{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:HT5MA4PPJHCYKMN76EXXF7W24L","short_pith_number":"pith:HT5MA4PP","canonical_record":{"source":{"id":"1808.06096","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-08-18T16:07:07Z","cross_cats_sorted":[],"title_canon_sha256":"ed0d9ff0f811492489ea44a0c6ff07463e52af24baaa4ef78e104fe49f66a460","abstract_canon_sha256":"d58d3ccc623358b32ddc9c773cd8ab036193334b4d521ec4e2db20ce9d0714c2"},"schema_version":"1.0"},"canonical_sha256":"3cfac071ef49c58531bff12f72fedae2d661ee2894bddf7321a048e61ab37af1","source":{"kind":"arxiv","id":"1808.06096","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.06096","created_at":"2026-05-18T00:07:46Z"},{"alias_kind":"arxiv_version","alias_value":"1808.06096v1","created_at":"2026-05-18T00:07:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.06096","created_at":"2026-05-18T00:07:46Z"},{"alias_kind":"pith_short_12","alias_value":"HT5MA4PPJHCY","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"HT5MA4PPJHCYKMN7","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"HT5MA4PP","created_at":"2026-05-18T12:32:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:HT5MA4PPJHCYKMN76EXXF7W24L","target":"record","payload":{"canonical_record":{"source":{"id":"1808.06096","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-08-18T16:07:07Z","cross_cats_sorted":[],"title_canon_sha256":"ed0d9ff0f811492489ea44a0c6ff07463e52af24baaa4ef78e104fe49f66a460","abstract_canon_sha256":"d58d3ccc623358b32ddc9c773cd8ab036193334b4d521ec4e2db20ce9d0714c2"},"schema_version":"1.0"},"canonical_sha256":"3cfac071ef49c58531bff12f72fedae2d661ee2894bddf7321a048e61ab37af1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:07:46.121840Z","signature_b64":"7D9+G7jFPDBC4tdhgZ/VLx54wMCn1kxkZhNyAh3oig0vAIHuCq986V4Q88/hDvyp4o3NFiK7zstQU22FbPxeAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3cfac071ef49c58531bff12f72fedae2d661ee2894bddf7321a048e61ab37af1","last_reissued_at":"2026-05-18T00:07:46.121147Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:07:46.121147Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1808.06096","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":"2026-05-18T00:07:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u71PTRnZrlMjX/tfm1gT+KhiXIwCdNDrsPO0v6DRYsQh1arbOYcMBBW+d7Kt+hlVZeuzm9X9qo7WI9SbKDpBBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T21:20:20.648060Z"},"content_sha256":"0d28916042f2bec2dd83a904929cb44985ad01ef40d0ac8980d28ab23c71e13e","schema_version":"1.0","event_id":"sha256:0d28916042f2bec2dd83a904929cb44985ad01ef40d0ac8980d28ab23c71e13e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:HT5MA4PPJHCYKMN76EXXF7W24L","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Minima of multi-Higgs potentials with triplets of $\\Delta(3n^2)$ and $\\Delta(6n^2)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Ivo de Medeiros Varzielas","submitted_at":"2018-08-18T16:07:07Z","abstract_excerpt":"I present a list of minima for 3 Higgs doublet models and 6 Higgs doublet models that are invariant under the discrete symmetries $\\Delta(3n^2)$ and $\\Delta(6n^2)$. I use the invariant approach formalism on the scalar sector and, with relevant Spontaneous CP-odd invariants, determine if the minima lead to Spontaneous CP violation. I identify in which cases the VEVs have calculable phases, finding several new cases of Spontaneous Geometrical CP Violation, including the first cases for 6 Higgs doublet models."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.06096","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":"2026-05-18T00:07:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ijcR6KM6kQjDSq/ETWUQgcHDFevcHvG+rzubUSYB7uBpgrx4t3/v/PxIQnUHEZn25SilcEd36/EQ4JhA9mnQAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T21:20:20.648874Z"},"content_sha256":"1a895a28339d690816b1c0fb2396d4b212a05b151f13f4da6c9d29f984c3e3b0","schema_version":"1.0","event_id":"sha256:1a895a28339d690816b1c0fb2396d4b212a05b151f13f4da6c9d29f984c3e3b0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HT5MA4PPJHCYKMN76EXXF7W24L/bundle.json","state_url":"https://pith.science