{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:MUN656663GXTQGS2MLNLQTMXES","short_pith_number":"pith:MUN65666","canonical_record":{"source":{"id":"2408.05198","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2024-08-09T17:41:04Z","cross_cats_sorted":[],"title_canon_sha256":"bcf8b3c7939e569fa6431ae7bbebf08a6c60cbd7747d8839d39cf4e56c55be7a","abstract_canon_sha256":"881a75fcba23b7e056f4887c9edc58042125d25e829cc487c6e706e69bfae257"},"schema_version":"1.0"},"canonical_sha256":"651beefbded9af381a5a62dab84d97248a11c5d172c8ed6cdbe25a0cd0d78462","source":{"kind":"arxiv","id":"2408.05198","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.05198","created_at":"2026-05-28T01:04:06Z"},{"alias_kind":"arxiv_version","alias_value":"2408.05198v2","created_at":"2026-05-28T01:04:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.05198","created_at":"2026-05-28T01:04:06Z"},{"alias_kind":"pith_short_12","alias_value":"MUN656663GXT","created_at":"2026-05-28T01:04:06Z"},{"alias_kind":"pith_short_16","alias_value":"MUN656663GXTQGS2","created_at":"2026-05-28T01:04:06Z"},{"alias_kind":"pith_short_8","alias_value":"MUN65666","created_at":"2026-05-28T01:04:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:MUN656663GXTQGS2MLNLQTMXES","target":"record","payload":{"canonical_record":{"source":{"id":"2408.05198","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2024-08-09T17:41:04Z","cross_cats_sorted":[],"title_canon_sha256":"bcf8b3c7939e569fa6431ae7bbebf08a6c60cbd7747d8839d39cf4e56c55be7a","abstract_canon_sha256":"881a75fcba23b7e056f4887c9edc58042125d25e829cc487c6e706e69bfae257"},"schema_version":"1.0"},"canonical_sha256":"651beefbded9af381a5a62dab84d97248a11c5d172c8ed6cdbe25a0cd0d78462","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-28T01:04:06.541697Z","signature_b64":"d68NEHEmHlwrHuVB0mfLBHD1jGqn4qFJNHWekBXp0VRg0A7p2p82zB5cRk0ZPHhKOTEy/1eB/1FNalfnRRlvBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"651beefbded9af381a5a62dab84d97248a11c5d172c8ed6cdbe25a0cd0d78462","last_reissued_at":"2026-05-28T01:04:06.541058Z","signature_status":"signed_v1","first_computed_at":"2026-05-28T01:04:06.541058Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2408.05198","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-28T01:04:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7GcTphAlsiU1dJGoiqkCReU/LvO3avOG3/IwPaf5EZj4KbZ4D62lXVQdULd6R9JRFRAzOQticYYgL6ZrG5a5DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T03:52:33.987812Z"},"content_sha256":"cb25945db057fec60f071940fc5aa40dd52639f66d6e0ebc4bf5acec80f2833a","schema_version":"1.0","event_id":"sha256:cb25945db057fec60f071940fc5aa40dd52639f66d6e0ebc4bf5acec80f2833a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:MUN656663GXTQGS2MLNLQTMXES","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Constructing vector-valued automorphic forms on unitary groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Claire Frechette, David Marcil, Ellen Eischen, Pavel \\v{C}oupek, Serin Hong, Si Ying Lee, Thomas L. Browning","submitted_at":"2024-08-09T17:41:04Z","abstract_excerpt":"We introduce a method for producing vector-valued automorphic forms on unitary groups from scalar-valued ones. As an application, we construct an explicit example. Our strategy employs certain differential operators. It is inspired by work of Cl\\'ery and van der Geer in the setting of Siegel modular forms, but it also requires overcoming challenges that do not arise in the Siegel setting."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.05198","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2408.05198/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-05-28T01:04:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jdj5e8SlCtO/d0M6sd155MrvIoZ318GMHxApZIcmHcVHAEWyTcAG9GfWNBlprJx4jVVzc8lKPtaAawMRsT1RBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T03:52:33.988193Z"},"content_sha256":"8636c5b1d50d1867c474ef5cfd78ae10edc30ea6896e2aae022f3dd455ccf900","schema_version":"1.0","event_id":"sha256:8636c5b1d50d1867c474ef5cfd78ae10edc30ea6896e2aae022f3dd455ccf900"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MUN656663GXTQGS2MLNLQTMXES/bundle.json","state_url":"https://pith.science