{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:FEONSMJWIOBELOSR7PZHLUWPVC","short_pith_number":"pith:FEONSMJW","schema_version":"1.0","canonical_sha256":"291cd93136438245ba51fbf275d2cfa8b8a1265776c44bba3127c781b4d2ee84","source":{"kind":"arxiv","id":"1404.7696","version":3},"attestation_state":"computed","paper":{"title":"Counting rule of Nambu-Goldstone modes for internal and spacetime symmetries: Bogoliubov theory approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat.quant-gas","authors_text":"Daisuke A. Takahashi, Muneto Nitta","submitted_at":"2014-04-30T12:19:08Z","abstract_excerpt":"When continuous symmetry is spontaneously broken, there appear Nambu-Goldstone modes (NGMs) with linear and quadratic dispersion relations, which are called type-I and type-II, respectively. We propose a framework to count these modes including the coefficients of the dispersion relations with applying the standard Gross-Pitaevskii-Bogoliubov theory. Our method is mainly based on (i) zero-mode solutions of the Bogoliubov equation originated from spontaneous symmetry breaking and (ii) their generalized orthogonal relations, which naturally arises from well-known Bogoliubov transformations and i"},"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":"1404.7696","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2014-04-30T12:19:08Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"a96687a9ce68d35cd7914e37fd07a9c6786a993bd9131351189805ff75980226","abstract_canon_sha256":"f063b563151d0f0241e36763b30d94c14c6063840b9968922e74835a51e37637"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:55.054215Z","signature_b64":"ZF14mHlsxPkfMiu2kAtOnXeidrbg49W2JjholTOXpmP3mWbesZ4Ib1bF3joX5XTkN8/HFKSu6oEzLfPYV1DODA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"291cd93136438245ba51fbf275d2cfa8b8a1265776c44bba3127c781b4d2ee84","last_reissued_at":"2026-05-18T02:29:55.053816Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:55.053816Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Counting rule of Nambu-Goldstone modes for internal and spacetime symmetries: Bogoliubov theory approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat.quant-gas","authors_text":"Daisuke A. Takahashi, Muneto Nitta","submitted_at":"2014-04-30T12:19:08Z","abstract_excerpt":"When continuous symmetry is spontaneously broken, there appear Nambu-Goldstone modes (NGMs) with linear and quadratic dispersion relations, which are called type-I and type-II, respectively. We propose a framework to count these modes including the coefficients of the dispersion relations with applying the standard Gross-Pitaevskii-Bogoliubov theory. Our method is mainly based on (i) zero-mode solutions of the Bogoliubov equation originated from spontaneous symmetry breaking and (ii) their generalized orthogonal relations, which naturally arises from well-known Bogoliubov transformations and i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.7696","kind":"arxiv","version":3},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1404.7696","created_at":"2026-05-18T02:29:55.053880+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.7696v3","created_at":"2026-05-18T02:29:55.053880+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.7696","created_at":"2026-05-18T02:29:55.053880+00:00"},{"alias_kind":"pith_short_12","alias_value":"FEONSMJWIOBE","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_16","alias_value":"FEONSMJWIOBELOSR","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_8","alias_value":"FEONSMJW","created_at":"2026-05-18T12:28:28.263976+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FEONSMJWIOBELOSR7PZHLUWPVC","json":"https://pith.science/pith/FEONSMJWIOBELOSR7PZHLUWPVC.json","graph_json":"https://pith.science/api/pith-number/FEONSMJWIOBELOSR7PZHLUWPVC/graph.json","events_json":"https://pith.science/api/pith-number/FEONSMJWIOBELOSR7PZHLUWPVC/events.json","paper":"https://pith.science/paper/FEONSMJW"},"agent_actions":{"view_html":"https://pith.science/pith/FEONSMJWIOBELOSR7PZHLUWPVC","download_json":"https://pith.science/pith/FEONSMJWIOBELOSR7PZHLUWPVC.json","view_paper":"https://pith.science/paper/FEONSMJW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.7696&json=true","fetch_graph":"https://pith.science/api/pith-number/FEONSMJWIOBELOSR7PZHLUWPVC/graph.json","fetch_events":"https://pith.science/api/pith-number/FEONSMJWIOBELOSR7PZHLUWPVC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FEONSMJWIOBELOSR7PZHLUWPVC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FEONSMJWIOBELOSR7PZHLUWPVC/action/storage_attestation","attest_author":"https://pith.science/pith/FEONSMJWIOBELOSR7PZHLUWPVC/action/author_attestation","sign_citation":"https://pith.science/pith/FEONSMJWIOBELOSR7PZHLUWPVC/action/citation_signature","submit_replication":"https://pith.science/pith/FEONSMJWIOBELOSR7PZHLUWPVC/action/replication_record"}},"created_at":"2026-05-18T02:29:55.053880+00:00","updated_at":"2026-05-18T02:29:55.053880+00:00"}