{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:5S6XS3XGRPLBM2UQTPXNMBLAFN","short_pith_number":"pith:5S6XS3XG","canonical_record":{"source":{"id":"2312.17308","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-12-28T18:53:50Z","cross_cats_sorted":[],"title_canon_sha256":"f459b28b4499f38c4d30a1f7f3d93dfe7fad37c74511ca2665c3079514f5c9db","abstract_canon_sha256":"d55fae454f2ec7cacf6242c80c54991055f80dc6c7155a9f13c536adc0f4ef3a"},"schema_version":"1.0"},"canonical_sha256":"ecbd796ee68bd6166a909beed605602b675cb368c7ec0849599454c93b2b6f56","source":{"kind":"arxiv","id":"2312.17308","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.17308","created_at":"2026-07-05T10:01:11Z"},{"alias_kind":"arxiv_version","alias_value":"2312.17308v2","created_at":"2026-07-05T10:01:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.17308","created_at":"2026-07-05T10:01:11Z"},{"alias_kind":"pith_short_12","alias_value":"5S6XS3XGRPLB","created_at":"2026-07-05T10:01:11Z"},{"alias_kind":"pith_short_16","alias_value":"5S6XS3XGRPLBM2UQ","created_at":"2026-07-05T10:01:11Z"},{"alias_kind":"pith_short_8","alias_value":"5S6XS3XG","created_at":"2026-07-05T10:01:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:5S6XS3XGRPLBM2UQTPXNMBLAFN","target":"record","payload":{"canonical_record":{"source":{"id":"2312.17308","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-12-28T18:53:50Z","cross_cats_sorted":[],"title_canon_sha256":"f459b28b4499f38c4d30a1f7f3d93dfe7fad37c74511ca2665c3079514f5c9db","abstract_canon_sha256":"d55fae454f2ec7cacf6242c80c54991055f80dc6c7155a9f13c536adc0f4ef3a"},"schema_version":"1.0"},"canonical_sha256":"ecbd796ee68bd6166a909beed605602b675cb368c7ec0849599454c93b2b6f56","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:01:11.239785Z","signature_b64":"beczHu+4dgkh4cALj3op3cZqGQUfS3ETl8qKI5w2sI9X7aKrzpMQR5K25DicUjpRwTPYhZ1SQUKtRRYTrPsbAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ecbd796ee68bd6166a909beed605602b675cb368c7ec0849599454c93b2b6f56","last_reissued_at":"2026-07-05T10:01:11.239355Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:01:11.239355Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2312.17308","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:01:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FQHojIn/8+cYdDdXy6s89br/zJs0r5g16FakTnTT6UM77XZc+GiMeUa09q2IKW9NqIQ4LnF1sFoEiJHYMJrBBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T21:29:06.109498Z"},"content_sha256":"340b002526b38d70805344b29696a1bba5bcfe1f72fcdc29db96f01df993f6c0","schema_version":"1.0","event_id":"sha256:340b002526b38d70805344b29696a1bba5bcfe1f72fcdc29db96f01df993f6c0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:5S6XS3XGRPLBM2UQTPXNMBLAFN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-Invertible Symmetry in Calabi-Yau Conformal Field Theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Clay Cordova, Giovanni Rizi","submitted_at":"2023-12-28T18:53:50Z","abstract_excerpt":"We construct examples of non-invertible global symmetries in two-dimensional superconformal field theories described by sigma models into Calabi-Yau target spaces. Our construction provides some of the first examples of non-invertible symmetry in irrational conformal field theories. Our approach begins at a Gepner point in the conformal manifold where the sigma model specializes to a rational conformal field theory and we can identify all supersymmetric topological Verlinde lines. By deforming away from this special locus using exactly marginal operators, we then identify submanifolds in modul"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.17308","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/2312.17308/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":"2026-07-05T10:01:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PodYkM5eqxXL/RVtdDTxzvGUMgicE85nLya7hHYonwQiSTR7Cwfn7k3dwV6fQNpg8Xtz/iTSlDuiSaeAS1lpAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T21:29:06.110479Z"},"content_sha256":"365fbe996f3f959b50429d41b6701cd5f32049390da0e822bbefc29bc7725acb","schema_version":"1.0","event_id":"sha256:365fbe996f3f959b50429d41b6701cd5f32049390da0e822bbefc29bc7725acb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5S6XS3XGRPLBM2UQTPXNMBLAFN/bundle.json","state_url":"https://pith.science/