{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:EEX3PPVQPRI5AWNOONC7QC6FQK","short_pith_number":"pith:EEX3PPVQ","canonical_record":{"source":{"id":"1712.05763","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-12-15T17:33:37Z","cross_cats_sorted":["math.AC","math.AG"],"title_canon_sha256":"a5d2deda056a028ee9e6b318fbf1da7afe9377bb82e3c411e77bce90138cdf76","abstract_canon_sha256":"3518ac62b305c645ca7d22885ef1629f2ac94b0ca60fe687e72a09030cdcb330"},"schema_version":"1.0"},"canonical_sha256":"212fb7beb07c51d059ae7345f80bc582a787cd736f710620dbc342e6d1ea15a3","source":{"kind":"arxiv","id":"1712.05763","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.05763","created_at":"2026-05-18T00:15:46Z"},{"alias_kind":"arxiv_version","alias_value":"1712.05763v2","created_at":"2026-05-18T00:15:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.05763","created_at":"2026-05-18T00:15:46Z"},{"alias_kind":"pith_short_12","alias_value":"EEX3PPVQPRI5","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"EEX3PPVQPRI5AWNO","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"EEX3PPVQ","created_at":"2026-05-18T12:31:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:EEX3PPVQPRI5AWNOONC7QC6FQK","target":"record","payload":{"canonical_record":{"source":{"id":"1712.05763","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-12-15T17:33:37Z","cross_cats_sorted":["math.AC","math.AG"],"title_canon_sha256":"a5d2deda056a028ee9e6b318fbf1da7afe9377bb82e3c411e77bce90138cdf76","abstract_canon_sha256":"3518ac62b305c645ca7d22885ef1629f2ac94b0ca60fe687e72a09030cdcb330"},"schema_version":"1.0"},"canonical_sha256":"212fb7beb07c51d059ae7345f80bc582a787cd736f710620dbc342e6d1ea15a3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:15:46.826906Z","signature_b64":"WbV4F6+4IVpkGqp0XrSQMMRlxT9Y1CPTSabXyNhl4OZZd2aaXeW/l+dD02w7hROiYlMrEYOQpnqeSTuLnyhIDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"212fb7beb07c51d059ae7345f80bc582a787cd736f710620dbc342e6d1ea15a3","last_reissued_at":"2026-05-18T00:15:46.826221Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:15:46.826221Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.05763","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:15:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nTvO/9HcDIP4mI3xFzr+8XgHSFVcs/t1/xUDRTk7y6x4vEfyDPsvYLU8GWHmlP5CIjWPyucX3S9OZGG7z2fuAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:47:12.886224Z"},"content_sha256":"8d6dbe25588271ce700bd1c48b93498da8808831a9f9e411d4bb60bc8e07c10e","schema_version":"1.0","event_id":"sha256:8d6dbe25588271ce700bd1c48b93498da8808831a9f9e411d4bb60bc8e07c10e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:EEX3PPVQPRI5AWNOONC7QC6FQK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Differential operators and hyperelliptic curves over finite fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AC","math.AG"],"primary_cat":"math.NT","authors_text":"Alberto F. Boix, Emrah Sercan Yilmaz, Iv\\'an Blanco-Chac\\'on, Stiof\\'ain Fordham","submitted_at":"2017-12-15T17:33:37Z","abstract_excerpt":"Boix, De Stefani and Vanzo have characterized ordinary/supersingular elliptic curves over $\\mathbb{F}_p$ in terms of the level of the defining cubic homogenous polynomial. We extend their study to arbitrary genus, in particular we prove that every ordinary hyperelliptic curve $\\mathcal{C}$ of genus $g\\geq 2$ has level $2$. We provide a good number of examples and raise a conjecture."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.05763","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:15:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b4aYqNQjDDPz9sWbYPEwRLbReg9ep1bpdj+ZXZ9qH/6O3B29LAql/ZIB5mC2dEKTw1p4SuSsp5ukL0GiNcH8Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:47:12.886875Z"},"content_sha256":"8fa9e2af1fbab03c3d1544df2d9ad0e08da202ec2ccc391a4d12908fa79e414a","schema_version":"1.0","event_id":"sha256:8fa9e2af1fbab03c3d1544df2d9ad0e08da202ec2ccc391a4d12908fa79e414a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EEX3PPVQPRI5AWNOONC7QC6FQK/bundle.json","state_url":"https://