{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:4VHDUGPDTYN7YWTZZ5FCCJHGWE","short_pith_number":"pith:4VHDUGPD","schema_version":"1.0","canonical_sha256":"e54e3a19e39e1bfc5a79cf4a2124e6b10f18538ff5bdca93087b8e042b358a21","source":{"kind":"arxiv","id":"hep-th/0603010","version":2},"attestation_state":"computed","paper":{"title":"Spontaneous Lorentz Breaking at High Energies","license":"","headline":"","cross_cats":["gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Hsin-Chia Cheng, Jesse Thaler, Markus A. Luty, Shinji Mukohyama","submitted_at":"2006-03-01T22:36:22Z","abstract_excerpt":"Theories that spontaneously break Lorentz invariance also violate diffeomorphism symmetries, implying the existence of extra degrees of freedom and modifications of gravity. In the minimal model (``ghost condensation'') with only a single extra degree of freedom at low energies, the scale of Lorentz violation cannot be larger than about M ~ 100GeV due to an infrared instability in the gravity sector. We show that Lorentz symmetry can be broken at much higher scales in a non-minimal theory with additional degrees of freedom, in particular if Lorentz symmetry is broken by the vacuum expectation "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"hep-th/0603010","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2006-03-01T22:36:22Z","cross_cats_sorted":["gr-qc","hep-ph"],"title_canon_sha256":"8a959253bc6430dead5513c7308a7f725cd2243f8184307f0907397e629f68d0","abstract_canon_sha256":"70f0e925c62439e946afdcb86a1ded93bf8430d5da8e1d0baaa7d408c15cd426"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:01:52.330700Z","signature_b64":"3qxIMGCBB46oVJv3PdSIDEu2m9AsKPh4vbahTgdWXOoePbLAgbrB/KN77km3lJPqcA4QcoXOTwXs8zWUG0fgDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e54e3a19e39e1bfc5a79cf4a2124e6b10f18538ff5bdca93087b8e042b358a21","last_reissued_at":"2026-07-04T17:01:52.330355Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:01:52.330355Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spontaneous Lorentz Breaking at High Energies","license":"","headline":"","cross_cats":["gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Hsin-Chia Cheng, Jesse Thaler, Markus A. Luty, Shinji Mukohyama","submitted_at":"2006-03-01T22:36:22Z","abstract_excerpt":"Theories that spontaneously break Lorentz invariance also violate diffeomorphism symmetries, implying the existence of extra degrees of freedom and modifications of gravity. In the minimal model (``ghost condensation'') with only a single extra degree of freedom at low energies, the scale of Lorentz violation cannot be larger than about M ~ 100GeV due to an infrared instability in the gravity sector. We show that Lorentz symmetry can be broken at much higher scales in a non-minimal theory with additional degrees of freedom, in particular if Lorentz symmetry is broken by the vacuum expectation "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0603010","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/0603010/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0603010","created_at":"2026-07-04T17:01:52.330411+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0603010v2","created_at":"2026-07-04T17:01:52.330411+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0603010","created_at":"2026-07-04T17:01:52.330411+00:00"},{"alias_kind":"pith_short_12","alias_value":"4VHDUGPDTYN7","created_at":"2026-07-04T17:01:52.330411+00:00"},{"alias_kind":"pith_short_16","alias_value":"4VHDUGPDTYN7YWTZ","created_at":"2026-07-04T17:01:52.330411+00:00"},{"alias_kind":"pith_short_8","alias_value":"4VHDUGPD","created_at":"2026-07-04T17:01:52.330411+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2503.05651","citing_title":"Inverting no-hair theorems: How requiring General Relativity solutions restricts scalar-tensor theories","ref_index":33,"is_internal_anchor":true},{"citing_arxiv_id":"2512.22728","citing_title":"Probing higher curvature gravity via ringdown with overtones","ref_index":13,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/4VHDUGPDTYN7YWTZZ5FCCJHGWE","json":"https://pith.science/pith/4VHDUGPDTYN7YWTZZ5FCCJHGWE.json","graph_json":"https://pith.science/api/pith-number/4VHDUGPDTYN7YWTZZ5FCCJHGWE/graph.json","events_json":"https://pith.science/api/pith-number/4VHDUGPDTYN7YWTZZ5FCCJHGWE/events.json","paper":"https://pith.science/paper/4VHDUGPD"},"agent_actions":{"view_html":"https://pith.science/pith/4VHDUGPDTYN7YWTZZ5FCCJHGWE","download_json":"https://pith.science/pith/4VHDUGPDTYN7YWTZZ5FCCJHGWE.json","view_paper":"https://pith.science/paper/4VHDUGPD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0603010&json=true","fetch_graph":"https://pith.science/api/pith-number/4VHDUGPDTYN7YWTZZ5FCCJHGWE/graph.json","fetch_events":"https://pith.science/api/pith-number/4VHDUGPDTYN7YWTZZ5FCCJHGWE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4VHDUGPDTYN7YWTZZ5FCCJHGWE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4VHDUGPDTYN7YWTZZ5FCCJHGWE/action/storage_attestation","attest_author":"https://pith.science/pith/4VHDUGPDTYN7YWTZZ5FCCJHGWE/action/author_attestation","sign_citation":"https://pith.science/pith/4VHDUGPDTYN7YWTZZ5FCCJHGWE/action/citation_signature","submit_replication":"https://pith.science/pith/4VHDUGPDTYN7YWTZZ5FCCJHGWE/action/replication_record"}},"created_at":"2026-07-04T17:01:52.330411+00:00","updated_at":"2026-07-04T17:01:52.330411+00:00"}