{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:DXIP7A5A2SY66JMCAQBUAGKDNL","short_pith_number":"pith:DXIP7A5A","schema_version":"1.0","canonical_sha256":"1dd0ff83a0d4b1ef258204034019436ad56c74201288b6c83a5ac50bc5a52d51","source":{"kind":"arxiv","id":"1107.1303","version":1},"attestation_state":"computed","paper":{"title":"Existence and uniqueness of very singular solutions for a fast diffusion equation with gradient absorption","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Philippe Laurencot (IMT), Razvan Gabriel Iagar (IMAR)","submitted_at":"2011-07-07T06:06:14Z","abstract_excerpt":"Existence and uniqueness of radially symmetric self-similar very singular solutions are proved for the singular diffusion equation with gradient absorption {equation*} \\partial_t u -\\Delta_{p}u+|\\nabla u|^q=0, \\ \\hbox{in} \\ (0,\\infty)\\times\\real^N, {equation*} where $2N/(N+1)"},"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":"1107.1303","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-07-07T06:06:14Z","cross_cats_sorted":[],"title_canon_sha256":"e5e5c20237d2f21f1dc80ee5a2b9f20f9061a3b61856593a7ae2c10fd8743b3b","abstract_canon_sha256":"9b32121485a3aedff9c4d12d95f8386dd8bae526c02bcaec161fbb3bd5cef645"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:14:50.424338Z","signature_b64":"lMJXhaa5blwaS6dX0O3zyGIdsRHl/uhpcBTv6dkmAvtsUuxTsQTWi0kUBSykAx6XHGlQQ0/9yYhfRtt8QudgCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1dd0ff83a0d4b1ef258204034019436ad56c74201288b6c83a5ac50bc5a52d51","last_reissued_at":"2026-05-18T03:14:50.423673Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:14:50.423673Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Existence and uniqueness of very singular solutions for a fast diffusion equation with gradient absorption","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Philippe Laurencot (IMT), Razvan Gabriel Iagar (IMAR)","submitted_at":"2011-07-07T06:06:14Z","abstract_excerpt":"Existence and uniqueness of radially symmetric self-similar very singular solutions are proved for the singular diffusion equation with gradient absorption {equation*} \\partial_t u -\\Delta_{p}u+|\\nabla u|^q=0, \\ \\hbox{in} \\ (0,\\infty)\\times\\real^N, {equation*} where $2N/(N+1)"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.1303","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":"1107.1303","created_at":"2026-05-18T03:14:50.423783+00:00"},{"alias_kind":"arxiv_version","alias_value":"1107.1303v1","created_at":"2026-05-18T03:14:50.423783+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.1303","created_at":"2026-05-18T03:14:50.423783+00:00"},{"alias_kind":"pith_short_12","alias_value":"DXIP7A5A2SY6","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_16","alias_value":"DXIP7A5A2SY66JMC","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_8","alias_value":"DXIP7A5A","created_at":"2026-05-18T12:26:26.731475+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/DXIP7A5A2SY66JMCAQBUAGKDNL","json":"https://pith.science/pith/DXIP7A5A2SY66JMCAQBUAGKDNL.json","graph_json":"https://pith.science/api/pith-number/DXIP7A5A2SY66JMCAQBUAGKDNL/graph.json","events_json":"https://pith.science/api/pith-number/DXIP7A5A2SY66JMCAQBUAGKDNL/events.json","paper":"https://pith.science/paper/DXIP7A5A"},"agent_actions":{"view_html":"https://pith.science/pith/DXIP7A5A2SY66JMCAQBUAGKDNL","download_json":"https://pith.science/pith/DXIP7A5A2SY66JMCAQBUAGKDNL.json","view_paper":"https://pith.science/paper/DXIP7A5A","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1107.1303&json=true","fetch_graph":"https://pith.science/api/pith-number/DXIP7A5A2SY66JMCAQBUAGKDNL/graph.json","fetch_events":"https://pith.science/api/pith-number/DXIP7A5A2SY66JMCAQBUAGKDNL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DXIP7A5A2SY66JMCAQBUAGKDNL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DXIP7A5A2SY66JMCAQBUAGKDNL/action/storage_attestation","attest_author":"https://pith.science/pith/DXIP7A5A2SY66JMCAQBUAGKDNL/action/author_attestation","sign_citation":"https://pith.science/pith/DXIP7A5A2SY66JMCAQBUAGKDNL/action/citation_signature","submit_replication":"https://pith.science/pith/DXIP7A5A2SY66JMCAQBUAGKDNL/action/replication_record"}},"created_at":"2026-05-18T03:14:50.423783+00:00","updated_at":"2026-05-18T03:14:50.423783+00:00"}