{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:XTEOHTSWDCKN2NETAABVI2CE62","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":"0b204ccd2673924b52e402bbbb9244b181b5c89263a30a0f8a5290ecdaa247f0","cross_cats_sorted":["math.CV","math.NT"],"license":"","primary_cat":"math.AG","submitted_at":"2007-08-02T19:50:12Z","title_canon_sha256":"1af124dd50f554b606f21c3b27cb62f1128a343be7233d53e560f69d8233e8a8"},"schema_version":"1.0","source":{"id":"0708.0401","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0708.0401","created_at":"2026-05-18T02:20:50Z"},{"alias_kind":"arxiv_version","alias_value":"0708.0401v1","created_at":"2026-05-18T02:20:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0708.0401","created_at":"2026-05-18T02:20:50Z"},{"alias_kind":"pith_short_12","alias_value":"XTEOHTSWDCKN","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"XTEOHTSWDCKN2NET","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"XTEOHTSW","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:5ed995fd5a01570ce2535d88b861374e001d12b14f8168c2abd7435e392a874f","target":"graph","created_at":"2026-05-18T02:20:50Z","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 prove non-Archimedean analogs of results of Noguchi and Winkelmann showing algebraic degeneracy of rigid analytic maps to projective varieties omitting an effective divisor with sufficiently many irreducible components relative to the rank of the group they generate in the Neron-Severi group of the variety.","authors_text":"Julie Tzu-Yueh Wang, Ta Thi Hoai An, William Cherry","cross_cats":["math.CV","math.NT"],"headline":"","license":"","primary_cat":"math.AG","submitted_at":"2007-08-02T19:50:12Z","title":"Algebraic Degeneracy of Non-Archimedean Analytic Maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0708.0401","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:c3889429160e64cf1f95a16d634c48f4c6bf8332ca645ac437ebc174b7e56c45","target":"record","created_at":"2026-05-18T02:20:50Z","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":"0b204ccd2673924b52e402bbbb9244b181b5c89263a30a0f8a5290ecdaa247f0","cross_cats_sorted":["math.CV","math.NT"],"license":"","primary_cat":"math.AG","submitted_at":"2007-08-02T19:50:12Z","title_canon_sha256":"1af124dd50f554b606f21c3b27cb62f1128a343be7233d53e560f69d8233e8a8"},"schema_version":"1.0","source":{"id":"0708.0401","kind":"arxiv","version":1}},"canonical_sha256":"bcc8e3ce561894dd34930003546844f6a9c37f58c7112322cc7aed81960f1dd5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bcc8e3ce561894dd34930003546844f6a9c37f58c7112322cc7aed81960f1dd5","first_computed_at":"2026-05-18T02:20:50.269751Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:20:50.269751Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pxcHZsdAzW0eJkJOyk+Ff1etAbMgrmiFNCx6xgBRbSROqk2KbSqebYH7aE+049qEAEHnSaVd3f4TO8zjHvEtBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:20:50.270547Z","signed_message":"canonical_sha256_bytes"},"source_id":"0708.0401","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c3889429160e64cf1f95a16d634c48f4c6bf8332ca645ac437ebc174b7e56c45","sha256:5ed995fd5a01570ce2535d88b861374e001d12b14f8168c2abd7435e392a874f"],"state_sha256":"2ed67bebed95922a584b37de8b1ddf740a770f32d79cc8a8c28c9e565198340e"}