{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:NOW775AMMG2IROEUPNDVOQIOYH","short_pith_number":"pith:NOW775AM","schema_version":"1.0","canonical_sha256":"6badfff40c61b488b8947b4757410ec1dcfb09f5cb27ecb3f0350f9ecd7215f7","source":{"kind":"arxiv","id":"1205.3592","version":2},"attestation_state":"computed","paper":{"title":"Energy Spreading in Strongly Nonlinear Disordered Lattices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","cond-mat.stat-mech"],"primary_cat":"nlin.CD","authors_text":"A. Pikovsky, M. Mulansky","submitted_at":"2012-05-16T08:21:43Z","abstract_excerpt":"We study scaling properties of energy spreading in disordered strongly nonlinear Hamiltonian lattices. Such lattices consist of nonlinearly coupled local linear or nonlinear oscillators, and demonstrate a rather slow, subdiffusive spreading of initially localized wave p ackets. We use a fractional nonlinear diffusion equation as a heuristic model of this process, and confirm that the scaling predictions resulting from a self-similar solution of this equation are indeed applicable to all studied cases. We s how that the spreading in nonlinearly coupled linear oscillators slows down compared to "},"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":"1205.3592","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-05-16T08:21:43Z","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.stat-mech"],"title_canon_sha256":"e21de8760b0b4d9415014a1bf74932a12d32e7cdd74d903cc5c24107b583bedc","abstract_canon_sha256":"14c50e599a12a2104100f0af35a8e870df67bc51314ea2f8189eaf78911c1905"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:26:08.847122Z","signature_b64":"GytS/6IY30yhJXp58vi7AtqRjqm2Tevy6VYP8S01vbrETvsqUnupb7r5K4Fni/JFw5upjstVuvfwD4EU9h28AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6badfff40c61b488b8947b4757410ec1dcfb09f5cb27ecb3f0350f9ecd7215f7","last_reissued_at":"2026-05-18T03:26:08.846609Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:26:08.846609Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Energy Spreading in Strongly Nonlinear Disordered Lattices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","cond-mat.stat-mech"],"primary_cat":"nlin.CD","authors_text":"A. Pikovsky, M. Mulansky","submitted_at":"2012-05-16T08:21:43Z","abstract_excerpt":"We study scaling properties of energy spreading in disordered strongly nonlinear Hamiltonian lattices. Such lattices consist of nonlinearly coupled local linear or nonlinear oscillators, and demonstrate a rather slow, subdiffusive spreading of initially localized wave p ackets. We use a fractional nonlinear diffusion equation as a heuristic model of this process, and confirm that the scaling predictions resulting from a self-similar solution of this equation are indeed applicable to all studied cases. We s how that the spreading in nonlinearly coupled linear oscillators slows down compared to "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.3592","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":"1205.3592","created_at":"2026-05-18T03:26:08.846685+00:00"},{"alias_kind":"arxiv_version","alias_value":"1205.3592v2","created_at":"2026-05-18T03:26:08.846685+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.3592","created_at":"2026-05-18T03:26:08.846685+00:00"},{"alias_kind":"pith_short_12","alias_value":"NOW775AMMG2I","created_at":"2026-05-18T12:27:16.716162+00:00"},{"alias_kind":"pith_short_16","alias_value":"NOW775AMMG2IROEU","created_at":"2026-05-18T12:27:16.716162+00:00"},{"alias_kind":"pith_short_8","alias_value":"NOW775AM","created_at":"2026-05-18T12:27:16.716162+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/NOW775AMMG2IROEUPNDVOQIOYH","json":"https://pith.science/pith/NOW775AMMG2IROEUPNDVOQIOYH.json","graph_json":"https://pith.science/api/pith-number/NOW775AMMG2IROEUPNDVOQIOYH/graph.json","events_json":"https://pith.science/api/pith-number/NOW775AMMG2IROEUPNDVOQIOYH/events.json","paper":"https://pith.science/paper/NOW775AM"},"agent_actions":{"view_html":"https://pith.science/pith/NOW775AMMG2IROEUPNDVOQIOYH","download_json":"https://pith.science/pith/NOW775AMMG2IROEUPNDVOQIOYH.json","view_paper":"https://pith.science/paper/NOW775AM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1205.3592&json=true","fetch_graph":"https://pith.science/api/pith-number/NOW775AMMG2IROEUPNDVOQIOYH/graph.json","fetch_events":"https://pith.science/api/pith-number/NOW775AMMG2IROEUPNDVOQIOYH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NOW775AMMG2IROEUPNDVOQIOYH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NOW775AMMG2IROEUPNDVOQIOYH/action/storage_attestation","attest_author":"https://pith.science/pith/NOW775AMMG2IROEUPNDVOQIOYH/action/author_attestation","sign_citation":"https://pith.science/pith/NOW775AMMG2IROEUPNDVOQIOYH/action/citation_signature","submit_replication":"https://pith.science/pith/NOW775AMMG2IROEUPNDVOQIOYH/action/replication_record"}},"created_at":"2026-05-18T03:26:08.846685+00:00","updated_at":"2026-05-18T03:26:08.846685+00:00"}