{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:FNMKXEYKP2VTEUIZ2MFSVVB3XL","short_pith_number":"pith:FNMKXEYK","canonical_record":{"source":{"id":"2208.01068","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-08-01T18:09:49Z","cross_cats_sorted":[],"title_canon_sha256":"964a4e56fc55548aa119d5234d54d7782213700d28b75fb1d08f3dd70efdb49b","abstract_canon_sha256":"937c9ee6b178418c64d359001e7bd08f18435187f3655245a57ddcfea8254615"},"schema_version":"1.0"},"canonical_sha256":"2b58ab930a7eab325119d30b2ad43bbacebc18bfaa88a19d8ebe0c2f506fba6d","source":{"kind":"arxiv","id":"2208.01068","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2208.01068","created_at":"2026-07-05T05:28:25Z"},{"alias_kind":"arxiv_version","alias_value":"2208.01068v1","created_at":"2026-07-05T05:28:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.01068","created_at":"2026-07-05T05:28:25Z"},{"alias_kind":"pith_short_12","alias_value":"FNMKXEYKP2VT","created_at":"2026-07-05T05:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"FNMKXEYKP2VTEUIZ","created_at":"2026-07-05T05:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"FNMKXEYK","created_at":"2026-07-05T05:28:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:FNMKXEYKP2VTEUIZ2MFSVVB3XL","target":"record","payload":{"canonical_record":{"source":{"id":"2208.01068","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-08-01T18:09:49Z","cross_cats_sorted":[],"title_canon_sha256":"964a4e56fc55548aa119d5234d54d7782213700d28b75fb1d08f3dd70efdb49b","abstract_canon_sha256":"937c9ee6b178418c64d359001e7bd08f18435187f3655245a57ddcfea8254615"},"schema_version":"1.0"},"canonical_sha256":"2b58ab930a7eab325119d30b2ad43bbacebc18bfaa88a19d8ebe0c2f506fba6d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:28:25.739526Z","signature_b64":"hpdurakWeyTlUMegYr20KncGF5LWLrVytjFsXNsW8pJwybYR/PQwgE7coSELeOHXn6/8P/DV6rh8NlXpJ9+5Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2b58ab930a7eab325119d30b2ad43bbacebc18bfaa88a19d8ebe0c2f506fba6d","last_reissued_at":"2026-07-05T05:28:25.739001Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:28:25.739001Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2208.01068","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":"2026-07-05T05:28:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q60ef7IXOiHjYlv7/CZTNdsxPauRE9sNJi0o+MV7/nRLi3DHYxWxUZBPZ43s+3UyULf3MGkRUZ43C/aNz7kTDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T00:43:45.736376Z"},"content_sha256":"4e70242a5a8a23c7fce46eab581f66465fa12482cbc70b02fcac5dfbf1ab6a0d","schema_version":"1.0","event_id":"sha256:4e70242a5a8a23c7fce46eab581f66465fa12482cbc70b02fcac5dfbf1ab6a0d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:FNMKXEYKP2VTEUIZ2MFSVVB3XL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"BFB conditions on a class of symmetry constrained 3HDM","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Jo\\~ao P. Silva, Jorge C. Rom\\~ao, Rafael Boto","submitted_at":"2022-08-01T18:09:49Z","abstract_excerpt":"We study the bounded from below (BFB) conditions on a class of three Higgs doublet models (3HDM) constrained by the symmetry groups U(1)xU(1), U(1)xZ2 and Z2xZ2. These constraints must be implemented on both the neutral (BFB-n) and charged (BFB-c) directions. The exact necessary and sufficient BFB conditions are unknown in the Z2xZ2 case. We develop a general strategy using lower bounds to find sufficient conditions for BFB-n and BFB-c and apply it to these symmetries. In addition, we investigate the concern that the use of safe sufficient conditions can ignore valid points which would yield d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.01068","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/2208.01068/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":"2026-07-05T05:28:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+xQlCustje1PuvizeBNXD2TP0t0yGlKb2H0oYCGXFwWDXsC1esSXlznyqaMCERtv50F0qVlHEEBdKWj3eJXVCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T00:43:45.736899Z"},"content_sha256":"ca21722759e364656f154e2cfb53c4757c8b9ddc11c837a910051b8e49140e43","schema_version":"1.0","event_id":"sha256:ca21722759e364656f154e2cfb53c4757c8b9ddc11c837a910051b8e49140e43"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FNMKXEYKP2VTEUIZ2MFSVVB3XL/bundle.json","state_url":"https://pith.science