{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:LIBDGDNI6YNGL4R5EWXK2G2DDD","short_pith_number":"pith:LIBDGDNI","schema_version":"1.0","canonical_sha256":"5a02330da8f61a65f23d25aead1b4318efbc6016bea02cd2f86db3527c747dcb","source":{"kind":"arxiv","id":"1804.00985","version":3},"attestation_state":"computed","paper":{"title":"Note for global existence of semilinear heat equation in weighted $L^\\infty$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Kazumasa Fujiwara, Tohru Ozawa, Vladimir Georgiev","submitted_at":"2018-04-03T14:18:37Z","abstract_excerpt":"The local and global existence of the Cauchy problem for semilinear heat equations with small data is studied in the weighted $L^\\infty (\\mathbb R^n)$ framework by a simple contraction argument. The contraction argument is based on a weighted uniform control of solutions related with the free solutions and the first iterations for the initial data of negative power."},"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":"1804.00985","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-04-03T14:18:37Z","cross_cats_sorted":[],"title_canon_sha256":"169d41c99a2e5ee8768b6be0343a6a89f2b1dfbfa753dd56830d7f12c56030f5","abstract_canon_sha256":"068450c2a0d1f5456a9a9c41220abba40133e45f2962445ef80c8a3e9592a0b9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:17:32.690757Z","signature_b64":"GYxFtRmgQ1Ni6ZW6B/3WIlTCb46h6NU2cZ2761wDhTuf9aTX0pj54QL0pbB2lZlZP13MlUKbQM6IBoaIch/bBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5a02330da8f61a65f23d25aead1b4318efbc6016bea02cd2f86db3527c747dcb","last_reissued_at":"2026-05-18T00:17:32.690162Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:17:32.690162Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Note for global existence of semilinear heat equation in weighted $L^\\infty$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Kazumasa Fujiwara, Tohru Ozawa, Vladimir Georgiev","submitted_at":"2018-04-03T14:18:37Z","abstract_excerpt":"The local and global existence of the Cauchy problem for semilinear heat equations with small data is studied in the weighted $L^\\infty (\\mathbb R^n)$ framework by a simple contraction argument. The contraction argument is based on a weighted uniform control of solutions related with the free solutions and the first iterations for the initial data of negative power."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.00985","kind":"arxiv","version":3},"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":"1804.00985","created_at":"2026-05-18T00:17:32.690252+00:00"},{"alias_kind":"arxiv_version","alias_value":"1804.00985v3","created_at":"2026-05-18T00:17:32.690252+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.00985","created_at":"2026-05-18T00:17:32.690252+00:00"},{"alias_kind":"pith_short_12","alias_value":"LIBDGDNI6YNG","created_at":"2026-05-18T12:32:37.024351+00:00"},{"alias_kind":"pith_short_16","alias_value":"LIBDGDNI6YNGL4R5","created_at":"2026-05-18T12:32:37.024351+00:00"},{"alias_kind":"pith_short_8","alias_value":"LIBDGDNI","created_at":"2026-05-18T12:32:37.024351+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/LIBDGDNI6YNGL4R5EWXK2G2DDD","json":"https://pith.science/pith/LIBDGDNI6YNGL4R5EWXK2G2DDD.json","graph_json":"https://pith.science/api/pith-number/LIBDGDNI6YNGL4R5EWXK2G2DDD/graph.json","events_json":"https://pith.science/api/pith-number/LIBDGDNI6YNGL4R5EWXK2G2DDD/events.json","paper":"https://pith.science/paper/LIBDGDNI"},"agent_actions":{"view_html":"https://pith.science/pith/LIBDGDNI6YNGL4R5EWXK2G2DDD","download_json":"https://pith.science/pith/LIBDGDNI6YNGL4R5EWXK2G2DDD.json","view_paper":"https://pith.science/paper/LIBDGDNI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1804.00985&json=true","fetch_graph":"https://pith.science/api/pith-number/LIBDGDNI6YNGL4R5EWXK2G2DDD/graph.json","fetch_events":"https://pith.science/api/pith-number/LIBDGDNI6YNGL4R5EWXK2G2DDD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LIBDGDNI6YNGL4R5EWXK2G2DDD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LIBDGDNI6YNGL4R5EWXK2G2DDD/action/storage_attestation","attest_author":"https://pith.science/pith/LIBDGDNI6YNGL4R5EWXK2G2DDD/action/author_attestation","sign_citation":"https://pith.science/pith/LIBDGDNI6YNGL4R5EWXK2G2DDD/action/citation_signature","submit_replication":"https://pith.science/pith/LIBDGDNI6YNGL4R5EWXK2G2DDD/action/replication_record"}},"created_at":"2026-05-18T00:17:32.690252+00:00","updated_at":"2026-05-18T00:17:32.690252+00:00"}