{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:LHP3GEJ5X226CPYOX24MZFMS4C","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":"bc6fa5eb0365221a06b9e3bcc307b80495bfecc5b4e8627ea9482c6ad766010b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2009-03-13T19:45:59Z","title_canon_sha256":"02c2db4d1425058669ba31131e2a669f3403c1a1281766bbd5ea2e8ffab07dfe"},"schema_version":"1.0","source":{"id":"0903.2461","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0903.2461","created_at":"2026-05-18T04:09:35Z"},{"alias_kind":"arxiv_version","alias_value":"0903.2461v4","created_at":"2026-05-18T04:09:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.2461","created_at":"2026-05-18T04:09:35Z"},{"alias_kind":"pith_short_12","alias_value":"LHP3GEJ5X226","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"LHP3GEJ5X226CPYO","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"LHP3GEJ5","created_at":"2026-05-18T12:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:0f61c2cd41378bdb5c99df13ffb2c2b4fbe9971f389db8c064fec05a7d53b3ec","target":"graph","created_at":"2026-05-18T04:09:35Z","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":"A simplified theory of the telescopic oscillations in multiwalled carbon nanotubes is developed. The explicit expressions for the telescopic force constants (longitudinal rigidity) and the frequencies of telescopic oscillations are derived. The contribution of small-amplitude telescopic oscillations to the nanotubes low temperature specific heat is estimated.","authors_text":"Sergey Marchenko, Vladimir Zavalniuk","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2009-03-13T19:45:59Z","title":"Theoretical analysis of telescopic oscillations in multi-walled carbon nanotubes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.2461","kind":"arxiv","version":4},"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":"sha256:862c0d70ee30b572525e843eb44fee54d3c37ccd3363a7169ce05e2eafc42204","target":"record","created_at":"2026-05-18T04:09:35Z","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":"bc6fa5eb0365221a06b9e3bcc307b80495bfecc5b4e8627ea9482c6ad766010b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2009-03-13T19:45:59Z","title_canon_sha256":"02c2db4d1425058669ba31131e2a669f3403c1a1281766bbd5ea2e8ffab07dfe"},"schema_version":"1.0","source":{"id":"0903.2461","kind":"arxiv","version":4}},"canonical_sha256":"59dfb3113dbeb5e13f0ebeb8cc9592e0bd00d26dda1dcc8a51d022ff92cd06d0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"59dfb3113dbeb5e13f0ebeb8cc9592e0bd00d26dda1dcc8a51d022ff92cd06d0","first_computed_at":"2026-05-18T04:09:35.334864Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:09:35.334864Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bRS4jQsw5ABWd6VAHdo/8PT68IAV66iR56McmX+Gt+etHFhtN+atYNi0AOG8K7IfnrJkJx4C4/Q+MvZLNcmQDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:09:35.335304Z","signed_message":"canonical_sha256_bytes"},"source_id":"0903.2461","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:862c0d70ee30b572525e843eb44fee54d3c37ccd3363a7169ce05e2eafc42204","sha256:0f61c2cd41378bdb5c99df13ffb2c2b4fbe9971f389db8c064fec05a7d53b3ec"],"state_sha256":"d81ecf54bc15367616469608d869113c2a119a4d506da57654e713445e598cf8"}