/pith/HT5MA4PPJHCYKMN76EXXF7W24L/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HT5MA4PPJHCYKMN76EXXF7W24L/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":"2026-05-31T21:20:20Z","links":{"resolver":"https://pith.science/pith/HT5MA4PPJHCYKMN76EXXF7W24L","bundle":"https://pith.science/pith/HT5MA4PPJHCYKMN76EXXF7W24L/bundle.json","state":"https://pith.science/pith/HT5MA4PPJHCYKMN76EXXF7W24L/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HT5MA4PPJHCYKMN76EXXF7W24L/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:HT5MA4PPJHCYKMN76EXXF7W24L","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":"d58d3ccc623358b32ddc9c773cd8ab036193334b4d521ec4e2db20ce9d0714c2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-08-18T16:07:07Z","title_canon_sha256":"ed0d9ff0f811492489ea44a0c6ff07463e52af24baaa4ef78e104fe49f66a460"},"schema_version":"1.0","source":{"id":"1808.06096","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.06096","created_at":"2026-05-18T00:07:46Z"},{"alias_kind":"arxiv_version","alias_value":"1808.06096v1","created_at":"2026-05-18T00:07:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.06096","created_at":"2026-05-18T00:07:46Z"},{"alias_kind":"pith_short_12","alias_value":"HT5MA4PPJHCY","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"HT5MA4PPJHCYKMN7","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"HT5MA4PP","created_at":"2026-05-18T12:32:28Z"}],"graph_snapshots":[{"event_id":"sha256:1a895a28339d690816b1c0fb2396d4b212a05b151f13f4da6c9d29f984c3e3b0","target":"graph","created_at":"2026-05-18T00:07:46Z","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":"I present a list of minima for 3 Higgs doublet models and 6 Higgs doublet models that are invariant under the discrete symmetries $\\Delta(3n^2)$ and $\\Delta(6n^2)$. I use the invariant approach formalism on the scalar sector and, with relevant Spontaneous CP-odd invariants, determine if the minima lead to Spontaneous CP violation. I identify in which cases the VEVs have calculable phases, finding several new cases of Spontaneous Geometrical CP Violation, including the first cases for 6 Higgs doublet models.","authors_text":"Ivo de Medeiros Varzielas","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-08-18T16:07:07Z","title":"Minima of multi-Higgs potentials with triplets of $\\Delta(3n^2)$ and $\\Delta(6n^2)$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.06096","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":"sha256:0d28916042f2bec2dd83a904929cb44985ad01ef40d0ac8980d28ab23c71e13e","target":"record","created_at":"2026-05-18T00:07:46Z","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":"d58d3ccc623358b32ddc9c773cd8ab036193334b4d521ec4e2db20ce9d0714c2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-08-18T16:07:07Z","title_canon_sha256":"ed0d9ff0f811492489ea44a0c6ff07463e52af24baaa4ef78e104fe49f66a460"},"schema_version":"1.0","source":{"id":"1808.06096","kind":"arxiv","version":1}},"canonical_sha256":"3cfac071ef49c58531bff12f72fedae2d661ee2894bddf7321a048e61ab37af1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3cfac071ef49c58531bff12f72fedae2d661ee2894bddf7321a048e61ab37af1","first_computed_at":"2026-05-18T00:07:46.121147Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:07:46.121147Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7D9+G7jFPDBC4tdhgZ/VLx54wMCn1kxkZhNyAh3oig0vAIHuCq986V4Q88/hDvyp4o3NFiK7zstQU22FbPxeAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:07:46.121840Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.06096","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0d28916042f2bec2dd83a904929cb44985ad01ef40d0ac8980d28ab23c71e13e","sha256:1a895a28339d690816b1c0fb2396d4b212a05b151f13f4da6c9d29f984c3e3b0"],"state_sha256":"7321d55d7f0fb85c1af46803c5da1c9fc42d06a0266f76b04208ab513ffb2850"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mZeUyYtU8APhzJXINtVE9e3WeDrSZNvby2y/8Crtw5QzgSlqV61lt3kohV8oNAG1d4HOO+BMRnvOeyUg7ZbUDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T21:20:20.653553Z","bundle_sha256":"5d1b7ce07ffafdc19dd3f68ae33fcfb02d5d5abcc18c76a7794925d3a804d4cb"}}