{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1997:MOS273ANCB54UDECTAGQAVKBZ2","short_pith_number":"pith:MOS273AN","schema_version":"1.0","canonical_sha256":"63a5afec0d107bca0c82980d005541ce9e80e0a1561ecbf1ceed74da8442ea0f","source":{"kind":"arxiv","id":"q-alg/9710003","version":1},"attestation_state":"computed","paper":{"title":"Topological Interpretations of Lattice Gauge Field Theory","license":"","headline":"","cross_cats":["math.QA"],"primary_cat":"q-alg","authors_text":"Charles Frohman, Doug Bullock, Joanna Kania-Bartoszy\\'nska","submitted_at":"1997-10-01T20:11:14Z","abstract_excerpt":"We construct lattice gauge field theory based on a quantum group on a lattice of dimension 1. Innovations include a coalgebra structure on the connections, and an investigation of connections that are not distinguishable by observables. We prove that when the quantum group is a deformation of a connected algebraic group (over the complex numbers), then the algebra of observables forms a deformation quantization of the ring of characters of the fundamental group of the lattice with respect to the corresponding algebraic group. Finally, we investigate lattice gauge field theory based on quantum "},"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":"q-alg/9710003","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"q-alg","submitted_at":"1997-10-01T20:11:14Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"259824940ff4176eb17ce57921da69ab4da0d974ec6f2f591f58692bcb3b97cd","abstract_canon_sha256":"e5bc2b326b12d5751208fbe42d547513724dc1a42a7769700f2807a6af06f9e8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:14.479730Z","signature_b64":"V2cLR5FjLLqoLeedfPEMhxr2W/i07zTe2/mixf9ApXIewT0ncor0bsu2mZOLJkVBxxbsVd2kIXcNdShhlFT9Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"63a5afec0d107bca0c82980d005541ce9e80e0a1561ecbf1ceed74da8442ea0f","last_reissued_at":"2026-05-18T01:09:14.479244Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:14.479244Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Topological Interpretations of Lattice Gauge Field Theory","license":"","headline":"","cross_cats":["math.QA"],"primary_cat":"q-alg","authors_text":"Charles Frohman, Doug Bullock, Joanna Kania-Bartoszy\\'nska","submitted_at":"1997-10-01T20:11:14Z","abstract_excerpt":"We construct lattice gauge field theory based on a quantum group on a lattice of dimension 1. Innovations include a coalgebra structure on the connections, and an investigation of connections that are not distinguishable by observables. We prove that when the quantum group is a deformation of a connected algebraic group (over the complex numbers), then the algebra of observables forms a deformation quantization of the ring of characters of the fundamental group of the lattice with respect to the corresponding algebraic group. Finally, we investigate lattice gauge field theory based on quantum "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"q-alg/9710003","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":"q-alg/9710003","created_at":"2026-05-18T01:09:14.479331+00:00"},{"alias_kind":"arxiv_version","alias_value":"q-alg/9710003v1","created_at":"2026-05-18T01:09:14.479331+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.q-alg/9710003","created_at":"2026-05-18T01:09:14.479331+00:00"},{"alias_kind":"pith_short_12","alias_value":"MOS273ANCB54","created_at":"2026-05-18T12:25:48.327863+00:00"},{"alias_kind":"pith_short_16","alias_value":"MOS273ANCB54UDEC","created_at":"2026-05-18T12:25:48.327863+00:00"},{"alias_kind":"pith_short_8","alias_value":"MOS273AN","created_at":"2026-05-18T12:25:48.327863+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MOS273ANCB54UDECTAGQAVKBZ2","json":"https://pith.science/pith/MOS273ANCB54UDECTAGQAVKBZ2.json","graph_json":"https://pith.science/api/pith-number/MOS273ANCB54UDECTAGQAVKBZ2/graph.json","events_json":"https://pith.science/api/pith-number/MOS273ANCB54UDECTAGQAVKBZ2/events.json","paper":"https://pith.science/paper/MOS273AN"},"agent_actions":{"view_html":"https://pith.science/pith/MOS273ANCB54UDECTAGQAVKBZ2","download_json":"https://pith.science/pith/MOS273ANCB54UDECTAGQAVKBZ2.json","view_paper":"https://pith.science/paper/MOS273AN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=q-alg/9710003&json=true","fetch_graph":"https://pith.science/api/pith-number/MOS273ANCB54UDECTAGQAVKBZ2/graph.json","fetch_events":"https://pith.science/api/pith-number/MOS273ANCB54UDECTAGQAVKBZ2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MOS273ANCB54UDECTAGQAVKBZ2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MOS273ANCB54UDECTAGQAVKBZ2/action/storage_attestation","attest_author":"https://pith.science/pith/MOS273ANCB54UDECTAGQAVKBZ2/action/author_attestation","sign_citation":"https://pith.science/pith/MOS273ANCB54UDECTAGQAVKBZ2/action/citation_signature","submit_replication":"https://pith.science/pith/MOS273ANCB54UDECTAGQAVKBZ2/action/replication_record"}},"created_at":"2026-05-18T01:09:14.479331+00:00","updated_at":"2026-05-18T01:09:14.479331+00:00"}