{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:7KLELUTHRGOAUO7JO2D5OB3RXU","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":"efd0b40c20e195beda24fef00b31acea72e9f7b47b68943d2eb4e0888c3a4900","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-08-06T16:05:03Z","title_canon_sha256":"d5e37c779d002777e2eee9902b300b0bb4365c0d7effb0dccd033121a06fdb68"},"schema_version":"1.0","source":{"id":"1508.01444","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.01444","created_at":"2026-05-18T01:35:42Z"},{"alias_kind":"arxiv_version","alias_value":"1508.01444v1","created_at":"2026-05-18T01:35:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.01444","created_at":"2026-05-18T01:35:42Z"},{"alias_kind":"pith_short_12","alias_value":"7KLELUTHRGOA","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"7KLELUTHRGOAUO7J","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"7KLELUTH","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:b81f9689ec55a01858252965730e26c440c298735a901f7a774a4c55b1f27cf2","target":"graph","created_at":"2026-05-18T01:35:42Z","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 note we prove two extensions of the Sury's identity.","authors_text":"Ivica Martinjak","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-08-06T16:05:03Z","title":"Two Extensions of the Sury's Identity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.01444","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":"sha256:800e7eb429ac439961c78c52418e2ec9d7a32082cc5f133451f0ae0c6e5e9ceb","target":"record","created_at":"2026-05-18T01:35:42Z","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":"efd0b40c20e195beda24fef00b31acea72e9f7b47b68943d2eb4e0888c3a4900","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-08-06T16:05:03Z","title_canon_sha256":"d5e37c779d002777e2eee9902b300b0bb4365c0d7effb0dccd033121a06fdb68"},"schema_version":"1.0","source":{"id":"1508.01444","kind":"arxiv","version":1}},"canonical_sha256":"fa9645d267899c0a3be97687d70771bd145b26f198893b8e0275bd19e3c501f3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fa9645d267899c0a3be97687d70771bd145b26f198893b8e0275bd19e3c501f3","first_computed_at":"2026-05-18T01:35:42.605310Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:42.605310Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Nu8mGls9FcrMNkE3k3AX60SaQSyRjsynyDNmQmsoUvYbyQkCfIVvo7cQ3nYN8HtOQBYuCSsA1xIpY7FOR7VQDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:42.605947Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.01444","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:800e7eb429ac439961c78c52418e2ec9d7a32082cc5f133451f0ae0c6e5e9ceb","sha256:b81f9689ec55a01858252965730e26c440c298735a901f7a774a4c55b1f27cf2"],"state_sha256":"997ec0c32697dbe9c623622b6bc426350656cc17a3abcc872e291faaef809167"}