{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:4BRRGF2YFZMNXVRGV32J4DJRHG","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":"03a5048b94680d66c2a4eba5e95f876ca40de50782aa4bfde9da32022ce4eccd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-03-28T14:44:56Z","title_canon_sha256":"0ddfffbee13f7cf63d912f2d285bfadd07dd4f227637424abacf51ec3176ac30"},"schema_version":"1.0","source":{"id":"1903.12014","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.12014","created_at":"2026-05-17T23:49:58Z"},{"alias_kind":"arxiv_version","alias_value":"1903.12014v1","created_at":"2026-05-17T23:49:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.12014","created_at":"2026-05-17T23:49:58Z"},{"alias_kind":"pith_short_12","alias_value":"4BRRGF2YFZMN","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"4BRRGF2YFZMNXVRG","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"4BRRGF2Y","created_at":"2026-05-18T12:33:10Z"}],"graph_snapshots":[{"event_id":"sha256:77f88e45d1110d543999913113bdda0db58a0be25be8cd780ec82199ebdc7c32","target":"graph","created_at":"2026-05-17T23:49:58Z","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":"The Fano classification program proposed by Coates-Corti-Galkin-Golyshev-Kasprzyk is based on the mirror symmetry prediction that the regularized quantum period of a Fano should be equivalent to the classical period of its mirror Landau-Ginzburg potential. We prove that this mirror equivalence follows from versions of the Frobenius structure conjecture of Gross-Hacking-Keel. We also find that the regularized quantum period, which is defined in terms of descendant Gromov-Witten numbers, is in fact given by certain naive curve counts.","authors_text":"Travis Mandel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-03-28T14:44:56Z","title":"Fano mirror periods from the Frobenius structure conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.12014","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":"sha256:140c7d930365cb925f3a34b1652e43dbbfa3fc34cd6cb829bc7b42e282cc09da","target":"record","created_at":"2026-05-17T23:49:58Z","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":"03a5048b94680d66c2a4eba5e95f876ca40de50782aa4bfde9da32022ce4eccd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-03-28T14:44:56Z","title_canon_sha256":"0ddfffbee13f7cf63d912f2d285bfadd07dd4f227637424abacf51ec3176ac30"},"schema_version":"1.0","source":{"id":"1903.12014","kind":"arxiv","version":1}},"canonical_sha256":"e0631317582e58dbd626aef49e0d3139b40a358203c39cfdd5ff7d8155df461f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e0631317582e58dbd626aef49e0d3139b40a358203c39cfdd5ff7d8155df461f","first_computed_at":"2026-05-17T23:49:58.336740Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:49:58.336740Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eMEVx9pM+zYbb4lqSJCTdacPzI2pm6FDcbqDlFdKGVsRGbDPhXf+JPbxLHp6loNORVUd7syUA7AdikhZUPyVDA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:49:58.337407Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.12014","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:140c7d930365cb925f3a34b1652e43dbbfa3fc34cd6cb829bc7b42e282cc09da","sha256:77f88e45d1110d543999913113bdda0db58a0be25be8cd780ec82199ebdc7c32"],"state_sha256":"1daac6052195266698193edcf290dea42d5f3527017723a16447b34e36d8d9dc"}