{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:YURASSMEHMQUT3RFR5KUK4E3DM","short_pith_number":"pith:YURASSME","canonical_record":{"source":{"id":"1702.08073","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-02-26T19:59:08Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"0bee56bdc9be3d5479f8cbb1c07eafec9c638a947df062d93258d8be5097b656","abstract_canon_sha256":"23a2b762fcc61df3fd088229fbc866c3b73f163071ac03532f53924c8c3dbed0"},"schema_version":"1.0"},"canonical_sha256":"c5220949843b2149ee258f5545709b1b17df1fd5da2094f8755a9a319b910991","source":{"kind":"arxiv","id":"1702.08073","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.08073","created_at":"2026-05-18T00:35:34Z"},{"alias_kind":"arxiv_version","alias_value":"1702.08073v1","created_at":"2026-05-18T00:35:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.08073","created_at":"2026-05-18T00:35:34Z"},{"alias_kind":"pith_short_12","alias_value":"YURASSMEHMQU","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"YURASSMEHMQUT3RF","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"YURASSME","created_at":"2026-05-18T12:31:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:YURASSMEHMQUT3RFR5KUK4E3DM","target":"record","payload":{"canonical_record":{"source":{"id":"1702.08073","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-02-26T19:59:08Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"0bee56bdc9be3d5479f8cbb1c07eafec9c638a947df062d93258d8be5097b656","abstract_canon_sha256":"23a2b762fcc61df3fd088229fbc866c3b73f163071ac03532f53924c8c3dbed0"},"schema_version":"1.0"},"canonical_sha256":"c5220949843b2149ee258f5545709b1b17df1fd5da2094f8755a9a319b910991","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:35:34.607871Z","signature_b64":"OBdk6Y9YkyZj1pbBoYJNPh1lRUa/gsCYPZzl46pxf5GxPEfqBErojweCheJ3IjZsAt0vhvfokoUe1/DnQRlxBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c5220949843b2149ee258f5545709b1b17df1fd5da2094f8755a9a319b910991","last_reissued_at":"2026-05-18T00:35:34.607215Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:35:34.607215Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.08073","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":"2026-05-18T00:35:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XLCsxujbwj9HM+EPlhYXeHDBDrlq6spLneuDBLb7SKAnyvcNAgzjZIvAMf0nlUnKrzAHbqywWdRQiYN/iY6nCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T18:42:39.586085Z"},"content_sha256":"4af5ccd216c25784c961c8dbad12616132b15cb8f5bf8e7e036bb16b54a5f8fc","schema_version":"1.0","event_id":"sha256:4af5ccd216c25784c961c8dbad12616132b15cb8f5bf8e7e036bb16b54a5f8fc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:YURASSMEHMQUT3RFR5KUK4E3DM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spontaneous Breaking of Gauge Groups to Discrete Symmetries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"hep-ph","authors_text":"Bradley L. Rachlin, Thomas W. Kephart","submitted_at":"2017-02-26T19:59:08Z","abstract_excerpt":"Many models of beyond Standard Model physics connect flavor symmetry with a discrete group. Having this symmetry arise spontaneously from a gauge theory maintains compatibility with quantum gravity and can be used to systematically prevent anomalies. We minimize a number of Higgs potentials that break gauge groups to discrete symmetries of interest, and examine their scalar mass spectra."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.08073","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":"2026-05-18T00:35:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"600/OawzyYsYvRPo4De113njIY+ypJ2oSWAdhMl4NHTU5NOlugaaftE2/5Cy5clbEQFrgKhqSLfP0sT4wa/rAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T18:42:39.586599Z"},"content_sha256":"ed1ea60421e6220215c04bf8b0d1506e3d985a854fd073d6458ce06658f1c88f","schema_version":"1.0","event_id":"sha256:ed1ea60421e6220215c04bf8b0d1506e3d985a854fd073d6458ce06658f1c88f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YURASSMEHMQUT3RFR5KUK4E3DM/bundle.json","state_url