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These fixed points are called ``in good position''.\n  A subgroup W in G of index 2 is a Schottky group and produces a hyperelliptic Mumford curve Omega/W --> Omega/G = P^1, called `Whittaker curve',\n  of genus g and with branch locus B in P^1(K).\n  An explicit parametrization of Whittaker curves in terms of thet"},"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":"2605.22406","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2026-05-21T12:33:40Z","cross_cats_sorted":[],"title_canon_sha256":"700c5bcba9e62bc516ffd1c9eec29167308d732c20714f088aa68054942bb95a","abstract_canon_sha256":"86fa8c0ac1b61676ac252cc1537de0de7ab33d85675b68a52b3e7cdcfe65ebcf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-22T01:04:41.962833Z","signature_b64":"4BgD/ZPnuQVsykwKHh+qFQzNAa2lhyNUmCQHdQHKdDBmSEztTeGDtQMBsts5fjxiVPU6TBlwxNgdQfLhMemPDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"61f96ea357cc72ba400027ae9d61826c51f274ef630ed2c4f7d1ea4ffba7d0c2","last_reissued_at":"2026-05-22T01:04:41.962170Z","signature_status":"signed_v1","first_computed_at":"2026-05-22T01:04:41.962170Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Whittaker groups and hyperelliptic curves","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Jaap Top, Marius van der Put","submitted_at":"2026-05-21T12:33:40Z","abstract_excerpt":"Let K be a complete, non-archimedean valued field with a residue field of characteristic different from 2. 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These fixed points are called ``in good position''.\n  A subgroup W in G of index 2 is a Schottky group and produces a hyperelliptic Mumford curve Omega/W --> Omega/G = P^1, called `Whittaker curve',\n  of genus g and with branch locus B in P^1(K).\n  An explicit parametrization of Whittaker curves in terms of thet"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.22406","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.22406/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2605.22406","created_at":"2026-05-22T01:04:41.962248+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.22406v1","created_at":"2026-05-22T01:04:41.962248+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.22406","created_at":"2026-05-22T01:04:41.962248+00:00"},{"alias_kind":"pith_short_12","alias_value":"MH4W5I2XZRZL","created_at":"2026-05-22T01:04:41.962248+00:00"},{"alias_kind":"pith_short_16","alias_value":"MH4W5I2XZRZLUQAA","created_at":"2026-05-22T01:04:41.962248+00:00"},{"alias_kind":"pith_short_8","alias_value":"MH4W5I2X","created_at":"2026-05-22T01:04:41.962248+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/MH4W5I2XZRZLUQAAE6XJ2YMCNR","json":"https://pith.science/pith/MH4W5I2XZRZLUQAAE6XJ2YMCNR.json","graph_json":"https://pith.science/api/pith-number/MH4W5I2XZRZLUQAAE6XJ2YMCNR/graph.json","events_json":"https://pith.science/api/pith-number/MH4W5I2XZRZLUQAAE6XJ2YMCNR/events.json","paper":"https://pith.science/paper/MH4W5I2X"},"agent_actions":{"view_html":"https://pith.science/pith/MH4W5I2XZRZLUQAAE6XJ2YMCNR","download_json":"https://pith.science/pith/MH4W5I2XZRZLUQAAE6XJ2YMCNR.json","view_paper":"https://pith.science/paper/MH4W5I2X","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.22406&json=true","fetch_graph":"https://pith.science/api/pith-number/MH4W5I2XZRZLUQAAE6XJ2YMCNR/graph.json","fetch_events":"https://pith.science/api/pith-number/MH4W5I2XZRZLUQAAE6XJ2YMCNR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MH4W5I2XZRZLUQAAE6XJ2YMCNR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MH4W5I2XZRZLUQAAE6XJ2YMCNR/action/storage_attestation","attest_author":"https://pith.science/pith/MH4W5I2XZRZLUQAAE6XJ2YMCNR/action/author_attestation","sign_citation":"https://pith.science/pith/MH4W5I2XZRZLUQAAE6XJ2YMCNR/action/citation_signature","submit_replication":"https://pith.science/pith/MH4W5I2XZRZLUQAAE6XJ2YMCNR/action/replication_record"}},"created_at":"2026-05-22T01:04:41.962248+00:00","updated_at":"2026-05-22T01:04:41.962248+00:00"}