{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:MJS2IAFJR3QEWSMOZ4SI3T6X4T","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":"b78db6fe98e3264c613e7c2ecf51353d44a88183271c5c19948bac3452231488","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-09-13T11:45:16Z","title_canon_sha256":"8aceea2e852e95f93060712bb60d7d9cf0876f851c9ce447b1bef41587bfe6d4"},"schema_version":"1.0","source":{"id":"1609.03781","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.03781","created_at":"2026-05-18T01:04:42Z"},{"alias_kind":"arxiv_version","alias_value":"1609.03781v1","created_at":"2026-05-18T01:04:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.03781","created_at":"2026-05-18T01:04:42Z"},{"alias_kind":"pith_short_12","alias_value":"MJS2IAFJR3QE","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MJS2IAFJR3QEWSMO","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MJS2IAFJ","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:111c6e2a6f67e7bef971415d34093c8e3602e135c71feaa1124a3efd71cc2642","target":"graph","created_at":"2026-05-18T01:04:42Z","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":"We prove a prime geodesic theorem for compact quotients of affine buildings and apply it to get class number asymptotics for global fields of positive characteristic.","authors_text":"Anton Deitmar, Rupert McCallum","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-09-13T11:45:16Z","title":"A prime geodesic theorem for higher rank buildings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.03781","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":"sha256:1e6317076dfad5bcef781f43d92e4688d3610a0f752d29236578fde8845db6f1","target":"record","created_at":"2026-05-18T01:04:42Z","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":"b78db6fe98e3264c613e7c2ecf51353d44a88183271c5c19948bac3452231488","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-09-13T11:45:16Z","title_canon_sha256":"8aceea2e852e95f93060712bb60d7d9cf0876f851c9ce447b1bef41587bfe6d4"},"schema_version":"1.0","source":{"id":"1609.03781","kind":"arxiv","version":1}},"canonical_sha256":"6265a400a98ee04b498ecf248dcfd7e4e91544cc25be98634fd213123542cf3b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6265a400a98ee04b498ecf248dcfd7e4e91544cc25be98634fd213123542cf3b","first_computed_at":"2026-05-18T01:04:42.428785Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:04:42.428785Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yqkGnWBu/YwCzkPgYP/NFAVA66RsIXnDIg4WgKTIYQadjAKwRGJ/Ma8r3H8tIpP+JGrRygYwY76b9g0qbdzyDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:04:42.429362Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.03781","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1e6317076dfad5bcef781f43d92e4688d3610a0f752d29236578fde8845db6f1","sha256:111c6e2a6f67e7bef971415d34093c8e3602e135c71feaa1124a3efd71cc2642"],"state_sha256":"1f17ac0bb96b6dfeae3145a7168ef2d61667e20e817a096581d15537568b82b0"}