{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:LZZIRB5LSZQMC4W6KQEBFE55OT","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":"e387dfacf057ffa3592acbfcd43b2de648e07d02d5e7b21143e3a2a4eec4f8f5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-10-22T19:27:29Z","title_canon_sha256":"e9e032401785072689f624487ce1e0a1f952ca2a7c1352207e9f20eb7e7d98ed"},"schema_version":"1.0","source":{"id":"1810.09512","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.09512","created_at":"2026-05-17T23:54:10Z"},{"alias_kind":"arxiv_version","alias_value":"1810.09512v2","created_at":"2026-05-17T23:54:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.09512","created_at":"2026-05-17T23:54:10Z"},{"alias_kind":"pith_short_12","alias_value":"LZZIRB5LSZQM","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"LZZIRB5LSZQMC4W6","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"LZZIRB5L","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:5b8193b808f183762a66ab1b95e7fa5aabad1b26464e920d0626cddf05323b82","target":"graph","created_at":"2026-05-17T23:54:10Z","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 current models which \"violate Lorentz symmetry\" do so via a vector or tensor field which takes on a vacuum expectation value, thereby spontaneously breaking the underlying Lorentz symmetry of the Lagrangian. To obtain a tensor field with this behavior, one can posit a smooth potential for this field, in which case it would be expected to lie near the minimum of its potential. Alternately, one can enforce a non-zero tensor value via a Lagrange multiplier. The present work explores the relationship between these two types of theories in the case of vector models. In particular, the na\\\"ive ","authors_text":"Michael D. Seifert","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-10-22T19:27:29Z","title":"Constraints and degrees of freedom in Lorentz-violating field theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.09512","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":"sha256:3e1c07be8d4ef50f41593506adec0a1ee763b39453f23a325ef7f7209605485f","target":"record","created_at":"2026-05-17T23:54:10Z","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":"e387dfacf057ffa3592acbfcd43b2de648e07d02d5e7b21143e3a2a4eec4f8f5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-10-22T19:27:29Z","title_canon_sha256":"e9e032401785072689f624487ce1e0a1f952ca2a7c1352207e9f20eb7e7d98ed"},"schema_version":"1.0","source":{"id":"1810.09512","kind":"arxiv","version":2}},"canonical_sha256":"5e728887ab9660c172de54081293bd74cc4c0e85b91dbd4ee1b443c3ab1c830d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5e728887ab9660c172de54081293bd74cc4c0e85b91dbd4ee1b443c3ab1c830d","first_computed_at":"2026-05-17T23:54:10.701708Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:10.701708Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"s1GOxCrIlepp6h7L4sX+W8otaIh20SDpKDhEghA6bLU/sEnw+F9buNLsKc9PqDnATfV7UWguKwsKN+ntfyAFBw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:10.702273Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.09512","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3e1c07be8d4ef50f41593506adec0a1ee763b39453f23a325ef7f7209605485f","sha256:5b8193b808f183762a66ab1b95e7fa5aabad1b26464e920d0626cddf05323b82"],"state_sha256":"3dbea635dc606dcef6dd6700d5ef97f504728242608bad4abe8ef3c1a5be8566"}