{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:7NYJOTL7Q63VJCL3OZVOCGYHPU","short_pith_number":"pith:7NYJOTL7","canonical_record":{"source":{"id":"1703.03528","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-03-10T03:05:20Z","cross_cats_sorted":[],"title_canon_sha256":"bc79ffda0cf7e56e8358911949ce52eebf8508ceefc7e59e5111ec5cc185e6ed","abstract_canon_sha256":"4542aa13ba3f4b7a85c96aec7ead63ad96b36854b1431f13781e5b58c943bf6d"},"schema_version":"1.0"},"canonical_sha256":"fb70974d7f87b754897b766ae11b077d0d7de1452acadc2c7cd132d6a11a8991","source":{"kind":"arxiv","id":"1703.03528","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.03528","created_at":"2026-05-18T00:15:37Z"},{"alias_kind":"arxiv_version","alias_value":"1703.03528v2","created_at":"2026-05-18T00:15:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.03528","created_at":"2026-05-18T00:15:37Z"},{"alias_kind":"pith_short_12","alias_value":"7NYJOTL7Q63V","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"7NYJOTL7Q63VJCL3","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"7NYJOTL7","created_at":"2026-05-18T12:31:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:7NYJOTL7Q63VJCL3OZVOCGYHPU","target":"record","payload":{"canonical_record":{"source":{"id":"1703.03528","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-03-10T03:05:20Z","cross_cats_sorted":[],"title_canon_sha256":"bc79ffda0cf7e56e8358911949ce52eebf8508ceefc7e59e5111ec5cc185e6ed","abstract_canon_sha256":"4542aa13ba3f4b7a85c96aec7ead63ad96b36854b1431f13781e5b58c943bf6d"},"schema_version":"1.0"},"canonical_sha256":"fb70974d7f87b754897b766ae11b077d0d7de1452acadc2c7cd132d6a11a8991","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:15:37.828624Z","signature_b64":"461RIRAMGVjtF7CNdATybTwwZyyU4SgVG7EsRxieE8NaSact0qwrOt8IxAiSzoxC7rwGj2IhwOZg5cNi2MtAAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fb70974d7f87b754897b766ae11b077d0d7de1452acadc2c7cd132d6a11a8991","last_reissued_at":"2026-05-18T00:15:37.828066Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:15:37.828066Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.03528","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":"2026-05-18T00:15:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BizXBWvQIIiZPBBAJ+sJnsnVqjbNdutBKtmYiKI1OmfotZ+PmPmR6Mj5p79P8ZbaXtHTga9cFIG/y0edVWJWAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T03:57:13.542847Z"},"content_sha256":"34316e8f498914958234974b4bceccb24710c16e88ed17d0aa05db8dd62ae478","schema_version":"1.0","event_id":"sha256:34316e8f498914958234974b4bceccb24710c16e88ed17d0aa05db8dd62ae478"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:7NYJOTL7Q63VJCL3OZVOCGYHPU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Difference analogue of second main theorems for meromorphic mapping into algebraic variety","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Nguyen Van Thin, Pei Chu Hu","submitted_at":"2017-03-10T03:05:20Z","abstract_excerpt":"In this paper, we prove some difference analogue of second main theorems of meromorphic mapping from Cm into an algebraic variety V intersecting a finite set of fixed hypersurfaces in subgeneral position. As an application, we prove a result on algebraically degenerate of holomorphic curves intersecting hypersurfaces and difference analogue of Picard's theorem on holomorphic curves. Furthermore, we obtain a second main theorem of meromorphic mappings intersecting hypersurfaces in N-subgeneral position for Veronese embedding in Pn(C) and a uniqueness theorem sharing hypersurfaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.03528","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":"2026-05-18T00:15:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BRizzgJiAxs/QSOMhBbc48luZnGUtcCIJFGvogy2UFB++WJIqwCF8HPVoPGIDw7Pa0lgSaOF7sNgVVdMMACSDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T03:57:13.543207Z"},"content_sha256":"978c8b408007264f337987b75729f40c349a6c5a0c8cc974a170dbf840f5d49c","schema_version":"1.0","event_id":"sha256:978c8b408007264f337987b75729f40c349a6c5a0c8cc974a170dbf840f5d49c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7NYJOTL7Q63VJCL3OZVOCGYHPU/bundle.json","state_url":"https