{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:V4VWZLGBQQSY5NACFY7R75XXZU","short_pith_number":"pith:V4VWZLGB","canonical_record":{"source":{"id":"1510.06069","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-10-20T21:34:10Z","cross_cats_sorted":[],"title_canon_sha256":"eb55abf21526889462febbd308844eef7bf6662ee70eda8ec9cb53fa8a20f089","abstract_canon_sha256":"8eb7b26c696626cb4ab38e7e786d3fa7e358de9246c8fee2f547485c2556bcb4"},"schema_version":"1.0"},"canonical_sha256":"af2b6cacc184258eb4022e3f1ff6f7cd347a1d2a6a273359cc07a6988b011fff","source":{"kind":"arxiv","id":"1510.06069","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.06069","created_at":"2026-05-18T01:20:33Z"},{"alias_kind":"arxiv_version","alias_value":"1510.06069v2","created_at":"2026-05-18T01:20:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.06069","created_at":"2026-05-18T01:20:33Z"},{"alias_kind":"pith_short_12","alias_value":"V4VWZLGBQQSY","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"V4VWZLGBQQSY5NAC","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"V4VWZLGB","created_at":"2026-05-18T12:29:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:V4VWZLGBQQSY5NACFY7R75XXZU","target":"record","payload":{"canonical_record":{"source":{"id":"1510.06069","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-10-20T21:34:10Z","cross_cats_sorted":[],"title_canon_sha256":"eb55abf21526889462febbd308844eef7bf6662ee70eda8ec9cb53fa8a20f089","abstract_canon_sha256":"8eb7b26c696626cb4ab38e7e786d3fa7e358de9246c8fee2f547485c2556bcb4"},"schema_version":"1.0"},"canonical_sha256":"af2b6cacc184258eb4022e3f1ff6f7cd347a1d2a6a273359cc07a6988b011fff","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:33.637398Z","signature_b64":"l87XM5G/9WOAAgyM3xv3+C0VUjr4AkYk07Ye6aAFUTCZROFzgrdOOZvJtJYT0UB9DTGSLU7hiHcu4sSVIxvOCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"af2b6cacc184258eb4022e3f1ff6f7cd347a1d2a6a273359cc07a6988b011fff","last_reissued_at":"2026-05-18T01:20:33.636946Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:33.636946Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.06069","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:20:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/kpE/gkHtM28MNWyMoZ9mYd0WDsSx13GZoHTE5Atl8RpFVVOysjkEOWtoigTifyzHkxsOZsQzTWaxmJHBtIIBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T05:47:46.109191Z"},"content_sha256":"0881a66b5ba45db983c0a2e63d6f7ef1dfaeb4221394e323e2b614024ca74184","schema_version":"1.0","event_id":"sha256:0881a66b5ba45db983c0a2e63d6f7ef1dfaeb4221394e323e2b614024ca74184"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:V4VWZLGBQQSY5NACFY7R75XXZU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The spontaneous $\\mathbb{Z}_2$ breaking Twin Higgs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Hugues Beauchesne, Kevin Earl, Thomas Gr\\'egoire","submitted_at":"2015-10-20T21:34:10Z","abstract_excerpt":"The Twin Higgs model seeks to address the little hierarchy problem by making the Higgs a pseudo-Goldstone of a global $SU(4)$ symmetry that is spontaneously broken to $SU(3)$. Gauge and Yukawa couplings, which explicitly break $SU(4)$, enjoy a discrete $\\mathbb{Z}_2$ symmetry that accidentally maintains $SU(4)$ at the quadratic level and therefore keeps the Higgs light. Contrary to most beyond the Standard Model theories, the quadratically divergent corrections to the Higgs mass are cancelled by a mirror sector, which is uncharged under the Standard Model groups. However, the Twin Higgs with a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.06069","kind":"arxiv","version":2},"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":"2026-05-18T01:20:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9XtFLEOjwoKhqc2y2yT/YRLubdfSgFYJfqM+fWAwnmTSI/Em8VmD5/5FB/QbAURsZAN5xYkZTo9OP+RaUplnBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T05:47:46.109599Z"},"content_sha256":"d06e134ff694ac47c339f41cf0f11d9d0cdb3d280374b94d40365feed4885f84","schema_version":"1.0","event_id":"sha256:d06e134ff694ac47c339f41cf0f11d9d0cdb3d280374b94d40365feed4885f84"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V4VWZLGBQQSY5NACFY7R75XXZU/bundle.json","state_url":"https://