{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:U23VS7BA3ST7SBHIG7IL2LJEIP","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":"060a958ed3b055c3c6e7e3308591beb3d68fd33ddc0001fa4e8a30ec9dc3a670","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-09-04T23:36:05Z","title_canon_sha256":"1fb990828415d9c3929e3e40f754d3b01bfc733a1577f7821de1f9448537b1d1"},"schema_version":"1.0","source":{"id":"1709.01194","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.01194","created_at":"2026-05-18T00:36:00Z"},{"alias_kind":"arxiv_version","alias_value":"1709.01194v1","created_at":"2026-05-18T00:36:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.01194","created_at":"2026-05-18T00:36:00Z"},{"alias_kind":"pith_short_12","alias_value":"U23VS7BA3ST7","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"U23VS7BA3ST7SBHI","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"U23VS7BA","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:a1e941e79e3e202a6363fe145d96e6debf4c1a27d9be7a559bf7afe372b4e54c","target":"graph","created_at":"2026-05-18T00:36:00Z","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 investigate Sarnak's conjecture on the M\\\"obius function in the special case when the test function is the indicator of the set of integers for which a real additive function assumes a given value.","authors_text":"G\\'erald Tenenbaum, R\\'egis de la Bret\\`eche","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-09-04T23:36:05Z","title":"A remark on Sarnak's conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.01194","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":"sha256:8acf88fae1cc4b494489973f89235f4fcb9f17e6db2e9caaa7c0480c343ba471","target":"record","created_at":"2026-05-18T00:36:00Z","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":"060a958ed3b055c3c6e7e3308591beb3d68fd33ddc0001fa4e8a30ec9dc3a670","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-09-04T23:36:05Z","title_canon_sha256":"1fb990828415d9c3929e3e40f754d3b01bfc733a1577f7821de1f9448537b1d1"},"schema_version":"1.0","source":{"id":"1709.01194","kind":"arxiv","version":1}},"canonical_sha256":"a6b7597c20dca7f904e837d0bd2d2443d8879ee030adcaa7afbacb1757c3b9b3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a6b7597c20dca7f904e837d0bd2d2443d8879ee030adcaa7afbacb1757c3b9b3","first_computed_at":"2026-05-18T00:36:00.682036Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:36:00.682036Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ob3FSG9Rd1quOleAqcTKFuvRComIq3F6wXMxjCf+tLsfgP8uI1+Hvs6vz0xOMKxunEAc90szuYq0N+LERtfZBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:36:00.682489Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.01194","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8acf88fae1cc4b494489973f89235f4fcb9f17e6db2e9caaa7c0480c343ba471","sha256:a1e941e79e3e202a6363fe145d96e6debf4c1a27d9be7a559bf7afe372b4e54c"],"state_sha256":"33cb1ada278663bbadb5a4000e58076643881c1b1d48164d55cf5e01dd9718ec"}