{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:NSBIQT3YWHDVMNYCADNSO24XDL","short_pith_number":"pith:NSBIQT3Y","schema_version":"1.0","canonical_sha256":"6c82884f78b1c756370200db276b971afdca76f2e8a5171e3d19bd52caff5183","source":{"kind":"arxiv","id":"2510.02112","version":2},"attestation_state":"computed","paper":{"title":"Low regularity Sobolev well-posedness for Vlasov--Poisson","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"In-Jee Jeong, Sangwook Tae","submitted_at":"2025-10-02T15:20:55Z","abstract_excerpt":"We consider the Vlasov--Poisson equation on $\\mathbb{R}^n \\times \\mathbb{R}^n$ with $n \\ge 3$. We prove local well-posedness in $H^{s}(\\mathbb{R}^n \\times \\mathbb{R}^n)$ with $s> n/2-1/4$, for initial distribution $f_{0} \\in H^{s}(\\mathbb{R}^n \\times \\mathbb{R}^n)$ having compact support in $v$. In particular, data not belonging to $L^p(\\mathbb{R}^n \\times \\mathbb{R}^n)$ for large $p$ are allowed."},"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":"2510.02112","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2025-10-02T15:20:55Z","cross_cats_sorted":[],"title_canon_sha256":"915b85352085ad269b7f40dfd1dd31ab1aa189c44486a1dae84a426d0c7ce899","abstract_canon_sha256":"ee4d1583546c1ca2c459946e5f3ac9c6e1599bed6892fe389e5d153babec9c89"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-23T02:12:33.683918Z","signature_b64":"WsEcewaMKBxQB5ZQHCjI4cSWXva4KmrvufBcUYMszPqygRb4YrqH2j+AAAwluWuesxJ3KCTNhMsQB6dafk3pAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6c82884f78b1c756370200db276b971afdca76f2e8a5171e3d19bd52caff5183","last_reissued_at":"2026-06-23T02:12:33.683454Z","signature_status":"signed_v1","first_computed_at":"2026-06-23T02:12:33.683454Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Low regularity Sobolev well-posedness for Vlasov--Poisson","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"In-Jee Jeong, Sangwook Tae","submitted_at":"2025-10-02T15:20:55Z","abstract_excerpt":"We consider the Vlasov--Poisson equation on $\\mathbb{R}^n \\times \\mathbb{R}^n$ with $n \\ge 3$. We prove local well-posedness in $H^{s}(\\mathbb{R}^n \\times \\mathbb{R}^n)$ with $s> n/2-1/4$, for initial distribution $f_{0} \\in H^{s}(\\mathbb{R}^n \\times \\mathbb{R}^n)$ having compact support in $v$. In particular, data not belonging to $L^p(\\mathbb{R}^n \\times \\mathbb{R}^n)$ for large $p$ are allowed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2510.02112","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2510.02112/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":"2510.02112","created_at":"2026-06-23T02:12:33.683511+00:00"},{"alias_kind":"arxiv_version","alias_value":"2510.02112v2","created_at":"2026-06-23T02:12:33.683511+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2510.02112","created_at":"2026-06-23T02:12:33.683511+00:00"},{"alias_kind":"pith_short_12","alias_value":"NSBIQT3YWHDV","created_at":"2026-06-23T02:12:33.683511+00:00"},{"alias_kind":"pith_short_16","alias_value":"NSBIQT3YWHDVMNYC","created_at":"2026-06-23T02:12:33.683511+00:00"},{"alias_kind":"pith_short_8","alias_value":"NSBIQT3Y","created_at":"2026-06-23T02:12:33.683511+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/NSBIQT3YWHDVMNYCADNSO24XDL","json":"https://pith.science/pith/NSBIQT3YWHDVMNYCADNSO24XDL.json","graph_json":"https://pith.science/api/pith-number/NSBIQT3YWHDVMNYCADNSO24XDL/graph.json","events_json":"https://pith.science/api/pith-number/NSBIQT3YWHDVMNYCADNSO24XDL/events.json","paper":"https://pith.science/paper/NSBIQT3Y"},"agent_actions":{"view_html":"https://pith.science/pith/NSBIQT3YWHDVMNYCADNSO24XDL","download_json":"https://pith.science/pith/NSBIQT3YWHDVMNYCADNSO24XDL.json","view_paper":"https://pith.science/paper/NSBIQT3Y","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2510.02112&json=true","fetch_graph":"https://pith.science/api/pith-number/NSBIQT3YWHDVMNYCADNSO24XDL/graph.json","fetch_events":"https://pith.science/api/pith-number/NSBIQT3YWHDVMNYCADNSO24XDL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NSBIQT3YWHDVMNYCADNSO24XDL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NSBIQT3YWHDVMNYCADNSO24XDL/action/storage_attestation","attest_author":"https://pith.science/pith/NSBIQT3YWHDVMNYCADNSO24XDL/action/author_attestation","sign_citation":"https://pith.science/pith/NSBIQT3YWHDVMNYCADNSO24XDL/action/citation_signature","submit_replication":"https://pith.science/pith/NSBIQT3YWHDVMNYCADNSO24XDL/action/replication_record"}},"created_at":"2026-06-23T02:12:33.683511+00:00","updated_at":"2026-06-23T02:12:33.683511+00:00"}