{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:VI465OT454KS5QDU7DZZXWD3PP","short_pith_number":"pith:VI465OT4","canonical_record":{"source":{"id":"1001.2561","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-01-14T21:04:42Z","cross_cats_sorted":[],"title_canon_sha256":"a524e17de7cce53dc062c435968fd2c33d72d9b1a2e90e9c468b20ccbc59510d","abstract_canon_sha256":"9292ee88dd3311f3623e45a62a1032d1fcdecb0bf8c572b4a32bc46746179230"},"schema_version":"1.0"},"canonical_sha256":"aa39eeba7cef152ec074f8f39bd87b7bef59b5ae2ae333d6d228d1eed29bc094","source":{"kind":"arxiv","id":"1001.2561","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.2561","created_at":"2026-05-18T02:33:49Z"},{"alias_kind":"arxiv_version","alias_value":"1001.2561v1","created_at":"2026-05-18T02:33:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.2561","created_at":"2026-05-18T02:33:49Z"},{"alias_kind":"pith_short_12","alias_value":"VI465OT454KS","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"VI465OT454KS5QDU","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"VI465OT4","created_at":"2026-05-18T12:26:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:VI465OT454KS5QDU7DZZXWD3PP","target":"record","payload":{"canonical_record":{"source":{"id":"1001.2561","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-01-14T21:04:42Z","cross_cats_sorted":[],"title_canon_sha256":"a524e17de7cce53dc062c435968fd2c33d72d9b1a2e90e9c468b20ccbc59510d","abstract_canon_sha256":"9292ee88dd3311f3623e45a62a1032d1fcdecb0bf8c572b4a32bc46746179230"},"schema_version":"1.0"},"canonical_sha256":"aa39eeba7cef152ec074f8f39bd87b7bef59b5ae2ae333d6d228d1eed29bc094","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:49.724346Z","signature_b64":"WmA1awwtIpy+dctAMrugapIVmoPQmzRaONNOAcCSG0GCXWaLNy6OIh9ZjileWbc/5/AWauCBhXhlzAVu1yovAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aa39eeba7cef152ec074f8f39bd87b7bef59b5ae2ae333d6d228d1eed29bc094","last_reissued_at":"2026-05-18T02:33:49.723838Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:49.723838Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1001.2561","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":"2026-05-18T02:33:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VgCWMebi2eynK9IG0YTo/sowbahY28HjsFfIbp86Im0J2YlSOKqvs3bmhs3+HKkBR0r49rhAmKL8989wcW2fBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T00:10:28.303155Z"},"content_sha256":"481e8c1b26892b711516784f9efebff871add52061b467521f6f2c2520f65a09","schema_version":"1.0","event_id":"sha256:481e8c1b26892b711516784f9efebff871add52061b467521f6f2c2520f65a09"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:VI465OT454KS5QDU7DZZXWD3PP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Renormalization-group constraints on Yukawa alignment in multi-Higgs-doublet models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Joao P. Silva, L. Lavoura, P.M. Ferreira","submitted_at":"2010-01-14T21:04:42Z","abstract_excerpt":"We write down the renormalization-group equations for the Yukawa-coupling matrices in a general multi-Higgs-doublet model. We then assume that the matrices of the Yukawa couplings of the various Higgs doublets to right-handed fermions of fixed quantum numbers are all proportional to each other. We demonstrate that, in the case of the two-Higgs-doublet model, this proportionality is preserved by the renormalization-group running only in the cases of the standard type-I, II, X, and Y models. We furthermore show that a similar result holds even when there are more than two Higgs doublets: the Yuk"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.2561","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":""},"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":"2026-05-18T02:33:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SLzyutGRS7uD+iu6zGzCSIHwlD6rm6WvsvG0IwDytE+Fbz+VogKCOuRJQEj7tJpEK5wNz+NPHjED9VAEUnrVDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T00:10:28.303556Z"},"content_sha256":"0b009664d06f7490ce4c0cda69c6e2aa004bd1e07ead1aceedd09b1e8e6a7ca9","schema_version":"1.0","event_id":"sha256:0b009664d06f7490ce4c0cda69c6e2aa004bd1e07ead1aceedd09b1e8e6a7ca9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VI465OT454KS5QDU7DZZXWD3PP/bundle.json","state_url":"https://pith.science/pith/VI465OT454KS5QDU7DZZXWD3PP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VI465OT454KS5QDU7DZZXWD3PP/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":"2026-05-30T00:10:28Z","links":{"resolver":"https://pith.science/pith/VI465OT454KS5QDU7DZZXWD3PP","bundle":"https://pith.science/pith/VI465OT454KS5QDU7DZZXWD3PP/bundle.json","state":"https://pith.science/pith/VI465OT454KS5QDU7DZZXWD3PP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VI465OT454KS5QDU7DZZXWD3PP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:VI465OT454KS5QDU7DZZXWD3PP","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":"9292ee88dd3311f3623e45a62a1032d1fcdecb0bf8c572b4a32bc46746179230","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-01-14T21:04:42Z","title_canon_sha256":"a524e17de7cce53dc062c435968fd2c33d72d9b1a2e90e9c468b20ccbc59510d"},"schema_version":"1.0","source":{"id":"1001.2561","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.2561","created_at":"2026-05-18T02:33:49Z"},{"alias_kind":"arxiv_version","alias_value":"1001.2561v1","created_at":"2026-05-18T02:33:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.2561","created_at":"2026-05-18T02:33:49Z"},{"alias_kind":"pith_short_12","alias_value":"VI465OT454KS","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"VI465OT454KS5QDU","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"VI465OT4","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:0b009664d06f7490ce4c0cda69c6e2aa004bd1e07ead1aceedd09b1e8e6a7ca9","target":"graph","created_at":"2026-05-18T02:33:49Z","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 write down the renormalization-group equations for the Yukawa-coupling matrices in a general multi-Higgs-doublet model. We then assume that the matrices of the Yukawa couplings of the various Higgs doublets to right-handed fermions of fixed quantum numbers are all proportional to each other. We demonstrate that, in the case of the two-Higgs-doublet model, this proportionality is preserved by the renormalization-group running only in the cases of the standard type-I, II, X, and Y models. We furthermore show that a similar result holds even when there are more than two Higgs doublets: the Yuk","authors_text":"Joao P. Silva, L. Lavoura, P.M. Ferreira","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-01-14T21:04:42Z","title":"Renormalization-group constraints on Yukawa alignment in multi-Higgs-doublet models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.2561","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":"sha256:481e8c1b26892b711516784f9efebff871add52061b467521f6f2c2520f65a09","target":"record","created_at":"2026-05-18T02:33:49Z","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":"9292ee88dd3311f3623e45a62a1032d1fcdecb0bf8c572b4a32bc46746179230","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-01-14T21:04:42Z","title_canon_sha256":"a524e17de7cce53dc062c435968fd2c33d72d9b1a2e90e9c468b20ccbc59510d"},"schema_version":"1.0","source":{"id":"1001.2561","kind":"arxiv","version":1}},"canonical_sha256":"aa39eeba7cef152ec074f8f39bd87b7bef59b5ae2ae333d6d228d1eed29bc094","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aa39eeba7cef152ec074f8f39bd87b7bef59b5ae2ae333d6d228d1eed29bc094","first_computed_at":"2026-05-18T02:33:49.723838Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:49.723838Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WmA1awwtIpy+dctAMrugapIVmoPQmzRaONNOAcCSG0GCXWaLNy6OIh9ZjileWbc/5/AWauCBhXhlzAVu1yovAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:49.724346Z","signed_message":"canonical_sha256_bytes"},"source_id":"1001.2561","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:481e8c1b26892b711516784f9efebff871add52061b467521f6f2c2520f65a09","sha256:0b009664d06f7490ce4c0cda69c6e2aa004bd1e07ead1aceedd09b1e8e6a7ca9"],"state_sha256":"db8199282d01c41ff10da5363a5c00ab9469149f3df9c228e806743a92f3de04"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3tdRbu5aqG02aa8VTrox4NhbNfT0P/ZRLiFqwL1+6UxzDMEIW1eM+wWpRf9K+v3pYTwwc0MvpGIFdHslnMb7Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T00:10:28.306443Z","bundle_sha256":"ea978c2f80a5b26e2ca06ac3043798dab314aa7f6dab04eabcbe2a692fa83491"}}