{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:QU2DFTM6BZSYJHLQK4Y6WQH6WR","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":"4fbacfe380a6cbf357d9726a7eef27c181105b6e10a6a529bbacf770753a3803","cross_cats_sorted":["math.RT","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-04-19T05:31:56Z","title_canon_sha256":"f8b6f0ef0945886698de2d589d8e76c3d659e03ac31af7106a75da4cee1af863"},"schema_version":"1.0","source":{"id":"1504.04795","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.04795","created_at":"2026-05-18T00:05:08Z"},{"alias_kind":"arxiv_version","alias_value":"1504.04795v1","created_at":"2026-05-18T00:05:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.04795","created_at":"2026-05-18T00:05:08Z"},{"alias_kind":"pith_short_12","alias_value":"QU2DFTM6BZSY","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"QU2DFTM6BZSYJHLQ","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"QU2DFTM6","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:77ebc6220c5cfb67a272b192705d927e577d7f6479b85c28a0a20839ad23ee68","target":"graph","created_at":"2026-05-18T00:05:08Z","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":"This is a sequel to arXiv:1308.3604. We study applications to limit multiplicity generalizing the results of arXiv:1208.2257.","authors_text":"Erez Lapid, Tobias Finis","cross_cats":["math.RT","math.SP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-04-19T05:31:56Z","title":"An approximation principle for congruence subgroups II: application to the limit multiplicity problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.04795","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:d9413521ebf57416eae74866c5b7e6e28b7a1bdb83646846738c5337bf7ed5ad","target":"record","created_at":"2026-05-18T00:05:08Z","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":"4fbacfe380a6cbf357d9726a7eef27c181105b6e10a6a529bbacf770753a3803","cross_cats_sorted":["math.RT","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-04-19T05:31:56Z","title_canon_sha256":"f8b6f0ef0945886698de2d589d8e76c3d659e03ac31af7106a75da4cee1af863"},"schema_version":"1.0","source":{"id":"1504.04795","kind":"arxiv","version":1}},"canonical_sha256":"853432cd9e0e65849d705731eb40feb448235d4a20c441bf1f209d0632a7d2ac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"853432cd9e0e65849d705731eb40feb448235d4a20c441bf1f209d0632a7d2ac","first_computed_at":"2026-05-18T00:05:08.172556Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:05:08.172556Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZcpEF2QhmdaCmwZ2F0HfGuX1KXBIONNRCE85CW4vHz89+cO2nxVmZAZCFhc1VbKgVTmyjfJ0O7NxmiN6VEwdBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:05:08.173270Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.04795","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d9413521ebf57416eae74866c5b7e6e28b7a1bdb83646846738c5337bf7ed5ad","sha256:77ebc6220c5cfb67a272b192705d927e577d7f6479b85c28a0a20839ad23ee68"],"state_sha256":"8fd0c9d3bca82333a727e51a20597417fb429561c19913ea49fec928ce06afeb"}