{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:SGFU3SWGXOIOX55QAGI4WR4TQD","short_pith_number":"pith:SGFU3SWG","schema_version":"1.0","canonical_sha256":"918b4dcac6bb90ebf7b00191cb479380e8e43297c2ba4cb9c5ef41b085176163","source":{"kind":"arxiv","id":"1705.11054","version":2},"attestation_state":"computed","paper":{"title":"Complex interpolation with Dirichlet boundary conditions on the half line","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.FA","authors_text":"Mark Veraar, Martin Meyries, Nick Lindemulder","submitted_at":"2017-05-31T12:16:39Z","abstract_excerpt":"We prove results on complex interpolation of vector-valued Sobolev spaces over the half-line with Dirichlet boundary condition. Motivated by applications in evolution equations, the results are presented for Banach space-valued Sobolev spaces with a power weight. The proof is based on recent results on pointwise multipliers in Bessel potential spaces, for which we present a new and simpler proof as well. We apply the results to characterize the fractional domain spaces of the first derivative operator on the half line."},"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":"1705.11054","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-05-31T12:16:39Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"70b77ddc58447b155b70198c83f9cd3ab9ca4b87214ba7e99580dea60f8f9ad1","abstract_canon_sha256":"02883613c4f700e99be5d3585ae5331814297e95f1e889c10679b0231bd9dc5d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:22:39.825411Z","signature_b64":"eCTfMiABxQ1ytnJj0K+djXKKuVjRRN5pAf5JiIqd2RBF1M42fLaQHjCZw2RKeG0MNX7DlbcwveglymsR9pamBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"918b4dcac6bb90ebf7b00191cb479380e8e43297c2ba4cb9c5ef41b085176163","last_reissued_at":"2026-05-18T00:22:39.824961Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:22:39.824961Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Complex interpolation with Dirichlet boundary conditions on the half line","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.FA","authors_text":"Mark Veraar, Martin Meyries, Nick Lindemulder","submitted_at":"2017-05-31T12:16:39Z","abstract_excerpt":"We prove results on complex interpolation of vector-valued Sobolev spaces over the half-line with Dirichlet boundary condition. Motivated by applications in evolution equations, the results are presented for Banach space-valued Sobolev spaces with a power weight. The proof is based on recent results on pointwise multipliers in Bessel potential spaces, for which we present a new and simpler proof as well. We apply the results to characterize the fractional domain spaces of the first derivative operator on the half line."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.11054","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":"1705.11054","created_at":"2026-05-18T00:22:39.825030+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.11054v2","created_at":"2026-05-18T00:22:39.825030+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.11054","created_at":"2026-05-18T00:22:39.825030+00:00"},{"alias_kind":"pith_short_12","alias_value":"SGFU3SWGXOIO","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_16","alias_value":"SGFU3SWGXOIOX55Q","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_8","alias_value":"SGFU3SWG","created_at":"2026-05-18T12:31:43.269735+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/SGFU3SWGXOIOX55QAGI4WR4TQD","json":"https://pith.science/pith/SGFU3SWGXOIOX55QAGI4WR4TQD.json","graph_json":"https://pith.science/api/pith-number/SGFU3SWGXOIOX55QAGI4WR4TQD/graph.json","events_json":"https://pith.science/api/pith-number/SGFU3SWGXOIOX55QAGI4WR4TQD/events.json","paper":"https://pith.science/paper/SGFU3SWG"},"agent_actions":{"view_html":"https://pith.science/pith/SGFU3SWGXOIOX55QAGI4WR4TQD","download_json":"https://pith.science/pith/SGFU3SWGXOIOX55QAGI4WR4TQD.json","view_paper":"https://pith.science/paper/SGFU3SWG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.11054&json=true","fetch_graph":"https://pith.science/api/pith-number/SGFU3SWGXOIOX55QAGI4WR4TQD/graph.json","fetch_events":"https://pith.science/api/pith-number/SGFU3SWGXOIOX55QAGI4WR4TQD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SGFU3SWGXOIOX55QAGI4WR4TQD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SGFU3SWGXOIOX55QAGI4WR4TQD/action/storage_attestation","attest_author":"https://pith.science/pith/SGFU3SWGXOIOX55QAGI4WR4TQD/action/author_attestation","sign_citation":"https://pith.science/pith/SGFU3SWGXOIOX55QAGI4WR4TQD/action/citation_signature","submit_replication":"https://pith.science/pith/SGFU3SWGXOIOX55QAGI4WR4TQD/action/replication_record"}},"created_at":"2026-05-18T00:22:39.825030+00:00","updated_at":"2026-05-18T00:22:39.825030+00:00"}