{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:HJXLORSRYYIRIWESYOU2YQREDD","short_pith_number":"pith:HJXLORSR","canonical_record":{"source":{"id":"1611.04856","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-11-15T14:31:34Z","cross_cats_sorted":[],"title_canon_sha256":"397ac890c9323c9a2ac67951bae6aff974f2ec2fc89c5e7af3abba436a756902","abstract_canon_sha256":"df6956d7b7e611a8252c5661e0e64d2ffc71668dbf0619e6335eab1bb04fc9b5"},"schema_version":"1.0"},"canonical_sha256":"3a6eb74651c611145892c3a9ac422418cac4e3ab19188d0c791783da29da26e0","source":{"kind":"arxiv","id":"1611.04856","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.04856","created_at":"2026-05-18T00:04:47Z"},{"alias_kind":"arxiv_version","alias_value":"1611.04856v2","created_at":"2026-05-18T00:04:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.04856","created_at":"2026-05-18T00:04:47Z"},{"alias_kind":"pith_short_12","alias_value":"HJXLORSRYYIR","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"HJXLORSRYYIRIWES","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"HJXLORSR","created_at":"2026-05-18T12:30:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:HJXLORSRYYIRIWESYOU2YQREDD","target":"record","payload":{"canonical_record":{"source":{"id":"1611.04856","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-11-15T14:31:34Z","cross_cats_sorted":[],"title_canon_sha256":"397ac890c9323c9a2ac67951bae6aff974f2ec2fc89c5e7af3abba436a756902","abstract_canon_sha256":"df6956d7b7e611a8252c5661e0e64d2ffc71668dbf0619e6335eab1bb04fc9b5"},"schema_version":"1.0"},"canonical_sha256":"3a6eb74651c611145892c3a9ac422418cac4e3ab19188d0c791783da29da26e0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:47.669658Z","signature_b64":"8vCwYKYtXLhMMA/pCNPk2IjVHJk41CWe0anh5O1GiRpXoec3SvO8olLtGeKw5V8dM1ws4LIdJBzuioBaX6eoAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3a6eb74651c611145892c3a9ac422418cac4e3ab19188d0c791783da29da26e0","last_reissued_at":"2026-05-18T00:04:47.668880Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:47.668880Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.04856","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":"2026-05-18T00:04:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GNaFyHZVS1aWwqTLJaOxo8vEJGiXGxxqKF6KOiEhy1TDjIiOp7zPZ0Mbs816kG4saPxbouwhL4+kB7/ym6HQDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T00:23:35.283292Z"},"content_sha256":"3ca176edef781b41673820bfdf25d35c1d45bf6be565417e239837465bca1768","schema_version":"1.0","event_id":"sha256:3ca176edef781b41673820bfdf25d35c1d45bf6be565417e239837465bca1768"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:HJXLORSRYYIRIWESYOU2YQREDD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Computing twists of hyperelliptic curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Davide Lombardo, Elisa Lorenzo Garc\\'ia","submitted_at":"2016-11-15T14:31:34Z","abstract_excerpt":"We give an efficient algorithm to compute equations of twists of hyperelliptic curves of arbitrary genus over any separable field (of characteristic different from 2), and we explicitly describe some interesting examples."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.04856","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":"2026-05-18T00:04:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PU3MhoFJJijQTdWr3AHqT3LCj+MWd7boRXk/naowH6CwRT49HThGmifyauH/OIE295MwsaZ2/nolHVcXOVdvCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T00:23:35.283654Z"},"content_sha256":"0487447250c072cb5bbb67f446c33b3bfe20ead32937ea2bd47f7b126aec0f4b","schema_version":"1.0","event_id":"sha256:0487447250c072cb5bbb67f446c33b3bfe20ead32937ea2bd47f7b126aec0f4b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HJXLORSRYYIRIWESYOU2YQREDD/bundle.json","state_url":"https://pith.science/pith/HJXLORSRYYIRIWESYOU2YQREDD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HJXLORSRYYIRIWESYOU2YQREDD/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":"2026-06-09T00:23:35Z","links":{"resolver":"https://pith.science/pith/HJXLORSRYYIRIWESYOU2YQREDD","bundle":"https://pith.science/pith/HJXLORSRYYIRIWESYOU2YQREDD/bundle.json","state":"https://pith.science/pith/HJXLORSRYYIRIWESYOU2YQREDD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HJXLORSRYYIRIWESYOU2YQREDD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:HJXLORSRYYIRIWESYOU2YQREDD","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":"df6956d7b7e611a8252c5661e0e64d2ffc71668dbf0619e6335eab1bb04fc9b5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-11-15T14:31:34Z","title_canon_sha256":"397ac890c9323c9a2ac67951bae6aff974f2ec2fc89c5e7af3abba436a756902"},"schema_version":"1.0","source":{"id":"1611.04856","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.04856","created_at":"2026-05-18T00:04:47Z"},{"alias_kind":"arxiv_version","alias_value":"1611.04856v2","created_at":"2026-05-18T00:04:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.04856","created_at":"2026-05-18T00:04:47Z"},{"alias_kind":"pith_short_12","alias_value":"HJXLORSRYYIR","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"HJXLORSRYYIRIWES","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"HJXLORSR","created_at":"2026-05-18T12:30:19Z"}],"graph_snapshots":[{"event_id":"sha256:0487447250c072cb5bbb67f446c33b3bfe20ead32937ea2bd47f7b126aec0f4b","target":"graph","created_at":"2026-05-18T00:04:47Z","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":"We give an efficient algorithm to compute equations of twists of hyperelliptic curves of arbitrary genus over any separable field (of characteristic different from 2), and we explicitly describe some interesting examples.","authors_text":"Davide Lombardo, Elisa Lorenzo Garc\\'ia","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-11-15T14:31:34Z","title":"Computing twists of hyperelliptic curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.04856","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":"sha256:3ca176edef781b41673820bfdf25d35c1d45bf6be565417e239837465bca1768","target":"record","created_at":"2026-05-18T00:04:47Z","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":"df6956d7b7e611a8252c5661e0e64d2ffc71668dbf0619e6335eab1bb04fc9b5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-11-15T14:31:34Z","title_canon_sha256":"397ac890c9323c9a2ac67951bae6aff974f2ec2fc89c5e7af3abba436a756902"},"schema_version":"1.0","source":{"id":"1611.04856","kind":"arxiv","version":2}},"canonical_sha256":"3a6eb74651c611145892c3a9ac422418cac4e3ab19188d0c791783da29da26e0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a6eb74651c611145892c3a9ac422418cac4e3ab19188d0c791783da29da26e0","first_computed_at":"2026-05-18T00:04:47.668880Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:47.668880Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8vCwYKYtXLhMMA/pCNPk2IjVHJk41CWe0anh5O1GiRpXoec3SvO8olLtGeKw5V8dM1ws4LIdJBzuioBaX6eoAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:47.669658Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.04856","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3ca176edef781b41673820bfdf25d35c1d45bf6be565417e239837465bca1768","sha256:0487447250c072cb5bbb67f446c33b3bfe20ead32937ea2bd47f7b126aec0f4b"],"state_sha256":"67e17891ccdf7f00c4cfb1fc877b6cdee86b1d93389105238467f926148aa0b8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bq+aInMYROfn+vevkx93shh09lkU3Ill/QhZd7C0o9MJFePAs8v+UHnIExeLFMsm8D/1t8mfJQpj8BnbuU0rAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T00:23:35.285562Z","bundle_sha256":"f5f141874ad4b10e1c5de4992b0fcf85e0761bbee0e4d3091edfc25365b9c2af"}}