{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:XLIHPMOHYNFTB3GJPYCDTAKVPM","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":"e5da26554d7d78e66071ecc2a28a71e262970823f9cd8d1c9f0ff345bef6b64e","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-10-25T14:53:47Z","title_canon_sha256":"8272d88590870067d0b0965c5053a5accb5581acbe09b6e51d8ad73c635fe83d"},"schema_version":"1.0","source":{"id":"1210.6862","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.6862","created_at":"2026-05-18T03:02:35Z"},{"alias_kind":"arxiv_version","alias_value":"1210.6862v2","created_at":"2026-05-18T03:02:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.6862","created_at":"2026-05-18T03:02:35Z"},{"alias_kind":"pith_short_12","alias_value":"XLIHPMOHYNFT","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"XLIHPMOHYNFTB3GJ","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"XLIHPMOH","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:f5a37878cf4a9d0cd804ca92135f51f3072ddbdae75034fd26273e3c7138b014","target":"graph","created_at":"2026-05-18T03:02:35Z","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":"A simple elliptic singularity of type $E_N^{(1,1)}$ ($N=6,7,8$) can be described in terms of a marginal deformation of an invertible polynomial $W$. In the papers \\cite{KS} and \\cite{MR} the authors proved a mirror symmetry statement for some particular choices of $W$ and used it to prove quasi-modularity of Gromov-Witten invariants for certain elliptic orbifold $\\mathbb{P}^1$s. However, the choice of the polynomial $W$ and its marginal deformation $\\phi_{\\mu}$ are not unique. In this paper, we investigate the global mirror symmetry phenomenon for the one-parameter family $W+\\sigma\\phi_{\\mu}$.","authors_text":"Todor MIlanov, Yefeng Shen","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-10-25T14:53:47Z","title":"Global mirror symmetry for invertible simple elliptic singularities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.6862","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":"sha256:0f2a04c0980696bc50d4905b6216b5a15a26671a07c698eb7d122ec4036209b7","target":"record","created_at":"2026-05-18T03:02:35Z","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":"e5da26554d7d78e66071ecc2a28a71e262970823f9cd8d1c9f0ff345bef6b64e","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-10-25T14:53:47Z","title_canon_sha256":"8272d88590870067d0b0965c5053a5accb5581acbe09b6e51d8ad73c635fe83d"},"schema_version":"1.0","source":{"id":"1210.6862","kind":"arxiv","version":2}},"canonical_sha256":"bad077b1c7c34b30ecc97e043981557b22db2139fda57ae888b13ccbfaf396ad","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bad077b1c7c34b30ecc97e043981557b22db2139fda57ae888b13ccbfaf396ad","first_computed_at":"2026-05-18T03:02:35.710030Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:02:35.710030Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AxEVJ9jZx0MO1BvKLe19nUzSlqn6rJ4HV++2i9XGSIHWj7rpVANPGNTqs/g+C8rY2wepd9q3BMJ1lUDocyT9Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:02:35.710854Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.6862","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f2a04c0980696bc50d4905b6216b5a15a26671a07c698eb7d122ec4036209b7","sha256:f5a37878cf4a9d0cd804ca92135f51f3072ddbdae75034fd26273e3c7138b014"],"state_sha256":"a3f8a1f2577a360088d71c1eed271127394321ae9069a5927c5331eff4b9e59a"}