{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:IAOQ6QSWQGSR3BRG3I45CGDHOM","short_pith_number":"pith:IAOQ6QSW","schema_version":"1.0","canonical_sha256":"401d0f425681a51d8626da39d11867732812b2058d9ca4e3d0d6b0038b45c869","source":{"kind":"arxiv","id":"2606.03452","version":1},"attestation_state":"computed","paper":{"title":"Microscopic derivation of the microstretch theory for carbon nanotubes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Mamoru Matsuo, Naoki Nishimura, Takeo Kato","submitted_at":"2026-06-02T10:31:53Z","abstract_excerpt":"Twisted carbon nanotubes support phonons involving not only torsion, naturally associated with microrotation, but also radial breathing, which requires a scalar stretch degree of freedom. We derive an effective microstretch theory for these modes starting from nonlinear elasticity on a cylindrical surface. By linearizing the equation of motion around a uniformly twisted equilibrium configuration, we obtain the dynamical matrix for the twisting, longitudinal, and radial-breathing modes. This matrix coincides with that of a one-dimensional microstretch theory, and the corresponding elastic const"},"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":"2606.03452","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2026-06-02T10:31:53Z","cross_cats_sorted":[],"title_canon_sha256":"cb8ed94b20399f18f333d1b0b4e1c314f1fa57dd62e135d59bff61f5740807eb","abstract_canon_sha256":"50560cb5c0339c53c137081876ea50a0b474cab7d10780882d7588391f101888"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-03T01:05:58.261796Z","signature_b64":"T9SlMSNTl9R+QYY2lZSo56fKobhQ+I7/CyTqZU6v6i0ywW3E74sHIFmJ+sapoeYUq6NKz+1xFtiZV/igNsedAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"401d0f425681a51d8626da39d11867732812b2058d9ca4e3d0d6b0038b45c869","last_reissued_at":"2026-06-03T01:05:58.261415Z","signature_status":"signed_v1","first_computed_at":"2026-06-03T01:05:58.261415Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Microscopic derivation of the microstretch theory for carbon nanotubes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Mamoru Matsuo, Naoki Nishimura, Takeo Kato","submitted_at":"2026-06-02T10:31:53Z","abstract_excerpt":"Twisted carbon nanotubes support phonons involving not only torsion, naturally associated with microrotation, but also radial breathing, which requires a scalar stretch degree of freedom. We derive an effective microstretch theory for these modes starting from nonlinear elasticity on a cylindrical surface. By linearizing the equation of motion around a uniformly twisted equilibrium configuration, we obtain the dynamical matrix for the twisting, longitudinal, and radial-breathing modes. This matrix coincides with that of a one-dimensional microstretch theory, and the corresponding elastic const"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.03452","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/2606.03452/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":"2606.03452","created_at":"2026-06-03T01:05:58.261471+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.03452v1","created_at":"2026-06-03T01:05:58.261471+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.03452","created_at":"2026-06-03T01:05:58.261471+00:00"},{"alias_kind":"pith_short_12","alias_value":"IAOQ6QSWQGSR","created_at":"2026-06-03T01:05:58.261471+00:00"},{"alias_kind":"pith_short_16","alias_value":"IAOQ6QSWQGSR3BRG","created_at":"2026-06-03T01:05:58.261471+00:00"},{"alias_kind":"pith_short_8","alias_value":"IAOQ6QSW","created_at":"2026-06-03T01:05:58.261471+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/IAOQ6QSWQGSR3BRG3I45CGDHOM","json":"https://pith.science/pith/IAOQ6QSWQGSR3BRG3I45CGDHOM.json","graph_json":"https://pith.science/api/pith-number/IAOQ6QSWQGSR3BRG3I45CGDHOM/graph.json","events_json":"https://pith.science/api/pith-number/IAOQ6QSWQGSR3BRG3I45CGDHOM/events.json","paper":"https://pith.science/paper/IAOQ6QSW"},"agent_actions":{"view_html":"https://pith.science/pith/IAOQ6QSWQGSR3BRG3I45CGDHOM","download_json":"https://pith.science/pith/IAOQ6QSWQGSR3BRG3I45CGDHOM.json","view_paper":"https://pith.science/paper/IAOQ6QSW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.03452&json=true","fetch_graph":"https://pith.science/api/pith-number/IAOQ6QSWQGSR3BRG3I45CGDHOM/graph.json","fetch_events":"https://pith.science/api/pith-number/IAOQ6QSWQGSR3BRG3I45CGDHOM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IAOQ6QSWQGSR3BRG3I45CGDHOM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IAOQ6QSWQGSR3BRG3I45CGDHOM/action/storage_attestation","attest_author":"https://pith.science/pith/IAOQ6QSWQGSR3BRG3I45CGDHOM/action/author_attestation","sign_citation":"https://pith.science/pith/IAOQ6QSWQGSR3BRG3I45CGDHOM/action/citation_signature","submit_replication":"https://pith.science/pith/IAOQ6QSWQGSR3BRG3I45CGDHOM/action/replication_record"}},"created_at":"2026-06-03T01:05:58.261471+00:00","updated_at":"2026-06-03T01:05:58.261471+00:00"}