pith.science/pith/V4VWZLGBQQSY5NACFY7R75XXZU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V4VWZLGBQQSY5NACFY7R75XXZU/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":"2026-06-28T05:47:46Z","links":{"resolver":"https://pith.science/pith/V4VWZLGBQQSY5NACFY7R75XXZU","bundle":"https://pith.science/pith/V4VWZLGBQQSY5NACFY7R75XXZU/bundle.json","state":"https://pith.science/pith/V4VWZLGBQQSY5NACFY7R75XXZU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V4VWZLGBQQSY5NACFY7R75XXZU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:V4VWZLGBQQSY5NACFY7R75XXZU","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":"8eb7b26c696626cb4ab38e7e786d3fa7e358de9246c8fee2f547485c2556bcb4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-10-20T21:34:10Z","title_canon_sha256":"eb55abf21526889462febbd308844eef7bf6662ee70eda8ec9cb53fa8a20f089"},"schema_version":"1.0","source":{"id":"1510.06069","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.06069","created_at":"2026-05-18T01:20:33Z"},{"alias_kind":"arxiv_version","alias_value":"1510.06069v2","created_at":"2026-05-18T01:20:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.06069","created_at":"2026-05-18T01:20:33Z"},{"alias_kind":"pith_short_12","alias_value":"V4VWZLGBQQSY","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"V4VWZLGBQQSY5NAC","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"V4VWZLGB","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:d06e134ff694ac47c339f41cf0f11d9d0cdb3d280374b94d40365feed4885f84","target":"graph","created_at":"2026-05-18T01:20:33Z","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 Twin Higgs model seeks to address the little hierarchy problem by making the Higgs a pseudo-Goldstone of a global $SU(4)$ symmetry that is spontaneously broken to $SU(3)$. Gauge and Yukawa couplings, which explicitly break $SU(4)$, enjoy a discrete $\\mathbb{Z}_2$ symmetry that accidentally maintains $SU(4)$ at the quadratic level and therefore keeps the Higgs light. Contrary to most beyond the Standard Model theories, the quadratically divergent corrections to the Higgs mass are cancelled by a mirror sector, which is uncharged under the Standard Model groups. However, the Twin Higgs with a","authors_text":"Hugues Beauchesne, Kevin Earl, Thomas Gr\\'egoire","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-10-20T21:34:10Z","title":"The spontaneous $\\mathbb{Z}_2$ breaking Twin Higgs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.06069","kind":"arxiv","version":2},"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":"sha256:0881a66b5ba45db983c0a2e63d6f7ef1dfaeb4221394e323e2b614024ca74184","target":"record","created_at":"2026-05-18T01:20:33Z","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":"8eb7b26c696626cb4ab38e7e786d3fa7e358de9246c8fee2f547485c2556bcb4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-10-20T21:34:10Z","title_canon_sha256":"eb55abf21526889462febbd308844eef7bf6662ee70eda8ec9cb53fa8a20f089"},"schema_version":"1.0","source":{"id":"1510.06069","kind":"arxiv","version":2}},"canonical_sha256":"af2b6cacc184258eb4022e3f1ff6f7cd347a1d2a6a273359cc07a6988b011fff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"af2b6cacc184258eb4022e3f1ff6f7cd347a1d2a6a273359cc07a6988b011fff","first_computed_at":"2026-05-18T01:20:33.636946Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:33.636946Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l87XM5G/9WOAAgyM3xv3+C0VUjr4AkYk07Ye6aAFUTCZROFzgrdOOZvJtJYT0UB9DTGSLU7hiHcu4sSVIxvOCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:33.637398Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.06069","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0881a66b5ba45db983c0a2e63d6f7ef1dfaeb4221394e323e2b614024ca74184","sha256:d06e134ff694ac47c339f41cf0f11d9d0cdb3d280374b94d40365feed4885f84"],"state_sha256":"3e87ddf316cf08e3cb3fc896847b6abca5c395084fad1bb046cfea555451a0ef"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lFleERqKRX+EdGZgqQ7vSxj05a7Y5U/9lYNgtNC4jKItyEZc7R76ip2Pv3ExR+ldpV0sASvNfaFRdzYcpeyOCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T05:47:46.111598Z","bundle_sha256":"d57845a82d644ece6f8b1e6e4e6684be13934edd51caa723eaded53c09d860ef"}}