{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:QEPFGHJQ66TDRNOY4WTP3LGUWB","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":"cdf91f20197e5a2d8aa7171f31f2fb36396d02dc6ac2488b33ec238c8f1a2ba2","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-02-13T23:05:12Z","title_canon_sha256":"a31f8ba2693fa8cd36d4438fdd8d498ca9df59899611fd1dd2bbaba6db01fcef"},"schema_version":"1.0","source":{"id":"1202.2891","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.2891","created_at":"2026-05-18T04:02:24Z"},{"alias_kind":"arxiv_version","alias_value":"1202.2891v1","created_at":"2026-05-18T04:02:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.2891","created_at":"2026-05-18T04:02:24Z"},{"alias_kind":"pith_short_12","alias_value":"QEPFGHJQ66TD","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"QEPFGHJQ66TDRNOY","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"QEPFGHJQ","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:786e77e5f4a9ac82358c39c708a2778273e730edf313a5b35fb432bd9fcd93bd","target":"graph","created_at":"2026-05-18T04:02:24Z","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":"Let $K$ be a local field of residue characteristic $p$. Let $C$ be a curve over $K$ whose minimal proper regular model has totally degenerate semi-stable reduction. Under certain hypotheses, we compute the prime-to-$p$ rational torsion subgroup on the Jacobian of $C$. We also determine divisibility of line bundles on $C$, including rationality of theta characteristics and higher spin structures. These computations utilize arithmetic on the special fiber of $C$.","authors_text":"Shahed Sharif","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-02-13T23:05:12Z","title":"A descent map for curves with totally degenerate semi-stable reduction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.2891","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:bed5f0515aa2a660affd67d4b648cde67be395ffb4ea98a0698c4efed26b3abd","target":"record","created_at":"2026-05-18T04:02:24Z","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":"cdf91f20197e5a2d8aa7171f31f2fb36396d02dc6ac2488b33ec238c8f1a2ba2","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-02-13T23:05:12Z","title_canon_sha256":"a31f8ba2693fa8cd36d4438fdd8d498ca9df59899611fd1dd2bbaba6db01fcef"},"schema_version":"1.0","source":{"id":"1202.2891","kind":"arxiv","version":1}},"canonical_sha256":"811e531d30f7a638b5d8e5a6fdacd4b051f370d4d874f7ac46901237cd0fbe92","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"811e531d30f7a638b5d8e5a6fdacd4b051f370d4d874f7ac46901237cd0fbe92","first_computed_at":"2026-05-18T04:02:24.689968Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:02:24.689968Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"t1WYuigWlxNUVTVLV2r0N1YRstl1KjZAmQEQKMO+HZBy2JSoy9rYguugIJcs8jo2UchbNAZQkWHr1QC1EgekCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:02:24.690477Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.2891","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bed5f0515aa2a660affd67d4b648cde67be395ffb4ea98a0698c4efed26b3abd","sha256:786e77e5f4a9ac82358c39c708a2778273e730edf313a5b35fb432bd9fcd93bd"],"state_sha256":"5c7e60cf92ec2d2049f2840618da47d705f095f861a7e7cb31f62a44c9122f34"}