{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:7QJVVWUL5WMITS4OUNEEJKTLT4","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":"ce51e40338e75867a06cdfa2214130c74b8553797a154354d74b3354d0ffa75c","cross_cats_sorted":[],"license":"","primary_cat":"math.NT","submitted_at":"2007-02-21T16:09:05Z","title_canon_sha256":"21b356982614a16193f6a2e35d8ab82325017b7432692fb911c1d8b85cb7c951"},"schema_version":"1.0","source":{"id":"math/0702613","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0702613","created_at":"2026-05-18T02:42:37Z"},{"alias_kind":"arxiv_version","alias_value":"math/0702613v4","created_at":"2026-05-18T02:42:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0702613","created_at":"2026-05-18T02:42:37Z"},{"alias_kind":"pith_short_12","alias_value":"7QJVVWUL5WMI","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"7QJVVWUL5WMITS4O","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"7QJVVWUL","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:95c40f3b351f7347feb8639a6fa3ff0cd67f91aee4d9a6958b95d92be9606566","target":"graph","created_at":"2026-05-18T02:42:37Z","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":"This paper concerns the number of lattice points in a circle.","authors_text":"Julius L. Shaneson, Sylvain E. Cappell","cross_cats":[],"headline":"","license":"","primary_cat":"math.NT","submitted_at":"2007-02-21T16:09:05Z","title":"Some Problems in Number Theory I: The Circle Problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0702613","kind":"arxiv","version":4},"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":"sha256:56e49618a868d4896a3064e4d9702db264d6bc3d3c6194029bd58f8415e2d27a","target":"record","created_at":"2026-05-18T02:42:37Z","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":"ce51e40338e75867a06cdfa2214130c74b8553797a154354d74b3354d0ffa75c","cross_cats_sorted":[],"license":"","primary_cat":"math.NT","submitted_at":"2007-02-21T16:09:05Z","title_canon_sha256":"21b356982614a16193f6a2e35d8ab82325017b7432692fb911c1d8b85cb7c951"},"schema_version":"1.0","source":{"id":"math/0702613","kind":"arxiv","version":4}},"canonical_sha256":"fc135ada8bed9889cb8ea34844aa6b9f1e8e83ec9f5256f4a8895fd9c6053114","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc135ada8bed9889cb8ea34844aa6b9f1e8e83ec9f5256f4a8895fd9c6053114","first_computed_at":"2026-05-18T02:42:37.745765Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:42:37.745765Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BE8aOqZLXFm35YaPSmIszjuIckOUAbZG86l5h7Dsrstgquo8Gv+fKDVWaJf9zbk2ichWdVEymBXMR1up8aimAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:42:37.746398Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0702613","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:56e49618a868d4896a3064e4d9702db264d6bc3d3c6194029bd58f8415e2d27a","sha256:95c40f3b351f7347feb8639a6fa3ff0cd67f91aee4d9a6958b95d92be9606566"],"state_sha256":"069143bad51bb5bf8546b242cbbce8eb0aa9de49826703f6c174bbb1940c9841"}