{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:2P4RCL3POFZMCOAY25Y2RE3FVF","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"8024436c7f9fd3e0dc9201751485fc492355c9ea0b0573425c2993a96d72e395","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-05-08T20:42:11Z","title_canon_sha256":"20e5f0dc41714eb45891c134f01a7c78a948300cdde1a5639bde05d2bd5de67d"},"schema_version":"1.0","source":{"id":"1905.03324","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.03324","created_at":"2026-05-17T23:46:40Z"},{"alias_kind":"arxiv_version","alias_value":"1905.03324v1","created_at":"2026-05-17T23:46:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.03324","created_at":"2026-05-17T23:46:40Z"},{"alias_kind":"pith_short_12","alias_value":"2P4RCL3POFZM","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"2P4RCL3POFZMCOAY","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"2P4RCL3P","created_at":"2026-05-18T12:33:07Z"}],"graph_snapshots":[{"event_id":"sha256:9752b9a4339d5dc89e6eb276ac6596f793a73a8852780015dc970037be8ec69c","target":"graph","created_at":"2026-05-17T23:46:40Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"A new algorithm for solving non-homogeneous asymptotically linear and superlinear problems is proposed. The ground state solution of the problem, which in general is obtained as a mini-max of the associated functional, is obtained as the minimum of the functional constrained to the Pohozaev manifold instead. Examples are given of the use of this method for finding numerical radially symmetric positive solutions depending on various parameters.","authors_text":"D. Raom, L.A. Maia, R. Ruviaro, Y. D. Sobral","cross_cats":["math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-05-08T20:42:11Z","title":"Mini-Max Algorithm via Pohozaev Manifold"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.03324","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:916a5e705dd37aeaa55f405a4e3f6a84e36532cf2792b6f8b4b4f33d975fb547","target":"record","created_at":"2026-05-17T23:46:40Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"8024436c7f9fd3e0dc9201751485fc492355c9ea0b0573425c2993a96d72e395","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-05-08T20:42:11Z","title_canon_sha256":"20e5f0dc41714eb45891c134f01a7c78a948300cdde1a5639bde05d2bd5de67d"},"schema_version":"1.0","source":{"id":"1905.03324","kind":"arxiv","version":1}},"canonical_sha256":"d3f9112f6f7172c13818d771a89365a9465bbbc87169eb0a9febfda930c52206","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d3f9112f6f7172c13818d771a89365a9465bbbc87169eb0a9febfda930c52206","first_computed_at":"2026-05-17T23:46:40.375404Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:46:40.375404Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"c0Mt4idI9l74hGGJnuinnrJlBnyMacNyfTJkN1Rd3UU+qMGtyZ2loO+6Od881BR3DkGVGuerQd0d8ee1t2rODw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:46:40.376092Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.03324","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:916a5e705dd37aeaa55f405a4e3f6a84e36532cf2792b6f8b4b4f33d975fb547","sha256:9752b9a4339d5dc89e6eb276ac6596f793a73a8852780015dc970037be8ec69c"],"state_sha256":"5535395d650b265e015b0e59779d73ae4e4aeb91c343fbb2ffcae5c682c6fbd0"}