{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:DJYWJTLF5UOR2URZ66KES7HXDT","short_pith_number":"pith:DJYWJTLF","schema_version":"1.0","canonical_sha256":"1a7164cd65ed1d1d5239f794497cf71cd730279ded87eda6e7cb4a450f1b8124","source":{"kind":"arxiv","id":"1404.5904","version":2},"attestation_state":"computed","paper":{"title":"Some remarks on the radius of spatial analyticity for the Euler equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Fabio Nicola, Marco Cappiello","submitted_at":"2014-04-23T17:30:14Z","abstract_excerpt":"We consider the Euler equations on $\\mathbb{T}^d$ with analytic data and prove lower bounds for the radius of spatial analyticity $\\epsilon(t)$ of the solution using a new method based on inductive estimates in standard Sobolev spaces. Our results are consistent with similar previous results proved by Kukavica and Vicol, but give a more precise dependence of $\\epsilon(t)$ on the radius of analyticity of the initial datum."},"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":"1404.5904","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-04-23T17:30:14Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"97e8b2fb5e86eb25f8fb977d57a8665ca38822a9d6b94e3cdd7f6d755830a8ac","abstract_canon_sha256":"2b401b06cb3773de0dee02aa76d95b940e7ed61d26f55308bb826d8a62687348"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:26:52.909565Z","signature_b64":"nHKiiqhBni2zQk2C72sDP+/6UV1TWPm35A6M4LulS+ixD7xNGclM/TbwOakAvBegR0YxJLSxWfhqG2dZTgVkCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1a7164cd65ed1d1d5239f794497cf71cd730279ded87eda6e7cb4a450f1b8124","last_reissued_at":"2026-05-18T02:26:52.908980Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:26:52.908980Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Some remarks on the radius of spatial analyticity for the Euler equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Fabio Nicola, Marco Cappiello","submitted_at":"2014-04-23T17:30:14Z","abstract_excerpt":"We consider the Euler equations on $\\mathbb{T}^d$ with analytic data and prove lower bounds for the radius of spatial analyticity $\\epsilon(t)$ of the solution using a new method based on inductive estimates in standard Sobolev spaces. Our results are consistent with similar previous results proved by Kukavica and Vicol, but give a more precise dependence of $\\epsilon(t)$ on the radius of analyticity of the initial datum."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.5904","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":"1404.5904","created_at":"2026-05-18T02:26:52.909067+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.5904v2","created_at":"2026-05-18T02:26:52.909067+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.5904","created_at":"2026-05-18T02:26:52.909067+00:00"},{"alias_kind":"pith_short_12","alias_value":"DJYWJTLF5UOR","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_16","alias_value":"DJYWJTLF5UOR2URZ","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_8","alias_value":"DJYWJTLF","created_at":"2026-05-18T12:28:25.294606+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/DJYWJTLF5UOR2URZ66KES7HXDT","json":"https://pith.science/pith/DJYWJTLF5UOR2URZ66KES7HXDT.json","graph_json":"https://pith.science/api/pith-number/DJYWJTLF5UOR2URZ66KES7HXDT/graph.json","events_json":"https://pith.science/api/pith-number/DJYWJTLF5UOR2URZ66KES7HXDT/events.json","paper":"https://pith.science/paper/DJYWJTLF"},"agent_actions":{"view_html":"https://pith.science/pith/DJYWJTLF5UOR2URZ66KES7HXDT","download_json":"https://pith.science/pith/DJYWJTLF5UOR2URZ66KES7HXDT.json","view_paper":"https://pith.science/paper/DJYWJTLF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.5904&json=true","fetch_graph":"https://pith.science/api/pith-number/DJYWJTLF5UOR2URZ66KES7HXDT/graph.json","fetch_events":"https://pith.science/api/pith-number/DJYWJTLF5UOR2URZ66KES7HXDT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DJYWJTLF5UOR2URZ66KES7HXDT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DJYWJTLF5UOR2URZ66KES7HXDT/action/storage_attestation","attest_author":"https://pith.science/pith/DJYWJTLF5UOR2URZ66KES7HXDT/action/author_attestation","sign_citation":"https://pith.science/pith/DJYWJTLF5UOR2URZ66KES7HXDT/action/citation_signature","submit_replication":"https://pith.science/pith/DJYWJTLF5UOR2URZ66KES7HXDT/action/replication_record"}},"created_at":"2026-05-18T02:26:52.909067+00:00","updated_at":"2026-05-18T02:26:52.909067+00:00"}