{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:PIYXDQZWTBPQJZWBZ2XIRNPA2M","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":"238d5af9bf4dec274b9b96648238001866091637c8813ae8ed03a0cf38065048","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2021-08-30T12:59:58Z","title_canon_sha256":"bbc3f4b9149c08963cf80138d39fa03dd4e2737623ab86264ba949f83bf89fcc"},"schema_version":"1.0","source":{"id":"2108.13198","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2108.13198","created_at":"2026-07-05T09:47:19Z"},{"alias_kind":"arxiv_version","alias_value":"2108.13198v5","created_at":"2026-07-05T09:47:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2108.13198","created_at":"2026-07-05T09:47:19Z"},{"alias_kind":"pith_short_12","alias_value":"PIYXDQZWTBPQ","created_at":"2026-07-05T09:47:19Z"},{"alias_kind":"pith_short_16","alias_value":"PIYXDQZWTBPQJZWB","created_at":"2026-07-05T09:47:19Z"},{"alias_kind":"pith_short_8","alias_value":"PIYXDQZW","created_at":"2026-07-05T09:47:19Z"}],"graph_snapshots":[{"event_id":"sha256:58f273fdd5a82222d0604dd41dd30c028b4062d4e909d4ec77c55c4f16c7a43b","target":"graph","created_at":"2026-07-05T09:47:19Z","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/2108.13198/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"By comparing two different evaluations of a modified (\\`{a} la Borcherds) higher Siegel theta lift on even lattices of signature $(r,s)$, we prove Eichler--Selberg type relations for a wide class of negative weight vector-valued mock modular forms. In doing so, we detail several properties of the lift, as well as showing that it produces an infinite family of local (and locally harmonic) Maa{\\ss} forms on Grassmanians in certain signatures.","authors_text":"Andreas Mono, Joshua Males","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2021-08-30T12:59:58Z","title":"Local Maa{\\ss} forms and Eichler--Selberg type relations for negative weight vector-valued mock modular forms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2108.13198","kind":"arxiv","version":5},"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":"sha256:31e3936bc7f636683ebc32f30a32c58a74d0557c5b355f2b8c6888ec92730916","target":"record","created_at":"2026-07-05T09:47:19Z","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":"238d5af9bf4dec274b9b96648238001866091637c8813ae8ed03a0cf38065048","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2021-08-30T12:59:58Z","title_canon_sha256":"bbc3f4b9149c08963cf80138d39fa03dd4e2737623ab86264ba949f83bf89fcc"},"schema_version":"1.0","source":{"id":"2108.13198","kind":"arxiv","version":5}},"canonical_sha256":"7a3171c336985f04e6c1ceae88b5e0d33be61187d34eaf07e941aaf237146b74","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7a3171c336985f04e6c1ceae88b5e0d33be61187d34eaf07e941aaf237146b74","first_computed_at":"2026-07-05T09:47:19.839520Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:47:19.839520Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6gnwPRutx8MbVp1SIFB4phXTxZ10BuKD9q8hyk1tdIpGq36Whz0R2WI9SUrzGn5/EK/oDo4ZZYvgTXqWh+5bAg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:47:19.840039Z","signed_message":"canonical_sha256_bytes"},"source_id":"2108.13198","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:31e3936bc7f636683ebc32f30a32c58a74d0557c5b355f2b8c6888ec92730916","sha256:58f273fdd5a82222d0604dd41dd30c028b4062d4e909d4ec77c55c4f16c7a43b"],"state_sha256":"08f7a0df2c19fbdaa72409c24f4065fee2097734bfa4e2bc46e926eeb357a037"}