{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:2UB2LMP7HKWGTPWDLZJKAVGKGO","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":"de943e36c61d5b29b583d121066db5bed616b4c4cbe5dca44517a442c9457fd5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-07-25T12:18:07Z","title_canon_sha256":"00e082e65968645105fd9f953417573517d32f37ebc52aa36e222318f94b2da6"},"schema_version":"1.0","source":{"id":"1107.4915","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.4915","created_at":"2026-05-18T03:38:23Z"},{"alias_kind":"arxiv_version","alias_value":"1107.4915v2","created_at":"2026-05-18T03:38:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.4915","created_at":"2026-05-18T03:38:23Z"},{"alias_kind":"pith_short_12","alias_value":"2UB2LMP7HKWG","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"2UB2LMP7HKWGTPWD","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"2UB2LMP7","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:6ff300499120c4b2360dd0c14fc5db490356689f0501622edd06e31fc6807739","target":"graph","created_at":"2026-05-18T03:38:23Z","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":"We explicitly calculate some Gromov--Witten correspondences determined by maps of labeled curves of genus zero to the moduli spaces of labeled curves of genus zero. We consider these calculations as the first step towards studying the self--referential nature of motivic quantum cohomology.","authors_text":"Maxim Smirnov, Yuri I. Manin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-07-25T12:18:07Z","title":"Towards motivic quantum cohomology of $\\bar{M}_{0,S}$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.4915","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":"sha256:69edc98853084dea178de63d4e12c6a15036f1282f56736151046898b0796a9b","target":"record","created_at":"2026-05-18T03:38:23Z","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":"de943e36c61d5b29b583d121066db5bed616b4c4cbe5dca44517a442c9457fd5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-07-25T12:18:07Z","title_canon_sha256":"00e082e65968645105fd9f953417573517d32f37ebc52aa36e222318f94b2da6"},"schema_version":"1.0","source":{"id":"1107.4915","kind":"arxiv","version":2}},"canonical_sha256":"d503a5b1ff3aac69bec35e52a054ca33b4f5e76bc7fe7d4584c59e7449e8d38d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d503a5b1ff3aac69bec35e52a054ca33b4f5e76bc7fe7d4584c59e7449e8d38d","first_computed_at":"2026-05-18T03:38:23.893163Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:38:23.893163Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZS1EIs6Fkss9CsfBnXXcklZmdYZSSRtmBllMnSv8jNAnLD/v4r3scXRuGr4jwGC4YyGR8ZQnJbrZ4Ws5VeDSBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:38:23.893803Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.4915","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:69edc98853084dea178de63d4e12c6a15036f1282f56736151046898b0796a9b","sha256:6ff300499120c4b2360dd0c14fc5db490356689f0501622edd06e31fc6807739"],"state_sha256":"a2e265f8f2c2b8d963772c4f9c5aff64d2c94150133762a8b5dc5d70e2d92025"}