{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:WXLGFT6TQ6SLSMLDVVYKVO4XOM","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":"548e06fde6518385b567275dff27b0c0fb9afead673a197a9b613946edfdefbc","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2025-11-20T14:14:16Z","title_canon_sha256":"6a8e2c87bcae3d09241a9b1f23481d028393cf1ac7d97d5abb2274fc4f11069b"},"schema_version":"1.0","source":{"id":"2511.16396","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2511.16396","created_at":"2026-06-19T16:10:32Z"},{"alias_kind":"arxiv_version","alias_value":"2511.16396v2","created_at":"2026-06-19T16:10:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2511.16396","created_at":"2026-06-19T16:10:32Z"},{"alias_kind":"pith_short_12","alias_value":"WXLGFT6TQ6SL","created_at":"2026-06-19T16:10:32Z"},{"alias_kind":"pith_short_16","alias_value":"WXLGFT6TQ6SLSMLD","created_at":"2026-06-19T16:10:32Z"},{"alias_kind":"pith_short_8","alias_value":"WXLGFT6T","created_at":"2026-06-19T16:10:32Z"}],"graph_snapshots":[{"event_id":"sha256:ae6033742d760833ec20f3e6cbe0901343eb8b9fcb7faba2167c19818c75c075","target":"graph","created_at":"2026-06-19T16:10:32Z","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/2511.16396/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove formulas for generalized rank deviations for overpartitions. These formulas are in terms of Appell-Lerch series and sums of quotients of theta functions and extend work of Lovejoy and the second author. As an application, we compute a dissection.","authors_text":"Kevin Allen, Matthias Storzer, Robert Osburn","cross_cats":["math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2025-11-20T14:14:16Z","title":"Generalized rank deviations for overpartitions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2511.16396","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:e6c974ae9801b18ad1564ff2375a5348fc34bef44758288e007a0535dc9b4ed3","target":"record","created_at":"2026-06-19T16:10:32Z","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":"548e06fde6518385b567275dff27b0c0fb9afead673a197a9b613946edfdefbc","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2025-11-20T14:14:16Z","title_canon_sha256":"6a8e2c87bcae3d09241a9b1f23481d028393cf1ac7d97d5abb2274fc4f11069b"},"schema_version":"1.0","source":{"id":"2511.16396","kind":"arxiv","version":2}},"canonical_sha256":"b5d662cfd387a4b93163ad70aabb9773051707417af32ff4df927d8d92f28e98","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b5d662cfd387a4b93163ad70aabb9773051707417af32ff4df927d8d92f28e98","first_computed_at":"2026-06-19T16:10:32.447572Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:10:32.447572Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JoTY9fXXAaCGuAdbn2jkSSyjiuxH29shmHH4jS8pipqP+ZvbLzT0Hc6euheCb8SJZ8uPFph9I3qCNOSpXi/OAQ==","signature_status":"signed_v1","signed_at":"2026-06-19T16:10:32.448037Z","signed_message":"canonical_sha256_bytes"},"source_id":"2511.16396","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e6c974ae9801b18ad1564ff2375a5348fc34bef44758288e007a0535dc9b4ed3","sha256:ae6033742d760833ec20f3e6cbe0901343eb8b9fcb7faba2167c19818c75c075"],"state_sha256":"5602e5ee3c44ae4c5f4d58fbd3a9a636661ecd96fadb404858012fba40db8ada"}