{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:EYV4R72D6ZDCF3NDPY2SADQPNS","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":"0f8eead323a1c13f2f594bbbed4a5572774c9edefe6f6795640b181dd1b96f9b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-11-03T18:51:03Z","title_canon_sha256":"77952d0065a7500726f99b0b1712fce08de6cdfc2717f4306aef7bb7d0e18258"},"schema_version":"1.0","source":{"id":"1411.0603","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.0603","created_at":"2026-05-18T02:38:45Z"},{"alias_kind":"arxiv_version","alias_value":"1411.0603v1","created_at":"2026-05-18T02:38:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.0603","created_at":"2026-05-18T02:38:45Z"},{"alias_kind":"pith_short_12","alias_value":"EYV4R72D6ZDC","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"EYV4R72D6ZDCF3ND","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"EYV4R72D","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:36965b46f555039d7ca1ffaf15c04ccf484607a32f48e7d345308f6b59d64f4a","target":"graph","created_at":"2026-05-18T02:38:45Z","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 a general Schwarz lemma at the boundary for holomorphic mappings from the polydisc to the unit ball in any dimensions. For the special case of one complex variable, the obtained results give the classic boundary Schwarz lemma.","authors_text":"Yang Liu, Yifei Pan, Zhihua Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-11-03T18:51:03Z","title":"A boundary Schwarz lemma for holomorphic mappings from the polydisc to the unit ball"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.0603","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:aa0d4e4b179e929b4435fab7d8a707faa4f374c35416ebb8f83de9861e9cc40c","target":"record","created_at":"2026-05-18T02:38:45Z","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":"0f8eead323a1c13f2f594bbbed4a5572774c9edefe6f6795640b181dd1b96f9b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-11-03T18:51:03Z","title_canon_sha256":"77952d0065a7500726f99b0b1712fce08de6cdfc2717f4306aef7bb7d0e18258"},"schema_version":"1.0","source":{"id":"1411.0603","kind":"arxiv","version":1}},"canonical_sha256":"262bc8ff43f64622eda37e35200e0f6ca08eaec8779b733917d83e167b295d02","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"262bc8ff43f64622eda37e35200e0f6ca08eaec8779b733917d83e167b295d02","first_computed_at":"2026-05-18T02:38:45.019078Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:38:45.019078Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f4uKcp/9J7VEvc4Y5j12vorPTevJ+EMZOZ6rB1TqAu0EhckU9tLzreZGyMF734UZfVZQ2poHJHhP/ixnM193Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:38:45.019734Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.0603","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa0d4e4b179e929b4435fab7d8a707faa4f374c35416ebb8f83de9861e9cc40c","sha256:36965b46f555039d7ca1ffaf15c04ccf484607a32f48e7d345308f6b59d64f4a"],"state_sha256":"d5463b5d10ab4dd1fc1d2777d66cb9daa59980f22f09bb792b758fe22c9dd3eb"}