{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:KQUIHYL5PQ7TX4OQDLAO2ELBI2","short_pith_number":"pith:KQUIHYL5","schema_version":"1.0","canonical_sha256":"542883e17d7c3f3bf1d01ac0ed11614695e48bc73915e9cf96bfd973594708c3","source":{"kind":"arxiv","id":"1504.07781","version":2},"attestation_state":"computed","paper":{"title":"Transverse intrinsic localized modes in monatomic chain and in graphene","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci"],"primary_cat":"nlin.PS","authors_text":"A. Shelkan, M. Klopov, V. Hizhnyakov","submitted_at":"2015-04-29T09:21:53Z","abstract_excerpt":"In this paper an analytical and numerical study of anharmonic vibrations of monatomic chain and graphene in transverse (perpendicular) with respect to the chain/plane direction is presented. Due to the lack of odd anharmonicities and presence of hard quartic anharmonicity for displacements in this direction, there may exist localized anharmonic transverse modes with the frequencies above the spectrum of the corresponding phonons. Although these frequencies are in resonance with longitudinal (chain) or in-plane (graphene) phonons, the modes can decay only due to a weak anharmonic process. There"},"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":"1504.07781","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2015-04-29T09:21:53Z","cross_cats_sorted":["cond-mat.mtrl-sci"],"title_canon_sha256":"83c09553ec7dde9158358976182524b97a18a6ca536682347eaa61f82b40292b","abstract_canon_sha256":"b82d0c03825c3e4968c71815bf25bae60ff75f1e533dee0fc18411875a0f511a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:46.518368Z","signature_b64":"M1w2yt12zwyABVxKlq0n3l4N1RZOF2X6nhimEcuu36eBKViY6G8DhO9fJbcXQ5D9jR1sbarNuJL5VDP/9c7ZCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"542883e17d7c3f3bf1d01ac0ed11614695e48bc73915e9cf96bfd973594708c3","last_reissued_at":"2026-05-18T01:20:46.517725Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:46.517725Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Transverse intrinsic localized modes in monatomic chain and in graphene","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci"],"primary_cat":"nlin.PS","authors_text":"A. Shelkan, M. Klopov, V. Hizhnyakov","submitted_at":"2015-04-29T09:21:53Z","abstract_excerpt":"In this paper an analytical and numerical study of anharmonic vibrations of monatomic chain and graphene in transverse (perpendicular) with respect to the chain/plane direction is presented. Due to the lack of odd anharmonicities and presence of hard quartic anharmonicity for displacements in this direction, there may exist localized anharmonic transverse modes with the frequencies above the spectrum of the corresponding phonons. Although these frequencies are in resonance with longitudinal (chain) or in-plane (graphene) phonons, the modes can decay only due to a weak anharmonic process. There"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.07781","kind":"arxiv","version":2},"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":"1504.07781","created_at":"2026-05-18T01:20:46.517796+00:00"},{"alias_kind":"arxiv_version","alias_value":"1504.07781v2","created_at":"2026-05-18T01:20:46.517796+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.07781","created_at":"2026-05-18T01:20:46.517796+00:00"},{"alias_kind":"pith_short_12","alias_value":"KQUIHYL5PQ7T","created_at":"2026-05-18T12:29:29.992203+00:00"},{"alias_kind":"pith_short_16","alias_value":"KQUIHYL5PQ7TX4OQ","created_at":"2026-05-18T12:29:29.992203+00:00"},{"alias_kind":"pith_short_8","alias_value":"KQUIHYL5","created_at":"2026-05-18T12:29:29.992203+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/KQUIHYL5PQ7TX4OQDLAO2ELBI2","json":"https://pith.science/pith/KQUIHYL5PQ7TX4OQDLAO2ELBI2.json","graph_json":"https://pith.science/api/pith-number/KQUIHYL5PQ7TX4OQDLAO2ELBI2/graph.json","events_json":"https://pith.science/api/pith-number/KQUIHYL5PQ7TX4OQDLAO2ELBI2/events.json","paper":"https://pith.science/paper/KQUIHYL5"},"agent_actions":{"view_html":"https://pith.science/pith/KQUIHYL5PQ7TX4OQDLAO2ELBI2","download_json":"https://pith.science/pith/KQUIHYL5PQ7TX4OQDLAO2ELBI2.json","view_paper":"https://pith.science/paper/KQUIHYL5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1504.07781&json=true","fetch_graph":"https://pith.science/api/pith-number/KQUIHYL5PQ7TX4OQDLAO2ELBI2/graph.json","fetch_events":"https://pith.science/api/pith-number/KQUIHYL5PQ7TX4OQDLAO2ELBI2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KQUIHYL5PQ7TX4OQDLAO2ELBI2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KQUIHYL5PQ7TX4OQDLAO2ELBI2/action/storage_attestation","attest_author":"https://pith.science/pith/KQUIHYL5PQ7TX4OQDLAO2ELBI2/action/author_attestation","sign_citation":"https://pith.science/pith/KQUIHYL5PQ7TX4OQDLAO2ELBI2/action/citation_signature","submit_replication":"https://pith.science/pith/KQUIHYL5PQ7TX4OQDLAO2ELBI2/action/replication_record"}},"created_at":"2026-05-18T01:20:46.517796+00:00","updated_at":"2026-05-18T01:20:46.517796+00:00"}