{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:NL2AZC6MP24KMUEDMBW2JZCHDU","short_pith_number":"pith:NL2AZC6M","schema_version":"1.0","canonical_sha256":"6af40c8bcc7eb8a65083606da4e4471d0796743c10629700ab3a0c6ef56ff6da","source":{"kind":"arxiv","id":"1405.7841","version":2},"attestation_state":"computed","paper":{"title":"Long time stability of small amplitude Breathers in a mixed FPU-KG model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Simone Paleari, Tiziano Penati","submitted_at":"2014-05-30T12:46:13Z","abstract_excerpt":"In the limit of small couplings in the nearest neighbor interaction, and small total energy, we apply the resonant normal form result of a previous paper of ours to a finite but arbitrarily large mixed Fermi-Pasta-Ulam Klein-Gordon chain, i.e. with both linear and nonlinear terms in both the on-site and interaction potential, with periodic boundary conditions. An existence and orbital stability result for Breathers of such a normal form, which turns out to be a generalized discrete Nonlinear Schr\\\"odinger model with exponentially decaying all neighbor interactions, is first proved. Exploiting "},"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":"1405.7841","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-05-30T12:46:13Z","cross_cats_sorted":[],"title_canon_sha256":"f2f0469c5329cadd3ace1ea8d9e41fd57ea7c28a52014688cf6e393573daf961","abstract_canon_sha256":"529f54af9a541b67737be624c3bb9010d970e4ffa109ab54c40225a97d72b02d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:18:01.453542Z","signature_b64":"c9tGPMJUKHCeZbUSXYGwZ5VjTex2iAe1U/JAU9Fzt/u/AbtQFMrW49C0NZXzbD0vm12LklQ0XFOTUrYzbMmdCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6af40c8bcc7eb8a65083606da4e4471d0796743c10629700ab3a0c6ef56ff6da","last_reissued_at":"2026-05-18T02:18:01.452867Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:18:01.452867Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Long time stability of small amplitude Breathers in a mixed FPU-KG model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Simone Paleari, Tiziano Penati","submitted_at":"2014-05-30T12:46:13Z","abstract_excerpt":"In the limit of small couplings in the nearest neighbor interaction, and small total energy, we apply the resonant normal form result of a previous paper of ours to a finite but arbitrarily large mixed Fermi-Pasta-Ulam Klein-Gordon chain, i.e. with both linear and nonlinear terms in both the on-site and interaction potential, with periodic boundary conditions. An existence and orbital stability result for Breathers of such a normal form, which turns out to be a generalized discrete Nonlinear Schr\\\"odinger model with exponentially decaying all neighbor interactions, is first proved. Exploiting "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.7841","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":"1405.7841","created_at":"2026-05-18T02:18:01.452976+00:00"},{"alias_kind":"arxiv_version","alias_value":"1405.7841v2","created_at":"2026-05-18T02:18:01.452976+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.7841","created_at":"2026-05-18T02:18:01.452976+00:00"},{"alias_kind":"pith_short_12","alias_value":"NL2AZC6MP24K","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_16","alias_value":"NL2AZC6MP24KMUED","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_8","alias_value":"NL2AZC6M","created_at":"2026-05-18T12:28:41.024544+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/NL2AZC6MP24KMUEDMBW2JZCHDU","json":"https://pith.science/pith/NL2AZC6MP24KMUEDMBW2JZCHDU.json","graph_json":"https://pith.science/api/pith-number/NL2AZC6MP24KMUEDMBW2JZCHDU/graph.json","events_json":"https://pith.science/api/pith-number/NL2AZC6MP24KMUEDMBW2JZCHDU/events.json","paper":"https://pith.science/paper/NL2AZC6M"},"agent_actions":{"view_html":"https://pith.science/pith/NL2AZC6MP24KMUEDMBW2JZCHDU","download_json":"https://pith.science/pith/NL2AZC6MP24KMUEDMBW2JZCHDU.json","view_paper":"https://pith.science/paper/NL2AZC6M","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1405.7841&json=true","fetch_graph":"https://pith.science/api/pith-number/NL2AZC6MP24KMUEDMBW2JZCHDU/graph.json","fetch_events":"https://pith.science/api/pith-number/NL2AZC6MP24KMUEDMBW2JZCHDU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NL2AZC6MP24KMUEDMBW2JZCHDU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NL2AZC6MP24KMUEDMBW2JZCHDU/action/storage_attestation","attest_author":"https://pith.science/pith/NL2AZC6MP24KMUEDMBW2JZCHDU/action/author_attestation","sign_citation":"https://pith.science/pith/NL2AZC6MP24KMUEDMBW2JZCHDU/action/citation_signature","submit_replication":"https://pith.science/pith/NL2AZC6MP24KMUEDMBW2JZCHDU/action/replication_record"}},"created_at":"2026-05-18T02:18:01.452976+00:00","updated_at":"2026-05-18T02:18:01.452976+00:00"}