{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:XUWBWTQOA5VSYLLW4EVQ4ZW2OL","short_pith_number":"pith:XUWBWTQO","canonical_record":{"source":{"id":"0911.3611","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-11-18T18:02:29Z","cross_cats_sorted":[],"title_canon_sha256":"94f82d1c0541128a3c2b69442e7867e05f550810190e27cfb6e98325c06719e1","abstract_canon_sha256":"ca1c899f31874db7f664aa353e7a1281834726f51272dcdd847cf6d2a38e322e"},"schema_version":"1.0"},"canonical_sha256":"bd2c1b4e0e076b2c2d76e12b0e66da72fb75b129e0fb0b3fa4f668efec42dbc5","source":{"kind":"arxiv","id":"0911.3611","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.3611","created_at":"2026-05-18T02:34:04Z"},{"alias_kind":"arxiv_version","alias_value":"0911.3611v2","created_at":"2026-05-18T02:34:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.3611","created_at":"2026-05-18T02:34:04Z"},{"alias_kind":"pith_short_12","alias_value":"XUWBWTQOA5VS","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"XUWBWTQOA5VSYLLW","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"XUWBWTQO","created_at":"2026-05-18T12:26:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:XUWBWTQOA5VSYLLW4EVQ4ZW2OL","target":"record","payload":{"canonical_record":{"source":{"id":"0911.3611","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-11-18T18:02:29Z","cross_cats_sorted":[],"title_canon_sha256":"94f82d1c0541128a3c2b69442e7867e05f550810190e27cfb6e98325c06719e1","abstract_canon_sha256":"ca1c899f31874db7f664aa353e7a1281834726f51272dcdd847cf6d2a38e322e"},"schema_version":"1.0"},"canonical_sha256":"bd2c1b4e0e076b2c2d76e12b0e66da72fb75b129e0fb0b3fa4f668efec42dbc5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:34:04.723380Z","signature_b64":"PIURciOqxEft136gnzh52syITIzHfSGRQud1K6s/rURk8gdgvRJaVJ8GZqUys8i5+wYt9INWnAp+pyyqfzgOAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bd2c1b4e0e076b2c2d76e12b0e66da72fb75b129e0fb0b3fa4f668efec42dbc5","last_reissued_at":"2026-05-18T02:34:04.722791Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:34:04.722791Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0911.3611","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":"2026-05-18T02:34:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vCC1E2HZkfOhxNpiG9XvGKUzp3qr+8OHswHqXm3ETNedOl2B73ul5UsINecAXBykitJhY+SMEO6eL8fESb3DBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T08:19:24.237743Z"},"content_sha256":"e28871d9380f6e6894ccb84523af06c5509d820da2a9b700ad3127d2924bc6af","schema_version":"1.0","event_id":"sha256:e28871d9380f6e6894ccb84523af06c5509d820da2a9b700ad3127d2924bc6af"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:XUWBWTQOA5VSYLLW4EVQ4ZW2OL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Flavour Geometry and Effective Yukawa Couplings in the MSSM","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Apostolos Pilaftsis, Jae Sik Lee, John Ellis, Robert N. Hodgkinson","submitted_at":"2009-11-18T18:02:29Z","abstract_excerpt":"We present a new geometric approach to the flavour decomposition of an arbitrary soft supersymmetry-breaking sector in the MSSM. Our approach is based on the geometry that results from the quark and lepton Yukawa couplings, and enables us to derive the necessary and sufficient conditions for a linearly-independent basis of matrices related to the completeness of the internal [SU(3) x U(1)]^5 flavour space. In a second step, we calculate the effective Yukawa couplings that are enhanced at large values of tan(beta) for general soft supersymmetry-breaking mass parameters. We highlight the contrib"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.3611","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":""},"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":"2026-05-18T02:34:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u1tu8gvVG+6iBO67KWWxb76t3KdYoMZFaZ+AeRxi/cGAfDV6IJPgz5q7drWv3CDOxljqxPqPUpiCemlG/Ck3CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T08:19:24.238068Z"},"content_sha256":"e0d952e2ce16daba5473f4b534d0f2872412bed91990e7775d6ad6707d83aeb2","schema_version":"1.0","event_id":"sha256:e0d952e2ce16daba5473f4b534d0f2872412bed91990e7775d6ad6707d83aeb2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XUWBWTQOA5VSYLLW4EVQ4ZW2OL/bundle.json