{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:GA72Q537GDV7JQLQPEEXZFTFGC","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":"c1e8c2311e9e3fb0e81a92f451169611073052db0c44371f9e7b1436bd0d64fa","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-02-25T19:07:57Z","title_canon_sha256":"872433e2a0e5a669550d0edb0ac1b61539c215a795c7deb9d48935e90fcc26b1"},"schema_version":"1.0","source":{"id":"1902.09567","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.09567","created_at":"2026-05-17T23:42:23Z"},{"alias_kind":"arxiv_version","alias_value":"1902.09567v2","created_at":"2026-05-17T23:42:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.09567","created_at":"2026-05-17T23:42:23Z"},{"alias_kind":"pith_short_12","alias_value":"GA72Q537GDV7","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"GA72Q537GDV7JQLQ","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"GA72Q537","created_at":"2026-05-18T12:33:18Z"}],"graph_snapshots":[{"event_id":"sha256:24af618e6388c8bde874dbd1549ef46882161e698fdc021ab0145d97cd894bbe","target":"graph","created_at":"2026-05-17T23:42:23Z","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"},"paper":{"abstract_excerpt":"A four-dimensional Abelian gauge field can be coupled to a 3d CFT with a $U(1)$ symmetry living on a boundary. This coupling gives rise to a continuous family of boundary conformal field theories (BCFT) parametrized by the gauge coupling $\\tau$ in the upper-half plane and by the choice of the CFT in the decoupling limit $\\tau \\to \\infty$. Upon performing an $SL(2,\\mathbb{Z})$ transformation in the bulk and going to the decoupling limit in the new frame, one finds a different 3d CFT on the boundary, related to the original one by Witten's $SL(2, \\mathbb{Z})$ action [1]. In particular the cusps ","authors_text":"Davide Gaiotto, Edoardo Lauria, Jingxiang Wu, Lorenzo Di Pietro","cross_cats":["cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-02-25T19:07:57Z","title":"3d Abelian Gauge Theories at the Boundary"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.09567","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:f888e06f699750ffc560d040a5066011a08b24831dea9a2fde4988d45423c394","target":"record","created_at":"2026-05-17T23:42:23Z","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":"c1e8c2311e9e3fb0e81a92f451169611073052db0c44371f9e7b1436bd0d64fa","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-02-25T19:07:57Z","title_canon_sha256":"872433e2a0e5a669550d0edb0ac1b61539c215a795c7deb9d48935e90fcc26b1"},"schema_version":"1.0","source":{"id":"1902.09567","kind":"arxiv","version":2}},"canonical_sha256":"303fa8777f30ebf4c17079097c966530b34dd46bfd6945e204e295601b600da4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"303fa8777f30ebf4c17079097c966530b34dd46bfd6945e204e295601b600da4","first_computed_at":"2026-05-17T23:42:23.377791Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:42:23.377791Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"42ha0dRT2rUHO+7G4FQ+Gid3yK0Z5XgIn5oZaw4j4mWwHou2FIr6Mlf+5bQwADvfykdx2c/uBfeZRdtQLNKUDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:42:23.378518Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.09567","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f888e06f699750ffc560d040a5066011a08b24831dea9a2fde4988d45423c394","sha256:24af618e6388c8bde874dbd1549ef46882161e698fdc021ab0145d97cd894bbe"],"state_sha256":"118ae5a163ef6aeac3b8f95a302053ea150f4dc0e71ca726652211952a1a2056"}