{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:32M3WG2ENUAVIDCV2SIO2V4BNG","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":"dbf0817940d8e7a85c3370ee281b2f78b28eec06d3f7ec7634237d0d78772c30","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-02-19T15:52:15Z","title_canon_sha256":"ac74af943bf94f02449b50cd0da510b105b1ff8b928d4e71475c8ae86e849ea2"},"schema_version":"1.0","source":{"id":"1302.4650","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.4650","created_at":"2026-05-18T02:51:57Z"},{"alias_kind":"arxiv_version","alias_value":"1302.4650v2","created_at":"2026-05-18T02:51:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.4650","created_at":"2026-05-18T02:51:57Z"},{"alias_kind":"pith_short_12","alias_value":"32M3WG2ENUAV","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"32M3WG2ENUAVIDCV","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"32M3WG2E","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:743a3e0b08b2f4060d3b167438b0c227c46d66e8d574e6db165428fd9556198b","target":"graph","created_at":"2026-05-18T02:51:57Z","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 two families of divisors, which we call the `orthogonal' and `unitary' special cycles, defined on integral models of Shimura curves. The orthogonal family was studied extensively by Kudla-Rapoport-Yang, who showed that they are closely related to the Fourier coefficients of modular forms of weight 3/2, while the `unitary' divisors are analogues of cycles appearing in more recent work of Kudla-Rapoport on unitary Shimura varieties. Our main result shows that these two families are related by (a formal version of) the Shimura lift.","authors_text":"Siddarth Sankaran","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-02-19T15:52:15Z","title":"Unitary cycles on Shimura curves and the Shimura lift I"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.4650","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:b235e51c1d2f81d48df2cced747ad6ed7e633e6b4503cf6bcc2e6c53af5dba63","target":"record","created_at":"2026-05-18T02:51:57Z","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":"dbf0817940d8e7a85c3370ee281b2f78b28eec06d3f7ec7634237d0d78772c30","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-02-19T15:52:15Z","title_canon_sha256":"ac74af943bf94f02449b50cd0da510b105b1ff8b928d4e71475c8ae86e849ea2"},"schema_version":"1.0","source":{"id":"1302.4650","kind":"arxiv","version":2}},"canonical_sha256":"de99bb1b446d01540c55d490ed578169b4fdb93c1a87b6fa39e6a06dc06cbf6a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"de99bb1b446d01540c55d490ed578169b4fdb93c1a87b6fa39e6a06dc06cbf6a","first_computed_at":"2026-05-18T02:51:57.165117Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:51:57.165117Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dZNGhNZ0tEkKh65TNBXnoroaI5hgir7bQGmAmHfOCT00xev0YoTv/qWCsvbEDZKGc44XgZqfY64HwzjOFbCkBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:51:57.165656Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.4650","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b235e51c1d2f81d48df2cced747ad6ed7e633e6b4503cf6bcc2e6c53af5dba63","sha256:743a3e0b08b2f4060d3b167438b0c227c46d66e8d574e6db165428fd9556198b"],"state_sha256":"ae5785442a62f3991cdd903c3790f405fbea236cbfcda48c7729c111c72ae5d4"}