","state_url":"https://pith.science/pith/XUWBWTQOA5VSYLLW4EVQ4ZW2OL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XUWBWTQOA5VSYLLW4EVQ4ZW2OL/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":"2026-06-03T08:19:24Z","links":{"resolver":"https://pith.science/pith/XUWBWTQOA5VSYLLW4EVQ4ZW2OL","bundle":"https://pith.science/pith/XUWBWTQOA5VSYLLW4EVQ4ZW2OL/bundle.json","state":"https://pith.science/pith/XUWBWTQOA5VSYLLW4EVQ4ZW2OL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XUWBWTQOA5VSYLLW4EVQ4ZW2OL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:XUWBWTQOA5VSYLLW4EVQ4ZW2OL","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":"ca1c899f31874db7f664aa353e7a1281834726f51272dcdd847cf6d2a38e322e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-11-18T18:02:29Z","title_canon_sha256":"94f82d1c0541128a3c2b69442e7867e05f550810190e27cfb6e98325c06719e1"},"schema_version":"1.0","source":{"id":"0911.3611","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.3611","created_at":"2026-05-18T02:34:04Z"},{"alias_kind":"arxiv_version","alias_value":"0911.3611v2","created_at":"2026-05-18T02:34:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.3611","created_at":"2026-05-18T02:34:04Z"},{"alias_kind":"pith_short_12","alias_value":"XUWBWTQOA5VS","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"XUWBWTQOA5VSYLLW","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"XUWBWTQO","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:e0d952e2ce16daba5473f4b534d0f2872412bed91990e7775d6ad6707d83aeb2","target":"graph","created_at":"2026-05-18T02:34:04Z","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"},"paper":{"abstract_excerpt":"We present a new geometric approach to the flavour decomposition of an arbitrary soft supersymmetry-breaking sector in the MSSM. Our approach is based on the geometry that results from the quark and lepton Yukawa couplings, and enables us to derive the necessary and sufficient conditions for a linearly-independent basis of matrices related to the completeness of the internal [SU(3) x U(1)]^5 flavour space. In a second step, we calculate the effective Yukawa couplings that are enhanced at large values of tan(beta) for general soft supersymmetry-breaking mass parameters. We highlight the contrib","authors_text":"Apostolos Pilaftsis, Jae Sik Lee, John Ellis, Robert N. Hodgkinson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-11-18T18:02:29Z","title":"Flavour Geometry and Effective Yukawa Couplings in the MSSM"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.3611","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:e28871d9380f6e6894ccb84523af06c5509d820da2a9b700ad3127d2924bc6af","target":"record","created_at":"2026-05-18T02:34:04Z","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":"ca1c899f31874db7f664aa353e7a1281834726f51272dcdd847cf6d2a38e322e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-11-18T18:02:29Z","title_canon_sha256":"94f82d1c0541128a3c2b69442e7867e05f550810190e27cfb6e98325c06719e1"},"schema_version":"1.0","source":{"id":"0911.3611","kind":"arxiv","version":2}},"canonical_sha256":"bd2c1b4e0e076b2c2d76e12b0e66da72fb75b129e0fb0b3fa4f668efec42dbc5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bd2c1b4e0e076b2c2d76e12b0e66da72fb75b129e0fb0b3fa4f668efec42dbc5","first_computed_at":"2026-05-18T02:34:04.722791Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:34:04.722791Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PIURciOqxEft136gnzh52syITIzHfSGRQud1K6s/rURk8gdgvRJaVJ8GZqUys8i5+wYt9INWnAp+pyyqfzgOAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:34:04.723380Z","signed_message":"canonical_sha256_bytes"},"source_id":"0911.3611","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e28871d9380f6e6894ccb84523af06c5509d820da2a9b700ad3127d2924bc6af","sha256:e0d952e2ce16daba5473f4b534d0f2872412bed91990e7775d6ad6707d83aeb2"],"state_sha256":"c2b3fb7b1e88319e940e3144941134145b4e8d4a2dbdbcef8c936247f12ade36"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r9cAYYFIKcH/Nmxx1h13ZzbkS+iDHInuW9d2x9RNI5D08Fh6XhzFgexILHJtMTsxlikrwAWMeZTgqc58ZVoTDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T08:19:24.239933Z","bundle_sha256":"585c3e0969d0658aff53004b75e249c01fdca5c9fa0e22f36a8166290076bf88"}}