{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:BPQJBITWROPU33O7CKJ7NMOHT3","short_pith_number":"pith:BPQJBITW","schema_version":"1.0","canonical_sha256":"0be090a2768b9f4deddf1293f6b1c79ec259378ec59f53004ba623f19d2feb53","source":{"kind":"arxiv","id":"1804.01628","version":1},"attestation_state":"computed","paper":{"title":"New lower bounds on the radius of spatial analyticity for the KdV equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Jianhua Huang, Ming Wang","submitted_at":"2018-04-04T23:53:35Z","abstract_excerpt":"The radius of spatial analyticity for solutions of the KdV equation is studied. It is shown that the analyticity radius does not decay faster than $t^{-1/4}$ as time $t$ goes to infinity. This improves the works [Selberg, da Silva, Lower bounds on the radius of spatial analyticity for the KdV equation, Annales Henri Poincar\\'{e}, 2017, 18(3): 1009-1023] and [Tesfahun, Asymptotic lower bound for the radius of spatial analtyicity to solutions of KdV equation, arXiv preprint arXiv:1707.07810, 2017]. Our strategy mainly relies on a higher order almost conservation law in Gevrey spaces, which is in"},"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":"1804.01628","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-04-04T23:53:35Z","cross_cats_sorted":[],"title_canon_sha256":"6d9035d680f537fd03c45c7bd6f8c9b0fe66b9c73eda6ff28bd697d2cb201ff1","abstract_canon_sha256":"764912bab03c4ff416850d0cf9aa107c36f4ac6c20b0be41c05870ec8be38e7c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:19:10.632221Z","signature_b64":"RPRF8/ZekkdHEKRmWjbfR3HrwlHQafoTdGYW3vzgl6SZ7kB0YH/laPnTrcUpyUytTwf9d7MIlOKJHw2lWChABA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0be090a2768b9f4deddf1293f6b1c79ec259378ec59f53004ba623f19d2feb53","last_reissued_at":"2026-05-18T00:19:10.631712Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:19:10.631712Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"New lower bounds on the radius of spatial analyticity for the KdV equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Jianhua Huang, Ming Wang","submitted_at":"2018-04-04T23:53:35Z","abstract_excerpt":"The radius of spatial analyticity for solutions of the KdV equation is studied. It is shown that the analyticity radius does not decay faster than $t^{-1/4}$ as time $t$ goes to infinity. This improves the works [Selberg, da Silva, Lower bounds on the radius of spatial analyticity for the KdV equation, Annales Henri Poincar\\'{e}, 2017, 18(3): 1009-1023] and [Tesfahun, Asymptotic lower bound for the radius of spatial analtyicity to solutions of KdV equation, arXiv preprint arXiv:1707.07810, 2017]. Our strategy mainly relies on a higher order almost conservation law in Gevrey spaces, which is in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.01628","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":"1804.01628","created_at":"2026-05-18T00:19:10.631794+00:00"},{"alias_kind":"arxiv_version","alias_value":"1804.01628v1","created_at":"2026-05-18T00:19:10.631794+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.01628","created_at":"2026-05-18T00:19:10.631794+00:00"},{"alias_kind":"pith_short_12","alias_value":"BPQJBITWROPU","created_at":"2026-05-18T12:32:16.446611+00:00"},{"alias_kind":"pith_short_16","alias_value":"BPQJBITWROPU33O7","created_at":"2026-05-18T12:32:16.446611+00:00"},{"alias_kind":"pith_short_8","alias_value":"BPQJBITW","created_at":"2026-05-18T12:32:16.446611+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/BPQJBITWROPU33O7CKJ7NMOHT3","json":"https://pith.science/pith/BPQJBITWROPU33O7CKJ7NMOHT3.json","graph_json":"https://pith.science/api/pith-number/BPQJBITWROPU33O7CKJ7NMOHT3/graph.json","events_json":"https://pith.science/api/pith-number/BPQJBITWROPU33O7CKJ7NMOHT3/events.json","paper":"https://pith.science/paper/BPQJBITW"},"agent_actions":{"view_html":"https://pith.science/pith/BPQJBITWROPU33O7CKJ7NMOHT3","download_json":"https://pith.science/pith/BPQJBITWROPU33O7CKJ7NMOHT3.json","view_paper":"https://pith.science/paper/BPQJBITW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1804.01628&json=true","fetch_graph":"https://pith.science/api/pith-number/BPQJBITWROPU33O7CKJ7NMOHT3/graph.json","fetch_events":"https://pith.science/api/pith-number/BPQJBITWROPU33O7CKJ7NMOHT3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BPQJBITWROPU33O7CKJ7NMOHT3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BPQJBITWROPU33O7CKJ7NMOHT3/action/storage_attestation","attest_author":"https://pith.science/pith/BPQJBITWROPU33O7CKJ7NMOHT3/action/author_attestation","sign_citation":"https://pith.science/pith/BPQJBITWROPU33O7CKJ7NMOHT3/action/citation_signature","submit_replication":"https://pith.science/pith/BPQJBITWROPU33O7CKJ7NMOHT3/action/replication_record"}},"created_at":"2026-05-18T00:19:10.631794+00:00","updated_at":"2026-05-18T00:19:10.631794+00:00"}