{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:LZBQXLGOSOBSMPG7KALFAJGNMY","short_pith_number":"pith:LZBQXLGO","canonical_record":{"source":{"id":"2506.10241","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2025-06-11T23:49:04Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"fc9ed9c8f21dc2101750e5bf16c28622f9c034ceb1c309cea788502f592d657f","abstract_canon_sha256":"705ea75cf40773fafb89f64b8d1e91e38132001330d2f9a675b23045b843e80f"},"schema_version":"1.0"},"canonical_sha256":"5e430bacce9383263cdf50165024cd6631ba9450802571dc3e128741be2acac6","source":{"kind":"arxiv","id":"2506.10241","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.10241","created_at":"2026-07-05T11:20:19Z"},{"alias_kind":"arxiv_version","alias_value":"2506.10241v1","created_at":"2026-07-05T11:20:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.10241","created_at":"2026-07-05T11:20:19Z"},{"alias_kind":"pith_short_12","alias_value":"LZBQXLGOSOBS","created_at":"2026-07-05T11:20:19Z"},{"alias_kind":"pith_short_16","alias_value":"LZBQXLGOSOBSMPG7","created_at":"2026-07-05T11:20:19Z"},{"alias_kind":"pith_short_8","alias_value":"LZBQXLGO","created_at":"2026-07-05T11:20:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:LZBQXLGOSOBSMPG7KALFAJGNMY","target":"record","payload":{"canonical_record":{"source":{"id":"2506.10241","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2025-06-11T23:49:04Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"fc9ed9c8f21dc2101750e5bf16c28622f9c034ceb1c309cea788502f592d657f","abstract_canon_sha256":"705ea75cf40773fafb89f64b8d1e91e38132001330d2f9a675b23045b843e80f"},"schema_version":"1.0"},"canonical_sha256":"5e430bacce9383263cdf50165024cd6631ba9450802571dc3e128741be2acac6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:20:19.670380Z","signature_b64":"cRyfeqen75tpLoiOwFXBX4mejs3Dup7ht9DDXl5XxDa/S8xruw0z3d80oE+mYYvBxJONALWIfeAACRQ/mTPXBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5e430bacce9383263cdf50165024cd6631ba9450802571dc3e128741be2acac6","last_reissued_at":"2026-07-05T11:20:19.669863Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:20:19.669863Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.10241","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":"2026-07-05T11:20:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SZTBT6NkELsmE+r0DVvtp0pWIDKMn7+pCeMRVFYhgJ06X4E9yczd2EXPFjsOIsQzt9bmNTVVUIrULvmRRWbzBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T14:51:39.420068Z"},"content_sha256":"65892d6efce5a09b6db9c757e8fbbf06014ee79edc9acb00f74f1b0cdd999575","schema_version":"1.0","event_id":"sha256:65892d6efce5a09b6db9c757e8fbbf06014ee79edc9acb00f74f1b0cdd999575"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:LZBQXLGOSOBSMPG7KALFAJGNMY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Matter symmetries in supersymmetric standard models from non-invertible selection rules","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Hajime Otsuka, Hironobu Mita, Riku Sakuma, Tatsuo Kobayashi","submitted_at":"2025-06-11T23:49:04Z","abstract_excerpt":"We discuss phenomenological implications of non-invertible selection rules in the framework of the supersymmetric standard model. We find that a remnant $\\mathbb{Z}_2$ symmetry of fusion algebras which holds at all-loop order plays the role of $R$-parity, forbidding baryon and lepton violating operators. In addition, a combination of Standard Model gauge symmetry and the non-invertible selection rules lead to baryon triality and proton hexality that can protect the proton from decay. In general, our finding selection rules can not realize the same results as conventional $\\mathbb{Z}_N$ symmetr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.10241","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/2506.10241/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":"2026-07-05T11:20:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h5H6emETFNOYA93FAfj0bpNuheUOa5WZDfAf52QG7Ozamo76sftIiMxzV6wsm13X5rKqRXjye5py5JKtSLvVDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T14:51:39.420902Z"},"content_sha256":"f3c06e4dc854a34c45c6238e4fb531660dfd030d2e20b7526ac8a3deb0c77a6f","schema_version":"1.0","event_id":"sha256:f3c06e4dc854a34c45c6238e4fb531660dfd030d2e20b7526ac8a3deb0c77a6f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LZBQXLGOSOBSMPG7KALFAJGNMY/bundle.json","state_url":"https://pith