{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:7GN3H4PYZSP2IEUFIB7P6335ZM","short_pith_number":"pith:7GN3H4PY","schema_version":"1.0","canonical_sha256":"f99bb3f1f8cc9fa41285407eff6f7dcb00c714381b5f60479627c2eb2e91d4ca","source":{"kind":"arxiv","id":"1106.1337","version":2},"attestation_state":"computed","paper":{"title":"Gromov-Witten invariants of $\\bp^1$ and Eynard-Orantin invariants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.AG","authors_text":"Nick Scott, Paul Norbury","submitted_at":"2011-06-07T13:13:16Z","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 $\\bp^1$."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1106.1337","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-06-07T13:13:16Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"5706b0bcde4d3c674c77ea86a3ac68984151c0d4f9545ae23634db6741b63ce6","abstract_canon_sha256":"3fdcb4ef9d8cbad0a8ccdd9c818aabeaf4fb7f6485f89ff2e0c152e0e1e04bed"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:38:18.132565Z","signature_b64":"WiDNj3HBloU4kz5wOSggYnFmJS54bf7FwPZ2txK7YfipzgvtmB5B3q6Y6PFJnQYwm5PlO+AJGFEHi8ezMXhkBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f99bb3f1f8cc9fa41285407eff6f7dcb00c714381b5f60479627c2eb2e91d4ca","last_reissued_at":"2026-05-18T02:38:18.131969Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:38:18.131969Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Gromov-Witten invariants of $\\bp^1$ and Eynard-Orantin invariants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.AG","authors_text":"Nick Scott, Paul Norbury","submitted_at":"2011-06-07T13:13:16Z","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 $\\bp^1$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.1337","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1106.1337","created_at":"2026-05-18T02:38:18.132050+00:00"},{"alias_kind":"arxiv_version","alias_value":"1106.1337v2","created_at":"2026-05-18T02:38:18.132050+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.1337","created_at":"2026-05-18T02:38:18.132050+00:00"},{"alias_kind":"pith_short_12","alias_value":"7GN3H4PYZSP2","created_at":"2026-05-18T12:26:22.705136+00:00"},{"alias_kind":"pith_short_16","alias_value":"7GN3H4PYZSP2IEUF","created_at":"2026-05-18T12:26:22.705136+00:00"},{"alias_kind":"pith_short_8","alias_value":"7GN3H4PY","created_at":"2026-05-18T12:26:22.705136+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7GN3H4PYZSP2IEUFIB7P6335ZM","json":"https://pith.science/pith/7GN3H4PYZSP2IEUFIB7P6335ZM.json","graph_json":"https://pith.science/api/pith-number/7GN3H4PYZSP2IEUFIB7P6335ZM/graph.json","events_json":"https://pith.science/api/pith-number/7GN3H4PYZSP2IEUFIB7P6335ZM/events.json","paper":"https://pith.science/paper/7GN3H4PY"},"agent_actions":{"view_html":"https://pith.science/pith/7GN3H4PYZSP2IEUFIB7P6335ZM","download_json":"https://pith.science/pith/7GN3H4PYZSP2IEUFIB7P6335ZM.json","view_paper":"https://pith.science/paper/7GN3H4PY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1106.1337&json=true","fetch_graph":"https://pith.science/api/pith-number/7GN3H4PYZSP2IEUFIB7P6335ZM/graph.json","fetch_events":"https://pith.science/api/pith-number/7GN3H4PYZSP2IEUFIB7P6335ZM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7GN3H4PYZSP2IEUFIB7P6335ZM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7GN3H4PYZSP2IEUFIB7P6335ZM/action/storage_attestation","attest_author":"https://pith.science/pith/7GN3H4PYZSP2IEUFIB7P6335ZM/action/author_attestation","sign_citation":"https://pith.science/pith/7GN3H4PYZSP2IEUFIB7P6335ZM/action/citation_signature","submit_replication":"https://pith.science/pith/7GN3H4PYZSP2IEUFIB7P6335ZM/action/replication_record"}},"created_at":"2026-05-18T02:38:18.132050+00:00","updated_at":"2026-05-18T02:38:18.132050+00:00"}