{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:7GUGMIWCBXFXFSGCWCTGGFTVBY","short_pith_number":"pith:7GUGMIWC","canonical_record":{"source":{"id":"2605.19363","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-05-19T04:54:07Z","cross_cats_sorted":[],"title_canon_sha256":"723405cd888ecd5cf4274a3e7d5bf2a246de0bdb431cdbbc784f25c8b6694850","abstract_canon_sha256":"8278469ae5100fc201b61894d48a22267db38694513232f09bc9bb0beffcbbf2"},"schema_version":"1.0"},"canonical_sha256":"f9a86622c20dcb72c8c2b0a66316750e17b69f66bb63a05f0c284eefb5996669","source":{"kind":"arxiv","id":"2605.19363","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.19363","created_at":"2026-05-20T01:05:41Z"},{"alias_kind":"arxiv_version","alias_value":"2605.19363v1","created_at":"2026-05-20T01:05:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.19363","created_at":"2026-05-20T01:05:41Z"},{"alias_kind":"pith_short_12","alias_value":"7GUGMIWCBXFX","created_at":"2026-05-20T01:05:41Z"},{"alias_kind":"pith_short_16","alias_value":"7GUGMIWCBXFXFSGC","created_at":"2026-05-20T01:05:41Z"},{"alias_kind":"pith_short_8","alias_value":"7GUGMIWC","created_at":"2026-05-20T01:05:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:7GUGMIWCBXFXFSGCWCTGGFTVBY","target":"record","payload":{"canonical_record":{"source":{"id":"2605.19363","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-05-19T04:54:07Z","cross_cats_sorted":[],"title_canon_sha256":"723405cd888ecd5cf4274a3e7d5bf2a246de0bdb431cdbbc784f25c8b6694850","abstract_canon_sha256":"8278469ae5100fc201b61894d48a22267db38694513232f09bc9bb0beffcbbf2"},"schema_version":"1.0"},"canonical_sha256":"f9a86622c20dcb72c8c2b0a66316750e17b69f66bb63a05f0c284eefb5996669","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T01:05:41.573584Z","signature_b64":"oUiihcxtU++yp/btVJ6JrFS8KQ9/2dmutSkBOHaFYPi5HiOGkGtbjQltn1JI4qDuJpNUZKnFIroEuhmf5+12Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f9a86622c20dcb72c8c2b0a66316750e17b69f66bb63a05f0c284eefb5996669","last_reissued_at":"2026-05-20T01:05:41.572957Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T01:05:41.572957Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.19363","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-20T01:05:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8ev+GbDmm/3Gzxaij3lcMdVoRKe5XUK2PjlM5ubwEAV+exq8064n07lMeZSCrkaV3kMYvnPfCrgSSnl35Dt3Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T21:53:36.473211Z"},"content_sha256":"b4d8c9d0ecf6cb40fc4159cf651d020a56037ed71e30ac0dc051dfb031dd8802","schema_version":"1.0","event_id":"sha256:b4d8c9d0ecf6cb40fc4159cf651d020a56037ed71e30ac0dc051dfb031dd8802"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:7GUGMIWCBXFXFSGCWCTGGFTVBY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-invertible Symmetries in Weyl Fermions, and Applications to Fermion-Boundary Scattering Problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Pengcheng Wei, Yunqin Zheng","submitted_at":"2026-05-19T04:54:07Z","abstract_excerpt":"We construct a family of non-invertible topological defects in two-dimensional theories of $n$ Weyl fermions. The construction relies on the existence of $G$-symmetric conformal boundary conditions for $n$ Dirac fermions. Upon unfolding, these boundary conditions become topological defects $\\mathcal D$ of $n$ Weyl fermions that intertwine the two $G$-representations, and they are generically non-invertible. For $G=U(1)^n$, we show that $\\mathcal D$ is a duality defect associated with gauging a finite Abelian group $\\Gamma$, and we give an explicit algorithm for determining $\\Gamma$ and its act"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.19363","kind":"arxiv","version":1},"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/2605.19363/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-20T01:05:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LjnHUXVSKotVBkgxEvdi7/GY3dYRJqEytry3EEYaSjwtJ9v6VgfgFSVo9ZREq7xiEApdATzAgUx2tgI2vRJdCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T21:53:36.473611Z"},"content_sha256":"95922ad43664a32e6f0cb9f1531d332d111a481182e789f5d76852fbe91aab86","schema_version":"1.0","event_id":"sha256:95922ad43664a32e6f0cb9f1531d332d111a481182e789f5d76852fbe91aab86"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7GUGMIWCBXFXFSGCWCTGGFTVBY/bundle.json","state_url":"https://pith.