{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:7FOS257PWQCCO4CNECHGDXQED4","short_pith_number":"pith:7FOS257P","schema_version":"1.0","canonical_sha256":"f95d2d77efb40427704d208e61de041f17c1a7dc5e920f5a9c7be3a07330bb09","source":{"kind":"arxiv","id":"1808.01383","version":3},"attestation_state":"computed","paper":{"title":"Tropical Jucys Covers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AG","authors_text":"Danilo Lewanski, Marvin Anas Hahn","submitted_at":"2018-08-03T22:41:33Z","abstract_excerpt":"We study monotone and strictly monotone Hurwitz numbers from a bosonic Fock space perspective. This yields to an interpretation in terms of tropical geometry involving local multiplicities given by Gromov-Witten invariants. Furthermore, this enables us to prove that a main result of Cavalieri-Johnson-Markwig-Ranganathan is a actually a refinement of the Gromov-Witten/Hurwitz correspondence by Okounkov-Pandharipande."},"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":"1808.01383","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-08-03T22:41:33Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"48b3d804f285cb6110abd34631622405fb9ca997758f7c1d94a0f37026d2b128","abstract_canon_sha256":"bf0be71e907494d1ab316eac7e7e2876436abfb91b1583ecd0b8e0bad4c42e75"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:57:06.135226Z","signature_b64":"3xkDZaBQomWXP8QIUk8oPBGsz+Y00k/sKyAP3PkV2oL1qAI5YFYYZPKyCA7eSCTUK668J0wwMaWPstWpm0I+AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f95d2d77efb40427704d208e61de041f17c1a7dc5e920f5a9c7be3a07330bb09","last_reissued_at":"2026-05-17T23:57:06.134635Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:57:06.134635Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Tropical Jucys Covers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AG","authors_text":"Danilo Lewanski, Marvin Anas Hahn","submitted_at":"2018-08-03T22:41:33Z","abstract_excerpt":"We study monotone and strictly monotone Hurwitz numbers from a bosonic Fock space perspective. This yields to an interpretation in terms of tropical geometry involving local multiplicities given by Gromov-Witten invariants. Furthermore, this enables us to prove that a main result of Cavalieri-Johnson-Markwig-Ranganathan is a actually a refinement of the Gromov-Witten/Hurwitz correspondence by Okounkov-Pandharipande."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.01383","kind":"arxiv","version":3},"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":"1808.01383","created_at":"2026-05-17T23:57:06.134737+00:00"},{"alias_kind":"arxiv_version","alias_value":"1808.01383v3","created_at":"2026-05-17T23:57:06.134737+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.01383","created_at":"2026-05-17T23:57:06.134737+00:00"},{"alias_kind":"pith_short_12","alias_value":"7FOS257PWQCC","created_at":"2026-05-18T12:32:11.075285+00:00"},{"alias_kind":"pith_short_16","alias_value":"7FOS257PWQCCO4CN","created_at":"2026-05-18T12:32:11.075285+00:00"},{"alias_kind":"pith_short_8","alias_value":"7FOS257P","created_at":"2026-05-18T12:32:11.075285+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/7FOS257PWQCCO4CNECHGDXQED4","json":"https://pith.science/pith/7FOS257PWQCCO4CNECHGDXQED4.json","graph_json":"https://pith.science/api/pith-number/7FOS257PWQCCO4CNECHGDXQED4/graph.json","events_json":"https://pith.science/api/pith-number/7FOS257PWQCCO4CNECHGDXQED4/events.json","paper":"https://pith.science/paper/7FOS257P"},"agent_actions":{"view_html":"https://pith.science/pith/7FOS257PWQCCO4CNECHGDXQED4","download_json":"https://pith.science/pith/7FOS257PWQCCO4CNECHGDXQED4.json","view_paper":"https://pith.science/paper/7FOS257P","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1808.01383&json=true","fetch_graph":"https://pith.science/api/pith-number/7FOS257PWQCCO4CNECHGDXQED4/graph.json","fetch_events":"https://pith.science/api/pith-number/7FOS257PWQCCO4CNECHGDXQED4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7FOS257PWQCCO4CNECHGDXQED4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7FOS257PWQCCO4CNECHGDXQED4/action/storage_attestation","attest_author":"https://pith.science/pith/7FOS257PWQCCO4CNECHGDXQED4/action/author_attestation","sign_citation":"https://pith.science/pith/7FOS257PWQCCO4CNECHGDXQED4/action/citation_signature","submit_replication":"https://pith.science/pith/7FOS257PWQCCO4CNECHGDXQED4/action/replication_record"}},"created_at":"2026-05-17T23:57:06.134737+00:00","updated_at":"2026-05-17T23:57:06.134737+00:00"}