{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:X3PDWDIVVAZRLWIPTI6J73F2AS","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":"502012f49c9d2a255a7a3d9cb329f9b1d633cd377d537a5b092ef0a7bed1b330","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2011-03-21T18:04:04Z","title_canon_sha256":"c0ed356f47174e374e25f4165eb27aa0e9004423692e7484b2b05df8db92ac45"},"schema_version":"1.0","source":{"id":"1103.4098","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.4098","created_at":"2026-05-18T03:39:05Z"},{"alias_kind":"arxiv_version","alias_value":"1103.4098v1","created_at":"2026-05-18T03:39:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.4098","created_at":"2026-05-18T03:39:05Z"},{"alias_kind":"pith_short_12","alias_value":"X3PDWDIVVAZR","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"X3PDWDIVVAZRLWIP","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"X3PDWDIV","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:20539a58a2530b07a56ff52e9910d4e530a21ccfc78b5eeea154d6b4e4d57891","target":"graph","created_at":"2026-05-18T03:39:05Z","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":"Using monotonicity theory we investigate the continuous dependence on parameters for the discrete BVPs which can be written in a form of a nonlinear system.","authors_text":"Marek Galewski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2011-03-21T18:04:04Z","title":"A note on the dependence on parameters for a nonlinear system via monotonicity theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.4098","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:d9ca8b00be9453e64910131d6cd3a323e9d7751df2fe207008ca5ef38732fb3c","target":"record","created_at":"2026-05-18T03:39:05Z","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":"502012f49c9d2a255a7a3d9cb329f9b1d633cd377d537a5b092ef0a7bed1b330","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2011-03-21T18:04:04Z","title_canon_sha256":"c0ed356f47174e374e25f4165eb27aa0e9004423692e7484b2b05df8db92ac45"},"schema_version":"1.0","source":{"id":"1103.4098","kind":"arxiv","version":1}},"canonical_sha256":"bede3b0d15a83315d90f9a3c9fecba04b047c752535e6520d68e7be646549d8a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bede3b0d15a83315d90f9a3c9fecba04b047c752535e6520d68e7be646549d8a","first_computed_at":"2026-05-18T03:39:05.478663Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:39:05.478663Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bt9lAl2nj/XuGyEKKgrbzJw7YXI6bLOPOanEzSZPzHRiTPnEDuy9BipguLenRkmPxlWNNHBGtRxcD3yICaQ6Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:39:05.479185Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.4098","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d9ca8b00be9453e64910131d6cd3a323e9d7751df2fe207008ca5ef38732fb3c","sha256:20539a58a2530b07a56ff52e9910d4e530a21ccfc78b5eeea154d6b4e4d57891"],"state_sha256":"bbfd2a2c2f1f9ca79fbf4f3abb44dd6c7030d0512849686b67c56b25b9b19786"}