{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:W35OAWDI77CUOYNBZURHT4KOUZ","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":"73bb0d7931c5080a17642a05abcc80c0f008c27b433366383e90349c9086513e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-02-08T04:14:20Z","title_canon_sha256":"1616bf619ef57d936d19e8c21e603d1f39c9201f614e25b03b393d0aeb2f3d8f"},"schema_version":"1.0","source":{"id":"1902.02931","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.02931","created_at":"2026-05-17T23:54:28Z"},{"alias_kind":"arxiv_version","alias_value":"1902.02931v1","created_at":"2026-05-17T23:54:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.02931","created_at":"2026-05-17T23:54:28Z"},{"alias_kind":"pith_short_12","alias_value":"W35OAWDI77CU","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"W35OAWDI77CUOYNB","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"W35OAWDI","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:62ec1af7d185e183d18027bdc8c1e2abf4306bead37d352acc039736c137e3e9","target":"graph","created_at":"2026-05-17T23:54:28Z","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 article we derive some polynomial inequalities for Mertens functions.","authors_text":"K.-J. Wirths, R. Balasubramanian, S. Ponnusamy","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-02-08T04:14:20Z","title":"Inequalities for weighted sums of Mertens functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.02931","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":"sha256:8e5edc97375ef87ed364e894a2c1bf8c9d9814520073a4ffdc280bd2594d6346","target":"record","created_at":"2026-05-17T23:54:28Z","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":"73bb0d7931c5080a17642a05abcc80c0f008c27b433366383e90349c9086513e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-02-08T04:14:20Z","title_canon_sha256":"1616bf619ef57d936d19e8c21e603d1f39c9201f614e25b03b393d0aeb2f3d8f"},"schema_version":"1.0","source":{"id":"1902.02931","kind":"arxiv","version":1}},"canonical_sha256":"b6fae05868ffc54761a1cd2279f14ea642064a4b398a625f1a1252ef563cd93c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b6fae05868ffc54761a1cd2279f14ea642064a4b398a625f1a1252ef563cd93c","first_computed_at":"2026-05-17T23:54:28.785620Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:28.785620Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VbgTCqjNB9NzAEDjZqQ+DtgMLrLkWmEQjcyH1Qgzr0Y0JtJUBhAAkv8+1yKj5mHABvlt0SntNFMjnfwf9J/dAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:28.786150Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.02931","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e5edc97375ef87ed364e894a2c1bf8c9d9814520073a4ffdc280bd2594d6346","sha256:62ec1af7d185e183d18027bdc8c1e2abf4306bead37d352acc039736c137e3e9"],"state_sha256":"da01da5e4df3d17faa410e640cd74aa0261c2a8ddef51d40dca5e9f00136c0f8"}