{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:HHN2N6G5REXOV2F2TXRUSCTJG6","short_pith_number":"pith:HHN2N6G5","canonical_record":{"source":{"id":"2107.00487","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-07-01T14:27:01Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"bf5a25122f413cc02cbf625ba8b528e830147150e6e354b95b651a9a21a67b6b","abstract_canon_sha256":"915146efe650c54897201584f78685a1982022a5633d6885acbfcf0ff58d0f4a"},"schema_version":"1.0"},"canonical_sha256":"39dba6f8dd892eeae8ba9de3490a6937be93f4f1501acae509c81468bef009ac","source":{"kind":"arxiv","id":"2107.00487","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2107.00487","created_at":"2026-07-05T03:46:44Z"},{"alias_kind":"arxiv_version","alias_value":"2107.00487v2","created_at":"2026-07-05T03:46:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2107.00487","created_at":"2026-07-05T03:46:44Z"},{"alias_kind":"pith_short_12","alias_value":"HHN2N6G5REXO","created_at":"2026-07-05T03:46:44Z"},{"alias_kind":"pith_short_16","alias_value":"HHN2N6G5REXOV2F2","created_at":"2026-07-05T03:46:44Z"},{"alias_kind":"pith_short_8","alias_value":"HHN2N6G5","created_at":"2026-07-05T03:46:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:HHN2N6G5REXOV2F2TXRUSCTJG6","target":"record","payload":{"canonical_record":{"source":{"id":"2107.00487","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-07-01T14:27:01Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"bf5a25122f413cc02cbf625ba8b528e830147150e6e354b95b651a9a21a67b6b","abstract_canon_sha256":"915146efe650c54897201584f78685a1982022a5633d6885acbfcf0ff58d0f4a"},"schema_version":"1.0"},"canonical_sha256":"39dba6f8dd892eeae8ba9de3490a6937be93f4f1501acae509c81468bef009ac","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:46:44.965096Z","signature_b64":"U6OCPA18Rm/m6His/rW9jgc0xTLLroECArCYwuqImp+4n5POgQjZdiQp1IXhetC2Ygy9VfXU02AUSMU1s0tOCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"39dba6f8dd892eeae8ba9de3490a6937be93f4f1501acae509c81468bef009ac","last_reissued_at":"2026-07-05T03:46:44.964656Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:46:44.964656Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2107.00487","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":"2026-07-05T03:46:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kkfbWBBcarQ3CAgdNjWXOlavCRosb0DFhyd11U6zFPyhxDraCRNGCwUeZ2rt4WA6cSMWgi9MrV+y1LyV0nNUCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T16:05:56.515043Z"},"content_sha256":"e91bc47a7dcfc61611ed01b81251c4e605826ee90b1bd26e22466c2e8389e1e3","schema_version":"1.0","event_id":"sha256:e91bc47a7dcfc61611ed01b81251c4e605826ee90b1bd26e22466c2e8389e1e3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:HHN2N6G5REXOV2F2TXRUSCTJG6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Symplectic modular symmetry in heterotic string vacua: flavor, CP, and $R$-symmetries","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Hajime Otsuka, Keiya Ishiguro, Tatsuo Kobayashi","submitted_at":"2021-07-01T14:27:01Z","abstract_excerpt":"We examine a common origin of four-dimensional flavor, CP, and $U(1)_R$ symmetries in the context of heterotic string theory with standard embedding. We find that flavor and $U(1)_R$ symmetries are unified into the $Sp(2h+2, \\mathbb{C})$ modular symmetries of Calabi-Yau threefolds with $h$ being the number of moduli fields. Together with the $\\mathbb{Z}_2^{\\rm CP}$ CP symmetry, they are enhanced to $GSp(2h+2, \\mathbb{C})\\simeq Sp(2h+2, \\mathbb{C})\\rtimes \\mathbb{Z}_2^{\\rm CP}$ generalized symplectic modular symmetry. We exemplify the $S_3, S_4, T^\\prime, S_9$ non-Abelian flavor symmetries on e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2107.00487","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/2107.00487/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":"2026-07-05T03:46:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0wKjZCBbpKQVoR95lA5AJiMUxp23iHhOHOoDQLAROFLEen7sg5PZm4B2Ys5kxdmTRrolhWX+0nSPF+ZUXltTBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T16:05:56.515569Z"},"content_sha256":"6e0dd8bbfd4b2310855ee312a110ef099bef0fcb91c6cebadbf46a32ed72b67f","schema_version":"1.0","event_id":"sha256:6e0dd8bbfd4b2310855ee312a110ef099bef0fcb91c6cebadbf46a32ed72b67f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HHN2N6G5REXOV2F2TXRUSCTJG6/bundle.json","state_url":"https://pith.science/pith/HHN2N6G5REXOV2F