{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:RPDBHXCIQALSPWWGGUR2NHMTAX","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":"45780b51112078942f2fd02b61b68835d25b97ee79d561510c8be66ce69130d8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-11-21T12:34:59Z","title_canon_sha256":"263a4e036ae4b506ebbdeecedc4a2937f3c0b23cb4d12c23c78db8cef01a7c2c"},"schema_version":"1.0","source":{"id":"1611.06756","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.06756","created_at":"2026-05-18T00:57:32Z"},{"alias_kind":"arxiv_version","alias_value":"1611.06756v1","created_at":"2026-05-18T00:57:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.06756","created_at":"2026-05-18T00:57:32Z"},{"alias_kind":"pith_short_12","alias_value":"RPDBHXCIQALS","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RPDBHXCIQALSPWWG","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RPDBHXCI","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:0e9a0f28cb0de0cbe8cef7f40df9f63913a7beda4a90cd4eaea735aeedb60b3f","target":"graph","created_at":"2026-05-18T00:57:32Z","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 study stable curves of arithmetic genus 2 which admit two morphisms of finite degree $p$, resp. $d$, onto smooth elliptic curves, with particular attention to the case $p$ prime.","authors_text":"Marco Franciosi, Rita Pardini, S\\\"onke Rollenske","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-11-21T12:34:59Z","title":"$(p,d)$-elliptic curves of genus two"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.06756","kind":"arxiv","version":1},"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:cd19053c82410c03575f1feee8ddf3dc63b692307ac1a0014747b29c5dbef349","target":"record","created_at":"2026-05-18T00:57:32Z","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":"45780b51112078942f2fd02b61b68835d25b97ee79d561510c8be66ce69130d8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-11-21T12:34:59Z","title_canon_sha256":"263a4e036ae4b506ebbdeecedc4a2937f3c0b23cb4d12c23c78db8cef01a7c2c"},"schema_version":"1.0","source":{"id":"1611.06756","kind":"arxiv","version":1}},"canonical_sha256":"8bc613dc48801727dac63523a69d9305f8672be416c2885f5eb09f62e3cc43ca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8bc613dc48801727dac63523a69d9305f8672be416c2885f5eb09f62e3cc43ca","first_computed_at":"2026-05-18T00:57:32.981881Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:32.981881Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/tUGdM9IHT3dQEiyiQ2s+5zN6MOqtelCYkEAt09BaNzFWDjA1Dnhb9J2ktGbhlbNtGMA2dXLRlZgueY3T60QDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:32.982533Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.06756","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cd19053c82410c03575f1feee8ddf3dc63b692307ac1a0014747b29c5dbef349","sha256:0e9a0f28cb0de0cbe8cef7f40df9f63913a7beda4a90cd4eaea735aeedb60b3f"],"state_sha256":"facbfdd46280bc7289142fe151398cbe53ae6743ff3beb2459d32eab60bfd7e6"}