{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:MCGIOCPP2Q5WAXO4W2QOIF4QYJ","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":"ae3248f79d1639c13572feac5d952ecbeab959c48eed2bef7f20018f6fdaafca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2014-04-10T07:23:40Z","title_canon_sha256":"d6cd72cc58f37b7b89672866e1bd495a41a8abea7bab27f052850f823982076b"},"schema_version":"1.0","source":{"id":"1404.2712","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.2712","created_at":"2026-05-18T01:38:54Z"},{"alias_kind":"arxiv_version","alias_value":"1404.2712v2","created_at":"2026-05-18T01:38:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.2712","created_at":"2026-05-18T01:38:54Z"},{"alias_kind":"pith_short_12","alias_value":"MCGIOCPP2Q5W","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"MCGIOCPP2Q5WAXO4","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"MCGIOCPP","created_at":"2026-05-18T12:28:38Z"}],"graph_snapshots":[{"event_id":"sha256:b39b9599115734b55c38ff079b5ea8a3dc19637920490328305301fa5f68d0b4","target":"graph","created_at":"2026-05-18T01:38:54Z","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":"We prove the existence of time-periodic solutions consisting of patterns built up from two states, one with small amplitude and the other one with large amplitude, in general nonlinear Hamiltonian finite-size lattices with global coupling. Utilising the comparison principle for differential equations it is demonstrated that for a two site segment of the nonlinear lattice one can construct solutions that are sandwiched between two oscillatory localised lattice states. Subsequently, it is proven that such a localised state can be embedded in the extended nonlinear lattice forming a breathing pat","authors_text":"Dirk Hennig","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2014-04-10T07:23:40Z","title":"Existence of breathing patterns in globally coupled finite-size nonlinear lattices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.2712","kind":"arxiv","version":2},"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":"sha256:4f144a82469b3ce34db4642c319411c0f6a1f1101bcc038ea3adc4cc2fd52255","target":"record","created_at":"2026-05-18T01:38:54Z","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":"ae3248f79d1639c13572feac5d952ecbeab959c48eed2bef7f20018f6fdaafca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2014-04-10T07:23:40Z","title_canon_sha256":"d6cd72cc58f37b7b89672866e1bd495a41a8abea7bab27f052850f823982076b"},"schema_version":"1.0","source":{"id":"1404.2712","kind":"arxiv","version":2}},"canonical_sha256":"608c8709efd43b605ddcb6a0e41790c27f97bcf3b9fe8787a96b3d957f45d84d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"608c8709efd43b605ddcb6a0e41790c27f97bcf3b9fe8787a96b3d957f45d84d","first_computed_at":"2026-05-18T01:38:54.340765Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:54.340765Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vaGn3r9ZEXsgHRxg6QwBnsibzrFPlK5Xhcb5sXPyzc+UqJ8D5VA61nmtJrYpKeppZj5iXyTEC6Bk9nv1BU0hAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:54.341295Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.2712","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4f144a82469b3ce34db4642c319411c0f6a1f1101bcc038ea3adc4cc2fd52255","sha256:b39b9599115734b55c38ff079b5ea8a3dc19637920490328305301fa5f68d0b4"],"state_sha256":"1bc4d7937c72d6e34ba28b6684702d2a670f5de6c7054f39ca78e5dfdbcb745f"}