{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:3KSZXTPQYSM6TND2TLOBY6CXXJ","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":"830a9a7263d96d7e0be3feb21da495951b76dec1bfbdc6ac0900cb71e8fccd9f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2020-12-16T03:58:24Z","title_canon_sha256":"dd25a5df22182e93a2df077c903be1ab43048ec1bad4724172b3aad5021fe515"},"schema_version":"1.0","source":{"id":"2012.08728","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2012.08728","created_at":"2026-07-05T02:27:34Z"},{"alias_kind":"arxiv_version","alias_value":"2012.08728v2","created_at":"2026-07-05T02:27:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.08728","created_at":"2026-07-05T02:27:34Z"},{"alias_kind":"pith_short_12","alias_value":"3KSZXTPQYSM6","created_at":"2026-07-05T02:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"3KSZXTPQYSM6TND2","created_at":"2026-07-05T02:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"3KSZXTPQ","created_at":"2026-07-05T02:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:2dafa982a6be10e3546963f91345d8c0a58d5fc22c0100b160f5c2506b675485","target":"graph","created_at":"2026-07-05T02:27:34Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2012.08728/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The aim of this paper is to study class number relations over function fields and the intersections of Hirzebruch-Zagier type divisors on the Drinfeld-Stuhler modular surfaces. The main bridge is a particular \"harmonic\" theta series with nebentypus. Using the strong approximation theorem, the Fourier coefficients of this series are expressed in two ways; one comes from modified Hurwitz class numbers and another gives the intersection numbers in question. An elaboration of this approach enables us to interpret these class numbers as a \"mass sum\" over the CM points on the Drinfeld-Stuhler modula","authors_text":"Fu-Tsun Wei, Jia-Wei Guo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2020-12-16T03:58:24Z","title":"On class number relations, intersections, and GL(2)-tale over the function field side"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.08728","kind":"arxiv","version":2},"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:cc6c7b6902b57d5fd04454f371225f97bcde7292a4e64dc0d2fbae823fee4395","target":"record","created_at":"2026-07-05T02:27:34Z","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":"830a9a7263d96d7e0be3feb21da495951b76dec1bfbdc6ac0900cb71e8fccd9f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2020-12-16T03:58:24Z","title_canon_sha256":"dd25a5df22182e93a2df077c903be1ab43048ec1bad4724172b3aad5021fe515"},"schema_version":"1.0","source":{"id":"2012.08728","kind":"arxiv","version":2}},"canonical_sha256":"daa59bcdf0c499e9b47a9adc1c7857ba53d1e76380384d031babbb732749bc06","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"daa59bcdf0c499e9b47a9adc1c7857ba53d1e76380384d031babbb732749bc06","first_computed_at":"2026-07-05T02:27:34.410884Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:27:34.410884Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XEne/U1uYbgEXoIXtpfhIhq1h19YkS92HRk+mWwushePQPzCE9jQxYiaQKzz3lxwRWIR+ry/+PYFxz5tzW/oBg==","signature_status":"signed_v1","signed_at":"2026-07-05T02:27:34.411415Z","signed_message":"canonical_sha256_bytes"},"source_id":"2012.08728","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc6c7b6902b57d5fd04454f371225f97bcde7292a4e64dc0d2fbae823fee4395","sha256:2dafa982a6be10e3546963f91345d8c0a58d5fc22c0100b160f5c2506b675485"],"state_sha256":"83786461cb7f694903206ac68afce652eb455fefd2bbfad2ce4c69d1883c70bc"}