{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:L7F2M246BLIIY7HYOO2V3SCCRW","short_pith_number":"pith:L7F2M246","schema_version":"1.0","canonical_sha256":"5fcba66b9e0ad08c7cf873b55dc8428d95170280e714f2950bc66638a915204b","source":{"kind":"arxiv","id":"1301.6885","version":1},"attestation_state":"computed","paper":{"title":"Autoresonant soliton and decay pumping","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","nlin.PS"],"primary_cat":"math-ph","authors_text":"O.M. Kiselev","submitted_at":"2013-01-29T10:27:19Z","abstract_excerpt":"The primary resonance equation in partial derivatives with external force and slowly varying frequency is derived. The leading-order term of asymptotic solution is constructed as a soliton with growing amplitude when time is large. This growing solution is obtained due to the decaying amplitude of the external force. A necessary condition for the growth of the solution in dissipative media is obtained also."},"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":"1301.6885","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-01-29T10:27:19Z","cross_cats_sorted":["math.MP","nlin.PS"],"title_canon_sha256":"9a082ddfeaf7e31110e6bc2081a823a2d7a8f1ef27673c123869e3886f827c54","abstract_canon_sha256":"aa859f1e148e731a124c3d230146eb673f41677e699daf8287ebe42b583b3941"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:35:12.043461Z","signature_b64":"eT/QYibnYxokOj+8dmcQbEBCSSFZ+z0qoP6Vfh6pFpBqmP1CFpITdjhepKwXoR7ZcaA8vdlwhCgHokdJ5qFYAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5fcba66b9e0ad08c7cf873b55dc8428d95170280e714f2950bc66638a915204b","last_reissued_at":"2026-05-18T03:35:12.042674Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:35:12.042674Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Autoresonant soliton and decay pumping","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","nlin.PS"],"primary_cat":"math-ph","authors_text":"O.M. Kiselev","submitted_at":"2013-01-29T10:27:19Z","abstract_excerpt":"The primary resonance equation in partial derivatives with external force and slowly varying frequency is derived. The leading-order term of asymptotic solution is constructed as a soliton with growing amplitude when time is large. This growing solution is obtained due to the decaying amplitude of the external force. A necessary condition for the growth of the solution in dissipative media is obtained also."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.6885","kind":"arxiv","version":1},"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":"1301.6885","created_at":"2026-05-18T03:35:12.042803+00:00"},{"alias_kind":"arxiv_version","alias_value":"1301.6885v1","created_at":"2026-05-18T03:35:12.042803+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.6885","created_at":"2026-05-18T03:35:12.042803+00:00"},{"alias_kind":"pith_short_12","alias_value":"L7F2M246BLII","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_16","alias_value":"L7F2M246BLIIY7HY","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_8","alias_value":"L7F2M246","created_at":"2026-05-18T12:27:51.066281+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/L7F2M246BLIIY7HYOO2V3SCCRW","json":"https://pith.science/pith/L7F2M246BLIIY7HYOO2V3SCCRW.json","graph_json":"https://pith.science/api/pith-number/L7F2M246BLIIY7HYOO2V3SCCRW/graph.json","events_json":"https://pith.science/api/pith-number/L7F2M246BLIIY7HYOO2V3SCCRW/events.json","paper":"https://pith.science/paper/L7F2M246"},"agent_actions":{"view_html":"https://pith.science/pith/L7F2M246BLIIY7HYOO2V3SCCRW","download_json":"https://pith.science/pith/L7F2M246BLIIY7HYOO2V3SCCRW.json","view_paper":"https://pith.science/paper/L7F2M246","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1301.6885&json=true","fetch_graph":"https://pith.science/api/pith-number/L7F2M246BLIIY7HYOO2V3SCCRW/graph.json","fetch_events":"https://pith.science/api/pith-number/L7F2M246BLIIY7HYOO2V3SCCRW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/L7F2M246BLIIY7HYOO2V3SCCRW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/L7F2M246BLIIY7HYOO2V3SCCRW/action/storage_attestation","attest_author":"https://pith.science/pith/L7F2M246BLIIY7HYOO2V3SCCRW/action/author_attestation","sign_citation":"https://pith.science/pith/L7F2M246BLIIY7HYOO2V3SCCRW/action/citation_signature","submit_replication":"https://pith.science/pith/L7F2M246BLIIY7HYOO2V3SCCRW/action/replication_record"}},"created_at":"2026-05-18T03:35:12.042803+00:00","updated_at":"2026-05-18T03:35:12.042803+00:00"}