{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:A6MUCK4MXIUG26BC5KQURCCAPN","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":"b034a02d4485adc479a6cfa2fb841e4c9f970e98709ae7b6a1b8fd39a7edc2b0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-10-21T07:48:03Z","title_canon_sha256":"7698787c8d9c6dfec6b410d0076f4b07b7fcca92af992192b40521335340c715"},"schema_version":"1.0","source":{"id":"1110.4717","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.4717","created_at":"2026-05-18T04:10:35Z"},{"alias_kind":"arxiv_version","alias_value":"1110.4717v1","created_at":"2026-05-18T04:10:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.4717","created_at":"2026-05-18T04:10:35Z"},{"alias_kind":"pith_short_12","alias_value":"A6MUCK4MXIUG","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"A6MUCK4MXIUG26BC","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"A6MUCK4M","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:c84d0f8961e6a5df42128595511f6da66d3b50d6ed202415835950e13964aa95","target":"graph","created_at":"2026-05-18T04:10:35Z","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":"We prove the optimal upper bound sum || f ||_4^4 << q^{eps} where f runs over an orthonormal basis of Maass cusp forms of prime level q and bounded spectral parameter.","authors_text":"Valentin Blomer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-10-21T07:48:03Z","title":"On the 4-norm of an automorphic form"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.4717","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:feb1c8385ab0f06a411763dcffd0fd3d061f26ed4a5832251a1c4fd6c5217f8c","target":"record","created_at":"2026-05-18T04:10:35Z","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":"b034a02d4485adc479a6cfa2fb841e4c9f970e98709ae7b6a1b8fd39a7edc2b0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-10-21T07:48:03Z","title_canon_sha256":"7698787c8d9c6dfec6b410d0076f4b07b7fcca92af992192b40521335340c715"},"schema_version":"1.0","source":{"id":"1110.4717","kind":"arxiv","version":1}},"canonical_sha256":"0799412b8cba286d7822eaa14888407b5f5390815721a6e1661447df749db135","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0799412b8cba286d7822eaa14888407b5f5390815721a6e1661447df749db135","first_computed_at":"2026-05-18T04:10:35.212298Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:10:35.212298Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"k4KTndD7AL8g5PcS4rKHiNa2Z+956qhBLiCYvxnvlQjF/iLHzwrOwq378jby9+Vb+923akYMNpjrqK05b0mPDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:10:35.213025Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.4717","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:feb1c8385ab0f06a411763dcffd0fd3d061f26ed4a5832251a1c4fd6c5217f8c","sha256:c84d0f8961e6a5df42128595511f6da66d3b50d6ed202415835950e13964aa95"],"state_sha256":"d7468baeaea944fb760719395098e52bffb2c04662d3e156a4fc8efc336379b8"}