2TXRUSCTJG6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HHN2N6G5REXOV2F2TXRUSCTJG6/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":"2026-08-16T16:05:56Z","links":{"resolver":"https://pith.science/pith/HHN2N6G5REXOV2F2TXRUSCTJG6","bundle":"https://pith.science/pith/HHN2N6G5REXOV2F2TXRUSCTJG6/bundle.json","state":"https://pith.science/pith/HHN2N6G5REXOV2F2TXRUSCTJG6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HHN2N6G5REXOV2F2TXRUSCTJG6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:HHN2N6G5REXOV2F2TXRUSCTJG6","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":"915146efe650c54897201584f78685a1982022a5633d6885acbfcf0ff58d0f4a","cross_cats_sorted":["hep-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-07-01T14:27:01Z","title_canon_sha256":"bf5a25122f413cc02cbf625ba8b528e830147150e6e354b95b651a9a21a67b6b"},"schema_version":"1.0","source":{"id":"2107.00487","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2107.00487","created_at":"2026-07-05T03:46:44Z"},{"alias_kind":"arxiv_version","alias_value":"2107.00487v2","created_at":"2026-07-05T03:46:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2107.00487","created_at":"2026-07-05T03:46:44Z"},{"alias_kind":"pith_short_12","alias_value":"HHN2N6G5REXO","created_at":"2026-07-05T03:46:44Z"},{"alias_kind":"pith_short_16","alias_value":"HHN2N6G5REXOV2F2","created_at":"2026-07-05T03:46:44Z"},{"alias_kind":"pith_short_8","alias_value":"HHN2N6G5","created_at":"2026-07-05T03:46:44Z"}],"graph_snapshots":[{"event_id":"sha256:6e0dd8bbfd4b2310855ee312a110ef099bef0fcb91c6cebadbf46a32ed72b67f","target":"graph","created_at":"2026-07-05T03:46:44Z","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/2107.00487/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We examine a common origin of four-dimensional flavor, CP, and $U(1)_R$ symmetries in the context of heterotic string theory with standard embedding. We find that flavor and $U(1)_R$ symmetries are unified into the $Sp(2h+2, \\mathbb{C})$ modular symmetries of Calabi-Yau threefolds with $h$ being the number of moduli fields. Together with the $\\mathbb{Z}_2^{\\rm CP}$ CP symmetry, they are enhanced to $GSp(2h+2, \\mathbb{C})\\simeq Sp(2h+2, \\mathbb{C})\\rtimes \\mathbb{Z}_2^{\\rm CP}$ generalized symplectic modular symmetry. We exemplify the $S_3, S_4, T^\\prime, S_9$ non-Abelian flavor symmetries on e","authors_text":"Hajime Otsuka, Keiya Ishiguro, Tatsuo Kobayashi","cross_cats":["hep-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-07-01T14:27:01Z","title":"Symplectic modular symmetry in heterotic string vacua: flavor, CP, and $R$-symmetries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2107.00487","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:e91bc47a7dcfc61611ed01b81251c4e605826ee90b1bd26e22466c2e8389e1e3","target":"record","created_at":"2026-07-05T03:46:44Z","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":"915146efe650c54897201584f78685a1982022a5633d6885acbfcf0ff58d0f4a","cross_cats_sorted":["hep-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-07-01T14:27:01Z","title_canon_sha256":"bf5a25122f413cc02cbf625ba8b528e830147150e6e354b95b651a9a21a67b6b"},"schema_version":"1.0","source":{"id":"2107.00487","kind":"arxiv","version":2}},"canonical_sha256":"39dba6f8dd892eeae8ba9de3490a6937be93f4f1501acae509c81468bef009ac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"39dba6f8dd892eeae8ba9de3490a6937be93f4f1501acae509c81468bef009ac","first_computed_at":"2026-07-05T03:46:44.964656Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:46:44.964656Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"U6OCPA18Rm/m6His/rW9jgc0xTLLroECArCYwuqImp+4n5POgQjZdiQp1IXhetC2Ygy9VfXU02AUSMU1s0tOCw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:46:44.965096Z","signed_message":"canonical_sha256_bytes"},"source_id":"2107.00487","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e91bc47a7dcfc61611ed01b81251c4e605826ee90b1bd26e22466c2e8389e1e3","sha256:6e0dd8bbfd4b2310855ee312a110ef099bef0fcb91c6cebadbf46a32ed72b67f"],"state_sha256":"56255f2c4b7399740204036b5ed024ebb0503c9eed5cc833f5f84b35dc1d3c0c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nFSvgltEmMM3Zs2lwDa01OgmvpiB0Xx2wG363Ri+0Qreojmqy5ywSPFsJdRT+bMTxXvSVbj+w8V7an6GwOA5BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T16:05:56.519479Z","bundle_sha256":"0b1e9ff01a787d6f45bcb9c828d77dfad191e23882f2c81d785152ffa85c9a0a"}}