pith.science/pith/EEX3PPVQPRI5AWNOONC7QC6FQK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EEX3PPVQPRI5AWNOONC7QC6FQK/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-25T22:47:12Z","links":{"resolver":"https://pith.science/pith/EEX3PPVQPRI5AWNOONC7QC6FQK","bundle":"https://pith.science/pith/EEX3PPVQPRI5AWNOONC7QC6FQK/bundle.json","state":"https://pith.science/pith/EEX3PPVQPRI5AWNOONC7QC6FQK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EEX3PPVQPRI5AWNOONC7QC6FQK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:EEX3PPVQPRI5AWNOONC7QC6FQK","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"3518ac62b305c645ca7d22885ef1629f2ac94b0ca60fe687e72a09030cdcb330","cross_cats_sorted":["math.AC","math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-12-15T17:33:37Z","title_canon_sha256":"a5d2deda056a028ee9e6b318fbf1da7afe9377bb82e3c411e77bce90138cdf76"},"schema_version":"1.0","source":{"id":"1712.05763","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.05763","created_at":"2026-05-18T00:15:46Z"},{"alias_kind":"arxiv_version","alias_value":"1712.05763v2","created_at":"2026-05-18T00:15:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.05763","created_at":"2026-05-18T00:15:46Z"},{"alias_kind":"pith_short_12","alias_value":"EEX3PPVQPRI5","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"EEX3PPVQPRI5AWNO","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"EEX3PPVQ","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:8fa9e2af1fbab03c3d1544df2d9ad0e08da202ec2ccc391a4d12908fa79e414a","target":"graph","created_at":"2026-05-18T00:15:46Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Boix, De Stefani and Vanzo have characterized ordinary/supersingular elliptic curves over $\\mathbb{F}_p$ in terms of the level of the defining cubic homogenous polynomial. We extend their study to arbitrary genus, in particular we prove that every ordinary hyperelliptic curve $\\mathcal{C}$ of genus $g\\geq 2$ has level $2$. We provide a good number of examples and raise a conjecture.","authors_text":"Alberto F. Boix, Emrah Sercan Yilmaz, Iv\\'an Blanco-Chac\\'on, Stiof\\'ain Fordham","cross_cats":["math.AC","math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-12-15T17:33:37Z","title":"Differential operators and hyperelliptic curves over finite fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.05763","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:8d6dbe25588271ce700bd1c48b93498da8808831a9f9e411d4bb60bc8e07c10e","target":"record","created_at":"2026-05-18T00:15:46Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"3518ac62b305c645ca7d22885ef1629f2ac94b0ca60fe687e72a09030cdcb330","cross_cats_sorted":["math.AC","math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-12-15T17:33:37Z","title_canon_sha256":"a5d2deda056a028ee9e6b318fbf1da7afe9377bb82e3c411e77bce90138cdf76"},"schema_version":"1.0","source":{"id":"1712.05763","kind":"arxiv","version":2}},"canonical_sha256":"212fb7beb07c51d059ae7345f80bc582a787cd736f710620dbc342e6d1ea15a3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"212fb7beb07c51d059ae7345f80bc582a787cd736f710620dbc342e6d1ea15a3","first_computed_at":"2026-05-18T00:15:46.826221Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:46.826221Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WbV4F6+4IVpkGqp0XrSQMMRlxT9Y1CPTSabXyNhl4OZZd2aaXeW/l+dD02w7hROiYlMrEYOQpnqeSTuLnyhIDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:46.826906Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.05763","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d6dbe25588271ce700bd1c48b93498da8808831a9f9e411d4bb60bc8e07c10e","sha256:8fa9e2af1fbab03c3d1544df2d9ad0e08da202ec2ccc391a4d12908fa79e414a"],"state_sha256":"ffc7249d2ab487a5e838d29ba1c7e55cdb909c466e51400bd305e96be26b937f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XamcrjJK8U8KoOSnmtLQ7D/abMWCI4FozWv4oPq15p4RkVuAXDyJurcNAaf6AFDLYHfST+NByzvcXPCxdmk0Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T22:47:12.891851Z","bundle_sha256":"8a8a5320ef6d161cc371b38d1ffb2965f651112c01aca850e09cadd645701d6e"}}