{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:IIUIUVCFFL46PLR7WT2LLIHGLB","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":"63cd9c0d03dcfb7479b121f64651396f31143c8eca31ddb2b9e799e66610f95c","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.FA","submitted_at":"2026-07-27T17:54:15Z","title_canon_sha256":"fb193ad1a2d3dac9003df79e129580a69152c49446a78e2f2bb4507d4354745c"},"schema_version":"1.0","source":{"id":"2607.24719","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.24719","created_at":"2026-07-28T02:24:24Z"},{"alias_kind":"arxiv_version","alias_value":"2607.24719v1","created_at":"2026-07-28T02:24:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.24719","created_at":"2026-07-28T02:24:24Z"},{"alias_kind":"pith_short_12","alias_value":"IIUIUVCFFL46","created_at":"2026-07-28T02:24:24Z"},{"alias_kind":"pith_short_16","alias_value":"IIUIUVCFFL46PLR7","created_at":"2026-07-28T02:24:24Z"},{"alias_kind":"pith_short_8","alias_value":"IIUIUVCF","created_at":"2026-07-28T02:24:24Z"}],"graph_snapshots":[{"event_id":"sha256:1b6e9c40a61475ab7b722559ca1c3ca19dd934c603f912fdddf968faca8e82df","target":"graph","created_at":"2026-07-28T02:24:24Z","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/2607.24719/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We extend the theory of the first chiral homology group of vertex algebras, developed by van\n  Ekeren and Heluani for elliptic curves, to compact Riemann surfaces of arbitrary genus. Our\n  approach realizes a genus $g$ surface by iterated self-sewing of $g$ handles onto the Riemann\n  sphere, each governed by a sewing parameter $\\rho_i$ in a punctured disc, so that the\n  construction of van Ekeren-Heluani is recovered.\n  We construct an explicit complex computing the chiral homology groups $H^{\\mathrm{ch}}_0$ and\n  $H^{\\mathrm{ch}}_1$ of a vertex algebra $V$ on a genus $g$ surface with $n$ mark","authors_text":"A. Zuevsky","cross_cats":[],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.FA","submitted_at":"2026-07-27T17:54:15Z","title":"The first chiral homology group in higher genus"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.24719","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":"sha256:451b33cc78f9923162bd5b9ebcbb866ef6ef15b7c393db178ede855e379ba62a","target":"record","created_at":"2026-07-28T02:24:24Z","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":"63cd9c0d03dcfb7479b121f64651396f31143c8eca31ddb2b9e799e66610f95c","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.FA","submitted_at":"2026-07-27T17:54:15Z","title_canon_sha256":"fb193ad1a2d3dac9003df79e129580a69152c49446a78e2f2bb4507d4354745c"},"schema_version":"1.0","source":{"id":"2607.24719","kind":"arxiv","version":1}},"canonical_sha256":"42288a54452af9e7ae3fb4f4b5a0e6586ac2260aaf0d769e99a8a5fe9792a261","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"42288a54452af9e7ae3fb4f4b5a0e6586ac2260aaf0d769e99a8a5fe9792a261","first_computed_at":"2026-07-28T02:24:24.028010Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-28T02:24:24.028010Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qII8jtqgQkzkjN41byPWDa5lvF8qtGa1Q2bEjpMEO3w2KqCJGppVYLUpCF2XjsglWfX+zlLsZI33URuAUbXQCQ==","signature_status":"signed_v1","signed_at":"2026-07-28T02:24:24.028781Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.24719","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:451b33cc78f9923162bd5b9ebcbb866ef6ef15b7c393db178ede855e379ba62a","sha256:1b6e9c40a61475ab7b722559ca1c3ca19dd934c603f912fdddf968faca8e82df"],"state_sha256":"ffbdac01315c5ccb4d52ec1e63c0f0f6ff9b9cb0c44ea43faf006a9fc1fb9258"}