/pith/MUN656663GXTQGS2MLNLQTMXES/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MUN656663GXTQGS2MLNLQTMXES/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":"2026-05-31T03:52:33Z","links":{"resolver":"https://pith.science/pith/MUN656663GXTQGS2MLNLQTMXES","bundle":"https://pith.science/pith/MUN656663GXTQGS2MLNLQTMXES/bundle.json","state":"https://pith.science/pith/MUN656663GXTQGS2MLNLQTMXES/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MUN656663GXTQGS2MLNLQTMXES/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:MUN656663GXTQGS2MLNLQTMXES","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":"881a75fcba23b7e056f4887c9edc58042125d25e829cc487c6e706e69bfae257","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2024-08-09T17:41:04Z","title_canon_sha256":"bcf8b3c7939e569fa6431ae7bbebf08a6c60cbd7747d8839d39cf4e56c55be7a"},"schema_version":"1.0","source":{"id":"2408.05198","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.05198","created_at":"2026-05-28T01:04:06Z"},{"alias_kind":"arxiv_version","alias_value":"2408.05198v2","created_at":"2026-05-28T01:04:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.05198","created_at":"2026-05-28T01:04:06Z"},{"alias_kind":"pith_short_12","alias_value":"MUN656663GXT","created_at":"2026-05-28T01:04:06Z"},{"alias_kind":"pith_short_16","alias_value":"MUN656663GXTQGS2","created_at":"2026-05-28T01:04:06Z"},{"alias_kind":"pith_short_8","alias_value":"MUN65666","created_at":"2026-05-28T01:04:06Z"}],"graph_snapshots":[{"event_id":"sha256:8636c5b1d50d1867c474ef5cfd78ae10edc30ea6896e2aae022f3dd455ccf900","target":"graph","created_at":"2026-05-28T01:04:06Z","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/2408.05198/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce a method for producing vector-valued automorphic forms on unitary groups from scalar-valued ones. As an application, we construct an explicit example. Our strategy employs certain differential operators. It is inspired by work of Cl\\'ery and van der Geer in the setting of Siegel modular forms, but it also requires overcoming challenges that do not arise in the Siegel setting.","authors_text":"Claire Frechette, David Marcil, Ellen Eischen, Pavel \\v{C}oupek, Serin Hong, Si Ying Lee, Thomas L. Browning","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2024-08-09T17:41:04Z","title":"Constructing vector-valued automorphic forms on unitary groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.05198","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:cb25945db057fec60f071940fc5aa40dd52639f66d6e0ebc4bf5acec80f2833a","target":"record","created_at":"2026-05-28T01:04:06Z","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":"881a75fcba23b7e056f4887c9edc58042125d25e829cc487c6e706e69bfae257","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2024-08-09T17:41:04Z","title_canon_sha256":"bcf8b3c7939e569fa6431ae7bbebf08a6c60cbd7747d8839d39cf4e56c55be7a"},"schema_version":"1.0","source":{"id":"2408.05198","kind":"arxiv","version":2}},"canonical_sha256":"651beefbded9af381a5a62dab84d97248a11c5d172c8ed6cdbe25a0cd0d78462","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"651beefbded9af381a5a62dab84d97248a11c5d172c8ed6cdbe25a0cd0d78462","first_computed_at":"2026-05-28T01:04:06.541058Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-28T01:04:06.541058Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"d68NEHEmHlwrHuVB0mfLBHD1jGqn4qFJNHWekBXp0VRg0A7p2p82zB5cRk0ZPHhKOTEy/1eB/1FNalfnRRlvBg==","signature_status":"signed_v1","signed_at":"2026-05-28T01:04:06.541697Z","signed_message":"canonical_sha256_bytes"},"source_id":"2408.05198","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cb25945db057fec60f071940fc5aa40dd52639f66d6e0ebc4bf5acec80f2833a","sha256:8636c5b1d50d1867c474ef5cfd78ae10edc30ea6896e2aae022f3dd455ccf900"],"state_sha256":"55904671f3f9c0dd2f2632c3047f1133fff9690cf38bd49326f2ad2da9f41c90"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uLNA60OS2TlP4kNWQ378w/Sm0HVLYYnwgPZNH//TdSthUouRI9BK8B1fgK0iJ4GVZTO6RDR5gOHjaOO/BaBADA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T03:52:33.990343Z","bundle_sha256":"36bb4ff300e88d3f68461cdff663501d2279f0349bed3f311f32c4bec44de610"}}