.science/pith/LZBQXLGOSOBSMPG7KALFAJGNMY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LZBQXLGOSOBSMPG7KALFAJGNMY/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":"2026-08-04T14:51:39Z","links":{"resolver":"https://pith.science/pith/LZBQXLGOSOBSMPG7KALFAJGNMY","bundle":"https://pith.science/pith/LZBQXLGOSOBSMPG7KALFAJGNMY/bundle.json","state":"https://pith.science/pith/LZBQXLGOSOBSMPG7KALFAJGNMY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LZBQXLGOSOBSMPG7KALFAJGNMY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:LZBQXLGOSOBSMPG7KALFAJGNMY","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":"705ea75cf40773fafb89f64b8d1e91e38132001330d2f9a675b23045b843e80f","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2025-06-11T23:49:04Z","title_canon_sha256":"fc9ed9c8f21dc2101750e5bf16c28622f9c034ceb1c309cea788502f592d657f"},"schema_version":"1.0","source":{"id":"2506.10241","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.10241","created_at":"2026-07-05T11:20:19Z"},{"alias_kind":"arxiv_version","alias_value":"2506.10241v1","created_at":"2026-07-05T11:20:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.10241","created_at":"2026-07-05T11:20:19Z"},{"alias_kind":"pith_short_12","alias_value":"LZBQXLGOSOBS","created_at":"2026-07-05T11:20:19Z"},{"alias_kind":"pith_short_16","alias_value":"LZBQXLGOSOBSMPG7","created_at":"2026-07-05T11:20:19Z"},{"alias_kind":"pith_short_8","alias_value":"LZBQXLGO","created_at":"2026-07-05T11:20:19Z"}],"graph_snapshots":[{"event_id":"sha256:f3c06e4dc854a34c45c6238e4fb531660dfd030d2e20b7526ac8a3deb0c77a6f","target":"graph","created_at":"2026-07-05T11:20:19Z","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/2506.10241/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We discuss phenomenological implications of non-invertible selection rules in the framework of the supersymmetric standard model. We find that a remnant $\\mathbb{Z}_2$ symmetry of fusion algebras which holds at all-loop order plays the role of $R$-parity, forbidding baryon and lepton violating operators. In addition, a combination of Standard Model gauge symmetry and the non-invertible selection rules lead to baryon triality and proton hexality that can protect the proton from decay. In general, our finding selection rules can not realize the same results as conventional $\\mathbb{Z}_N$ symmetr","authors_text":"Hajime Otsuka, Hironobu Mita, Riku Sakuma, Tatsuo Kobayashi","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2025-06-11T23:49:04Z","title":"Matter symmetries in supersymmetric standard models from non-invertible selection rules"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.10241","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":"sha256:65892d6efce5a09b6db9c757e8fbbf06014ee79edc9acb00f74f1b0cdd999575","target":"record","created_at":"2026-07-05T11:20:19Z","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":"705ea75cf40773fafb89f64b8d1e91e38132001330d2f9a675b23045b843e80f","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2025-06-11T23:49:04Z","title_canon_sha256":"fc9ed9c8f21dc2101750e5bf16c28622f9c034ceb1c309cea788502f592d657f"},"schema_version":"1.0","source":{"id":"2506.10241","kind":"arxiv","version":1}},"canonical_sha256":"5e430bacce9383263cdf50165024cd6631ba9450802571dc3e128741be2acac6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5e430bacce9383263cdf50165024cd6631ba9450802571dc3e128741be2acac6","first_computed_at":"2026-07-05T11:20:19.669863Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:20:19.669863Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cRyfeqen75tpLoiOwFXBX4mejs3Dup7ht9DDXl5XxDa/S8xruw0z3d80oE+mYYvBxJONALWIfeAACRQ/mTPXBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:20:19.670380Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.10241","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:65892d6efce5a09b6db9c757e8fbbf06014ee79edc9acb00f74f1b0cdd999575","sha256:f3c06e4dc854a34c45c6238e4fb531660dfd030d2e20b7526ac8a3deb0c77a6f"],"state_sha256":"c230440192a2b7f3e2c8e8d0cb06d2e2ccbaca0acbf7d2533801c529a774ea3e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WlDNjC0XMN3ryWCDxxKgpOt0q3cx49uWEgiOe7mgydmdggLQ72UxFisvVYirXLOM2ZMO/n4uCQr3LtmZIwerCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T14:51:39.435803Z","bundle_sha256":"bb7221bb62632aec52f86cf30f902c2ea323c108e2b307a4b97c21cb47a4468e"}}