{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:RH5BKG5GDOHDEX7MBIELGC5RLN","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":"755244d5093b46bb3555f2aad50084f57dcedeaa99185f6a6fa1506003618aff","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-02-03T10:45:36Z","title_canon_sha256":"bf47937e5235f66d72a6bd372b70446baca5e814fdd84749634325ae753ce3c2"},"schema_version":"1.0","source":{"id":"1302.0471","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.0471","created_at":"2026-05-18T01:00:20Z"},{"alias_kind":"arxiv_version","alias_value":"1302.0471v1","created_at":"2026-05-18T01:00:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.0471","created_at":"2026-05-18T01:00:20Z"},{"alias_kind":"pith_short_12","alias_value":"RH5BKG5GDOHD","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"RH5BKG5GDOHDEX7M","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"RH5BKG5G","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:915663a75223ad8323f942b2c8482bbb6ff86e80ea34fa8579160217b87147d5","target":"graph","created_at":"2026-05-18T01:00:20Z","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 study the mean values of some multiplicative functions connected with the divisor function on the short interval of summation. The asymptocic values for such mean values are proved.","authors_text":"Alisa Sedunova","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-02-03T10:45:36Z","title":"On the mean values of some multiplicative functions on the short interval"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.0471","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:b95c29c5074bcf2b8923e87f061c3ae39f6646dd6f269305d8a9987d4f9cd72a","target":"record","created_at":"2026-05-18T01:00:20Z","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":"755244d5093b46bb3555f2aad50084f57dcedeaa99185f6a6fa1506003618aff","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-02-03T10:45:36Z","title_canon_sha256":"bf47937e5235f66d72a6bd372b70446baca5e814fdd84749634325ae753ce3c2"},"schema_version":"1.0","source":{"id":"1302.0471","kind":"arxiv","version":1}},"canonical_sha256":"89fa151ba61b8e325fec0a08b30bb15b737f6d00a88c1602723ff84dcb388525","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"89fa151ba61b8e325fec0a08b30bb15b737f6d00a88c1602723ff84dcb388525","first_computed_at":"2026-05-18T01:00:20.757242Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:00:20.757242Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oJDy7JTGE8a4ZiPymOXnrjeGCWxKqR/g9NRDh21O9TMKjYEsEeeIGZ0erkGWrXaRdzM6MeYRaEPGZa0RtWP/AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:00:20.757882Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.0471","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b95c29c5074bcf2b8923e87f061c3ae39f6646dd6f269305d8a9987d4f9cd72a","sha256:915663a75223ad8323f942b2c8482bbb6ff86e80ea34fa8579160217b87147d5"],"state_sha256":"737473349816d4d58b7b225ecb923ae7ee8a17a9227da9be0246b3e2e258c87d"}