/pith/FNMKXEYKP2VTEUIZ2MFSVVB3XL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FNMKXEYKP2VTEUIZ2MFSVVB3XL/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":"2026-08-06T00:43:45Z","links":{"resolver":"https://pith.science/pith/FNMKXEYKP2VTEUIZ2MFSVVB3XL","bundle":"https://pith.science/pith/FNMKXEYKP2VTEUIZ2MFSVVB3XL/bundle.json","state":"https://pith.science/pith/FNMKXEYKP2VTEUIZ2MFSVVB3XL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FNMKXEYKP2VTEUIZ2MFSVVB3XL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:FNMKXEYKP2VTEUIZ2MFSVVB3XL","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":"937c9ee6b178418c64d359001e7bd08f18435187f3655245a57ddcfea8254615","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-08-01T18:09:49Z","title_canon_sha256":"964a4e56fc55548aa119d5234d54d7782213700d28b75fb1d08f3dd70efdb49b"},"schema_version":"1.0","source":{"id":"2208.01068","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2208.01068","created_at":"2026-07-05T05:28:25Z"},{"alias_kind":"arxiv_version","alias_value":"2208.01068v1","created_at":"2026-07-05T05:28:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.01068","created_at":"2026-07-05T05:28:25Z"},{"alias_kind":"pith_short_12","alias_value":"FNMKXEYKP2VT","created_at":"2026-07-05T05:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"FNMKXEYKP2VTEUIZ","created_at":"2026-07-05T05:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"FNMKXEYK","created_at":"2026-07-05T05:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:ca21722759e364656f154e2cfb53c4757c8b9ddc11c837a910051b8e49140e43","target":"graph","created_at":"2026-07-05T05:28:25Z","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/2208.01068/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the bounded from below (BFB) conditions on a class of three Higgs doublet models (3HDM) constrained by the symmetry groups U(1)xU(1), U(1)xZ2 and Z2xZ2. These constraints must be implemented on both the neutral (BFB-n) and charged (BFB-c) directions. The exact necessary and sufficient BFB conditions are unknown in the Z2xZ2 case. We develop a general strategy using lower bounds to find sufficient conditions for BFB-n and BFB-c and apply it to these symmetries. In addition, we investigate the concern that the use of safe sufficient conditions can ignore valid points which would yield d","authors_text":"Jo\\~ao P. Silva, Jorge C. Rom\\~ao, Rafael Boto","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-08-01T18:09:49Z","title":"BFB conditions on a class of symmetry constrained 3HDM"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.01068","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":"sha256:4e70242a5a8a23c7fce46eab581f66465fa12482cbc70b02fcac5dfbf1ab6a0d","target":"record","created_at":"2026-07-05T05:28:25Z","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":"937c9ee6b178418c64d359001e7bd08f18435187f3655245a57ddcfea8254615","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-08-01T18:09:49Z","title_canon_sha256":"964a4e56fc55548aa119d5234d54d7782213700d28b75fb1d08f3dd70efdb49b"},"schema_version":"1.0","source":{"id":"2208.01068","kind":"arxiv","version":1}},"canonical_sha256":"2b58ab930a7eab325119d30b2ad43bbacebc18bfaa88a19d8ebe0c2f506fba6d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2b58ab930a7eab325119d30b2ad43bbacebc18bfaa88a19d8ebe0c2f506fba6d","first_computed_at":"2026-07-05T05:28:25.739001Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:28:25.739001Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hpdurakWeyTlUMegYr20KncGF5LWLrVytjFsXNsW8pJwybYR/PQwgE7coSELeOHXn6/8P/DV6rh8NlXpJ9+5Dg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:28:25.739526Z","signed_message":"canonical_sha256_bytes"},"source_id":"2208.01068","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4e70242a5a8a23c7fce46eab581f66465fa12482cbc70b02fcac5dfbf1ab6a0d","sha256:ca21722759e364656f154e2cfb53c4757c8b9ddc11c837a910051b8e49140e43"],"state_sha256":"d6eb391fc04c0d56addd52275a26ca568ac5292fb049c36c3ffb7be4e180a351"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zf+XPNVH0/ZINkG3wa/EcLy77i8Ekf4R4cdh+OEjhE2wjH3c3ww8reI2FD+RFcKjujbtcaDOV097dWZqu1Q4Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T00:43:45.740226Z","bundle_sha256":"28d98b492568c157c8403b2d52ccfba3e4414a27bb4b30216162d29b7da6f5ec"}}