{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:CBLMVWCK3MTIXOBLWH2LVE4YAR","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":"b70216bd2b47a1aa1895617409b294092c0833137e103e3b622e08cc4c9a1335","cross_cats_sorted":["math.NT"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.CV","submitted_at":"2024-06-11T18:13:42Z","title_canon_sha256":"6667cf049afad511aa658ade4df093d970aa707d04599b2cf158026826e620ee"},"schema_version":"1.0","source":{"id":"2406.07639","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.07639","created_at":"2026-07-05T12:01:18Z"},{"alias_kind":"arxiv_version","alias_value":"2406.07639v2","created_at":"2026-07-05T12:01:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.07639","created_at":"2026-07-05T12:01:18Z"},{"alias_kind":"pith_short_12","alias_value":"CBLMVWCK3MTI","created_at":"2026-07-05T12:01:18Z"},{"alias_kind":"pith_short_16","alias_value":"CBLMVWCK3MTIXOBL","created_at":"2026-07-05T12:01:18Z"},{"alias_kind":"pith_short_8","alias_value":"CBLMVWCK","created_at":"2026-07-05T12:01:18Z"}],"graph_snapshots":[{"event_id":"sha256:271ecd2ace33e79ed72a438b33ac381367bbb274c6a806fc0165b6bed4d8fe0e","target":"graph","created_at":"2026-07-05T12:01:18Z","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/2406.07639/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"For $n\\geq 2$, let $\\Gamma\\subset \\mathrm{SU}((n,1),\\mathcal{O}_{K})$ be a torsion-free, finite-index subgroup, where $\\mathcal{O}_K$ denotes the ring of integers of a totally imaginary number field $K$ of degree $2$. Let $\\mathbb{B}^n$ denote the $n$-dimensional complex ball endowed with the hyperbolic metric, and let $X_{\\Gamma}:=\\Gamma\\backslash \\mathbb{B}^n$ denote the quotient space. Furthermore, let $\\mu_{\\mathrm{hyp}}^{\\mathrm{vol}}$ denote the volume form associated to the hyperbolic metric. Let $\\Lambda:=\\Omega_{\\overline{X}_{\\Gamma}}^{n}$ denote the line bundle, where $\\overline{X}_{","authors_text":"Anilatmaja Aryasomayajula, Baskar Balasubramanyam","cross_cats":["math.NT"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.CV","submitted_at":"2024-06-11T18:13:42Z","title":"Estimates of automorphic forms on $\\mathrm{SU}(n,1)$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.07639","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:fe649bec399cf6546afd6479fe53a02217e13c9e615c4f67b70579d233023c09","target":"record","created_at":"2026-07-05T12:01:18Z","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":"b70216bd2b47a1aa1895617409b294092c0833137e103e3b622e08cc4c9a1335","cross_cats_sorted":["math.NT"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.CV","submitted_at":"2024-06-11T18:13:42Z","title_canon_sha256":"6667cf049afad511aa658ade4df093d970aa707d04599b2cf158026826e620ee"},"schema_version":"1.0","source":{"id":"2406.07639","kind":"arxiv","version":2}},"canonical_sha256":"1056cad84adb268bb82bb1f4ba9398045ec33c9f53093e5678d09a607caba476","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1056cad84adb268bb82bb1f4ba9398045ec33c9f53093e5678d09a607caba476","first_computed_at":"2026-07-05T12:01:18.455433Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:01:18.455433Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Hdenf1xT5i9HIN8/lxCFzTzQUa9O1vem/OTYrmgKNcQMPjCSzmylQ1lydKcsI2U9IHPlJRFJLw6SgTd8WEOWCA==","signature_status":"signed_v1","signed_at":"2026-07-05T12:01:18.455964Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.07639","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe649bec399cf6546afd6479fe53a02217e13c9e615c4f67b70579d233023c09","sha256:271ecd2ace33e79ed72a438b33ac381367bbb274c6a806fc0165b6bed4d8fe0e"],"state_sha256":"2c13e87fbc514e53b31162bb23ec2ca064675184e07a24775dd1d496cb835e2d"}