{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:PIVYHN3AIZ5I5RMJWFVXW47Y4X","short_pith_number":"pith:PIVYHN3A","canonical_record":{"source":{"id":"1808.08384","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2018-08-25T09:13:04Z","cross_cats_sorted":[],"title_canon_sha256":"1a0b50c940ed262315028a9f7e02ac7207a32dc67b095d357ad1a203fbf45b4d","abstract_canon_sha256":"4d424c737505200377cb97bd7e8bcfedd4db2956fb5cd95f15e5e2fc09b02cc2"},"schema_version":"1.0"},"canonical_sha256":"7a2b83b760467a8ec589b16b7b73f8e5cda4ab39959644ab2cba13e8e3852f49","source":{"kind":"arxiv","id":"1808.08384","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.08384","created_at":"2026-05-18T00:06:00Z"},{"alias_kind":"arxiv_version","alias_value":"1808.08384v1","created_at":"2026-05-18T00:06:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.08384","created_at":"2026-05-18T00:06:00Z"},{"alias_kind":"pith_short_12","alias_value":"PIVYHN3AIZ5I","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"PIVYHN3AIZ5I5RMJ","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"PIVYHN3A","created_at":"2026-05-18T12:32:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:PIVYHN3AIZ5I5RMJWFVXW47Y4X","target":"record","payload":{"canonical_record":{"source":{"id":"1808.08384","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2018-08-25T09:13:04Z","cross_cats_sorted":[],"title_canon_sha256":"1a0b50c940ed262315028a9f7e02ac7207a32dc67b095d357ad1a203fbf45b4d","abstract_canon_sha256":"4d424c737505200377cb97bd7e8bcfedd4db2956fb5cd95f15e5e2fc09b02cc2"},"schema_version":"1.0"},"canonical_sha256":"7a2b83b760467a8ec589b16b7b73f8e5cda4ab39959644ab2cba13e8e3852f49","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:06:00.987414Z","signature_b64":"5urgNLXoE/+y0eWYFjaQdMeCFD11/CKklUcO6aCsOC/S+g11mC2s7uckl0tEFv2MKXqKdcikXzpsfdiiaH30Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7a2b83b760467a8ec589b16b7b73f8e5cda4ab39959644ab2cba13e8e3852f49","last_reissued_at":"2026-05-18T00:06:00.986871Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:06:00.986871Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1808.08384","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":"2026-05-18T00:06:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6HEUTzZ0j+psj21SovB1bIq5SmFDmCkLiHgBDLqOxk03pK9n1Gkr7O0fslhNaCH824/ndUnP/M9gsbZvdloEDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T06:10:23.443468Z"},"content_sha256":"2a0d3dd28e5e040a66fbe83bdaa7652bf2bf83c5190228b8ff60713542834764","schema_version":"1.0","event_id":"sha256:2a0d3dd28e5e040a66fbe83bdaa7652bf2bf83c5190228b8ff60713542834764"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:PIVYHN3AIZ5I5RMJWFVXW47Y4X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lepton masses and mixing in a two-Higgs-doublet model","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Bartosz Dziewit, Jacek Holeczek, Marek Zra{\\l}ek, Monika Richter, Piotr Chaber, Sebastian Zaj\\k{a}c","submitted_at":"2018-08-25T09:13:04Z","abstract_excerpt":"Within the framework of the two-Higgs Doublet Model (2HDM), we attempt to find some discrete, non-abelian flavour symmetry which could provide an explanation for the masses and mixing matrix elements of leptons. Unlike the Standard Model, currently there is no need for the flavour symmetry to be broken. With the GAP program we investigate all finite subgroups of the U3 group up to the order of 1025. Up to such an order there is no group for which it is possible to select free model parameters in order to match the masses of charged leptons, masses of neutrinos, and the Pontecorvo-Maki-Nakagawa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.08384","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":"2026-05-18T00:06:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QmHxl4M4HIvolfvdOmEMy21r5qJ6vcHfvXgDwxciOESxCX9Sl2eJth3kPtxbhgt0advVAnWRvmJJSPpARdIXBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T06:10:23.444111Z"},"content_sha256":"b40a6e84fd528a187d18646c29ba1cf58cbc4b10cde4f04b75e88fd6fc697b39","schema_version":"1.0","event_id":"sha256:b40a6e84fd528a187d18646c29ba1cf58cbc4b10cde4f04b75e88fd6fc697b39"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PIVYHN3AIZ5I5RMJWFVXW47Y4X/bundle.json","state_url":"https