science/pith/7GUGMIWCBXFXFSGCWCTGGFTVBY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7GUGMIWCBXFXFSGCWCTGGFTVBY/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-20T21:53:36Z","links":{"resolver":"https://pith.science/pith/7GUGMIWCBXFXFSGCWCTGGFTVBY","bundle":"https://pith.science/pith/7GUGMIWCBXFXFSGCWCTGGFTVBY/bundle.json","state":"https://pith.science/pith/7GUGMIWCBXFXFSGCWCTGGFTVBY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7GUGMIWCBXFXFSGCWCTGGFTVBY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:7GUGMIWCBXFXFSGCWCTGGFTVBY","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":"8278469ae5100fc201b61894d48a22267db38694513232f09bc9bb0beffcbbf2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-05-19T04:54:07Z","title_canon_sha256":"723405cd888ecd5cf4274a3e7d5bf2a246de0bdb431cdbbc784f25c8b6694850"},"schema_version":"1.0","source":{"id":"2605.19363","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.19363","created_at":"2026-05-20T01:05:41Z"},{"alias_kind":"arxiv_version","alias_value":"2605.19363v1","created_at":"2026-05-20T01:05:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.19363","created_at":"2026-05-20T01:05:41Z"},{"alias_kind":"pith_short_12","alias_value":"7GUGMIWCBXFX","created_at":"2026-05-20T01:05:41Z"},{"alias_kind":"pith_short_16","alias_value":"7GUGMIWCBXFXFSGC","created_at":"2026-05-20T01:05:41Z"},{"alias_kind":"pith_short_8","alias_value":"7GUGMIWC","created_at":"2026-05-20T01:05:41Z"}],"graph_snapshots":[{"event_id":"sha256:95922ad43664a32e6f0cb9f1531d332d111a481182e789f5d76852fbe91aab86","target":"graph","created_at":"2026-05-20T01:05:41Z","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/2605.19363/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct a family of non-invertible topological defects in two-dimensional theories of $n$ Weyl fermions. The construction relies on the existence of $G$-symmetric conformal boundary conditions for $n$ Dirac fermions. Upon unfolding, these boundary conditions become topological defects $\\mathcal D$ of $n$ Weyl fermions that intertwine the two $G$-representations, and they are generically non-invertible. For $G=U(1)^n$, we show that $\\mathcal D$ is a duality defect associated with gauging a finite Abelian group $\\Gamma$, and we give an explicit algorithm for determining $\\Gamma$ and its act","authors_text":"Pengcheng Wei, Yunqin Zheng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-05-19T04:54:07Z","title":"Non-invertible Symmetries in Weyl Fermions, and Applications to Fermion-Boundary Scattering Problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.19363","kind":"arxiv","version":1},"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:b4d8c9d0ecf6cb40fc4159cf651d020a56037ed71e30ac0dc051dfb031dd8802","target":"record","created_at":"2026-05-20T01:05:41Z","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":"8278469ae5100fc201b61894d48a22267db38694513232f09bc9bb0beffcbbf2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-05-19T04:54:07Z","title_canon_sha256":"723405cd888ecd5cf4274a3e7d5bf2a246de0bdb431cdbbc784f25c8b6694850"},"schema_version":"1.0","source":{"id":"2605.19363","kind":"arxiv","version":1}},"canonical_sha256":"f9a86622c20dcb72c8c2b0a66316750e17b69f66bb63a05f0c284eefb5996669","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f9a86622c20dcb72c8c2b0a66316750e17b69f66bb63a05f0c284eefb5996669","first_computed_at":"2026-05-20T01:05:41.572957Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T01:05:41.572957Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oUiihcxtU++yp/btVJ6JrFS8KQ9/2dmutSkBOHaFYPi5HiOGkGtbjQltn1JI4qDuJpNUZKnFIroEuhmf5+12Bg==","signature_status":"signed_v1","signed_at":"2026-05-20T01:05:41.573584Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.19363","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b4d8c9d0ecf6cb40fc4159cf651d020a56037ed71e30ac0dc051dfb031dd8802","sha256:95922ad43664a32e6f0cb9f1531d332d111a481182e789f5d76852fbe91aab86"],"state_sha256":"1c8fbb5708367d1783fb261a5a87a4fa1dd28851861146109c1d14408396723c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D4UGml1jZJRJQ3QnYSu5ydp02993RTrheTcX9LmY61CYR/SrVR9uGDhOF9Z0LGgn9yuHUBDJhluL6EurexbKDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-20T21:53:36.475857Z","bundle_sha256":"93331c9a4b52559247163512c2d4d7da4de725d76b8f4c4e570354ea6da6bd39"}}