{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:WPJD4DTIINYMJWVMEEW2HYCB53","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":"90838817bdda9f6d26da29083b94a2a8ce6b2dba8ee42c0ff5f83e6034e14107","cross_cats_sorted":["cond-mat.mtrl-sci","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-05-13T09:56:47Z","title_canon_sha256":"4f176814b2e5f9e670987e9246b6b4ed47d8b74cbecc981268d8ab8388c35a7c"},"schema_version":"1.0","source":{"id":"1505.03299","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.03299","created_at":"2026-05-18T01:34:22Z"},{"alias_kind":"arxiv_version","alias_value":"1505.03299v3","created_at":"2026-05-18T01:34:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.03299","created_at":"2026-05-18T01:34:22Z"},{"alias_kind":"pith_short_12","alias_value":"WPJD4DTIINYM","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WPJD4DTIINYMJWVM","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WPJD4DTI","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:dcd608f054e092cbf6942db03caaf5b2c7f4762c3b4fef70ebb02b1e1e862e88","target":"graph","created_at":"2026-05-18T01:34:22Z","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":"When a continuous symmetry is spontaneously broken in non-relativistic theories, there appear Nambu-Goldstone (NG) modes, whose dispersion relations are either linear (type-I) or quadratic (type-II). We give a general framework to interpolate between relativistic and non-relativistic NG modes, revealing a nature of type-I and II NG modes in non-relativistic theories. The interpolating Lagrangians have the nonlinear Lorentz invariance which reduces to the Galilei or Schrodinger invariance in the non-relativistic limit. We find that type-I and type-II NG modes in the interpolating region are acc","authors_text":"Michikazu Kobayashi, Muneto Nitta","cross_cats":["cond-mat.mtrl-sci","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-05-13T09:56:47Z","title":"Interpolating relativistic and non-relativistic Nambu-Goldstone and Higgs modes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.03299","kind":"arxiv","version":3},"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":"sha256:98101ed67cb5bf16ffc391759b4cf9b1913647cb23aa6fbe1b182d2059534a1f","target":"record","created_at":"2026-05-18T01:34:22Z","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":"90838817bdda9f6d26da29083b94a2a8ce6b2dba8ee42c0ff5f83e6034e14107","cross_cats_sorted":["cond-mat.mtrl-sci","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-05-13T09:56:47Z","title_canon_sha256":"4f176814b2e5f9e670987e9246b6b4ed47d8b74cbecc981268d8ab8388c35a7c"},"schema_version":"1.0","source":{"id":"1505.03299","kind":"arxiv","version":3}},"canonical_sha256":"b3d23e0e684370c4daac212da3e041eec26e783ffbb612ba942c770074b7773a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b3d23e0e684370c4daac212da3e041eec26e783ffbb612ba942c770074b7773a","first_computed_at":"2026-05-18T01:34:22.883150Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:22.883150Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9520kcbzGqAfUmIjVV7mvvW2a9jfVSNy6n25qkfS7SzMWHY4GjU/YTrpFLVGP4gSfUfT6oh/1OUxg2kUiPd+CA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:22.883865Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.03299","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:98101ed67cb5bf16ffc391759b4cf9b1913647cb23aa6fbe1b182d2059534a1f","sha256:dcd608f054e092cbf6942db03caaf5b2c7f4762c3b4fef70ebb02b1e1e862e88"],"state_sha256":"874a8c8bc23149dccdb1dbe7a54c2c3f92771856e12c3769d07cddc6131c455f"}