{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:ZACKXM7MZXDGQUGFWGYZQTGGAY","short_pith_number":"pith:ZACKXM7M","schema_version":"1.0","canonical_sha256":"c804abb3eccdc66850c5b1b1984cc60626a38f86715abb866f82f3f9908b0c90","source":{"kind":"arxiv","id":"2605.20900","version":1},"attestation_state":"computed","paper":{"title":"Topological phononics","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["physics.app-ph","physics.comp-ph","physics.optics"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Feng Gao, Guancong Ma, Jiangxu Li, Jian-Hua Jiang, Li-Wei Wang, Minghui Lu, Qi Wang, Tiantian Zhang, Xingqiu Chen, Xiujuan Zhang, Xulong Wang, Yanfeng Chen, Yizhou Liu, Zeguo Chen, Zhi-Kang Lin","submitted_at":"2026-05-20T08:42:31Z","abstract_excerpt":"Topological phononics extends the foundational concepts of topological condensed matter physics to the realm of lattice vibrations and classical mechanical waves, unlocking robust, defect-immune states and phenomena beyond the reach of conventional phononic engineering. This review provides a unified, systematic framework for understanding topological phonons across natural and artificial systems, spanning solid-state materials, acoustic/mechanical metamaterials, and non-Hermitian platforms. We cover the core theoretical principles -- from Berry curvature and symmetry-protected topological inv"},"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":"2605.20900","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2026-05-20T08:42:31Z","cross_cats_sorted":["physics.app-ph","physics.comp-ph","physics.optics"],"title_canon_sha256":"600cb5848a154e2192304b67f7e3f1e049e1ffdea43c15a5ea7bf6e27eb56897","abstract_canon_sha256":"e02e7313885878af1f121f89ca1410cfe348e1a9ea4122341943a3a831b34587"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-21T01:05:27.110273Z","signature_b64":"KFMOk/JqD3WaA9Oddj2umNOWvpjK61OiA+/kMyL4up5m2vYL9aEsExSEFrpkph9nvQqoJuDLaYsTBhqTpzB8DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c804abb3eccdc66850c5b1b1984cc60626a38f86715abb866f82f3f9908b0c90","last_reissued_at":"2026-05-21T01:05:27.109539Z","signature_status":"signed_v1","first_computed_at":"2026-05-21T01:05:27.109539Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Topological phononics","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["physics.app-ph","physics.comp-ph","physics.optics"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Feng Gao, Guancong Ma, Jiangxu Li, Jian-Hua Jiang, Li-Wei Wang, Minghui Lu, Qi Wang, Tiantian Zhang, Xingqiu Chen, Xiujuan Zhang, Xulong Wang, Yanfeng Chen, Yizhou Liu, Zeguo Chen, Zhi-Kang Lin","submitted_at":"2026-05-20T08:42:31Z","abstract_excerpt":"Topological phononics extends the foundational concepts of topological condensed matter physics to the realm of lattice vibrations and classical mechanical waves, unlocking robust, defect-immune states and phenomena beyond the reach of conventional phononic engineering. This review provides a unified, systematic framework for understanding topological phonons across natural and artificial systems, spanning solid-state materials, acoustic/mechanical metamaterials, and non-Hermitian platforms. We cover the core theoretical principles -- from Berry curvature and symmetry-protected topological inv"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.20900","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.20900/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":"2605.20900","created_at":"2026-05-21T01:05:27.109654+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.20900v1","created_at":"2026-05-21T01:05:27.109654+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.20900","created_at":"2026-05-21T01:05:27.109654+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZACKXM7MZXDG","created_at":"2026-05-21T01:05:27.109654+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZACKXM7MZXDGQUGF","created_at":"2026-05-21T01:05:27.109654+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZACKXM7M","created_at":"2026-05-21T01:05:27.109654+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/ZACKXM7MZXDGQUGFWGYZQTGGAY","json":"https://pith.science/pith/ZACKXM7MZXDGQUGFWGYZQTGGAY.json","graph_json":"https://pith.science/api/pith-number/ZACKXM7MZXDGQUGFWGYZQTGGAY/graph.json","events_json":"https://pith.science/api/pith-number/ZACKXM7MZXDGQUGFWGYZQTGGAY/events.json","paper":"https://pith.science/paper/ZACKXM7M"},"agent_actions":{"view_html":"https://pith.science/pith/ZACKXM7MZXDGQUGFWGYZQTGGAY","download_json":"https://pith.science/pith/ZACKXM7MZXDGQUGFWGYZQTGGAY.json","view_paper":"https://pith.science/paper/ZACKXM7M","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.20900&json=true","fetch_graph":"https://pith.science/api/pith-number/ZACKXM7MZXDGQUGFWGYZQTGGAY/graph.json","fetch_events":"https://pith.science/api/pith-number/ZACKXM7MZXDGQUGFWGYZQTGGAY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZACKXM7MZXDGQUGFWGYZQTGGAY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZACKXM7MZXDGQUGFWGYZQTGGAY/action/storage_attestation","attest_author":"https://pith.science/pith/ZACKXM7MZXDGQUGFWGYZQTGGAY/action/author_attestation","sign_citation":"https://pith.science/pith/ZACKXM7MZXDGQUGFWGYZQTGGAY/action/citation_signature","submit_replication":"https://pith.science/pith/ZACKXM7MZXDGQUGFWGYZQTGGAY/action/replication_record"}},"created_at":"2026-05-21T01:05:27.109654+00:00","updated_at":"2026-05-21T01:05:27.109654+00:00"}