{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:5KGF7UO7MMXN6T4SMZMJYTNHIG","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":"c837cd739add2d4312f7a4fc89b5fb550790cab74d49e27f7d3a3caacd0f7bef","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-11-10T18:56:53Z","title_canon_sha256":"240294fffd9e3a992d492d62d145475567b481da495d918dd995a1791aefff8e"},"schema_version":"1.0","source":{"id":"1111.2557","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.2557","created_at":"2026-05-18T03:36:37Z"},{"alias_kind":"arxiv_version","alias_value":"1111.2557v2","created_at":"2026-05-18T03:36:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.2557","created_at":"2026-05-18T03:36:37Z"},{"alias_kind":"pith_short_12","alias_value":"5KGF7UO7MMXN","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"5KGF7UO7MMXN6T4S","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"5KGF7UO7","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:2e6be070c93f5df4a28de2e378c40a22ca8a7f29a9c80f644f6370e890437137","target":"graph","created_at":"2026-05-18T03:36:37Z","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 most general theorem about spectral stability of multi-site breathers in the discrete Klein-Gordon equation with a small coupling constant. In the anti-continuum limit, multi-site breathers represent excited oscillations at different sites of the lattice separated by a number of \"holes\" (sites at rest). The theorem describes how the stability or instability of a multi-site breather depends on the phase difference and distance between the excited oscillators. Previously, only multi-site breathers with adjacent excited sites were considered within the first-order perturbation theory","authors_text":"Anton Sakovich, Dmitry Pelinovsky","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-11-10T18:56:53Z","title":"Multi-site breathers in Klein-Gordon lattices: stability, resonances, and bifurcations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.2557","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:ce217de17ed458e781c5c4779d7bd0c4cdb212abd2cfa58cd1db3391818c8a17","target":"record","created_at":"2026-05-18T03:36:37Z","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":"c837cd739add2d4312f7a4fc89b5fb550790cab74d49e27f7d3a3caacd0f7bef","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-11-10T18:56:53Z","title_canon_sha256":"240294fffd9e3a992d492d62d145475567b481da495d918dd995a1791aefff8e"},"schema_version":"1.0","source":{"id":"1111.2557","kind":"arxiv","version":2}},"canonical_sha256":"ea8c5fd1df632edf4f9266589c4da741a3bd37bec2d9e1e32deb2d01dbfcee21","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ea8c5fd1df632edf4f9266589c4da741a3bd37bec2d9e1e32deb2d01dbfcee21","first_computed_at":"2026-05-18T03:36:37.056158Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:36:37.056158Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AWLiBMekVofJHivWZqq5kJO5w8DXVZ2XvstyijBATFSJERTEj5gjTL9QLrXUG2tF1mNkU3F/JpokvQRw3MdwBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:36:37.056594Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.2557","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ce217de17ed458e781c5c4779d7bd0c4cdb212abd2cfa58cd1db3391818c8a17","sha256:2e6be070c93f5df4a28de2e378c40a22ca8a7f29a9c80f644f6370e890437137"],"state_sha256":"406bd877764783c66418292a2b09590659337eea6a1dba5e2506096d3b6995bb"}