{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:A5DGXZ73JYTR5BBFR5U2E2MUHY","short_pith_number":"pith:A5DGXZ73","canonical_record":{"source":{"id":"1303.5242","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-03-21T12:32:53Z","cross_cats_sorted":[],"title_canon_sha256":"2f6f66efa634aea53bff1890af7d7f71b0f62ad75da6e996a4ff7381077e79b1","abstract_canon_sha256":"28f5ebc7ef86c96dbc95f690f6e4caa848458ec135a98921f6347af4a815b32c"},"schema_version":"1.0"},"canonical_sha256":"07466be7fb4e271e84258f69a269943e13a15498f5c7964b396055e8b0d1d093","source":{"kind":"arxiv","id":"1303.5242","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.5242","created_at":"2026-05-18T02:52:12Z"},{"alias_kind":"arxiv_version","alias_value":"1303.5242v5","created_at":"2026-05-18T02:52:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.5242","created_at":"2026-05-18T02:52:12Z"},{"alias_kind":"pith_short_12","alias_value":"A5DGXZ73JYTR","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"A5DGXZ73JYTR5BBF","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"A5DGXZ73","created_at":"2026-05-18T12:27:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:A5DGXZ73JYTR5BBFR5U2E2MUHY","target":"record","payload":{"canonical_record":{"source":{"id":"1303.5242","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-03-21T12:32:53Z","cross_cats_sorted":[],"title_canon_sha256":"2f6f66efa634aea53bff1890af7d7f71b0f62ad75da6e996a4ff7381077e79b1","abstract_canon_sha256":"28f5ebc7ef86c96dbc95f690f6e4caa848458ec135a98921f6347af4a815b32c"},"schema_version":"1.0"},"canonical_sha256":"07466be7fb4e271e84258f69a269943e13a15498f5c7964b396055e8b0d1d093","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:52:12.702086Z","signature_b64":"EexyIyNy5AHNMgIE5XSN+PxSCaveugE3lK11pIyLIIguCHMjL2fiHyYR48Uxl1SK+2a1rcCyWiVjSi18ir3nAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"07466be7fb4e271e84258f69a269943e13a15498f5c7964b396055e8b0d1d093","last_reissued_at":"2026-05-18T02:52:12.701478Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:52:12.701478Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.5242","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:52:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z1Uvvd7Uw+R1+0QOZ254ZT7pNLIP3LeuuuvoC1/SGydwEqueLrtQ1iRchcV+Rz6Kfe7kzPTZGlwKrnn82UMWBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T06:57:22.423296Z"},"content_sha256":"32f58b7fa740d716847a453fcf037409d04286915fa9c69fd9da0766c9b6ba41","schema_version":"1.0","event_id":"sha256:32f58b7fa740d716847a453fcf037409d04286915fa9c69fd9da0766c9b6ba41"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:A5DGXZ73JYTR5BBFR5U2E2MUHY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Holomorphic maps with large images","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Bo-Yong Chen, Xu Wang","submitted_at":"2013-03-21T12:32:53Z","abstract_excerpt":"We show that each pseudoconvex domain $\\Omega\\subset {\\mathbb C}^n$ admits a holomorphic map $F$ to ${\\mathbb C}^m$ with $|F|\\le C_1 e^{C_2 \\hat{\\delta}^{-6}}$, where $\\hat{\\delta}$ is the minimum of the boundary distance and $(1+|z|^2)^{-1/2}$, such that every boundary point is a Casorati-Weierstrass point of $F$. Based on this fact, we introduce a new anti-hyperbolic concept --- universal dominability. We also show that for each $\\alpha>6$ and each pseudoconvex domain $\\Omega\\subset {\\mathbb C}^n$, there is a holomorphic function $f$ on ${\\Omega}$ with $|f|\\le C_\\alpha e^{C_\\alpha' \\hat{\\del"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.5242","kind":"arxiv","version":5},"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":"2026-05-18T02:52:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jM/oS/sHGOK+M0xBBHpCPh2DwuuA9mTo23grrVQZ4XKFuDNctKol/a8RzjTWi7bI+0erFXoVLvQFUv/3gZXfCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T06:57:22.423665Z"},"content_sha256":"a2d761b60419a2cbcc9ef0b65a95695ef35b5730c83a799b087f5659aa4a5396","schema_version":"1.0","event_id":"sha256:a2d761b60419a2cbcc9ef0b65a95695ef35b5730c83a799b087f5659aa4a5396"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A5DGXZ73JYTR5BBFR5U2E2MUHY/bundle.json","state_url":"https