{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:NTWCARSXF5GBJVKB5DUV6ADOKR","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":"d8e58e3ee9d1cca4bf170d6c1150795fd20aee4d18c2ce99aef8e6bd90e5b354","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-03-02T18:08:28Z","title_canon_sha256":"16a1a0b37b0641bec1ef8e4295b99fcb04e7e7bbdb52b6f168e82821063177ab"},"schema_version":"1.0","source":{"id":"1603.00813","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.00813","created_at":"2026-05-18T01:19:42Z"},{"alias_kind":"arxiv_version","alias_value":"1603.00813v1","created_at":"2026-05-18T01:19:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.00813","created_at":"2026-05-18T01:19:42Z"},{"alias_kind":"pith_short_12","alias_value":"NTWCARSXF5GB","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"NTWCARSXF5GBJVKB","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"NTWCARSX","created_at":"2026-05-18T12:30:36Z"}],"graph_snapshots":[{"event_id":"sha256:0eba1c5dd27f8dcf28b07811c125e061070d80cea7fcab7ced25ee043db19a82","target":"graph","created_at":"2026-05-18T01:19:42Z","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":"In this article we deal with the problem of counting the number of pairs of normalized eigenforms $ (f,g) $ of weight $k$ and level $N$ such that $ a_p (f) = a_p (g) $ where $a_p (f) $ denotes the $p-$th Fourier coefficient of $f$. Here $p$ is a fixed prime.","authors_text":"K. Srinivas, M. Ram Murty","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-03-02T18:08:28Z","title":"Some remarks related to Maeda's conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.00813","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":"sha256:3bedd3eff2582d017140bb119beb4c4ca5b52debdacf28becbee4105e02fc61a","target":"record","created_at":"2026-05-18T01:19:42Z","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":"d8e58e3ee9d1cca4bf170d6c1150795fd20aee4d18c2ce99aef8e6bd90e5b354","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-03-02T18:08:28Z","title_canon_sha256":"16a1a0b37b0641bec1ef8e4295b99fcb04e7e7bbdb52b6f168e82821063177ab"},"schema_version":"1.0","source":{"id":"1603.00813","kind":"arxiv","version":1}},"canonical_sha256":"6cec2046572f4c14d541e8e95f006e544f48186ccd950ff9f3d742ebe42c80f5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6cec2046572f4c14d541e8e95f006e544f48186ccd950ff9f3d742ebe42c80f5","first_computed_at":"2026-05-18T01:19:42.894071Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:42.894071Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9mK4C2yZAAJjQy6kd8LLitAITMvqAhn6Ad9NVh9NdHjCLFvBcHYye3F0LFyUoi82s7RCwxPmXgnYaC70gxXTDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:42.894855Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.00813","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3bedd3eff2582d017140bb119beb4c4ca5b52debdacf28becbee4105e02fc61a","sha256:0eba1c5dd27f8dcf28b07811c125e061070d80cea7fcab7ced25ee043db19a82"],"state_sha256":"f8fb34f3389f81baf811cafe52bc2e32b0279ebf17b5b8a0d33dbe8b4b6e994a"}