{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:SKIHHZY53BZMCNKZUXW2XTBWX4","short_pith_number":"pith:SKIHHZY5","canonical_record":{"source":{"id":"1203.0409","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-03-02T10:26:28Z","cross_cats_sorted":[],"title_canon_sha256":"3ce5c924312e4710eb9756b45f56ed4356f6eb8d8ec3c044ddb47bfcbba61ba9","abstract_canon_sha256":"d62d853df869d389584ba3baea82427804aebe8534414ca9289d88dda9901e99"},"schema_version":"1.0"},"canonical_sha256":"929073e71dd872c13559a5edabcc36bf290506bd5cf2ae20cfa745c1d7fa418d","source":{"kind":"arxiv","id":"1203.0409","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.0409","created_at":"2026-05-18T04:01:00Z"},{"alias_kind":"arxiv_version","alias_value":"1203.0409v1","created_at":"2026-05-18T04:01:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.0409","created_at":"2026-05-18T04:01:00Z"},{"alias_kind":"pith_short_12","alias_value":"SKIHHZY53BZM","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"SKIHHZY53BZMCNKZ","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"SKIHHZY5","created_at":"2026-05-18T12:27:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:SKIHHZY53BZMCNKZUXW2XTBWX4","target":"record","payload":{"canonical_record":{"source":{"id":"1203.0409","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-03-02T10:26:28Z","cross_cats_sorted":[],"title_canon_sha256":"3ce5c924312e4710eb9756b45f56ed4356f6eb8d8ec3c044ddb47bfcbba61ba9","abstract_canon_sha256":"d62d853df869d389584ba3baea82427804aebe8534414ca9289d88dda9901e99"},"schema_version":"1.0"},"canonical_sha256":"929073e71dd872c13559a5edabcc36bf290506bd5cf2ae20cfa745c1d7fa418d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:01:00.890970Z","signature_b64":"/2TTMges/clvMqpa/aU22VghVsTXJGEy06IprMjNdDsmnYFK0XPIU2YPcAzrD9pah+x6kjubNh/uIKt1FMU6Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"929073e71dd872c13559a5edabcc36bf290506bd5cf2ae20cfa745c1d7fa418d","last_reissued_at":"2026-05-18T04:01:00.890405Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:01:00.890405Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1203.0409","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":"2026-05-18T04:01:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XEc33/Vx0lkaskRqSbQph0fKaJrBgf2lfbAS5NWHdzAwVqxlQAH6J+5OMcVql7X9Gs7vNpY91Xy4+EfQZ9RCBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T21:10:44.159344Z"},"content_sha256":"51a62090a78f9ff923022cddf808e0896741ef49580d00e4bce02ca5216c0fb6","schema_version":"1.0","event_id":"sha256:51a62090a78f9ff923022cddf808e0896741ef49580d00e4bce02ca5216c0fb6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:SKIHHZY53BZMCNKZUXW2XTBWX4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Minimizing Higgs Potentials via Numerical Polynomial Homotopy Continuation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Dhagash Mehta, Markos Maniatis","submitted_at":"2012-03-02T10:26:28Z","abstract_excerpt":"The study of models with extended Higgs sectors requires to minimize the corresponding Higgs potentials, which is in general very difficult. Here, we apply a recently developed method, called numerical polynomial homotopy continuation (NPHC), which guarantees to find all the stationary points of the Higgs potentials with polynomial-like nonlinearity. The detection of all stationary points reveals the structure of the potential with maxima, metastable minima, saddle points besides the global minimum. We apply the NPHC method to the most general Higgs potential having two complex Higgs-boson dou"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.0409","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":"2026-05-18T04:01:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kQVE28p81J7Ko84rf7nl6df+vXCHwDGJ/WtAevw+PxET5rYM0ux4YBhKp/JQF8k9Bh9BQQ6WZM/hbqee/UOlDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T21:10:44.159693Z"},"content_sha256":"327401749c2a54eaf4ec5284db76f0ed92a8e0bb9973b7cef906ff64a7981ac7","schema_version":"1.0","event_id":"sha256:327401749c2a54eaf4ec5284db76f0ed92a8e0bb9973b7cef906ff64a7981ac7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SKIHHZY53BZMCNKZUXW2XTBWX4/bundle.json","state_url":"https