{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:VV6HWX7IODTUFJOYL2E36P76TI","short_pith_number":"pith:VV6HWX7I","canonical_record":{"source":{"id":"1611.06298","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-11-19T03:29:14Z","cross_cats_sorted":[],"title_canon_sha256":"9e349edc10cb0dcb794fcef8005c4ba0142aae7197d856ea6a4885bfb9f33bb7","abstract_canon_sha256":"2500d7c3ceaec7ac96f49f39146700bdfda1a956d4739871a486be3965a89330"},"schema_version":"1.0"},"canonical_sha256":"ad7c7b5fe870e742a5d85e89bf3ffe9a2dbdfabeb81f56742aa9dcb5b0531d35","source":{"kind":"arxiv","id":"1611.06298","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.06298","created_at":"2026-05-18T00:57:39Z"},{"alias_kind":"arxiv_version","alias_value":"1611.06298v1","created_at":"2026-05-18T00:57:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.06298","created_at":"2026-05-18T00:57:39Z"},{"alias_kind":"pith_short_12","alias_value":"VV6HWX7IODTU","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"VV6HWX7IODTUFJOY","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"VV6HWX7I","created_at":"2026-05-18T12:30:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:VV6HWX7IODTUFJOYL2E36P76TI","target":"record","payload":{"canonical_record":{"source":{"id":"1611.06298","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-11-19T03:29:14Z","cross_cats_sorted":[],"title_canon_sha256":"9e349edc10cb0dcb794fcef8005c4ba0142aae7197d856ea6a4885bfb9f33bb7","abstract_canon_sha256":"2500d7c3ceaec7ac96f49f39146700bdfda1a956d4739871a486be3965a89330"},"schema_version":"1.0"},"canonical_sha256":"ad7c7b5fe870e742a5d85e89bf3ffe9a2dbdfabeb81f56742aa9dcb5b0531d35","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:57:39.105752Z","signature_b64":"WL92E7WD6jmnAVWLSWCE5Zdl5bXmvejK9bqw2zGerfekSQWEaZ4Gr84PIQDAZSPRb9Rvq63W3VSyYgygG/CeCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ad7c7b5fe870e742a5d85e89bf3ffe9a2dbdfabeb81f56742aa9dcb5b0531d35","last_reissued_at":"2026-05-18T00:57:39.105084Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:57:39.105084Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.06298","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:57:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0x3M7yRtj+ZIN/qJZif9OO6RCsEljuavw/jwkmCTdfNMWbnhRzMbHbq7nVcRuaI5Kh+0JJHVXSK6WLlPB1lmBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T23:07:43.550607Z"},"content_sha256":"00b5ebd785d98feee580c52adc78362ae08dd5a8390577b81f78316c6f17da57","schema_version":"1.0","event_id":"sha256:00b5ebd785d98feee580c52adc78362ae08dd5a8390577b81f78316c6f17da57"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:VV6HWX7IODTUFJOYL2E36P76TI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Coincidence of algebraic and smooth theta correspondences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Binyong Sun, Yixin Bao","submitted_at":"2016-11-19T03:29:14Z","abstract_excerpt":"An \"automatic continuity\" question has naturally occurred since Roger Howe established the local theta correspondence over $\\mathbb R$: does the algebraic version of local theta correspondence over $\\mathbb R$ agrees with the smooth version? We show that the answer is yes, at least when the concerning dual pair has no quaternionic type I irreducible factor."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.06298","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:57:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AHJ02mFdTp/Dutksrv/KwoA23CmFqMoLngOt4JlApqUXbB51FJoJD+rVTQOASEL+jbl0BdIYgsjoiNASRThfAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T23:07:43.551079Z"},"content_sha256":"e0201b634ca9b890d4b43b52a096f9fc400c6d62e5a649a4f59f017c4762abcf","schema_version":"1.0","event_id":"sha256:e0201b634ca9b890d4b43b52a096f9fc400c6d62e5a649a4f59f017c4762abcf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VV6HWX7IODTUFJOYL2E36P76TI/bundle.json","state_url":"https://pith.science