://pith.science/pith/A5DGXZ73JYTR5BBFR5U2E2MUHY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A5DGXZ73JYTR5BBFR5U2E2MUHY/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":"2026-07-03T06:57:22Z","links":{"resolver":"https://pith.science/pith/A5DGXZ73JYTR5BBFR5U2E2MUHY","bundle":"https://pith.science/pith/A5DGXZ73JYTR5BBFR5U2E2MUHY/bundle.json","state":"https://pith.science/pith/A5DGXZ73JYTR5BBFR5U2E2MUHY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A5DGXZ73JYTR5BBFR5U2E2MUHY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:A5DGXZ73JYTR5BBFR5U2E2MUHY","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":"28f5ebc7ef86c96dbc95f690f6e4caa848458ec135a98921f6347af4a815b32c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-03-21T12:32:53Z","title_canon_sha256":"2f6f66efa634aea53bff1890af7d7f71b0f62ad75da6e996a4ff7381077e79b1"},"schema_version":"1.0","source":{"id":"1303.5242","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.5242","created_at":"2026-05-18T02:52:12Z"},{"alias_kind":"arxiv_version","alias_value":"1303.5242v5","created_at":"2026-05-18T02:52:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.5242","created_at":"2026-05-18T02:52:12Z"},{"alias_kind":"pith_short_12","alias_value":"A5DGXZ73JYTR","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"A5DGXZ73JYTR5BBF","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"A5DGXZ73","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:a2d761b60419a2cbcc9ef0b65a95695ef35b5730c83a799b087f5659aa4a5396","target":"graph","created_at":"2026-05-18T02:52:12Z","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 show that each pseudoconvex domain $\\Omega\\subset {\\mathbb C}^n$ admits a holomorphic map $F$ to ${\\mathbb C}^m$ with $|F|\\le C_1 e^{C_2 \\hat{\\delta}^{-6}}$, where $\\hat{\\delta}$ is the minimum of the boundary distance and $(1+|z|^2)^{-1/2}$, such that every boundary point is a Casorati-Weierstrass point of $F$. Based on this fact, we introduce a new anti-hyperbolic concept --- universal dominability. We also show that for each $\\alpha>6$ and each pseudoconvex domain $\\Omega\\subset {\\mathbb C}^n$, there is a holomorphic function $f$ on ${\\Omega}$ with $|f|\\le C_\\alpha e^{C_\\alpha' \\hat{\\del","authors_text":"Bo-Yong Chen, Xu Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-03-21T12:32:53Z","title":"Holomorphic maps with large images"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.5242","kind":"arxiv","version":5},"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":"sha256:32f58b7fa740d716847a453fcf037409d04286915fa9c69fd9da0766c9b6ba41","target":"record","created_at":"2026-05-18T02:52:12Z","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":"28f5ebc7ef86c96dbc95f690f6e4caa848458ec135a98921f6347af4a815b32c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-03-21T12:32:53Z","title_canon_sha256":"2f6f66efa634aea53bff1890af7d7f71b0f62ad75da6e996a4ff7381077e79b1"},"schema_version":"1.0","source":{"id":"1303.5242","kind":"arxiv","version":5}},"canonical_sha256":"07466be7fb4e271e84258f69a269943e13a15498f5c7964b396055e8b0d1d093","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"07466be7fb4e271e84258f69a269943e13a15498f5c7964b396055e8b0d1d093","first_computed_at":"2026-05-18T02:52:12.701478Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:52:12.701478Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EexyIyNy5AHNMgIE5XSN+PxSCaveugE3lK11pIyLIIguCHMjL2fiHyYR48Uxl1SK+2a1rcCyWiVjSi18ir3nAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:52:12.702086Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.5242","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:32f58b7fa740d716847a453fcf037409d04286915fa9c69fd9da0766c9b6ba41","sha256:a2d761b60419a2cbcc9ef0b65a95695ef35b5730c83a799b087f5659aa4a5396"],"state_sha256":"a09e98e335e214af28f85b046bf9f2af7199a658ecd4cff434cbda59a3ddf45d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4/NtW+7xiVS+YhsLNvXR1ae4CtFrKE9pznMRJODXuTrI3N2Wl35u0/sTIgNgjArzmLIrm4rwJh4SShu5Y+hFBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T06:57:22.425506Z","bundle_sha256":"7e0bc40d619c1c604ac691f55bab45b85f410152fa1beeeafdefcf231584ce95"}}