{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:7GN3H4PYZSP2IEUFIB7P6335ZM","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":"3fdcb4ef9d8cbad0a8ccdd9c818aabeaf4fb7f6485f89ff2e0c152e0e1e04bed","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-06-07T13:13:16Z","title_canon_sha256":"5706b0bcde4d3c674c77ea86a3ac68984151c0d4f9545ae23634db6741b63ce6"},"schema_version":"1.0","source":{"id":"1106.1337","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.1337","created_at":"2026-05-18T02:38:18Z"},{"alias_kind":"arxiv_version","alias_value":"1106.1337v2","created_at":"2026-05-18T02:38:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.1337","created_at":"2026-05-18T02:38:18Z"},{"alias_kind":"pith_short_12","alias_value":"7GN3H4PYZSP2","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"7GN3H4PYZSP2IEUF","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"7GN3H4PY","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:a4b12097a7c426de580d97406dbd736d9f6ab4536871b26e69743aca2f08d6df","target":"graph","created_at":"2026-05-18T02:38:18Z","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 prove that stationary Gromov-Witten invariants of $\\bp^1$ arise as the Eynard-Orantin invariants of the spectral curve $x=z+1/z$, $y=\\ln{z}$. As an application we show that tautological intersection numbers on the moduli space of curves arise in the asymptotics of large degree Gromov-Witten invariants of $\\bp^1$.","authors_text":"Nick Scott, Paul Norbury","cross_cats":["math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-06-07T13:13:16Z","title":"Gromov-Witten invariants of $\\bp^1$ and Eynard-Orantin invariants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.1337","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":"sha256:60ccddb06f9820f3337fe7f491f13d8a54dfc177f8829c559a8d3387b3f37577","target":"record","created_at":"2026-05-18T02:38:18Z","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":"3fdcb4ef9d8cbad0a8ccdd9c818aabeaf4fb7f6485f89ff2e0c152e0e1e04bed","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-06-07T13:13:16Z","title_canon_sha256":"5706b0bcde4d3c674c77ea86a3ac68984151c0d4f9545ae23634db6741b63ce6"},"schema_version":"1.0","source":{"id":"1106.1337","kind":"arxiv","version":2}},"canonical_sha256":"f99bb3f1f8cc9fa41285407eff6f7dcb00c714381b5f60479627c2eb2e91d4ca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f99bb3f1f8cc9fa41285407eff6f7dcb00c714381b5f60479627c2eb2e91d4ca","first_computed_at":"2026-05-18T02:38:18.131969Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:38:18.131969Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WiDNj3HBloU4kz5wOSggYnFmJS54bf7FwPZ2txK7YfipzgvtmB5B3q6Y6PFJnQYwm5PlO+AJGFEHi8ezMXhkBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:38:18.132565Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.1337","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:60ccddb06f9820f3337fe7f491f13d8a54dfc177f8829c559a8d3387b3f37577","sha256:a4b12097a7c426de580d97406dbd736d9f6ab4536871b26e69743aca2f08d6df"],"state_sha256":"8f61d9ca55a6b102f3c3087bb260c441f6ece914264d1eb68b06adc7c7aa18e6"}