{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:KVMCWXXRCT7DPE3VST63IIJMJQ","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":"6b0704d1d6c93fe3fd167785836838ba000688aaeb4b3374f279b0b996a93a25","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2015-03-23T08:41:41Z","title_canon_sha256":"b5bdab74137f745db523b7f8e4555b9d2435b067c4dc31eeeb356a513f78abf1"},"schema_version":"1.0","source":{"id":"1503.06553","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.06553","created_at":"2026-05-18T02:20:38Z"},{"alias_kind":"arxiv_version","alias_value":"1503.06553v1","created_at":"2026-05-18T02:20:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.06553","created_at":"2026-05-18T02:20:38Z"},{"alias_kind":"pith_short_12","alias_value":"KVMCWXXRCT7D","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"KVMCWXXRCT7DPE3V","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"KVMCWXXR","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:7f45b79856c26dd4d1a9d2cd9b8c46650d7368b2147d3df5626d6a8245c6147e","target":"graph","created_at":"2026-05-18T02:20:38Z","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 solve Kolmogorov problem about existence of a function with given norms of derivatives for classes of multiple monotone functions and absolute monotone functions in the case of arbitrary number of norms. We also show the connection of Kolmogorov problem with Markov moment problem.","authors_text":"Oleg Kovalenko, Vladyslav Babenko, Yuliya Babenko","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2015-03-23T08:41:41Z","title":"Kolmogorov problem on classes of absolute monotone and multiple monotone functions and its connection with Markov moment problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.06553","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:e4f205dd31c162a1ca60a652f6461fa2c4077541213523c0185cd42587bb2715","target":"record","created_at":"2026-05-18T02:20:38Z","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":"6b0704d1d6c93fe3fd167785836838ba000688aaeb4b3374f279b0b996a93a25","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2015-03-23T08:41:41Z","title_canon_sha256":"b5bdab74137f745db523b7f8e4555b9d2435b067c4dc31eeeb356a513f78abf1"},"schema_version":"1.0","source":{"id":"1503.06553","kind":"arxiv","version":1}},"canonical_sha256":"55582b5ef114fe37937594fdb4212c4c0c590fbacb145435ae079ad2e1d9c997","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"55582b5ef114fe37937594fdb4212c4c0c590fbacb145435ae079ad2e1d9c997","first_computed_at":"2026-05-18T02:20:38.032936Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:20:38.032936Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m7X2JJNZJF4MKTBtcvErU8veVbU1sba7NYp8f3QBEIC3Y6zqOLm9P2ndPpnK/7fTTRFJNrP7CQZg6ULv6LOkAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:20:38.033634Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.06553","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e4f205dd31c162a1ca60a652f6461fa2c4077541213523c0185cd42587bb2715","sha256:7f45b79856c26dd4d1a9d2cd9b8c46650d7368b2147d3df5626d6a8245c6147e"],"state_sha256":"71448ffeaf1bedc0b81b0a8ebbf475b499ca09a7d709a5350077c8b1a933b628"}