{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:5OMBE5A34XOTUCI4GG27UIOOVH","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":"c08725abdb7c1703bf00f5a181de2557661ffc85db2cd069efacfb50d9631e87","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-08-27T18:00:00Z","title_canon_sha256":"4b05b0f50d7537f824f3c2ee2c88fe745841e8f5ce9f6a097c37f256096d71bc"},"schema_version":"1.0","source":{"id":"2408.15315","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.15315","created_at":"2026-07-05T09:19:30Z"},{"alias_kind":"arxiv_version","alias_value":"2408.15315v2","created_at":"2026-07-05T09:19:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.15315","created_at":"2026-07-05T09:19:30Z"},{"alias_kind":"pith_short_12","alias_value":"5OMBE5A34XOT","created_at":"2026-07-05T09:19:30Z"},{"alias_kind":"pith_short_16","alias_value":"5OMBE5A34XOTUCI4","created_at":"2026-07-05T09:19:30Z"},{"alias_kind":"pith_short_8","alias_value":"5OMBE5A3","created_at":"2026-07-05T09:19:30Z"}],"graph_snapshots":[{"event_id":"sha256:3f515ef546b43de7de5c26c8822f34a2d9b93a12e497ee7843364455eae02ed2","target":"graph","created_at":"2026-07-05T09:19:30Z","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/2408.15315/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We explore the space of scalar line, surface and interface defect field theories in $d=4-\\varepsilon$ by examining their stability properties under generic deformations. Examples are known of multiple stable line defect Conformal Field Theories (dCFTs) existing simultaneously, unlike the case of normal multiscalar field theories where a theorem by Michel guarantees that the stable fixed point is the unique global minimum of a so-called $A$-function. We prove that a suitable modification of Michel's theorem survives for line defect theories, with fixed points locally rather than globally minimi","authors_text":"William H. Pannell","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-08-27T18:00:00Z","title":"A note on defect stability in $d=4-\\varepsilon$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.15315","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":"sha256:6b40c641cdb639a3bffc1cefd6266307470d3f95d58cb82de14dd2077528b954","target":"record","created_at":"2026-07-05T09:19:30Z","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":"c08725abdb7c1703bf00f5a181de2557661ffc85db2cd069efacfb50d9631e87","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-08-27T18:00:00Z","title_canon_sha256":"4b05b0f50d7537f824f3c2ee2c88fe745841e8f5ce9f6a097c37f256096d71bc"},"schema_version":"1.0","source":{"id":"2408.15315","kind":"arxiv","version":2}},"canonical_sha256":"eb9812741be5dd3a091c31b5fa21cea9e78c4d8ec9612dce47a22c2395e586a4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eb9812741be5dd3a091c31b5fa21cea9e78c4d8ec9612dce47a22c2395e586a4","first_computed_at":"2026-07-05T09:19:30.985856Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:19:30.985856Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LZLq8rqOIDhBF0M1qYtoKI7skrYveMVHI0gTNWKG+JuLhTBGoTZV9muNjgT0Qb+b0Dv4gZi3Q8lNSKUQb4AvAw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:19:30.986279Z","signed_message":"canonical_sha256_bytes"},"source_id":"2408.15315","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6b40c641cdb639a3bffc1cefd6266307470d3f95d58cb82de14dd2077528b954","sha256:3f515ef546b43de7de5c26c8822f34a2d9b93a12e497ee7843364455eae02ed2"],"state_sha256":"d04ab4ae3d18ac8d63e93acc24e1cc947b2eda5bde25a0529212ec28264a42dd"}