{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:IYZM7DIN23454DS37FST4K2W44","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":"95e8ddccd10dbde8a59fa867b592a39700ef966c8e410fa9f55646c79224125a","cross_cats_sorted":["cond-mat.str-el"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-12-24T19:00:01Z","title_canon_sha256":"c20fa2be12662cd606f1e4b2209615115a06f8a7026ec20fe321c9a4e9df2ff5"},"schema_version":"1.0","source":{"id":"2412.18652","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.18652","created_at":"2026-07-05T10:30:29Z"},{"alias_kind":"arxiv_version","alias_value":"2412.18652v2","created_at":"2026-07-05T10:30:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.18652","created_at":"2026-07-05T10:30:29Z"},{"alias_kind":"pith_short_12","alias_value":"IYZM7DIN2345","created_at":"2026-07-05T10:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"IYZM7DIN23454DS3","created_at":"2026-07-05T10:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"IYZM7DIN","created_at":"2026-07-05T10:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:3da6a54a637201d71a5cb3e3311a3acfd6ee9bffec52d52a0aa567c74c715c3c","target":"graph","created_at":"2026-07-05T10:30:29Z","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/2412.18652/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Extended objects (defects) in Quantum Field Theory exhibit rich, nontrivial dynamics describing a variety of physical phenomena. These systems often involve strong coupling at long distances, where the bulk and defects interact, making analytical studies challenging. By carefully analyzing the behavior of bulk symmetries in the presence of defects, we uncover robust topological constraints on defect RG flows. Specifically, we introduce the notions of $\\textit{defect anomalies}$ and $\\textit{symmetry reflecting defects}$, both of which are RG-invariant. Several known notions, such as higher-for","authors_text":"Andrea Antinucci, Christian Copetti, Giovanni Galati, Giovanni Rizi","cross_cats":["cond-mat.str-el"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-12-24T19:00:01Z","title":"Topological Constraints on Defect Dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.18652","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":"sha256:85704c69b2c5a8f9386767412099a001a6c26e429c953c76f9931642a72c0425","target":"record","created_at":"2026-07-05T10:30:29Z","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":"95e8ddccd10dbde8a59fa867b592a39700ef966c8e410fa9f55646c79224125a","cross_cats_sorted":["cond-mat.str-el"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-12-24T19:00:01Z","title_canon_sha256":"c20fa2be12662cd606f1e4b2209615115a06f8a7026ec20fe321c9a4e9df2ff5"},"schema_version":"1.0","source":{"id":"2412.18652","kind":"arxiv","version":2}},"canonical_sha256":"4632cf8d0dd6f9de0e5bf9653e2b56e706423d3977e2fb99ccf9fb39d1cdc531","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4632cf8d0dd6f9de0e5bf9653e2b56e706423d3977e2fb99ccf9fb39d1cdc531","first_computed_at":"2026-07-05T10:30:29.599372Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:30:29.599372Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"leHLzBbm1p0r0hJEhi5LGQng6lBuN5mU22h390xNxq+eDLMGBv/WCccWxFJVwq9uNZYVFdm7zvHSTXRDgbGCDw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:30:29.599912Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.18652","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:85704c69b2c5a8f9386767412099a001a6c26e429c953c76f9931642a72c0425","sha256:3da6a54a637201d71a5cb3e3311a3acfd6ee9bffec52d52a0aa567c74c715c3c"],"state_sha256":"b950bdfb91ea6a1c50e1891dd23cf0d3b04840e1d107840c99dc12acc562a4d0"}