{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:PRLQYVOHKV6KUXLGFWA6XGMY24","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":"4783c6e1d267b5f67bb170c36887c43850a0aca0d452bb8e55594ac850b316a4","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-03-22T13:38:06Z","title_canon_sha256":"e7db3e8379f2f91eca92bb098151438a3c44e2d819d294fa0c777c7f5db92c95"},"schema_version":"1.0","source":{"id":"1803.08349","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.08349","created_at":"2026-05-18T00:20:23Z"},{"alias_kind":"arxiv_version","alias_value":"1803.08349v1","created_at":"2026-05-18T00:20:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.08349","created_at":"2026-05-18T00:20:23Z"},{"alias_kind":"pith_short_12","alias_value":"PRLQYVOHKV6K","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"PRLQYVOHKV6KUXLG","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"PRLQYVOH","created_at":"2026-05-18T12:32:46Z"}],"graph_snapshots":[{"event_id":"sha256:f1912a24ec3ec7ec622284d76ee45f39ca2688c1e337dd946fe9ad2ed9ecac43","target":"graph","created_at":"2026-05-18T00:20:23Z","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":"Let $\\overline{\\mathscr{M}}_{g, n}$ be the moduli space of $n$-pointed stable genus $g$ curves, and let $\\mathscr{M}_{g, n}$ be the moduli space of $n$-pointed smooth curves of genus $g.$ In this paper, we obtain an asymptotic expansion for the characteristic of the free modular operad $\\mathbb{M}\\mathcal{V}$ generated by a stable $\\mathbb{S}$-module $\\mathcal{V},$ allowing to effectively compute $\\mathbb{S}_{n}$-equivariant Euler characteristics of $\\overline{\\mathscr{M}}_{g, n}$ in terms of $\\mathbb{S}_{n'}$-equivariant Euler characteristics of $\\mathscr{M}_{g'\\!, n'}$ with $0\\le g' \\le g,$ ","authors_text":"Adrian Diaconu","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-03-22T13:38:06Z","title":"Equivariant Euler characteristics of $\\overline{\\mathscr{M}}_{g, n}$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.08349","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":"sha256:8a1aec526b3c98782c1aaae3da1de9b07180c4c18fafae8509c687add1ac6192","target":"record","created_at":"2026-05-18T00:20:23Z","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":"4783c6e1d267b5f67bb170c36887c43850a0aca0d452bb8e55594ac850b316a4","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-03-22T13:38:06Z","title_canon_sha256":"e7db3e8379f2f91eca92bb098151438a3c44e2d819d294fa0c777c7f5db92c95"},"schema_version":"1.0","source":{"id":"1803.08349","kind":"arxiv","version":1}},"canonical_sha256":"7c570c55c7557caa5d662d81eb9998d732ee00ea78bd9eced67e574a43b30bea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7c570c55c7557caa5d662d81eb9998d732ee00ea78bd9eced67e574a43b30bea","first_computed_at":"2026-05-18T00:20:23.089841Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:23.089841Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R3SxHOfK5KXLDxwfiF70HlVseW5YH8SpyrJJAsFb7qb1RhJCA6Q2Lkg8PA+dyXOUMdWea/S2/5Jf/gwXToHYAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:23.090507Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.08349","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8a1aec526b3c98782c1aaae3da1de9b07180c4c18fafae8509c687add1ac6192","sha256:f1912a24ec3ec7ec622284d76ee45f39ca2688c1e337dd946fe9ad2ed9ecac43"],"state_sha256":"9505926e53862e32375a382aaf81337939c275d2f2d4cb29034f1cbd01302f77"}