{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:THGAHR62ZGSPD62HWK5I232CEU","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":"307185970d9b6fcbaa3df39cbd49bff635535c99d966b1504d138f9941ae0689","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-10-15T17:23:19Z","title_canon_sha256":"a3254fc2d7a4842c6b6723e48134f24d4db9df63f11f413110c4c2b51f64e72e"},"schema_version":"1.0","source":{"id":"0810.2744","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0810.2744","created_at":"2026-05-18T03:04:15Z"},{"alias_kind":"arxiv_version","alias_value":"0810.2744v3","created_at":"2026-05-18T03:04:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0810.2744","created_at":"2026-05-18T03:04:15Z"},{"alias_kind":"pith_short_12","alias_value":"THGAHR62ZGSP","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"THGAHR62ZGSPD62H","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"THGAHR62","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:38473b2885f0417c77c6f02cf919f757fff9a0be754c9f679460f6aa73fc5b4d","target":"graph","created_at":"2026-05-18T03:04:15Z","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":"In this work we compute the Chen--Ruan cohomology and the stringy Chow ring of the moduli spaces of smooth and stable $n$-pointed curves of genus 1. We suggest a definition for an Orbifold Tautological Ring in genus 1, which is both a subring of the Chen--Ruan cohomology and of the stringy Chow ring.","authors_text":"Nicola Pagani","cross_cats":["math.AT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-10-15T17:23:19Z","title":"Chen-Ruan cohomology of M_{1,n} and \\bar{M}_{1,n}"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0810.2744","kind":"arxiv","version":3},"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":"sha256:09e3156e32a69edb024b6f1dafeed76b40e903552bef24b4511d73a3e64ad247","target":"record","created_at":"2026-05-18T03:04:15Z","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":"307185970d9b6fcbaa3df39cbd49bff635535c99d966b1504d138f9941ae0689","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-10-15T17:23:19Z","title_canon_sha256":"a3254fc2d7a4842c6b6723e48134f24d4db9df63f11f413110c4c2b51f64e72e"},"schema_version":"1.0","source":{"id":"0810.2744","kind":"arxiv","version":3}},"canonical_sha256":"99cc03c7dac9a4f1fb47b2ba8d6f42251b13d21c68a1e3cbaca57e9ebd0ea26a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"99cc03c7dac9a4f1fb47b2ba8d6f42251b13d21c68a1e3cbaca57e9ebd0ea26a","first_computed_at":"2026-05-18T03:04:15.765401Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:04:15.765401Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AZVYgk+c+u4vS8Ags4Q1TH4yMKq5lx4IS4lBByHLBb8W8FokCFSn4ezoLica1yoefBihDOhxxogSiJhYouIlCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:04:15.766118Z","signed_message":"canonical_sha256_bytes"},"source_id":"0810.2744","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:09e3156e32a69edb024b6f1dafeed76b40e903552bef24b4511d73a3e64ad247","sha256:38473b2885f0417c77c6f02cf919f757fff9a0be754c9f679460f6aa73fc5b4d"],"state_sha256":"b8a21a9462779e9fa36c39ffa7a334f1eb69e5e2c5e7c3d74efff6080c61af08"}