{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:LOIMDYRY5MU2AO3S2YDOCPTWZR","short_pith_number":"pith:LOIMDYRY","canonical_record":{"source":{"id":"1812.03134","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-12-07T17:48:14Z","cross_cats_sorted":[],"title_canon_sha256":"337f62b6acc106f848c5694b712200dee0474c711d36ae7bf88497705985139f","abstract_canon_sha256":"bb42bfe9b2a125c4a4748a3f4bf0f679f70e2535a212502a72bb2a82a42b11e3"},"schema_version":"1.0"},"canonical_sha256":"5b90c1e238eb29a03b72d606e13e76cc6df8f1ba3e9340fb7308d6eee77f1378","source":{"kind":"arxiv","id":"1812.03134","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.03134","created_at":"2026-05-17T23:58:50Z"},{"alias_kind":"arxiv_version","alias_value":"1812.03134v1","created_at":"2026-05-17T23:58:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.03134","created_at":"2026-05-17T23:58:50Z"},{"alias_kind":"pith_short_12","alias_value":"LOIMDYRY5MU2","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"LOIMDYRY5MU2AO3S","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"LOIMDYRY","created_at":"2026-05-18T12:32:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:LOIMDYRY5MU2AO3S2YDOCPTWZR","target":"record","payload":{"canonical_record":{"source":{"id":"1812.03134","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-12-07T17:48:14Z","cross_cats_sorted":[],"title_canon_sha256":"337f62b6acc106f848c5694b712200dee0474c711d36ae7bf88497705985139f","abstract_canon_sha256":"bb42bfe9b2a125c4a4748a3f4bf0f679f70e2535a212502a72bb2a82a42b11e3"},"schema_version":"1.0"},"canonical_sha256":"5b90c1e238eb29a03b72d606e13e76cc6df8f1ba3e9340fb7308d6eee77f1378","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:58:50.847302Z","signature_b64":"PdFIAGD2sZTTpfpiwau/MC1TeMTRJ4vJPZ+hrBZRtlD2UMJ3pO67tHmuUN+i7WaMKH/sLAw7ePTDEqCIP20nBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5b90c1e238eb29a03b72d606e13e76cc6df8f1ba3e9340fb7308d6eee77f1378","last_reissued_at":"2026-05-17T23:58:50.846864Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:58:50.846864Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1812.03134","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":"2026-05-17T23:58:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h/IR82Bw2duFbiufTcw6CPywG3DNoqwuOKH6lQG1WygBTULEbZ5f2tInF5ZjV8L3zfypj9J4+TYEM0c3YokhCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T06:37:57.597530Z"},"content_sha256":"de705941a689b1ce8f149672bac69fa183aff601ee87d5e833d90215c96d5951","schema_version":"1.0","event_id":"sha256:de705941a689b1ce8f149672bac69fa183aff601ee87d5e833d90215c96d5951"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:LOIMDYRY5MU2AO3S2YDOCPTWZR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bounds for the number of cohomological automorphic representations of $GL_3/\\mathbb{Q}$ in the weight aspect","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Simon Marshall","submitted_at":"2018-12-07T17:48:14Z","abstract_excerpt":"We prove a power saving over the trivial bound for the number of cohomological cuspidal automorphic representations of fixed level and growing weight on $GL_3/\\mathbb{Q}$, by adapting the methods of our earlier paper on $GL_2$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.03134","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":"2026-05-17T23:58:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f3EE2/X+GxVJaq32/D1JwGtMafskRb+a7V/bgDCFFW+OIW+KT1eixHqtC6vvi3y46W9kU9hPD6/sd3K9ov+xDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T06:37:57.598243Z"},"content_sha256":"897a90887133457be682537a9435648afbd73da14f62a66cf1fcd1ce7cc39c2f","schema_version":"1.0","event_id":"sha256:897a90887133457be682537a9435648afbd73da14f62a66cf1fcd1ce7cc39c2f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LOIMDYRY5MU2AO3S2YDOCPTWZR/bundle.json","state