{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:EGNEU3LA3JA6RQXTCU6XUDZT3P","short_pith_number":"pith:EGNEU3LA","schema_version":"1.0","canonical_sha256":"219a4a6d60da41e8c2f3153d7a0f33dbe23471abfcea2be543f2b69131e54f65","source":{"kind":"arxiv","id":"1907.12339","version":2},"attestation_state":"computed","paper":{"title":"Realizing IR theories by projections in the UV","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.QA"],"primary_cat":"hep-th","authors_text":"Daniel Roggenkamp, Fabian Klos","submitted_at":"2019-07-29T11:32:54Z","abstract_excerpt":"We study bulk RG flows in the context of TQFTs and show how IR theories can be entirely represented within the respective UV theories by means of codimension-one projection defects. What is more, RG flows of the bulk theory can be described in terms of RG flows of the codimension-one identity defect in the fixed UV bulk theory. We illustrate this in the example of RG flows between Landau-Ginzburg orbifold models, for which the respective defects can be described in terms of matrix factorizations."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1907.12339","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-07-29T11:32:54Z","cross_cats_sorted":["math-ph","math.MP","math.QA"],"title_canon_sha256":"a29744d620dd8634e74a9f49fd0bf17f11d123fbcd2cbb860cc333f1c76e2eda","abstract_canon_sha256":"200cc92398798d7d79736134089b65319f602e1d7fec36cccc6929be598d9dc8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:10:26.829376Z","signature_b64":"atjw7c/o9oIzZwhBBaYOFN/Lhu92jPL8WaY3HkfvstM0yBnAkar/OkH2dDK7tpZdOrXktmaGWW+TT6+RHVjCCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"219a4a6d60da41e8c2f3153d7a0f33dbe23471abfcea2be543f2b69131e54f65","last_reissued_at":"2026-07-05T01:10:26.828864Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:10:26.828864Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Realizing IR theories by projections in the UV","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.QA"],"primary_cat":"hep-th","authors_text":"Daniel Roggenkamp, Fabian Klos","submitted_at":"2019-07-29T11:32:54Z","abstract_excerpt":"We study bulk RG flows in the context of TQFTs and show how IR theories can be entirely represented within the respective UV theories by means of codimension-one projection defects. What is more, RG flows of the bulk theory can be described in terms of RG flows of the codimension-one identity defect in the fixed UV bulk theory. We illustrate this in the example of RG flows between Landau-Ginzburg orbifold models, for which the respective defects can be described in terms of matrix factorizations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.12339","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1907.12339/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1907.12339","created_at":"2026-07-05T01:10:26.828929+00:00"},{"alias_kind":"arxiv_version","alias_value":"1907.12339v2","created_at":"2026-07-05T01:10:26.828929+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.12339","created_at":"2026-07-05T01:10:26.828929+00:00"},{"alias_kind":"pith_short_12","alias_value":"EGNEU3LA3JA6","created_at":"2026-07-05T01:10:26.828929+00:00"},{"alias_kind":"pith_short_16","alias_value":"EGNEU3LA3JA6RQXT","created_at":"2026-07-05T01:10:26.828929+00:00"},{"alias_kind":"pith_short_8","alias_value":"EGNEU3LA","created_at":"2026-07-05T01:10:26.828929+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":5,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.07734","citing_title":"Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries","ref_index":200,"is_internal_anchor":false},{"citing_arxiv_id":"2605.07734","citing_title":"Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries","ref_index":206,"is_internal_anchor":false},{"citing_arxiv_id":"2506.23155","citing_title":"Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders","ref_index":126,"is_internal_anchor":false},{"citing_arxiv_id":"2511.11059","citing_title":"Generalizing quantum dimensions: Symmetry-based classification of local pseudo-Hermitian systems and the corresponding domain walls","ref_index":61,"is_internal_anchor":false},{"citing_arxiv_id":"2605.07734","citing_title":"Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries","ref_index":202,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/EGNEU3LA3JA6RQXTCU6XUDZT3P","json":"https://pith.science/pith/EGNEU3LA3JA6RQXTCU6XUDZT3P.json","graph_json":"https://pith.science/api/pith-number/EGNEU3LA3JA6RQXTCU6XUDZT3P/graph.json","events_json":"https://pith.science/api/pith-number/EGNEU3LA3JA6RQXTCU6XUDZT3P/events.json","paper":"https://pith.science/paper/EGNEU3LA"},"agent_actions":{"view_html":"https://pith.science/pith/EGNEU3LA3JA6RQXTCU6XUDZT3P","download_json":"https://pith.science/pith/EGNEU3LA3JA6RQXTCU6XUDZT3P.json","view_paper":"https://pith.science/paper/EGNEU3LA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1907.12339&json=true","fetch_graph":"https://pith.science/api/pith-number/EGNEU3LA3JA6RQXTCU6XUDZT3P/graph.json","fetch_events":"https://pith.science/api/pith-number/EGNEU3LA3JA6RQXTCU6XUDZT3P/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EGNEU3LA3JA6RQXTCU6XUDZT3P/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EGNEU3LA3JA6RQXTCU6XUDZT3P/action/storage_attestation","attest_author":"https://pith.science/pith/EGNEU3LA3JA6RQXTCU6XUDZT3P/action/author_attestation","sign_citation":"https://pith.science/pith/EGNEU3LA3JA6RQXTCU6XUDZT3P/action/citation_signature","submit_replication":"https://pith.science/pith/EGNEU3LA3JA6RQXTCU6XUDZT3P/action/replication_record"}},"created_at":"2026-07-05T01:10:26.828929+00:00","updated_at":"2026-07-05T01:10:26.828929+00:00"}