{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:A2SVRYK3BLKZTH3TCASZEUODAG","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":"c7cd77a20621a44d8f143881957ff8e56e309eb58e5cbfaa60fc75fb145d7ed2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-03-02T12:07:58Z","title_canon_sha256":"0aedd21a6513b5e61be631dde5833a042d63597b3a1d1af9de946a9c422252a5"},"schema_version":"1.0","source":{"id":"1603.00674","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.00674","created_at":"2026-05-18T01:19:43Z"},{"alias_kind":"arxiv_version","alias_value":"1603.00674v1","created_at":"2026-05-18T01:19:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.00674","created_at":"2026-05-18T01:19:43Z"},{"alias_kind":"pith_short_12","alias_value":"A2SVRYK3BLKZ","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"A2SVRYK3BLKZTH3T","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"A2SVRYK3","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:41d9804c151e997a128ebcd78dbb49aaae789c623c8dd60eec53c69397feed38","target":"graph","created_at":"2026-05-18T01:19:43Z","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 extend the difference analogue of Cartan's second main theorem for the case of slowly moving periodic hyperplanes, and introduce two different natural ways to find a difference analogue of the truncated second main theorem. As applications, we obtain a new Picard type theorem and difference analogues of the deficiency relation for holomorphic curves.","authors_text":"Kazuya Tohge, Nan Li, Risto Korhonen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-03-02T12:07:58Z","title":"Difference analogue of Cartan's Second Main Theorem for slowly moving periodic targets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.00674","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:fe503ada4ba79e2be554e15fe75de2f4a1a61c925595cf095b1e01165cc712ad","target":"record","created_at":"2026-05-18T01:19:43Z","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":"c7cd77a20621a44d8f143881957ff8e56e309eb58e5cbfaa60fc75fb145d7ed2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-03-02T12:07:58Z","title_canon_sha256":"0aedd21a6513b5e61be631dde5833a042d63597b3a1d1af9de946a9c422252a5"},"schema_version":"1.0","source":{"id":"1603.00674","kind":"arxiv","version":1}},"canonical_sha256":"06a558e15b0ad5999f7310259251c3019610ab6d162213ec301501356628cd0f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"06a558e15b0ad5999f7310259251c3019610ab6d162213ec301501356628cd0f","first_computed_at":"2026-05-18T01:19:43.204558Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:43.204558Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"r0pRylwNq2HHsNeohpNKahLKWZgjqTKlyrauhAWGMMAa5THMOfoXhO0mu2UOFrW9od305/T4oXT4lyrckHX3DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:43.204954Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.00674","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe503ada4ba79e2be554e15fe75de2f4a1a61c925595cf095b1e01165cc712ad","sha256:41d9804c151e997a128ebcd78dbb49aaae789c623c8dd60eec53c69397feed38"],"state_sha256":"a3476b170a1b3e84ae9b18b68e2cc2b350ba4a5f3ddf00f334c1c4db71ee70e6"}