{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:JEDCN6IK65HWWSKGSYUI3KPRRP","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"7ce4921a35075f977bc3ee3b84a1b453c606f5f4f8f3def2eb89f2a0044425eb","cross_cats_sorted":["cond-mat.str-el","hep-lat"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-03-10T19:00:05Z","title_canon_sha256":"2fecd150d4e3d60c4a610aac7d4ad1f3b251b0dbf44e75841957366339a9d657"},"schema_version":"1.0","source":{"id":"2303.06160","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.06160","created_at":"2026-07-05T06:21:16Z"},{"alias_kind":"arxiv_version","alias_value":"2303.06160v2","created_at":"2026-07-05T06:21:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.06160","created_at":"2026-07-05T06:21:16Z"},{"alias_kind":"pith_short_12","alias_value":"JEDCN6IK65HW","created_at":"2026-07-05T06:21:16Z"},{"alias_kind":"pith_short_16","alias_value":"JEDCN6IK65HWWSKG","created_at":"2026-07-05T06:21:16Z"},{"alias_kind":"pith_short_8","alias_value":"JEDCN6IK","created_at":"2026-07-05T06:21:16Z"}],"graph_snapshots":[{"event_id":"sha256:ad0fbe522c9a9078ff5a3e2066da117f84a58c48d37ba7fc8d8a91fe60e960cd","target":"graph","created_at":"2026-07-05T06:21:16Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2303.06160/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We formulate $U(1)_k$ Chern-Simons theory on a Euclidean spacetime lattice using the modified Villain approach. Various familiar aspects of continuum Chern-Simons theory such as level quantization, framing, the discrete 1-form symmetry and its 't Hooft anomaly, as well as the electric charge of monopole operators are manifest in our construction. The key technical ingredient is the cup product and its higher generalizations on the (hyper-)cubic lattice, which recently appeared in the literature. All unframed Wilson loops are projected out by a peculiar subsystem symmetry, leaving topological, ","authors_text":"Theodore Jacobson, Tin Sulejmanpasic","cross_cats":["cond-mat.str-el","hep-lat"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-03-10T19:00:05Z","title":"Modified Villain formulation of abelian Chern-Simons theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.06160","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:c6ea4b3169927b92438d04044ff3f75dbe048f8dc5abfe60f23514648ce91222","target":"record","created_at":"2026-07-05T06:21:16Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"7ce4921a35075f977bc3ee3b84a1b453c606f5f4f8f3def2eb89f2a0044425eb","cross_cats_sorted":["cond-mat.str-el","hep-lat"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-03-10T19:00:05Z","title_canon_sha256":"2fecd150d4e3d60c4a610aac7d4ad1f3b251b0dbf44e75841957366339a9d657"},"schema_version":"1.0","source":{"id":"2303.06160","kind":"arxiv","version":2}},"canonical_sha256":"490626f90af74f6b494696288da9f18bf1f205039fe3183f9ee2564c46e67851","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"490626f90af74f6b494696288da9f18bf1f205039fe3183f9ee2564c46e67851","first_computed_at":"2026-07-05T06:21:16.114530Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:21:16.114530Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5lhiungBiGSgI17siylyMnrxn0Jda0BNlroJcnrkS7e+JwTH5qsbl5RGcEEZDuv0Jk0sPCjM9ur1m9G3O+azDA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:21:16.115076Z","signed_message":"canonical_sha256_bytes"},"source_id":"2303.06160","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c6ea4b3169927b92438d04044ff3f75dbe048f8dc5abfe60f23514648ce91222","sha256:ad0fbe522c9a9078ff5a3e2066da117f84a58c48d37ba7fc8d8a91fe60e960cd"],"state_sha256":"133092e7405c96b2473e3db13a42861f6454524e5f8fe4502bbe78a7b8bf6273"}