{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:MLYL3OSJAMNANUN3CDKRN7R72E","short_pith_number":"pith:MLYL3OSJ","schema_version":"1.0","canonical_sha256":"62f0bdba49031a06d1bb10d516fe3fd11e830cfe1e04c2dbca0d8746873eb546","source":{"kind":"arxiv","id":"0812.1579","version":2},"attestation_state":"computed","paper":{"title":"Explicit soliton asymptotics for the Korteweg-de Vries equation on the half-line","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.PS"],"primary_cat":"nlin.SI","authors_text":"A. S. Fokas, J. Lenells","submitted_at":"2008-12-08T14:57:48Z","abstract_excerpt":"Integrable PDEs on the line can be analyzed by the so-called Inverse Scattering Transform (IST) method. A particularly powerful aspect of the IST is its ability to predict the large $t$ behavior of the solution. Namely, starting with initial data $u(x,0)$, IST implies that the solution $u(x,t)$ asymptotes to a collection of solitons as $t \\to \\infty$, $x/t = O(1)$; moreover the shapes and speeds of these solitons can be computed from $u(x,0)$ using only {\\it linear} operations. One of the most important developments in this area has been the generalization of the IST from initial to initial-bo"},"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":"0812.1579","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2008-12-08T14:57:48Z","cross_cats_sorted":["nlin.PS"],"title_canon_sha256":"38c3a912032272b08899993d5dafd8f72cf36184d130f4554ae46f2503fdd7b8","abstract_canon_sha256":"f42fb894c499be74f27ca36701117f9376b33137f1a3a1ebc62d832788c97b0f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:24:56.725952Z","signature_b64":"1NAW0ynwp+3Xkx0xnKYNFIeiFjE/wclc9h36e8FEkO2GBLXYo2HfMecaAz/QNaw9lcGEQygEv52ZxsPLvDy6Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"62f0bdba49031a06d1bb10d516fe3fd11e830cfe1e04c2dbca0d8746873eb546","last_reissued_at":"2026-05-18T02:24:56.725238Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:24:56.725238Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Explicit soliton asymptotics for the Korteweg-de Vries equation on the half-line","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.PS"],"primary_cat":"nlin.SI","authors_text":"A. S. Fokas, J. Lenells","submitted_at":"2008-12-08T14:57:48Z","abstract_excerpt":"Integrable PDEs on the line can be analyzed by the so-called Inverse Scattering Transform (IST) method. A particularly powerful aspect of the IST is its ability to predict the large $t$ behavior of the solution. Namely, starting with initial data $u(x,0)$, IST implies that the solution $u(x,t)$ asymptotes to a collection of solitons as $t \\to \\infty$, $x/t = O(1)$; moreover the shapes and speeds of these solitons can be computed from $u(x,0)$ using only {\\it linear} operations. One of the most important developments in this area has been the generalization of the IST from initial to initial-bo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.1579","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":"0812.1579","created_at":"2026-05-18T02:24:56.725358+00:00"},{"alias_kind":"arxiv_version","alias_value":"0812.1579v2","created_at":"2026-05-18T02:24:56.725358+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0812.1579","created_at":"2026-05-18T02:24:56.725358+00:00"},{"alias_kind":"pith_short_12","alias_value":"MLYL3OSJAMNA","created_at":"2026-05-18T12:25:57.157939+00:00"},{"alias_kind":"pith_short_16","alias_value":"MLYL3OSJAMNANUN3","created_at":"2026-05-18T12:25:57.157939+00:00"},{"alias_kind":"pith_short_8","alias_value":"MLYL3OSJ","created_at":"2026-05-18T12:25:57.157939+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/MLYL3OSJAMNANUN3CDKRN7R72E","json":"https://pith.science/pith/MLYL3OSJAMNANUN3CDKRN7R72E.json","graph_json":"https://pith.science/api/pith-number/MLYL3OSJAMNANUN3CDKRN7R72E/graph.json","events_json":"https://pith.science/api/pith-number/MLYL3OSJAMNANUN3CDKRN7R72E/events.json","paper":"https://pith.science/paper/MLYL3OSJ"},"agent_actions":{"view_html":"https://pith.science/pith/MLYL3OSJAMNANUN3CDKRN7R72E","download_json":"https://pith.science/pith/MLYL3OSJAMNANUN3CDKRN7R72E.json","view_paper":"https://pith.science/paper/MLYL3OSJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0812.1579&json=true","fetch_graph":"https://pith.science/api/pith-number/MLYL3OSJAMNANUN3CDKRN7R72E/graph.json","fetch_events":"https://pith.science/api/pith-number/MLYL3OSJAMNANUN3CDKRN7R72E/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MLYL3OSJAMNANUN3CDKRN7R72E/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MLYL3OSJAMNANUN3CDKRN7R72E/action/storage_attestation","attest_author":"https://pith.science/pith/MLYL3OSJAMNANUN3CDKRN7R72E/action/author_attestation","sign_citation":"https://pith.science/pith/MLYL3OSJAMNANUN3CDKRN7R72E/action/citation_signature","submit_replication":"https://pith.science/pith/MLYL3OSJAMNANUN3CDKRN7R72E/action/replication_record"}},"created_at":"2026-05-18T02:24:56.725358+00:00","updated_at":"2026-05-18T02:24:56.725358+00:00"}