{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:ZWTKW5GGRDVJZGNV75IGLSHMHO","short_pith_number":"pith:ZWTKW5GG","schema_version":"1.0","canonical_sha256":"cda6ab74c688ea9c99b5ff5065c8ec3ba66b2cc377c47452ae3aca40aa3386be","source":{"kind":"arxiv","id":"1511.03801","version":1},"attestation_state":"computed","paper":{"title":"A priori bounds for positive solutions of Kirchhoff type equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Enhao Lan, Feilin Shi, Qiuyi Dai","submitted_at":"2015-11-12T07:12:09Z","abstract_excerpt":"This paper gives a priori estimates for the positve solutions of Kirchhoff type equation without variational structure."},"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":"1511.03801","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-11-12T07:12:09Z","cross_cats_sorted":[],"title_canon_sha256":"e397301c35cba670cd619036ef38af6549ab7b49bd09bc8c5862bcf3f3f734a8","abstract_canon_sha256":"807a8369c961cd200c2362c516d8ecf7ab4a692b990507bb0cd1093a5df8e57b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:27:06.763137Z","signature_b64":"f4q4r68wjz7J7sJmv98YS77Ao3mpRAZla/5fJX3X2P9ZGBHJ6mw/bolESzcp4CSc3iQkEODqzEN+NGyArO6+AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cda6ab74c688ea9c99b5ff5065c8ec3ba66b2cc377c47452ae3aca40aa3386be","last_reissued_at":"2026-05-18T01:27:06.762460Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:27:06.762460Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A priori bounds for positive solutions of Kirchhoff type equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Enhao Lan, Feilin Shi, Qiuyi Dai","submitted_at":"2015-11-12T07:12:09Z","abstract_excerpt":"This paper gives a priori estimates for the positve solutions of Kirchhoff type equation without variational structure."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.03801","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":"1511.03801","created_at":"2026-05-18T01:27:06.762559+00:00"},{"alias_kind":"arxiv_version","alias_value":"1511.03801v1","created_at":"2026-05-18T01:27:06.762559+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.03801","created_at":"2026-05-18T01:27:06.762559+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZWTKW5GGRDVJ","created_at":"2026-05-18T12:29:52.810259+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZWTKW5GGRDVJZGNV","created_at":"2026-05-18T12:29:52.810259+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZWTKW5GG","created_at":"2026-05-18T12:29:52.810259+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/ZWTKW5GGRDVJZGNV75IGLSHMHO","json":"https://pith.science/pith/ZWTKW5GGRDVJZGNV75IGLSHMHO.json","graph_json":"https://pith.science/api/pith-number/ZWTKW5GGRDVJZGNV75IGLSHMHO/graph.json","events_json":"https://pith.science/api/pith-number/ZWTKW5GGRDVJZGNV75IGLSHMHO/events.json","paper":"https://pith.science/paper/ZWTKW5GG"},"agent_actions":{"view_html":"https://pith.science/pith/ZWTKW5GGRDVJZGNV75IGLSHMHO","download_json":"https://pith.science/pith/ZWTKW5GGRDVJZGNV75IGLSHMHO.json","view_paper":"https://pith.science/paper/ZWTKW5GG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1511.03801&json=true","fetch_graph":"https://pith.science/api/pith-number/ZWTKW5GGRDVJZGNV75IGLSHMHO/graph.json","fetch_events":"https://pith.science/api/pith-number/ZWTKW5GGRDVJZGNV75IGLSHMHO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZWTKW5GGRDVJZGNV75IGLSHMHO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZWTKW5GGRDVJZGNV75IGLSHMHO/action/storage_attestation","attest_author":"https://pith.science/pith/ZWTKW5GGRDVJZGNV75IGLSHMHO/action/author_attestation","sign_citation":"https://pith.science/pith/ZWTKW5GGRDVJZGNV75IGLSHMHO/action/citation_signature","submit_replication":"https://pith.science/pith/ZWTKW5GGRDVJZGNV75IGLSHMHO/action/replication_record"}},"created_at":"2026-05-18T01:27:06.762559+00:00","updated_at":"2026-05-18T01:27:06.762559+00:00"}