{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:FSNPEJVOBXIPRONO4V3E535UMB","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":"9d492f03d3580c093f9b3ffbf7f48459ee53b42d4b0d52959126082825c11224","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-03-07T06:55:03Z","title_canon_sha256":"87552eb0a77ed935d806f39c46f79f515b8cad000c00cdb4a4cac316edb82870"},"schema_version":"1.0","source":{"id":"1803.02541","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.02541","created_at":"2026-05-18T00:21:49Z"},{"alias_kind":"arxiv_version","alias_value":"1803.02541v1","created_at":"2026-05-18T00:21:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.02541","created_at":"2026-05-18T00:21:49Z"},{"alias_kind":"pith_short_12","alias_value":"FSNPEJVOBXIP","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"FSNPEJVOBXIPRONO","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"FSNPEJVO","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:860473c945804fc55cc467126f63d3ebfca465f7e5de16f1e8197362462bef91","target":"graph","created_at":"2026-05-18T00:21:49Z","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":"In this paper we consider some non-stationary relaxed synchronous and asynchronous multi-splitting methods for solving the linear complementarity problems with their coefficient matrices being H-matrices. The convergence theorems of the methods are given,and the efficiency is shown by numerical tests.","authors_text":"Chenliang Li, Cuiyu Liu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-03-07T06:55:03Z","title":"Nonstationary relaxed multisplitting methods for solving linear complementarity problems with H-matrices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.02541","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":"sha256:6276230f851e6457c6a95348759e82f75f86e88d4845b1c7b702f50314ad9156","target":"record","created_at":"2026-05-18T00:21:49Z","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":"9d492f03d3580c093f9b3ffbf7f48459ee53b42d4b0d52959126082825c11224","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-03-07T06:55:03Z","title_canon_sha256":"87552eb0a77ed935d806f39c46f79f515b8cad000c00cdb4a4cac316edb82870"},"schema_version":"1.0","source":{"id":"1803.02541","kind":"arxiv","version":1}},"canonical_sha256":"2c9af226ae0dd0f8b9aee5764eefb46050620bd3ab5f6575d18c414f78e4d25a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2c9af226ae0dd0f8b9aee5764eefb46050620bd3ab5f6575d18c414f78e4d25a","first_computed_at":"2026-05-18T00:21:49.901424Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:21:49.901424Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tLwq0tZ+ZDBMLMEZAJzZZmtYjQ+m/c1+c84Dx5CClspWtz76S3uSD0KnctvUHuj0ZPn2vWg/XfIbniiUiQQfCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:21:49.902077Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.02541","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6276230f851e6457c6a95348759e82f75f86e88d4845b1c7b702f50314ad9156","sha256:860473c945804fc55cc467126f63d3ebfca465f7e5de16f1e8197362462bef91"],"state_sha256":"1ca9a16c6427f616194351dbe2dca1c960a062f0fc8eb57db1b6785c34cb3539"}