://pith.science/pith/PIVYHN3AIZ5I5RMJWFVXW47Y4X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PIVYHN3AIZ5I5RMJWFVXW47Y4X/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":"2026-06-04T06:10:23Z","links":{"resolver":"https://pith.science/pith/PIVYHN3AIZ5I5RMJWFVXW47Y4X","bundle":"https://pith.science/pith/PIVYHN3AIZ5I5RMJWFVXW47Y4X/bundle.json","state":"https://pith.science/pith/PIVYHN3AIZ5I5RMJWFVXW47Y4X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PIVYHN3AIZ5I5RMJWFVXW47Y4X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:PIVYHN3AIZ5I5RMJWFVXW47Y4X","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":"4d424c737505200377cb97bd7e8bcfedd4db2956fb5cd95f15e5e2fc09b02cc2","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2018-08-25T09:13:04Z","title_canon_sha256":"1a0b50c940ed262315028a9f7e02ac7207a32dc67b095d357ad1a203fbf45b4d"},"schema_version":"1.0","source":{"id":"1808.08384","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.08384","created_at":"2026-05-18T00:06:00Z"},{"alias_kind":"arxiv_version","alias_value":"1808.08384v1","created_at":"2026-05-18T00:06:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.08384","created_at":"2026-05-18T00:06:00Z"},{"alias_kind":"pith_short_12","alias_value":"PIVYHN3AIZ5I","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"PIVYHN3AIZ5I5RMJ","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"PIVYHN3A","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:b40a6e84fd528a187d18646c29ba1cf58cbc4b10cde4f04b75e88fd6fc697b39","target":"graph","created_at":"2026-05-18T00:06:00Z","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":"Within the framework of the two-Higgs Doublet Model (2HDM), we attempt to find some discrete, non-abelian flavour symmetry which could provide an explanation for the masses and mixing matrix elements of leptons. Unlike the Standard Model, currently there is no need for the flavour symmetry to be broken. With the GAP program we investigate all finite subgroups of the U3 group up to the order of 1025. Up to such an order there is no group for which it is possible to select free model parameters in order to match the masses of charged leptons, masses of neutrinos, and the Pontecorvo-Maki-Nakagawa","authors_text":"Bartosz Dziewit, Jacek Holeczek, Marek Zra{\\l}ek, Monika Richter, Piotr Chaber, Sebastian Zaj\\k{a}c","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2018-08-25T09:13:04Z","title":"Lepton masses and mixing in a two-Higgs-doublet model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.08384","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":"sha256:2a0d3dd28e5e040a66fbe83bdaa7652bf2bf83c5190228b8ff60713542834764","target":"record","created_at":"2026-05-18T00:06:00Z","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":"4d424c737505200377cb97bd7e8bcfedd4db2956fb5cd95f15e5e2fc09b02cc2","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2018-08-25T09:13:04Z","title_canon_sha256":"1a0b50c940ed262315028a9f7e02ac7207a32dc67b095d357ad1a203fbf45b4d"},"schema_version":"1.0","source":{"id":"1808.08384","kind":"arxiv","version":1}},"canonical_sha256":"7a2b83b760467a8ec589b16b7b73f8e5cda4ab39959644ab2cba13e8e3852f49","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7a2b83b760467a8ec589b16b7b73f8e5cda4ab39959644ab2cba13e8e3852f49","first_computed_at":"2026-05-18T00:06:00.986871Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:06:00.986871Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5urgNLXoE/+y0eWYFjaQdMeCFD11/CKklUcO6aCsOC/S+g11mC2s7uckl0tEFv2MKXqKdcikXzpsfdiiaH30Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:06:00.987414Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.08384","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2a0d3dd28e5e040a66fbe83bdaa7652bf2bf83c5190228b8ff60713542834764","sha256:b40a6e84fd528a187d18646c29ba1cf58cbc4b10cde4f04b75e88fd6fc697b39"],"state_sha256":"a40e9af764cb7a2c4f1155c7d9a87d03923bae866931e564f607df065a1bdcc4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W/KwRCs55rMk0poHxNSOj7tcc5709SoH83lS2drz2GXvPz5Oe9EnC/S8Cx9XnylFd4IYj+RrVtsMtlksq7tWDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T06:10:23.447190Z","bundle_sha256":"202b6484b17b233e0a26cabd12fe8a95e09ce71a0a9717de5ad33119c33b2b46"}}