/pith/VV6HWX7IODTUFJOYL2E36P76TI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VV6HWX7IODTUFJOYL2E36P76TI/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-28T23:07:43Z","links":{"resolver":"https://pith.science/pith/VV6HWX7IODTUFJOYL2E36P76TI","bundle":"https://pith.science/pith/VV6HWX7IODTUFJOYL2E36P76TI/bundle.json","state":"https://pith.science/pith/VV6HWX7IODTUFJOYL2E36P76TI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VV6HWX7IODTUFJOYL2E36P76TI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:VV6HWX7IODTUFJOYL2E36P76TI","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":"2500d7c3ceaec7ac96f49f39146700bdfda1a956d4739871a486be3965a89330","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-11-19T03:29:14Z","title_canon_sha256":"9e349edc10cb0dcb794fcef8005c4ba0142aae7197d856ea6a4885bfb9f33bb7"},"schema_version":"1.0","source":{"id":"1611.06298","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.06298","created_at":"2026-05-18T00:57:39Z"},{"alias_kind":"arxiv_version","alias_value":"1611.06298v1","created_at":"2026-05-18T00:57:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.06298","created_at":"2026-05-18T00:57:39Z"},{"alias_kind":"pith_short_12","alias_value":"VV6HWX7IODTU","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"VV6HWX7IODTUFJOY","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"VV6HWX7I","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:e0201b634ca9b890d4b43b52a096f9fc400c6d62e5a649a4f59f017c4762abcf","target":"graph","created_at":"2026-05-18T00:57:39Z","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":"An \"automatic continuity\" question has naturally occurred since Roger Howe established the local theta correspondence over $\\mathbb R$: does the algebraic version of local theta correspondence over $\\mathbb R$ agrees with the smooth version? We show that the answer is yes, at least when the concerning dual pair has no quaternionic type I irreducible factor.","authors_text":"Binyong Sun, Yixin Bao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-11-19T03:29:14Z","title":"Coincidence of algebraic and smooth theta correspondences"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.06298","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":"sha256:00b5ebd785d98feee580c52adc78362ae08dd5a8390577b81f78316c6f17da57","target":"record","created_at":"2026-05-18T00:57:39Z","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":"2500d7c3ceaec7ac96f49f39146700bdfda1a956d4739871a486be3965a89330","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-11-19T03:29:14Z","title_canon_sha256":"9e349edc10cb0dcb794fcef8005c4ba0142aae7197d856ea6a4885bfb9f33bb7"},"schema_version":"1.0","source":{"id":"1611.06298","kind":"arxiv","version":1}},"canonical_sha256":"ad7c7b5fe870e742a5d85e89bf3ffe9a2dbdfabeb81f56742aa9dcb5b0531d35","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ad7c7b5fe870e742a5d85e89bf3ffe9a2dbdfabeb81f56742aa9dcb5b0531d35","first_computed_at":"2026-05-18T00:57:39.105084Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:39.105084Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WL92E7WD6jmnAVWLSWCE5Zdl5bXmvejK9bqw2zGerfekSQWEaZ4Gr84PIQDAZSPRb9Rvq63W3VSyYgygG/CeCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:39.105752Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.06298","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:00b5ebd785d98feee580c52adc78362ae08dd5a8390577b81f78316c6f17da57","sha256:e0201b634ca9b890d4b43b52a096f9fc400c6d62e5a649a4f59f017c4762abcf"],"state_sha256":"1c52cf84bffdea0e0839124e40dc57aaad716f1d45c38227915a02d37aa1cd8c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uTUeK3/vmTm/lPy1ovkJpE/5IpHLuV2FVhf/r931zmlW6Uz7T7GsLfQuFzrqz/M2ZgcGygAdMAlz9SaurY7VBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T23:07:43.553734Z","bundle_sha256":"f6a7c39687184f782907cadd48f6395a94f51eba48bc6f56ab79abb100727f21"}}