{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:X47XYITSVDZSUGM5SUKTXFK4QI","short_pith_number":"pith:X47XYITS","schema_version":"1.0","canonical_sha256":"bf3f7c2272a8f32a199d95153b955c8213f5527a6c7b4d0a89e557504f91b7bf","source":{"kind":"arxiv","id":"0902.1582","version":2},"attestation_state":"computed","paper":{"title":"A sharp local blow-up condition for Euler-Poisson equations with attractive forcing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Bin Cheng, Eitan Tadmor","submitted_at":"2009-02-10T05:33:04Z","abstract_excerpt":"We improve the recent result of Chae & Tadmor in [Comm. Math. Sci. 6(3) (2008) 785-789], proving a one-sided threshold condition which leads to finite-time breakdown of the Euler-Poisson equations in arbitrary dimension n."},"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":"0902.1582","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2009-02-10T05:33:04Z","cross_cats_sorted":[],"title_canon_sha256":"ffaf8a3a5f725a83a4f79ea9dd7bee1252b1250d04844fb4418fe32fbc7a9a44","abstract_canon_sha256":"fab5082d61b743c4c51fd6484047e9f37b6906fb5e81949ee6c676bb9f9aed91"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:14:48.563894Z","signature_b64":"RrGaiE26I+8en3TvC78EH66WtdZ6uLSf9NQ81/3ulI2Tq2UMEU5pCEKvUuidhzrP45zYlrIpbUrF4hPgjxKmAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bf3f7c2272a8f32a199d95153b955c8213f5527a6c7b4d0a89e557504f91b7bf","last_reissued_at":"2026-05-18T02:14:48.563254Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:14:48.563254Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A sharp local blow-up condition for Euler-Poisson equations with attractive forcing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Bin Cheng, Eitan Tadmor","submitted_at":"2009-02-10T05:33:04Z","abstract_excerpt":"We improve the recent result of Chae & Tadmor in [Comm. Math. Sci. 6(3) (2008) 785-789], proving a one-sided threshold condition which leads to finite-time breakdown of the Euler-Poisson equations in arbitrary dimension n."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0902.1582","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":"0902.1582","created_at":"2026-05-18T02:14:48.563360+00:00"},{"alias_kind":"arxiv_version","alias_value":"0902.1582v2","created_at":"2026-05-18T02:14:48.563360+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0902.1582","created_at":"2026-05-18T02:14:48.563360+00:00"},{"alias_kind":"pith_short_12","alias_value":"X47XYITSVDZS","created_at":"2026-05-18T12:26:02.257875+00:00"},{"alias_kind":"pith_short_16","alias_value":"X47XYITSVDZSUGM5","created_at":"2026-05-18T12:26:02.257875+00:00"},{"alias_kind":"pith_short_8","alias_value":"X47XYITS","created_at":"2026-05-18T12:26:02.257875+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/X47XYITSVDZSUGM5SUKTXFK4QI","json":"https://pith.science/pith/X47XYITSVDZSUGM5SUKTXFK4QI.json","graph_json":"https://pith.science/api/pith-number/X47XYITSVDZSUGM5SUKTXFK4QI/graph.json","events_json":"https://pith.science/api/pith-number/X47XYITSVDZSUGM5SUKTXFK4QI/events.json","paper":"https://pith.science/paper/X47XYITS"},"agent_actions":{"view_html":"https://pith.science/pith/X47XYITSVDZSUGM5SUKTXFK4QI","download_json":"https://pith.science/pith/X47XYITSVDZSUGM5SUKTXFK4QI.json","view_paper":"https://pith.science/paper/X47XYITS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0902.1582&json=true","fetch_graph":"https://pith.science/api/pith-number/X47XYITSVDZSUGM5SUKTXFK4QI/graph.json","fetch_events":"https://pith.science/api/pith-number/X47XYITSVDZSUGM5SUKTXFK4QI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/X47XYITSVDZSUGM5SUKTXFK4QI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/X47XYITSVDZSUGM5SUKTXFK4QI/action/storage_attestation","attest_author":"https://pith.science/pith/X47XYITSVDZSUGM5SUKTXFK4QI/action/author_attestation","sign_citation":"https://pith.science/pith/X47XYITSVDZSUGM5SUKTXFK4QI/action/citation_signature","submit_replication":"https://pith.science/pith/X47XYITSVDZSUGM5SUKTXFK4QI/action/replication_record"}},"created_at":"2026-05-18T02:14:48.563360+00:00","updated_at":"2026-05-18T02:14:48.563360+00:00"}