://pith.science/pith/7NYJOTL7Q63VJCL3OZVOCGYHPU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7NYJOTL7Q63VJCL3OZVOCGYHPU/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":"2026-06-27T03:57:13Z","links":{"resolver":"https://pith.science/pith/7NYJOTL7Q63VJCL3OZVOCGYHPU","bundle":"https://pith.science/pith/7NYJOTL7Q63VJCL3OZVOCGYHPU/bundle.json","state":"https://pith.science/pith/7NYJOTL7Q63VJCL3OZVOCGYHPU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7NYJOTL7Q63VJCL3OZVOCGYHPU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:7NYJOTL7Q63VJCL3OZVOCGYHPU","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":"4542aa13ba3f4b7a85c96aec7ead63ad96b36854b1431f13781e5b58c943bf6d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-03-10T03:05:20Z","title_canon_sha256":"bc79ffda0cf7e56e8358911949ce52eebf8508ceefc7e59e5111ec5cc185e6ed"},"schema_version":"1.0","source":{"id":"1703.03528","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.03528","created_at":"2026-05-18T00:15:37Z"},{"alias_kind":"arxiv_version","alias_value":"1703.03528v2","created_at":"2026-05-18T00:15:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.03528","created_at":"2026-05-18T00:15:37Z"},{"alias_kind":"pith_short_12","alias_value":"7NYJOTL7Q63V","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"7NYJOTL7Q63VJCL3","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"7NYJOTL7","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:978c8b408007264f337987b75729f40c349a6c5a0c8cc974a170dbf840f5d49c","target":"graph","created_at":"2026-05-18T00:15:37Z","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":"In this paper, we prove some difference analogue of second main theorems of meromorphic mapping from Cm into an algebraic variety V intersecting a finite set of fixed hypersurfaces in subgeneral position. As an application, we prove a result on algebraically degenerate of holomorphic curves intersecting hypersurfaces and difference analogue of Picard's theorem on holomorphic curves. Furthermore, we obtain a second main theorem of meromorphic mappings intersecting hypersurfaces in N-subgeneral position for Veronese embedding in Pn(C) and a uniqueness theorem sharing hypersurfaces.","authors_text":"Nguyen Van Thin, Pei Chu Hu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-03-10T03:05:20Z","title":"Difference analogue of second main theorems for meromorphic mapping into algebraic variety"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.03528","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":"sha256:34316e8f498914958234974b4bceccb24710c16e88ed17d0aa05db8dd62ae478","target":"record","created_at":"2026-05-18T00:15:37Z","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":"4542aa13ba3f4b7a85c96aec7ead63ad96b36854b1431f13781e5b58c943bf6d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-03-10T03:05:20Z","title_canon_sha256":"bc79ffda0cf7e56e8358911949ce52eebf8508ceefc7e59e5111ec5cc185e6ed"},"schema_version":"1.0","source":{"id":"1703.03528","kind":"arxiv","version":2}},"canonical_sha256":"fb70974d7f87b754897b766ae11b077d0d7de1452acadc2c7cd132d6a11a8991","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fb70974d7f87b754897b766ae11b077d0d7de1452acadc2c7cd132d6a11a8991","first_computed_at":"2026-05-18T00:15:37.828066Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:37.828066Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"461RIRAMGVjtF7CNdATybTwwZyyU4SgVG7EsRxieE8NaSact0qwrOt8IxAiSzoxC7rwGj2IhwOZg5cNi2MtAAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:37.828624Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.03528","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:34316e8f498914958234974b4bceccb24710c16e88ed17d0aa05db8dd62ae478","sha256:978c8b408007264f337987b75729f40c349a6c5a0c8cc974a170dbf840f5d49c"],"state_sha256":"b5f1db2a14eb3fe276f4958c7c93c44b8c68615f4f54f2d4326505f2c993a57d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ys2r07pNBPzrahBsX2bTTm+GDA8VhwG+yMd5j1EfyAK1Xq8xFfHFc90R3POYpjgN+af2AuHozTHTLpkcfMbyDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T03:57:13.545047Z","bundle_sha256":"086132a4dbcb14abf1b8b1384c50065269dbcf7136da0222b80e7ec9ed4c734a"}}