{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:JWLQW6BX7TCF4JQSC6JDS2X5UK","short_pith_number":"pith:JWLQW6BX","schema_version":"1.0","canonical_sha256":"4d970b7837fcc45e26121792396afda2916f9c5d9a6b7bc020b04f5eb46062cb","source":{"kind":"arxiv","id":"2504.19663","version":1},"attestation_state":"computed","paper":{"title":"The Boussinesq equation on the half-line","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Christophe Charlier","submitted_at":"2025-04-28T10:21:54Z","abstract_excerpt":"We study the initial-boundary value problem for the Boussinesq equation on the half-line. Assuming that the solution exists, we prove that it can be recovered from its initial-boundary values via the solution of a $3\\times 3$ Riemann-Hilbert problem. The contour consists of $18$ arcs on the unit circle, $18$ segments and $18$ half-lines, and the associated jump matrices involve $9$ reflection coefficients."},"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":"2504.19663","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2025-04-28T10:21:54Z","cross_cats_sorted":[],"title_canon_sha256":"d0ffe48f6be3dd9f80fba8b86b18fac1df38cc6e3d03bd873c686d510b8b9ed4","abstract_canon_sha256":"c4a1db98f585eb160ed19aa8d215ae86c9ea848c3d8ec7e11fd2babee71c4e74"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:55:01.068278Z","signature_b64":"NwIoYGqp7mBS+dzzotGTqgnl3ekWO6A7dW8WEgYM6tbMNHjP6MjnSf6TNSjUKFTdtsEBwvFunnDDBbL3q8frCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4d970b7837fcc45e26121792396afda2916f9c5d9a6b7bc020b04f5eb46062cb","last_reissued_at":"2026-07-05T10:55:01.067794Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:55:01.067794Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Boussinesq equation on the half-line","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Christophe Charlier","submitted_at":"2025-04-28T10:21:54Z","abstract_excerpt":"We study the initial-boundary value problem for the Boussinesq equation on the half-line. Assuming that the solution exists, we prove that it can be recovered from its initial-boundary values via the solution of a $3\\times 3$ Riemann-Hilbert problem. The contour consists of $18$ arcs on the unit circle, $18$ segments and $18$ half-lines, and the associated jump matrices involve $9$ reflection coefficients."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.19663","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2504.19663/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2504.19663","created_at":"2026-07-05T10:55:01.067858+00:00"},{"alias_kind":"arxiv_version","alias_value":"2504.19663v1","created_at":"2026-07-05T10:55:01.067858+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.19663","created_at":"2026-07-05T10:55:01.067858+00:00"},{"alias_kind":"pith_short_12","alias_value":"JWLQW6BX7TCF","created_at":"2026-07-05T10:55:01.067858+00:00"},{"alias_kind":"pith_short_16","alias_value":"JWLQW6BX7TCF4JQS","created_at":"2026-07-05T10:55:01.067858+00:00"},{"alias_kind":"pith_short_8","alias_value":"JWLQW6BX","created_at":"2026-07-05T10:55:01.067858+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/JWLQW6BX7TCF4JQSC6JDS2X5UK","json":"https://pith.science/pith/JWLQW6BX7TCF4JQSC6JDS2X5UK.json","graph_json":"https://pith.science/api/pith-number/JWLQW6BX7TCF4JQSC6JDS2X5UK/graph.json","events_json":"https://pith.science/api/pith-number/JWLQW6BX7TCF4JQSC6JDS2X5UK/events.json","paper":"https://pith.science/paper/JWLQW6BX"},"agent_actions":{"view_html":"https://pith.science/pith/JWLQW6BX7TCF4JQSC6JDS2X5UK","download_json":"https://pith.science/pith/JWLQW6BX7TCF4JQSC6JDS2X5UK.json","view_paper":"https://pith.science/paper/JWLQW6BX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2504.19663&json=true","fetch_graph":"https://pith.science/api/pith-number/JWLQW6BX7TCF4JQSC6JDS2X5UK/graph.json","fetch_events":"https://pith.science/api/pith-number/JWLQW6BX7TCF4JQSC6JDS2X5UK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JWLQW6BX7TCF4JQSC6JDS2X5UK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JWLQW6BX7TCF4JQSC6JDS2X5UK/action/storage_attestation","attest_author":"https://pith.science/pith/JWLQW6BX7TCF4JQSC6JDS2X5UK/action/author_attestation","sign_citation":"https://pith.science/pith/JWLQW6BX7TCF4JQSC6JDS2X5UK/action/citation_signature","submit_replication":"https://pith.science/pith/JWLQW6BX7TCF4JQSC6JDS2X5UK/action/replication_record"}},"created_at":"2026-07-05T10:55:01.067858+00:00","updated_at":"2026-07-05T10:55:01.067858+00:00"}