pith/5S6XS3XGRPLBM2UQTPXNMBLAFN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5S6XS3XGRPLBM2UQTPXNMBLAFN/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":"2026-08-07T21:29:06Z","links":{"resolver":"https://pith.science/pith/5S6XS3XGRPLBM2UQTPXNMBLAFN","bundle":"https://pith.science/pith/5S6XS3XGRPLBM2UQTPXNMBLAFN/bundle.json","state":"https://pith.science/pith/5S6XS3XGRPLBM2UQTPXNMBLAFN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5S6XS3XGRPLBM2UQTPXNMBLAFN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:5S6XS3XGRPLBM2UQTPXNMBLAFN","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":"d55fae454f2ec7cacf6242c80c54991055f80dc6c7155a9f13c536adc0f4ef3a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-12-28T18:53:50Z","title_canon_sha256":"f459b28b4499f38c4d30a1f7f3d93dfe7fad37c74511ca2665c3079514f5c9db"},"schema_version":"1.0","source":{"id":"2312.17308","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.17308","created_at":"2026-07-05T10:01:11Z"},{"alias_kind":"arxiv_version","alias_value":"2312.17308v2","created_at":"2026-07-05T10:01:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.17308","created_at":"2026-07-05T10:01:11Z"},{"alias_kind":"pith_short_12","alias_value":"5S6XS3XGRPLB","created_at":"2026-07-05T10:01:11Z"},{"alias_kind":"pith_short_16","alias_value":"5S6XS3XGRPLBM2UQ","created_at":"2026-07-05T10:01:11Z"},{"alias_kind":"pith_short_8","alias_value":"5S6XS3XG","created_at":"2026-07-05T10:01:11Z"}],"graph_snapshots":[{"event_id":"sha256:365fbe996f3f959b50429d41b6701cd5f32049390da0e822bbefc29bc7725acb","target":"graph","created_at":"2026-07-05T10:01:11Z","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/2312.17308/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct examples of non-invertible global symmetries in two-dimensional superconformal field theories described by sigma models into Calabi-Yau target spaces. Our construction provides some of the first examples of non-invertible symmetry in irrational conformal field theories. Our approach begins at a Gepner point in the conformal manifold where the sigma model specializes to a rational conformal field theory and we can identify all supersymmetric topological Verlinde lines. By deforming away from this special locus using exactly marginal operators, we then identify submanifolds in modul","authors_text":"Clay Cordova, Giovanni Rizi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-12-28T18:53:50Z","title":"Non-Invertible Symmetry in Calabi-Yau Conformal Field Theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.17308","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":"sha256:340b002526b38d70805344b29696a1bba5bcfe1f72fcdc29db96f01df993f6c0","target":"record","created_at":"2026-07-05T10:01:11Z","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":"d55fae454f2ec7cacf6242c80c54991055f80dc6c7155a9f13c536adc0f4ef3a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-12-28T18:53:50Z","title_canon_sha256":"f459b28b4499f38c4d30a1f7f3d93dfe7fad37c74511ca2665c3079514f5c9db"},"schema_version":"1.0","source":{"id":"2312.17308","kind":"arxiv","version":2}},"canonical_sha256":"ecbd796ee68bd6166a909beed605602b675cb368c7ec0849599454c93b2b6f56","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ecbd796ee68bd6166a909beed605602b675cb368c7ec0849599454c93b2b6f56","first_computed_at":"2026-07-05T10:01:11.239355Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:01:11.239355Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"beczHu+4dgkh4cALj3op3cZqGQUfS3ETl8qKI5w2sI9X7aKrzpMQR5K25DicUjpRwTPYhZ1SQUKtRRYTrPsbAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:01:11.239785Z","signed_message":"canonical_sha256_bytes"},"source_id":"2312.17308","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:340b002526b38d70805344b29696a1bba5bcfe1f72fcdc29db96f01df993f6c0","sha256:365fbe996f3f959b50429d41b6701cd5f32049390da0e822bbefc29bc7725acb"],"state_sha256":"1329662485ebc361300004a221f09728c78a7dfae7682cbbf0460f3f81d05293"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Sr317IFjuk4dUlS20zUeK1cAbCINdylJGcaERhQ28J04Jln5b+zy9mvCOBaxyK0gjADrLBhRvrfb6I2j3XCoBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T21:29:06.118570Z","bundle_sha256":"6409adc300959013480ba442cf41c3b313edf38f2efdee3071264444569e1e47"}}