_url":"https://pith.science/pith/LOIMDYRY5MU2AO3S2YDOCPTWZR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LOIMDYRY5MU2AO3S2YDOCPTWZR/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":"2026-06-11T06:37:57Z","links":{"resolver":"https://pith.science/pith/LOIMDYRY5MU2AO3S2YDOCPTWZR","bundle":"https://pith.science/pith/LOIMDYRY5MU2AO3S2YDOCPTWZR/bundle.json","state":"https://pith.science/pith/LOIMDYRY5MU2AO3S2YDOCPTWZR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LOIMDYRY5MU2AO3S2YDOCPTWZR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:LOIMDYRY5MU2AO3S2YDOCPTWZR","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":"bb42bfe9b2a125c4a4748a3f4bf0f679f70e2535a212502a72bb2a82a42b11e3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-12-07T17:48:14Z","title_canon_sha256":"337f62b6acc106f848c5694b712200dee0474c711d36ae7bf88497705985139f"},"schema_version":"1.0","source":{"id":"1812.03134","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.03134","created_at":"2026-05-17T23:58:50Z"},{"alias_kind":"arxiv_version","alias_value":"1812.03134v1","created_at":"2026-05-17T23:58:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.03134","created_at":"2026-05-17T23:58:50Z"},{"alias_kind":"pith_short_12","alias_value":"LOIMDYRY5MU2","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"LOIMDYRY5MU2AO3S","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"LOIMDYRY","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:897a90887133457be682537a9435648afbd73da14f62a66cf1fcd1ce7cc39c2f","target":"graph","created_at":"2026-05-17T23:58:50Z","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 a power saving over the trivial bound for the number of cohomological cuspidal automorphic representations of fixed level and growing weight on $GL_3/\\mathbb{Q}$, by adapting the methods of our earlier paper on $GL_2$.","authors_text":"Simon Marshall","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-12-07T17:48:14Z","title":"Bounds for the number of cohomological automorphic representations of $GL_3/\\mathbb{Q}$ in the weight aspect"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.03134","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:de705941a689b1ce8f149672bac69fa183aff601ee87d5e833d90215c96d5951","target":"record","created_at":"2026-05-17T23:58:50Z","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":"bb42bfe9b2a125c4a4748a3f4bf0f679f70e2535a212502a72bb2a82a42b11e3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-12-07T17:48:14Z","title_canon_sha256":"337f62b6acc106f848c5694b712200dee0474c711d36ae7bf88497705985139f"},"schema_version":"1.0","source":{"id":"1812.03134","kind":"arxiv","version":1}},"canonical_sha256":"5b90c1e238eb29a03b72d606e13e76cc6df8f1ba3e9340fb7308d6eee77f1378","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5b90c1e238eb29a03b72d606e13e76cc6df8f1ba3e9340fb7308d6eee77f1378","first_computed_at":"2026-05-17T23:58:50.846864Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:58:50.846864Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PdFIAGD2sZTTpfpiwau/MC1TeMTRJ4vJPZ+hrBZRtlD2UMJ3pO67tHmuUN+i7WaMKH/sLAw7ePTDEqCIP20nBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:58:50.847302Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.03134","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:de705941a689b1ce8f149672bac69fa183aff601ee87d5e833d90215c96d5951","sha256:897a90887133457be682537a9435648afbd73da14f62a66cf1fcd1ce7cc39c2f"],"state_sha256":"5130016170ca3d0b70bc72559a3bd5776c7780429f71c046ff2dead606670ff6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j7R9HxGKizcKaLjxcdFAMLZfNB86ye3IX51wHAwit6qFHJT3NO+yaVTHkJ5+aKMvJx8EYRhjmWyHUMYYmcjJCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T06:37:57.602667Z","bundle_sha256":"d3ad009edd07dfaca5315eccc5de624b4b80b93a978eebd35350d138065d69ff"}}