{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:JVU2NIDMPQTTLVCOT4BG2TCUCY","short_pith_number":"pith:JVU2NIDM","schema_version":"1.0","canonical_sha256":"4d69a6a06c7c2735d44e9f026d4c54163189715b69b075a21e1d8da69504e2a9","source":{"kind":"arxiv","id":"1809.04340","version":2},"attestation_state":"computed","paper":{"title":"On framed simple purely real Hurwitz numbers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Maxim Kazarian, Sergey Lando, Sergey Natanzon","submitted_at":"2018-09-12T10:07:54Z","abstract_excerpt":"We present a study of real Hurwitz numbers enumerating a special kind of real meromorphic functions, which we call simple framed purely real functions. We deduce partial differential equations of cut-and-join type for generating functions for these numbers. We also construct a topological field theory for them."},"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":"1809.04340","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-09-12T10:07:54Z","cross_cats_sorted":[],"title_canon_sha256":"247e6e35622275db0791b2d82d39f8414e7c1b57a1a1a85a0005040a1738386b","abstract_canon_sha256":"8838c8a1c596aa8432e1a6a9d9409a55e2046b26d2593dc431afea4f249530d3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:22.534386Z","signature_b64":"hlyYqz1y/il9wRXCaAu7NXT7QPHxf2LKJfJXzrX9hbM6USbrPcbDZu7FiWZxVlCz8nvm9sSrTlHKeF0xwQN2Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4d69a6a06c7c2735d44e9f026d4c54163189715b69b075a21e1d8da69504e2a9","last_reissued_at":"2026-05-17T23:54:22.533575Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:22.533575Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On framed simple purely real Hurwitz numbers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Maxim Kazarian, Sergey Lando, Sergey Natanzon","submitted_at":"2018-09-12T10:07:54Z","abstract_excerpt":"We present a study of real Hurwitz numbers enumerating a special kind of real meromorphic functions, which we call simple framed purely real functions. We deduce partial differential equations of cut-and-join type for generating functions for these numbers. We also construct a topological field theory for them."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.04340","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":"1809.04340","created_at":"2026-05-17T23:54:22.533661+00:00"},{"alias_kind":"arxiv_version","alias_value":"1809.04340v2","created_at":"2026-05-17T23:54:22.533661+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.04340","created_at":"2026-05-17T23:54:22.533661+00:00"},{"alias_kind":"pith_short_12","alias_value":"JVU2NIDMPQTT","created_at":"2026-05-18T12:32:33.847187+00:00"},{"alias_kind":"pith_short_16","alias_value":"JVU2NIDMPQTTLVCO","created_at":"2026-05-18T12:32:33.847187+00:00"},{"alias_kind":"pith_short_8","alias_value":"JVU2NIDM","created_at":"2026-05-18T12:32:33.847187+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/JVU2NIDMPQTTLVCOT4BG2TCUCY","json":"https://pith.science/pith/JVU2NIDMPQTTLVCOT4BG2TCUCY.json","graph_json":"https://pith.science/api/pith-number/JVU2NIDMPQTTLVCOT4BG2TCUCY/graph.json","events_json":"https://pith.science/api/pith-number/JVU2NIDMPQTTLVCOT4BG2TCUCY/events.json","paper":"https://pith.science/paper/JVU2NIDM"},"agent_actions":{"view_html":"https://pith.science/pith/JVU2NIDMPQTTLVCOT4BG2TCUCY","download_json":"https://pith.science/pith/JVU2NIDMPQTTLVCOT4BG2TCUCY.json","view_paper":"https://pith.science/paper/JVU2NIDM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1809.04340&json=true","fetch_graph":"https://pith.science/api/pith-number/JVU2NIDMPQTTLVCOT4BG2TCUCY/graph.json","fetch_events":"https://pith.science/api/pith-number/JVU2NIDMPQTTLVCOT4BG2TCUCY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JVU2NIDMPQTTLVCOT4BG2TCUCY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JVU2NIDMPQTTLVCOT4BG2TCUCY/action/storage_attestation","attest_author":"https://pith.science/pith/JVU2NIDMPQTTLVCOT4BG2TCUCY/action/author_attestation","sign_citation":"https://pith.science/pith/JVU2NIDMPQTTLVCOT4BG2TCUCY/action/citation_signature","submit_replication":"https://pith.science/pith/JVU2NIDMPQTTLVCOT4BG2TCUCY/action/replication_record"}},"created_at":"2026-05-17T23:54:22.533661+00:00","updated_at":"2026-05-17T23:54:22.533661+00:00"}