{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:ZA2SOGQN6UG425U7V3G6ZKVTFC","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":"e7d916427a4a13cbaa6b3e7c2dc1373d0380cf5914fd95d484379a3f492e4e1c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2008-06-28T17:26:06Z","title_canon_sha256":"0e98c1fceb5ff638288408d375a4b15928097328f86b85b280127a35bbe33355"},"schema_version":"1.0","source":{"id":"0806.4709","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0806.4709","created_at":"2026-05-18T03:41:40Z"},{"alias_kind":"arxiv_version","alias_value":"0806.4709v1","created_at":"2026-05-18T03:41:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0806.4709","created_at":"2026-05-18T03:41:40Z"},{"alias_kind":"pith_short_12","alias_value":"ZA2SOGQN6UG4","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"ZA2SOGQN6UG425U7","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"ZA2SOGQN","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:39e7df84a32e8e38329d3934cb3dc8330a6a6296c0994dcdb90d71f8ce818904","target":"graph","created_at":"2026-05-18T03:41:40Z","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":"We establish two nonlinear retarded integral inequalities. Bounds on the solution of some retarded equations are then obtained.","authors_text":"Delfim F. M. Torres, Rui A. C. Ferreira","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2008-06-28T17:26:06Z","title":"Retarded integral inequalities of Gronwall-Bihari type"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0806.4709","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":"sha256:997589d58234cd998c01f5d23b7f3649f9c502ae3c8944309c70dfa33829615d","target":"record","created_at":"2026-05-18T03:41:40Z","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":"e7d916427a4a13cbaa6b3e7c2dc1373d0380cf5914fd95d484379a3f492e4e1c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2008-06-28T17:26:06Z","title_canon_sha256":"0e98c1fceb5ff638288408d375a4b15928097328f86b85b280127a35bbe33355"},"schema_version":"1.0","source":{"id":"0806.4709","kind":"arxiv","version":1}},"canonical_sha256":"c835271a0df50dcd769faecdecaab328a4962c40887a1b2df4f0dd25b42fb34f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c835271a0df50dcd769faecdecaab328a4962c40887a1b2df4f0dd25b42fb34f","first_computed_at":"2026-05-18T03:41:40.624826Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:41:40.624826Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mbN3mYyeEPTXCdK0M4LM180SdmMQcrdg8Eypuo633I9OHBVB6D87QnXO1ALUMDo5s1Zfly96WhcJFqenTmqRCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:41:40.625618Z","signed_message":"canonical_sha256_bytes"},"source_id":"0806.4709","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:997589d58234cd998c01f5d23b7f3649f9c502ae3c8944309c70dfa33829615d","sha256:39e7df84a32e8e38329d3934cb3dc8330a6a6296c0994dcdb90d71f8ce818904"],"state_sha256":"d30a05d67512e2cb5dfa55f7e0a646ed786d7c607c973345e3a7ca46b80df636"}