://pith.science/pith/SKIHHZY53BZMCNKZUXW2XTBWX4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SKIHHZY53BZMCNKZUXW2XTBWX4/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":"2026-06-03T21:10:44Z","links":{"resolver":"https://pith.science/pith/SKIHHZY53BZMCNKZUXW2XTBWX4","bundle":"https://pith.science/pith/SKIHHZY53BZMCNKZUXW2XTBWX4/bundle.json","state":"https://pith.science/pith/SKIHHZY53BZMCNKZUXW2XTBWX4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SKIHHZY53BZMCNKZUXW2XTBWX4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:SKIHHZY53BZMCNKZUXW2XTBWX4","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":"d62d853df869d389584ba3baea82427804aebe8534414ca9289d88dda9901e99","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-03-02T10:26:28Z","title_canon_sha256":"3ce5c924312e4710eb9756b45f56ed4356f6eb8d8ec3c044ddb47bfcbba61ba9"},"schema_version":"1.0","source":{"id":"1203.0409","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.0409","created_at":"2026-05-18T04:01:00Z"},{"alias_kind":"arxiv_version","alias_value":"1203.0409v1","created_at":"2026-05-18T04:01:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.0409","created_at":"2026-05-18T04:01:00Z"},{"alias_kind":"pith_short_12","alias_value":"SKIHHZY53BZM","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"SKIHHZY53BZMCNKZ","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"SKIHHZY5","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:327401749c2a54eaf4ec5284db76f0ed92a8e0bb9973b7cef906ff64a7981ac7","target":"graph","created_at":"2026-05-18T04:01:00Z","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":"The study of models with extended Higgs sectors requires to minimize the corresponding Higgs potentials, which is in general very difficult. Here, we apply a recently developed method, called numerical polynomial homotopy continuation (NPHC), which guarantees to find all the stationary points of the Higgs potentials with polynomial-like nonlinearity. The detection of all stationary points reveals the structure of the potential with maxima, metastable minima, saddle points besides the global minimum. We apply the NPHC method to the most general Higgs potential having two complex Higgs-boson dou","authors_text":"Dhagash Mehta, Markos Maniatis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-03-02T10:26:28Z","title":"Minimizing Higgs Potentials via Numerical Polynomial Homotopy Continuation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.0409","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":"sha256:51a62090a78f9ff923022cddf808e0896741ef49580d00e4bce02ca5216c0fb6","target":"record","created_at":"2026-05-18T04:01:00Z","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":"d62d853df869d389584ba3baea82427804aebe8534414ca9289d88dda9901e99","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-03-02T10:26:28Z","title_canon_sha256":"3ce5c924312e4710eb9756b45f56ed4356f6eb8d8ec3c044ddb47bfcbba61ba9"},"schema_version":"1.0","source":{"id":"1203.0409","kind":"arxiv","version":1}},"canonical_sha256":"929073e71dd872c13559a5edabcc36bf290506bd5cf2ae20cfa745c1d7fa418d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"929073e71dd872c13559a5edabcc36bf290506bd5cf2ae20cfa745c1d7fa418d","first_computed_at":"2026-05-18T04:01:00.890405Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:01:00.890405Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/2TTMges/clvMqpa/aU22VghVsTXJGEy06IprMjNdDsmnYFK0XPIU2YPcAzrD9pah+x6kjubNh/uIKt1FMU6Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:01:00.890970Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.0409","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:51a62090a78f9ff923022cddf808e0896741ef49580d00e4bce02ca5216c0fb6","sha256:327401749c2a54eaf4ec5284db76f0ed92a8e0bb9973b7cef906ff64a7981ac7"],"state_sha256":"d8c7e0fd8cf5f669ac3b7d1ce10f18d3eb73d51e00d663e481906dbefbc758ff"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EqW7jyIQ5JV9lMQ/B2SAuY/nggIgk6jE+4bsxDDOyuUzY2IEnEIH2IhnRrvMZlN2xVRbdVny/OC6HcdVaip8Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T21:10:44.161626Z","bundle_sha256":"cf8423fccd6dfdb1f591aafac486d4e7c932e149d5bfaa6666522eb3ce6456be"}}