{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:X7NIXBENGT67UJJUQIXRX3XAFS","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":"5cf89c6ad2833602002cabb07829c65383599f797f3466859e62a26c33fae4b0","cross_cats_sorted":["math.MP","math.OA","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2021-03-30T16:32:18Z","title_canon_sha256":"848eb8582d205c16b35bf69f2217f69fc9513f0950e16a807f91767ddab12e83"},"schema_version":"1.0","source":{"id":"2103.16475","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2103.16475","created_at":"2026-07-05T06:06:51Z"},{"alias_kind":"arxiv_version","alias_value":"2103.16475v5","created_at":"2026-07-05T06:06:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.16475","created_at":"2026-07-05T06:06:51Z"},{"alias_kind":"pith_short_12","alias_value":"X7NIXBENGT67","created_at":"2026-07-05T06:06:51Z"},{"alias_kind":"pith_short_16","alias_value":"X7NIXBENGT67UJJU","created_at":"2026-07-05T06:06:51Z"},{"alias_kind":"pith_short_8","alias_value":"X7NIXBEN","created_at":"2026-07-05T06:06:51Z"}],"graph_snapshots":[{"event_id":"sha256:7483fec64da8796a4ac42f5a33d5aa1c4c17801878688f1dd57d2668fc8184bf","target":"graph","created_at":"2026-07-05T06:06:51Z","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/2103.16475/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A family of quantum fields is said to be strongly local if it generates a local net of von Neumann algebras. There are few methods of showing directly strong locality of a quantum field. Among them, linear energy bounds are the most widely used, yet a chiral conformal field of conformal weight $d>2$ cannot admit linear energy bounds. In this paper we give a new direct method to prove strong locality in two-dimensional conformal field theory. We prove that if a chiral conformal field satisfies an energy bound of degree $d-1$, then it also satisfies a certain local version of the energy bound, a","authors_text":"Mih\\'aly Weiner, Sebastiano Carpi, Yoh Tanimoto","cross_cats":["math.MP","math.OA","math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2021-03-30T16:32:18Z","title":"Local energy bounds and strong locality in chiral CFT"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.16475","kind":"arxiv","version":5},"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":"sha256:0fdfa9c4c32eaa31b09eba2d874a38bee773338bfeed7b455f7df143e758f65d","target":"record","created_at":"2026-07-05T06:06:51Z","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":"5cf89c6ad2833602002cabb07829c65383599f797f3466859e62a26c33fae4b0","cross_cats_sorted":["math.MP","math.OA","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2021-03-30T16:32:18Z","title_canon_sha256":"848eb8582d205c16b35bf69f2217f69fc9513f0950e16a807f91767ddab12e83"},"schema_version":"1.0","source":{"id":"2103.16475","kind":"arxiv","version":5}},"canonical_sha256":"bfda8b848d34fdfa2534822f1beee02cb675f715e7167b6e2312c2e80ef5a2d6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bfda8b848d34fdfa2534822f1beee02cb675f715e7167b6e2312c2e80ef5a2d6","first_computed_at":"2026-07-05T06:06:51.590556Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:06:51.590556Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jX3iaMysH7a4t+6Y8a0sPXA/f8yDd2ysa044ZA+bsZGPdBbg2wkTP/EPqvnTgQDqpO+2K4TgpWq0t7mFZvtLAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:06:51.590973Z","signed_message":"canonical_sha256_bytes"},"source_id":"2103.16475","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0fdfa9c4c32eaa31b09eba2d874a38bee773338bfeed7b455f7df143e758f65d","sha256:7483fec64da8796a4ac42f5a33d5aa1c4c17801878688f1dd57d2668fc8184bf"],"state_sha256":"72960195ae030749c2e0bbab93beb14a2170a0c2bb233c03df2d0c3693e00f6c"}