,"is_internal_anchor":false},{"citing_arxiv_id":"2604.07293","citing_title":"Exotic theta terms in 2+1d fractonic field theory","ref_index":42,"is_internal_anchor":false},{"citing_arxiv_id":"2604.06307","citing_title":"Lattice chiral symmetry from bosons in 3+1d","ref_index":76,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SZUDRBSZOME7ZAT53XFFEUJXNN","json":"https://pith.science/pith/SZUDRBSZOME7ZAT53XFFEUJXNN.json","graph_json":"https://pith.science/api/pith-number/SZUDRBSZOME7ZAT53XFFEUJXNN/graph.json","events_json":"https://pith.science/api/pith-number/SZUDRBSZOME7ZAT53XFFEUJXNN/events.json","paper":"https://pith.science/paper/SZUDRBSZ"},"agent_actions":{"view_html":"https://pith.science/pith/SZUDRBSZOME7ZAT53XFFEUJXNN","download_json":"https://pith.science/pith/SZUDRBSZOME7ZAT53XFFEUJXNN.json","view_paper":"https://pith.science/paper/SZUDRBSZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2401.09597&json=true","fetch_graph":"https://pith.science/api/pith-number/SZUDRBSZOME7ZAT53XFFEUJXNN/graph.json","fetch_events":"https://pith.science/api/pith-number/SZUDRBSZOME7ZAT53XFFEUJXNN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SZUDRBSZOME7ZAT53XFFEUJXNN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SZUDRBSZOME7ZAT53XFFEUJXNN/action/storage_attestation","attest_author":"https://pith.science/pith/SZUDRBSZOME7ZAT53XFFEUJXNN/action/author_attestation","sign_citation":"https://pith.science/pith/SZUDRBSZOME7ZAT53XFFEUJXNN/action/citation_signature","submit_replication":"https://pith.science/pith/SZUDRBSZOME7ZAT53XFFEUJXNN/action/replication_record"}},"created_at":"2026-07-05T07:34:58.857647+00:00","updated_at":"2026-07-05T07:34:58.857647+00:00"}