{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:E3E2723XZ542PQHAYC7ADQ6Z4X","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":"fa4407876e4592362cf6fe797f03ac9a5445581f0980c40c90d25f67e4b7b028","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-05-18T16:39:59Z","title_canon_sha256":"5b7562ec504c4560c5de47ccaa639c3b064d5b653dc411ae091d701b82f4d0b5"},"schema_version":"1.0","source":{"id":"1705.06682","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.06682","created_at":"2026-05-18T00:25:18Z"},{"alias_kind":"arxiv_version","alias_value":"1705.06682v2","created_at":"2026-05-18T00:25:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.06682","created_at":"2026-05-18T00:25:18Z"},{"alias_kind":"pith_short_12","alias_value":"E3E2723XZ542","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"E3E2723XZ542PQHA","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"E3E2723X","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:786eccc687e07f1e02f6686d4d865b3529b5549c05979648d2c519c6b826ca41","target":"graph","created_at":"2026-05-18T00:25:18Z","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 article, we compute the Petersson norm of a family of weight one cusp forms constructed by Hecke and express it in terms of the Rademacher symbol and the regulator of real quadratic field.","authors_text":"Yingkun Li","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-05-18T16:39:59Z","title":"Petersson Norm of Cusp Forms Associated to Real Quadratic Fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.06682","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":"sha256:5aed5758cb845532112d5da4acbe11a4d88f5958b77304391efcab4e0c6c7226","target":"record","created_at":"2026-05-18T00:25:18Z","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":"fa4407876e4592362cf6fe797f03ac9a5445581f0980c40c90d25f67e4b7b028","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-05-18T16:39:59Z","title_canon_sha256":"5b7562ec504c4560c5de47ccaa639c3b064d5b653dc411ae091d701b82f4d0b5"},"schema_version":"1.0","source":{"id":"1705.06682","kind":"arxiv","version":2}},"canonical_sha256":"26c9afeb77cf79a7c0e0c0be01c3d9e5c5318ccedce6536e68ef7561b2444866","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"26c9afeb77cf79a7c0e0c0be01c3d9e5c5318ccedce6536e68ef7561b2444866","first_computed_at":"2026-05-18T00:25:18.542497Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:25:18.542497Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZtY8io+wFx131pqh+2hodpvliapj2SS1QITgMK6tkt5rqbL/fXQwsMrodiIBZqAEMHT+T67A9hiZDXTOn3osAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:25:18.543187Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.06682","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5aed5758cb845532112d5da4acbe11a4d88f5958b77304391efcab4e0c6c7226","sha256:786eccc687e07f1e02f6686d4d865b3529b5549c05979648d2c519c6b826ca41"],"state_sha256":"f5e2f44abfac683554d092bc1b8e9a9b7d50b1a0dae88627df4bcab335e35ea0"}