{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:HGOJDP5J76WO5UHS73JGR3WMXZ","short_pith_number":"pith:HGOJDP5J","schema_version":"1.0","canonical_sha256":"399c91bfa9ffaceed0f2fed268eeccbe7200bb6341b79f0fedeb9b3636e7a0de","source":{"kind":"arxiv","id":"2005.11314","version":2},"attestation_state":"computed","paper":{"title":"Boundary RG Flows for Fermions and the Mod 2 Anomaly","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"hep-th","authors_text":"David Tong, Philip Boyle Smith","submitted_at":"2020-05-22T17:59:09Z","abstract_excerpt":"Boundary conditions for Majorana fermions in d=1+1 dimensions fall into one of two SPT phases, associated to a mod 2 anomaly. Here we consider boundary conditions for 2N Majorana fermions that preserve a $U(1)^N$ symmetry. In general, the left-moving and right-moving fermions carry different charges under this symmetry, and implementation of the boundary condition requires new degrees of freedom, which manifest themselves in a boundary central charge, $g$.\n  We follow the boundary RG flow induced by turning on relevant boundary operators. We identify the infra-red boundary state. In many cases"},"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":"2005.11314","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-05-22T17:59:09Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"04ede2c92d43ecb82094e0d7c45b4f2437f730bcc0b720e1dbf9ba3cdfbd73bd","abstract_canon_sha256":"12a2f8a17d01857101337cc8ce8300e9afc95b103580d3f113af8277bc21b7a5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:08:08.243176Z","signature_b64":"+LPOFO4HReGhsA6PDpescIe5ijXBtBIdD+Z9jFrKCcLXmISVMBVnWsWJQASF589IU5vJwPbYQRjiJKneoyGADA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"399c91bfa9ffaceed0f2fed268eeccbe7200bb6341b79f0fedeb9b3636e7a0de","last_reissued_at":"2026-07-05T02:08:08.242721Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:08:08.242721Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Boundary RG Flows for Fermions and the Mod 2 Anomaly","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"hep-th","authors_text":"David Tong, Philip Boyle Smith","submitted_at":"2020-05-22T17:59:09Z","abstract_excerpt":"Boundary conditions for Majorana fermions in d=1+1 dimensions fall into one of two SPT phases, associated to a mod 2 anomaly. Here we consider boundary conditions for 2N Majorana fermions that preserve a $U(1)^N$ symmetry. In general, the left-moving and right-moving fermions carry different charges under this symmetry, and implementation of the boundary condition requires new degrees of freedom, which manifest themselves in a boundary central charge, $g$.\n  We follow the boundary RG flow induced by turning on relevant boundary operators. We identify the infra-red boundary state. In many cases"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2005.11314","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/2005.11314/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":"2005.11314","created_at":"2026-07-05T02:08:08.242784+00:00"},{"alias_kind":"arxiv_version","alias_value":"2005.11314v2","created_at":"2026-07-05T02:08:08.242784+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2005.11314","created_at":"2026-07-05T02:08:08.242784+00:00"},{"alias_kind":"pith_short_12","alias_value":"HGOJDP5J76WO","created_at":"2026-07-05T02:08:08.242784+00:00"},{"alias_kind":"pith_short_16","alias_value":"HGOJDP5J76WO5UHS","created_at":"2026-07-05T02:08:08.242784+00:00"},{"alias_kind":"pith_short_8","alias_value":"HGOJDP5J","created_at":"2026-07-05T02:08:08.242784+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.19363","citing_title":"Non-invertible Symmetries in Weyl Fermions, and Applications to Fermion-Boundary Scattering Problem","ref_index":38,"is_internal_anchor":false},{"citing_arxiv_id":"2605.13961","citing_title":"A Twist on Scattering from Defect Anomalies","ref_index":91,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HGOJDP5J76WO5UHS73JGR3WMXZ","json":"https://pith.science/pith/HGOJDP5J76WO5UHS73JGR3WMXZ.json","graph_json":"https://pith.science/api/pith-number/HGOJDP5J76WO5UHS73JGR3WMXZ/graph.json","events_json":"https://pith.science/api/pith-number/HGOJDP5J76WO5UHS73JGR3WMXZ/events.json","paper":"https://pith.science/paper/HGOJDP5J"},"agent_actions":{"view_html":"https://pith.science/pith/HGOJDP5J76WO5UHS73JGR3WMXZ","download_json":"https://pith.science/pith/HGOJDP5J76WO5UHS73JGR3WMXZ.json","view_paper":"https://pith.science/paper/HGOJDP5J","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2005.11314&json=true","fetch_graph":"https://pith.science/api/pith-number/HGOJDP5J76WO5UHS73JGR3WMXZ/graph.json","fetch_events":"https://pith.science/api/pith-number/HGOJDP5J76WO5UHS73JGR3WMXZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HGOJDP5J76WO5UHS73JGR3WMXZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HGOJDP5J76WO5UHS73JGR3WMXZ/action/storage_attestation","attest_author":"https://pith.science/pith/HGOJDP5J76WO5UHS73JGR3WMXZ/action/author_attestation","sign_citation":"https://pith.science/pith/HGOJDP5J76WO5UHS73JGR3WMXZ/action/citation_signature","submit_replication":"https://pith.science/pith/HGOJDP5J76WO5UHS73JGR3WMXZ/action/replication_record"}},"created_at":"2026-07-05T02:08:08.242784+00:00","updated_at":"2026-07-05T02:08:08.242784+00:00"}