{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:5SGH4YHEZ4TOXSJGHIVV2NAF73","short_pith_number":"pith:5SGH4YHE","schema_version":"1.0","canonical_sha256":"ec8c7e60e4cf26ebc9263a2b5d3405fecfb2904276539e78a2cb62b2e6e1995c","source":{"kind":"arxiv","id":"1401.1750","version":2},"attestation_state":"computed","paper":{"title":"A recursion for counts of real curves in CP^{2n-1}: another proof","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.AG","authors_text":"Aleksey Zinger, Penka Georgieva","submitted_at":"2014-01-08T17:03:14Z","abstract_excerpt":"In a recent paper, we obtained a WDVV-type relation for real genus 0 Gromov-Witten invariants with conjugate pairs of insertions; it specializes to a complete recursion in the case of odd-dimensional projective spaces. This note provides another, more complex-geometric, proof of the latter. The main part of this approach readily extends to real symplectic manifolds with empty real locus, but not to the general case."},"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":"1401.1750","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-01-08T17:03:14Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"8c0ecf87c73d52b5694c743fecd89464007c0c3dfa742257e9d8b3bc0736280d","abstract_canon_sha256":"10862f4f9c417a0eab96fc5aa3aca360742202dbf960b9542d9d2ff3e9d1f739"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:33:32.757138Z","signature_b64":"xI8grzEDkCU+RUCsw1hufcKjU+Hwrmf5i+zpHdaxuc5c3pABPdoTu1SUbyBDMRCvMS+nFBzvB6TDgcvxsD2RCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ec8c7e60e4cf26ebc9263a2b5d3405fecfb2904276539e78a2cb62b2e6e1995c","last_reissued_at":"2026-05-18T01:33:32.756390Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:33:32.756390Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A recursion for counts of real curves in CP^{2n-1}: another proof","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.AG","authors_text":"Aleksey Zinger, Penka Georgieva","submitted_at":"2014-01-08T17:03:14Z","abstract_excerpt":"In a recent paper, we obtained a WDVV-type relation for real genus 0 Gromov-Witten invariants with conjugate pairs of insertions; it specializes to a complete recursion in the case of odd-dimensional projective spaces. This note provides another, more complex-geometric, proof of the latter. The main part of this approach readily extends to real symplectic manifolds with empty real locus, but not to the general case."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.1750","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":"1401.1750","created_at":"2026-05-18T01:33:32.756511+00:00"},{"alias_kind":"arxiv_version","alias_value":"1401.1750v2","created_at":"2026-05-18T01:33:32.756511+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.1750","created_at":"2026-05-18T01:33:32.756511+00:00"},{"alias_kind":"pith_short_12","alias_value":"5SGH4YHEZ4TO","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_16","alias_value":"5SGH4YHEZ4TOXSJG","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_8","alias_value":"5SGH4YHE","created_at":"2026-05-18T12:28:14.216126+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/5SGH4YHEZ4TOXSJGHIVV2NAF73","json":"https://pith.science/pith/5SGH4YHEZ4TOXSJGHIVV2NAF73.json","graph_json":"https://pith.science/api/pith-number/5SGH4YHEZ4TOXSJGHIVV2NAF73/graph.json","events_json":"https://pith.science/api/pith-number/5SGH4YHEZ4TOXSJGHIVV2NAF73/events.json","paper":"https://pith.science/paper/5SGH4YHE"},"agent_actions":{"view_html":"https://pith.science/pith/5SGH4YHEZ4TOXSJGHIVV2NAF73","download_json":"https://pith.science/pith/5SGH4YHEZ4TOXSJGHIVV2NAF73.json","view_paper":"https://pith.science/paper/5SGH4YHE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1401.1750&json=true","fetch_graph":"https://pith.science/api/pith-number/5SGH4YHEZ4TOXSJGHIVV2NAF73/graph.json","fetch_events":"https://pith.science/api/pith-number/5SGH4YHEZ4TOXSJGHIVV2NAF73/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5SGH4YHEZ4TOXSJGHIVV2NAF73/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5SGH4YHEZ4TOXSJGHIVV2NAF73/action/storage_attestation","attest_author":"https://pith.science/pith/5SGH4YHEZ4TOXSJGHIVV2NAF73/action/author_attestation","sign_citation":"https://pith.science/pith/5SGH4YHEZ4TOXSJGHIVV2NAF73/action/citation_signature","submit_replication":"https://pith.science/pith/5SGH4YHEZ4TOXSJGHIVV2NAF73/action/replication_record"}},"created_at":"2026-05-18T01:33:32.756511+00:00","updated_at":"2026-05-18T01:33:32.756511+00:00"}