{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:BPTF2Y6W3MODXD6T5LHJN3VHEM","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":"fc878fa7825396142c7589f5b23b18d634653468184bdc516722fe76cfc7b258","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-12-04T23:35:25Z","title_canon_sha256":"7597fb8839e6c369e7dc5ae89a7b5fbc8c8ed95422401f0159d4a2e32f97010e"},"schema_version":"1.0","source":{"id":"1612.01206","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.01206","created_at":"2026-05-18T00:07:55Z"},{"alias_kind":"arxiv_version","alias_value":"1612.01206v1","created_at":"2026-05-18T00:07:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.01206","created_at":"2026-05-18T00:07:55Z"},{"alias_kind":"pith_short_12","alias_value":"BPTF2Y6W3MOD","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"BPTF2Y6W3MODXD6T","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"BPTF2Y6W","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:bc43060a410fb58e1257d17cd3160b2b7e6bfbbcccc1f5d3b1563a4327399c6f","target":"graph","created_at":"2026-05-18T00:07:55Z","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 $[\\overline{\\mathcal{B}}_{2,0,20}]$ and $[\\mathcal{B}_{2,0,20}]$ be the classes of the loci of stable resp. smooth bielliptic curves with 20 marked points where the bielliptic involution acts on the marked points as the permutation (1 2)...(19 20). Graber and Pandharipande proved that these classes are nontatoulogical. In this note we show that their result can be extended to prove that $[\\overline{\\mathcal{B}}_{g}]$ is nontautological for $g\\geq 12$ and that $[\\mathcal{B}_{12}]$ is nontautological.","authors_text":"Jason van Zelm","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-12-04T23:35:25Z","title":"Nontautological Bielliptic Cycles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.01206","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:fecaa9d7bd4a0a7e5b319a6b3289b960a81ab4b003314ceac3ae9ae048cdb3c7","target":"record","created_at":"2026-05-18T00:07:55Z","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":"fc878fa7825396142c7589f5b23b18d634653468184bdc516722fe76cfc7b258","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-12-04T23:35:25Z","title_canon_sha256":"7597fb8839e6c369e7dc5ae89a7b5fbc8c8ed95422401f0159d4a2e32f97010e"},"schema_version":"1.0","source":{"id":"1612.01206","kind":"arxiv","version":1}},"canonical_sha256":"0be65d63d6db1c3b8fd3eace96eea723057224e719f6f4ad8089165d0861b925","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0be65d63d6db1c3b8fd3eace96eea723057224e719f6f4ad8089165d0861b925","first_computed_at":"2026-05-18T00:07:55.728612Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:07:55.728612Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YwOCWfVunOox5jGBVaqvokc/fvbOdPSrK2kGEJmo+8xGxByktKfwD0vc7e3TqCD6MVwSlblLKEjfOsNGAUGaBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:07:55.729244Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.01206","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fecaa9d7bd4a0a7e5b319a6b3289b960a81ab4b003314ceac3ae9ae048cdb3c7","sha256:bc43060a410fb58e1257d17cd3160b2b7e6bfbbcccc1f5d3b1563a4327399c6f"],"state_sha256":"667b08832914f4061fdd6bbc153632fa9bafc7ce3b76582d552ba91d408ca4c9"}