{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:GWPPB3LRBPSU4XYLX5KMYSERV2","short_pith_number":"pith:GWPPB3LR","schema_version":"1.0","canonical_sha256":"359ef0ed710be54e5f0bbf54cc4891ae833d71707f1e0cdc1cfd73ee1520b4a7","source":{"kind":"arxiv","id":"1606.02282","version":2},"attestation_state":"computed","paper":{"title":"Tropicalization of theta characteristics, double covers, and Prym varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.AG","authors_text":"David Jensen, Yoav Len","submitted_at":"2016-06-07T19:58:05Z","abstract_excerpt":"We study the behavior of theta characteristics on an algebraic curve under the specialization map to a tropical curve. We show that each effective theta characteristic on the tropical curve is the specialization of $2^{g-1}$ even theta characteristics and $2^{g-1}$ odd theta characteristics. We then study the relationship between unramified double covers of a tropical curve and its theta characteristics, and use this to define the tropical Prym variety."},"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":"1606.02282","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-06-07T19:58:05Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"9fac3f699b3054c1c8332e4c8a44fbd46ce040a9a5f3cc2b6b66ea5f15469f5b","abstract_canon_sha256":"1b99dc1bc363b10fb7655a3668da2bd9e8cebbd257cf402b87321b71ec60c37b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:40.198649Z","signature_b64":"Ruy/BY9dkEtTsMNi69L8wOLtYSELwhYTCkJqempNtiLtnnlP0OOa9YjCBGZT2CItHVRjos8Xs6hKHWVcnHdcCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"359ef0ed710be54e5f0bbf54cc4891ae833d71707f1e0cdc1cfd73ee1520b4a7","last_reissued_at":"2026-05-18T00:20:40.197955Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:40.197955Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Tropicalization of theta characteristics, double covers, and Prym varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.AG","authors_text":"David Jensen, Yoav Len","submitted_at":"2016-06-07T19:58:05Z","abstract_excerpt":"We study the behavior of theta characteristics on an algebraic curve under the specialization map to a tropical curve. We show that each effective theta characteristic on the tropical curve is the specialization of $2^{g-1}$ even theta characteristics and $2^{g-1}$ odd theta characteristics. We then study the relationship between unramified double covers of a tropical curve and its theta characteristics, and use this to define the tropical Prym variety."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.02282","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":"1606.02282","created_at":"2026-05-18T00:20:40.198054+00:00"},{"alias_kind":"arxiv_version","alias_value":"1606.02282v2","created_at":"2026-05-18T00:20:40.198054+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.02282","created_at":"2026-05-18T00:20:40.198054+00:00"},{"alias_kind":"pith_short_12","alias_value":"GWPPB3LRBPSU","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_16","alias_value":"GWPPB3LRBPSU4XYL","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_8","alias_value":"GWPPB3LR","created_at":"2026-05-18T12:30:19.053100+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/GWPPB3LRBPSU4XYLX5KMYSERV2","json":"https://pith.science/pith/GWPPB3LRBPSU4XYLX5KMYSERV2.json","graph_json":"https://pith.science/api/pith-number/GWPPB3LRBPSU4XYLX5KMYSERV2/graph.json","events_json":"https://pith.science/api/pith-number/GWPPB3LRBPSU4XYLX5KMYSERV2/events.json","paper":"https://pith.science/paper/GWPPB3LR"},"agent_actions":{"view_html":"https://pith.science/pith/GWPPB3LRBPSU4XYLX5KMYSERV2","download_json":"https://pith.science/pith/GWPPB3LRBPSU4XYLX5KMYSERV2.json","view_paper":"https://pith.science/paper/GWPPB3LR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1606.02282&json=true","fetch_graph":"https://pith.science/api/pith-number/GWPPB3LRBPSU4XYLX5KMYSERV2/graph.json","fetch_events":"https://pith.science/api/pith-number/GWPPB3LRBPSU4XYLX5KMYSERV2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GWPPB3LRBPSU4XYLX5KMYSERV2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GWPPB3LRBPSU4XYLX5KMYSERV2/action/storage_attestation","attest_author":"https://pith.science/pith/GWPPB3LRBPSU4XYLX5KMYSERV2/action/author_attestation","sign_citation":"https://pith.science/pith/GWPPB3LRBPSU4XYLX5KMYSERV2/action/citation_signature","submit_replication":"https://pith.science/pith/GWPPB3LRBPSU4XYLX5KMYSERV2/action/replication_record"}},"created_at":"2026-05-18T00:20:40.198054+00:00","updated_at":"2026-05-18T00:20:40.198054+00:00"}