{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:DMYFOXWBSA2R27HF26NVG4YB47","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":"9b039cde34fc05cfb7fe4b626bb33dde9d74b0bcb88128e4053241d4e26828c6","cross_cats_sorted":["math.AG"],"license":"","primary_cat":"math.CV","submitted_at":"2007-11-12T07:46:19Z","title_canon_sha256":"136b71d672cf077ff44c6939d9b210913a1965b333fb9030a84da52f937f0cc8"},"schema_version":"1.0","source":{"id":"0711.1720","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0711.1720","created_at":"2026-05-18T02:32:44Z"},{"alias_kind":"arxiv_version","alias_value":"0711.1720v1","created_at":"2026-05-18T02:32:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0711.1720","created_at":"2026-05-18T02:32:44Z"},{"alias_kind":"pith_short_12","alias_value":"DMYFOXWBSA2R","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"DMYFOXWBSA2R27HF","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"DMYFOXWB","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:90c9317859616cb56a0e3e9311dc1fd9dea8c8ab14ea7f895ca3d92bcf218af4","target":"graph","created_at":"2026-05-18T02:32:44Z","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":"The purpose of this article is to show uniqueness theorems for meromorphic mappings of C^m to CP^n with few hyperplanes H_j, j=1,...,q. It is well known that uniqueness theorems hold for q \\geq 3n+2.\n  In this paper we show that for every nonnegative integer c there exists a positive integer N(c), depending only on c in an explicit way, such that uniqueness theorems hold if q\\geq (3n+2 -c) and n\\geq N(c). Furthermore, we also show that the coefficient of n in the formula of q can be replaced by a number which is strictly smaller than 3 for all n>>0. At the same time, a big number of recent uni","authors_text":"Gerd Dethloff, Tran Van Tan","cross_cats":["math.AG"],"headline":"","license":"","primary_cat":"math.CV","submitted_at":"2007-11-12T07:46:19Z","title":"Uniqueness Theorems for Meromorphic Mappings with Few Targets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0711.1720","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":"sha256:536dae211b1a863bf8229ef4f365793c6ed75c29977e28c7fd875ffa87ae2029","target":"record","created_at":"2026-05-18T02:32:44Z","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":"9b039cde34fc05cfb7fe4b626bb33dde9d74b0bcb88128e4053241d4e26828c6","cross_cats_sorted":["math.AG"],"license":"","primary_cat":"math.CV","submitted_at":"2007-11-12T07:46:19Z","title_canon_sha256":"136b71d672cf077ff44c6939d9b210913a1965b333fb9030a84da52f937f0cc8"},"schema_version":"1.0","source":{"id":"0711.1720","kind":"arxiv","version":1}},"canonical_sha256":"1b30575ec190351d7ce5d79b537301e7d2491cdcd9f7b585ab002a225d9372c6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1b30575ec190351d7ce5d79b537301e7d2491cdcd9f7b585ab002a225d9372c6","first_computed_at":"2026-05-18T02:32:44.617066Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:44.617066Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gRBNhg2+mCavMVaBrNf9w1AqtXEEOh4ZlQ7uxw+GTy+hPIXPD+9BtnpQgKPIezYVnBSA0+nLFLSPt8qDMx1XBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:44.617539Z","signed_message":"canonical_sha256_bytes"},"source_id":"0711.1720","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:536dae211b1a863bf8229ef4f365793c6ed75c29977e28c7fd875ffa87ae2029","sha256:90c9317859616cb56a0e3e9311dc1fd9dea8c8ab14ea7f895ca3d92bcf218af4"],"state_sha256":"1a128b29206dac43f29aa4b9b437735b1d51cd2826fab33aba5dd267de7c7803"}