{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:3MAR2EV2ZL7XTCIVX44L7UEAYT","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":"5ac80791ab4b837269147cdc906061736afc8eb73b1ff3d4e719ca649d92c6d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-02-21T05:37:23Z","title_canon_sha256":"84b97153b4aa778e91f3cba89e958cc00fbbdac7973699fa7ff08319bf2e312d"},"schema_version":"1.0","source":{"id":"1502.06067","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.06067","created_at":"2026-05-18T02:26:38Z"},{"alias_kind":"arxiv_version","alias_value":"1502.06067v1","created_at":"2026-05-18T02:26:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.06067","created_at":"2026-05-18T02:26:38Z"},{"alias_kind":"pith_short_12","alias_value":"3MAR2EV2ZL7X","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3MAR2EV2ZL7XTCIV","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3MAR2EV2","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:357917e94f77826cf692110a7dcd5a6a17c54f5ce863bd80ec82fc9ef54069f1","target":"graph","created_at":"2026-05-18T02:26:38Z","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":"We study the shifted convolution sum of the divisor function and some other arithmetic functions.","authors_text":"Farzad Aryan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-02-21T05:37:23Z","title":"On binary and quadratic divisor problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.06067","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:c563984ea55947c8570ac40e90b076b50ba24975d7dc3d9e359612916ff2e52a","target":"record","created_at":"2026-05-18T02:26:38Z","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":"5ac80791ab4b837269147cdc906061736afc8eb73b1ff3d4e719ca649d92c6d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-02-21T05:37:23Z","title_canon_sha256":"84b97153b4aa778e91f3cba89e958cc00fbbdac7973699fa7ff08319bf2e312d"},"schema_version":"1.0","source":{"id":"1502.06067","kind":"arxiv","version":1}},"canonical_sha256":"db011d12bacaff798915bf38bfd080c4c6ad523958b1f5c79c8e13eea1824b0b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"db011d12bacaff798915bf38bfd080c4c6ad523958b1f5c79c8e13eea1824b0b","first_computed_at":"2026-05-18T02:26:38.162513Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:38.162513Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fOVKEoqfHnl4tlyqta8kY8yV1U3WxTM+CJ5dII17O6mWdt55s2T8qrG6iqw9IQbfRZjDMyZxmDRKEzjVJPEYAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:38.162954Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.06067","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c563984ea55947c8570ac40e90b076b50ba24975d7dc3d9e359612916ff2e52a","sha256:357917e94f77826cf692110a7dcd5a6a17c54f5ce863bd80ec82fc9ef54069f1"],"state_sha256":"79acdb337c4c95d2e9f25a7dd1a5c7f51cda54af843e46f71b6302e9bdf46236"}