":"https://pith.science/pith/YURASSMEHMQUT3RFR5KUK4E3DM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YURASSMEHMQUT3RFR5KUK4E3DM/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":"2026-08-20T18:42:39Z","links":{"resolver":"https://pith.science/pith/YURASSMEHMQUT3RFR5KUK4E3DM","bundle":"https://pith.science/pith/YURASSMEHMQUT3RFR5KUK4E3DM/bundle.json","state":"https://pith.science/pith/YURASSMEHMQUT3RFR5KUK4E3DM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YURASSMEHMQUT3RFR5KUK4E3DM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:YURASSMEHMQUT3RFR5KUK4E3DM","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":"23a2b762fcc61df3fd088229fbc866c3b73f163071ac03532f53924c8c3dbed0","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-02-26T19:59:08Z","title_canon_sha256":"0bee56bdc9be3d5479f8cbb1c07eafec9c638a947df062d93258d8be5097b656"},"schema_version":"1.0","source":{"id":"1702.08073","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.08073","created_at":"2026-05-18T00:35:34Z"},{"alias_kind":"arxiv_version","alias_value":"1702.08073v1","created_at":"2026-05-18T00:35:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.08073","created_at":"2026-05-18T00:35:34Z"},{"alias_kind":"pith_short_12","alias_value":"YURASSMEHMQU","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"YURASSMEHMQUT3RF","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"YURASSME","created_at":"2026-05-18T12:31:56Z"}],"graph_snapshots":[{"event_id":"sha256:ed1ea60421e6220215c04bf8b0d1506e3d985a854fd073d6458ce06658f1c88f","target":"graph","created_at":"2026-05-18T00:35:34Z","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":"Many models of beyond Standard Model physics connect flavor symmetry with a discrete group. Having this symmetry arise spontaneously from a gauge theory maintains compatibility with quantum gravity and can be used to systematically prevent anomalies. We minimize a number of Higgs potentials that break gauge groups to discrete symmetries of interest, and examine their scalar mass spectra.","authors_text":"Bradley L. Rachlin, Thomas W. Kephart","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-02-26T19:59:08Z","title":"Spontaneous Breaking of Gauge Groups to Discrete Symmetries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.08073","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":"sha256:4af5ccd216c25784c961c8dbad12616132b15cb8f5bf8e7e036bb16b54a5f8fc","target":"record","created_at":"2026-05-18T00:35:34Z","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":"23a2b762fcc61df3fd088229fbc866c3b73f163071ac03532f53924c8c3dbed0","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-02-26T19:59:08Z","title_canon_sha256":"0bee56bdc9be3d5479f8cbb1c07eafec9c638a947df062d93258d8be5097b656"},"schema_version":"1.0","source":{"id":"1702.08073","kind":"arxiv","version":1}},"canonical_sha256":"c5220949843b2149ee258f5545709b1b17df1fd5da2094f8755a9a319b910991","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c5220949843b2149ee258f5545709b1b17df1fd5da2094f8755a9a319b910991","first_computed_at":"2026-05-18T00:35:34.607215Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:34.607215Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OBdk6Y9YkyZj1pbBoYJNPh1lRUa/gsCYPZzl46pxf5GxPEfqBErojweCheJ3IjZsAt0vhvfokoUe1/DnQRlxBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:34.607871Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.08073","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4af5ccd216c25784c961c8dbad12616132b15cb8f5bf8e7e036bb16b54a5f8fc","sha256:ed1ea60421e6220215c04bf8b0d1506e3d985a854fd073d6458ce06658f1c88f"],"state_sha256":"013ff926cff3d79c5a15078b06c7c3c27961894e7a1c5a49bc507affff9cb226"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HnD3IrA0imLVwx0TJYpH89vcWJanPRBrOakh5SA/3Q0YnqRZxVauhXb/+oJDkw3Nofs87EUG7GmeUDGsu1b0DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T18:42:39.591293Z","bundle_sha256":"c43d4f2a9dc8c5bc75d6ad4c68d0de495baa6d027379e57cf5604f626b6867cb"}}