{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:Y75O5BQ5ZWBDOXX6Y5L56UXGTU","short_pith_number":"pith:Y75O5BQ5","schema_version":"1.0","canonical_sha256":"c7faee861dcd82375efec757df52e69d23bf0d9d076f8e3f70e312c2e97d8600","source":{"kind":"arxiv","id":"1409.2483","version":2},"attestation_state":"computed","paper":{"title":"Non-splat singularity for the one-phase Muskat problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Diego C\\'ordoba, Tania Pernas-Casta\\~no","submitted_at":"2014-09-09T14:50:48Z","abstract_excerpt":"For the water waves equations, the existence of splat singularities has been shown in [3], i.e., the interface self-intersects along an arc in finite time. The aim of this paper is to show the absence of splat singularities for the incompressible fluid dynamics in porous media."},"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":"1409.2483","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-09-09T14:50:48Z","cross_cats_sorted":[],"title_canon_sha256":"97503d85c9eb0605e2a1ce7d0e5ab1ff4f4ec59813833163e787459a0303951e","abstract_canon_sha256":"d177f0c928d0ba5f833f7e23bee34346657da71b7aa39d8b9aa653a0ce281a99"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:26:38.776451Z","signature_b64":"n1ZsMHHCxSr0kEy+KFSkqUj2GdCwUTIJ/e36Uhzb53/lr6b/P59R0DfsP9kJAnZODAR5gtBxRHxFynG5lHhcDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c7faee861dcd82375efec757df52e69d23bf0d9d076f8e3f70e312c2e97d8600","last_reissued_at":"2026-05-18T02:26:38.775954Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:26:38.775954Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-splat singularity for the one-phase Muskat problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Diego C\\'ordoba, Tania Pernas-Casta\\~no","submitted_at":"2014-09-09T14:50:48Z","abstract_excerpt":"For the water waves equations, the existence of splat singularities has been shown in [3], i.e., the interface self-intersects along an arc in finite time. The aim of this paper is to show the absence of splat singularities for the incompressible fluid dynamics in porous media."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.2483","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":"1409.2483","created_at":"2026-05-18T02:26:38.776035+00:00"},{"alias_kind":"arxiv_version","alias_value":"1409.2483v2","created_at":"2026-05-18T02:26:38.776035+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.2483","created_at":"2026-05-18T02:26:38.776035+00:00"},{"alias_kind":"pith_short_12","alias_value":"Y75O5BQ5ZWBD","created_at":"2026-05-18T12:28:57.508820+00:00"},{"alias_kind":"pith_short_16","alias_value":"Y75O5BQ5ZWBDOXX6","created_at":"2026-05-18T12:28:57.508820+00:00"},{"alias_kind":"pith_short_8","alias_value":"Y75O5BQ5","created_at":"2026-05-18T12:28:57.508820+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/Y75O5BQ5ZWBDOXX6Y5L56UXGTU","json":"https://pith.science/pith/Y75O5BQ5ZWBDOXX6Y5L56UXGTU.json","graph_json":"https://pith.science/api/pith-number/Y75O5BQ5ZWBDOXX6Y5L56UXGTU/graph.json","events_json":"https://pith.science/api/pith-number/Y75O5BQ5ZWBDOXX6Y5L56UXGTU/events.json","paper":"https://pith.science/paper/Y75O5BQ5"},"agent_actions":{"view_html":"https://pith.science/pith/Y75O5BQ5ZWBDOXX6Y5L56UXGTU","download_json":"https://pith.science/pith/Y75O5BQ5ZWBDOXX6Y5L56UXGTU.json","view_paper":"https://pith.science/paper/Y75O5BQ5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1409.2483&json=true","fetch_graph":"https://pith.science/api/pith-number/Y75O5BQ5ZWBDOXX6Y5L56UXGTU/graph.json","fetch_events":"https://pith.science/api/pith-number/Y75O5BQ5ZWBDOXX6Y5L56UXGTU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Y75O5BQ5ZWBDOXX6Y5L56UXGTU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Y75O5BQ5ZWBDOXX6Y5L56UXGTU/action/storage_attestation","attest_author":"https://pith.science/pith/Y75O5BQ5ZWBDOXX6Y5L56UXGTU/action/author_attestation","sign_citation":"https://pith.science/pith/Y75O5BQ5ZWBDOXX6Y5L56UXGTU/action/citation_signature","submit_replication":"https://pith.science/pith/Y75O5BQ5ZWBDOXX6Y5L56UXGTU/action/replication_record"}},"created_at":"2026-05-18T02:26:38.776035+00:00","updated_at":"2026-05-18T02:26:38.776035+00:00"}