{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:POPLQ5UJWJX4BJA2ADFRPRJRVV","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":"d536ce6e568d4d05c13e66c1ccf77c61354284840527b7eac44e0a19d627766c","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-04-28T13:10:06Z","title_canon_sha256":"3ce618e8fb2720974f189725c723fc3fba799b26129e8bdaf8e389d43c2349a2"},"schema_version":"1.0","source":{"id":"1104.5380","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.5380","created_at":"2026-05-17T23:53:36Z"},{"alias_kind":"arxiv_version","alias_value":"1104.5380v2","created_at":"2026-05-17T23:53:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.5380","created_at":"2026-05-17T23:53:36Z"},{"alias_kind":"pith_short_12","alias_value":"POPLQ5UJWJX4","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"POPLQ5UJWJX4BJA2","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"POPLQ5UJ","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:3d6b19cb2751b5b0326884234d5298d119febd38bb7a99121cb9e4e89866203a","target":"graph","created_at":"2026-05-17T23:53:36Z","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 paper, we consider the $\\SL(2)$ analogue of two well-known theorems about period integrals of automorphic forms on $\\GL(2)$: one due to Harder-Langlands-Rapoport, and the other due to Waldspurger.","authors_text":"Dipendra Prasad, U. K. Anandavardhanan","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-04-28T13:10:06Z","title":"A local global question in automorphic forms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.5380","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:ef6773cbbe3457faa23798dbbca78f593b403f92c91ce4ee5ee1bfcb846c55ea","target":"record","created_at":"2026-05-17T23:53:36Z","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":"d536ce6e568d4d05c13e66c1ccf77c61354284840527b7eac44e0a19d627766c","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-04-28T13:10:06Z","title_canon_sha256":"3ce618e8fb2720974f189725c723fc3fba799b26129e8bdaf8e389d43c2349a2"},"schema_version":"1.0","source":{"id":"1104.5380","kind":"arxiv","version":2}},"canonical_sha256":"7b9eb87689b26fc0a41a00cb17c531ad68c9792d1089ed7b240a6c43f4aeae92","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7b9eb87689b26fc0a41a00cb17c531ad68c9792d1089ed7b240a6c43f4aeae92","first_computed_at":"2026-05-17T23:53:36.625289Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:36.625289Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+SKNu26WD2VKCq2OVdbf04Kbtl/hN9AIRsMez93N9e/B6ynyalfBxx/5FLKd1FcgVrrbnc8itTsDqfPMJAmYCw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:36.626055Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.5380","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ef6773cbbe3457faa23798dbbca78f593b403f92c91ce4ee5ee1bfcb846c55ea","sha256:3d6b19cb2751b5b0326884234d5298d119febd38bb7a99121cb9e4e89866203a"],"state_sha256":"67247adb03e8533e8e8a8bda777bc40c5d2e19fe13ac51b904a525cba2404a7d"}