{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:RJHHQB4OXSFA6POG3MPKX2FWC4","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":"9b901e412e5b47b282b6bf9b1721219ce4a76ca615333fba27a9d3ebc7ffc655","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2023-11-29T15:51:07Z","title_canon_sha256":"4df9084643da5cdeb8c0986bf10baf03427c6e58462561170056e3cf69ee0870"},"schema_version":"1.0","source":{"id":"2311.17747","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.17747","created_at":"2026-07-05T08:52:51Z"},{"alias_kind":"arxiv_version","alias_value":"2311.17747v2","created_at":"2026-07-05T08:52:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.17747","created_at":"2026-07-05T08:52:51Z"},{"alias_kind":"pith_short_12","alias_value":"RJHHQB4OXSFA","created_at":"2026-07-05T08:52:51Z"},{"alias_kind":"pith_short_16","alias_value":"RJHHQB4OXSFA6POG","created_at":"2026-07-05T08:52:51Z"},{"alias_kind":"pith_short_8","alias_value":"RJHHQB4O","created_at":"2026-07-05T08:52:51Z"}],"graph_snapshots":[{"event_id":"sha256:9a7ee351dd11ed62ad857b5c6f9ac7d64683ba0e12f9965386e127b397883ec8","target":"graph","created_at":"2026-07-05T08:52:51Z","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/2311.17747/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce equivariant L-genera associated to actions of Galois and related groups on algebraic varieties. We explain the role which these L-genera play in the spectral analysis of Eisenstein series. We also discuss the natural categorification of L-genera and its potential role in enumerative geometry.","authors_text":"Andrei Okounkov, David Kazhdan","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2023-11-29T15:51:07Z","title":"L-function genera and applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.17747","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":"sha256:9b9ad7ea084beabcf7f7ff71267d0fd3dd225be910f0f3781a8c3b8b2f960ab8","target":"record","created_at":"2026-07-05T08:52:51Z","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":"9b901e412e5b47b282b6bf9b1721219ce4a76ca615333fba27a9d3ebc7ffc655","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2023-11-29T15:51:07Z","title_canon_sha256":"4df9084643da5cdeb8c0986bf10baf03427c6e58462561170056e3cf69ee0870"},"schema_version":"1.0","source":{"id":"2311.17747","kind":"arxiv","version":2}},"canonical_sha256":"8a4e78078ebc8a0f3dc6db1eabe8b6170b70c6e38892f6df5a144ee3e62595c1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8a4e78078ebc8a0f3dc6db1eabe8b6170b70c6e38892f6df5a144ee3e62595c1","first_computed_at":"2026-07-05T08:52:51.442243Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:52:51.442243Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EGiAspTiXJeVOY5moasvELcK7YSPoukJEE67Cp0H1qxCIjoAOYgvAemrmLb8h1I5eqVX+Vh8MQs4/5Lg41P1CA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:52:51.442744Z","signed_message":"canonical_sha256_bytes"},"source_id":"2311.17747","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9b9ad7ea084beabcf7f7ff71267d0fd3dd225be910f0f3781a8c3b8b2f960ab8","sha256:9a7ee351dd11ed62ad857b5c6f9ac7d64683ba0e12f9965386e127b397883ec8"],"state_sha256":"ab16ea8229717152fd0acb39bf4e53e788c027e36c9dcc02071f3bd7b661c998"}