{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:DGCUGPOBRF557GYFZMOMITDNT2","short_pith_number":"pith:DGCUGPOB","canonical_record":{"source":{"id":"1609.07523","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-09-23T21:28:22Z","cross_cats_sorted":[],"title_canon_sha256":"bde90b984664baac8c87e00b33dc0cca0f33e42ce8e9c3553636572e912aa2c5","abstract_canon_sha256":"295e3b589f8b9ca185ec75df1079c6abe2e9fd7a0607413fe32982d3062a8cbb"},"schema_version":"1.0"},"canonical_sha256":"1985433dc1897bdf9b05cb1cc44c6d9eab93c01305bbf044fa3d61ccdb502947","source":{"kind":"arxiv","id":"1609.07523","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.07523","created_at":"2026-05-18T01:03:56Z"},{"alias_kind":"arxiv_version","alias_value":"1609.07523v1","created_at":"2026-05-18T01:03:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.07523","created_at":"2026-05-18T01:03:56Z"},{"alias_kind":"pith_short_12","alias_value":"DGCUGPOBRF55","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"DGCUGPOBRF557GYF","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"DGCUGPOB","created_at":"2026-05-18T12:30:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:DGCUGPOBRF557GYFZMOMITDNT2","target":"record","payload":{"canonical_record":{"source":{"id":"1609.07523","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-09-23T21:28:22Z","cross_cats_sorted":[],"title_canon_sha256":"bde90b984664baac8c87e00b33dc0cca0f33e42ce8e9c3553636572e912aa2c5","abstract_canon_sha256":"295e3b589f8b9ca185ec75df1079c6abe2e9fd7a0607413fe32982d3062a8cbb"},"schema_version":"1.0"},"canonical_sha256":"1985433dc1897bdf9b05cb1cc44c6d9eab93c01305bbf044fa3d61ccdb502947","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:03:56.151910Z","signature_b64":"D8eb8wkEkRq5rVNBgerBd66IXCNypgSFUuK+VtSA4rsYweMfLPVk313CESKgebGVbLgVpjyN3KgCSZxhgp8bBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1985433dc1897bdf9b05cb1cc44c6d9eab93c01305bbf044fa3d61ccdb502947","last_reissued_at":"2026-05-18T01:03:56.151250Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:03:56.151250Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.07523","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:03:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+caUirgGRJsqKi8XYcE240B9Eakp/kjJfq4WIVqlIr/+ptNhIU2JSsTaVR7kw5P2QfMBsm3tp+Guo0joPohjBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:10:40.648599Z"},"content_sha256":"dbe49e20b2a8f82f216de8ecea468f3ffcee9a6240da4ef2e4249861611dea4e","schema_version":"1.0","event_id":"sha256:dbe49e20b2a8f82f216de8ecea468f3ffcee9a6240da4ef2e4249861611dea4e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:DGCUGPOBRF557GYFZMOMITDNT2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Complexity of holomorphic maps from the complex unit ball to classical domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Ming Xiao, Yuan Yuan","submitted_at":"2016-09-23T21:28:22Z","abstract_excerpt":"We study the complexity of holomorphic isometries and proper maps from the complex unit ball to type IV classical domains. We investigate on degree estimates of holomorphic isometries and holomorphic maps with minimum target dimension. We also construct a real-parameter family of mutually inequivalent holomorphic isometries from the unit ball to type IV domains. We also provide examples of non-isometric proper holomorphic maps from the complex unit ball to classical domains."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.07523","kind":"arxiv","version":1},"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":"2026-05-18T01:03:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UTTPBzuRhkXd4EDisGuRemMUiXeu4LI0RHeITpU2gFWPTy0Q7USNTsWsegkj612T4oB71MAiQ0PYnlHhAV8EDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:10:40.648948Z"},"content_sha256":"59d16a6e42db2f4cb884e8b5c1a31e645905b25f31bf8876f4e5c9ee888c5217","schema_version":"1.0","event_id":"sha256:59d16a6e42db2f4cb884e8b5c1a31e645905b25f31bf8876f4e5c9ee888c5217"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DGCUGPOBRF557GYFZMOMITDNT2/bundle.json","state_url":"https://pith.science/pith/DGCUGPOBRF557GYFZMOMITDNT2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DGCUGPOBRF557GYFZMOMITDNT2/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":"2026-05-30T07:10:40Z","links":{"resolver":"https://pith.science/pith/DGCUGPOBRF557GYFZMOMITDNT2","bundle":"https://pith.science/pith/DGCUGPOBRF557GYFZMOMITDNT2/bundle.json","state":"https://pith.science/pith/DGCUGPOBRF557GYFZMOMITDNT2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DGCUGPOBRF557GYFZMOMITDNT2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:DGCUGPOBRF557GYFZMOMITDNT2","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":"295e3b589f8b9ca185ec75df1079c6abe2e9fd7a0607413fe32982d3062a8cbb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-09-23T21:28:22Z","title_canon_sha256":"bde90b984664baac8c87e00b33dc0cca0f33e42ce8e9c3553636572e912aa2c5"},"schema_version":"1.0","source":{"id":"1609.07523","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.07523","created_at":"2026-05-18T01:03:56Z"},{"alias_kind":"arxiv_version","alias_value":"1609.07523v1","created_at":"2026-05-18T01:03:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.07523","created_at":"2026-05-18T01:03:56Z"},{"alias_kind":"pith_short_12","alias_value":"DGCUGPOBRF55","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"DGCUGPOBRF557GYF","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"DGCUGPOB","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:59d16a6e42db2f4cb884e8b5c1a31e645905b25f31bf8876f4e5c9ee888c5217","target":"graph","created_at":"2026-05-18T01:03:56Z","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 study the complexity of holomorphic isometries and proper maps from the complex unit ball to type IV classical domains. We investigate on degree estimates of holomorphic isometries and holomorphic maps with minimum target dimension. We also construct a real-parameter family of mutually inequivalent holomorphic isometries from the unit ball to type IV domains. We also provide examples of non-isometric proper holomorphic maps from the complex unit ball to classical domains.","authors_text":"Ming Xiao, Yuan Yuan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-09-23T21:28:22Z","title":"Complexity of holomorphic maps from the complex unit ball to classical domains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.07523","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:dbe49e20b2a8f82f216de8ecea468f3ffcee9a6240da4ef2e4249861611dea4e","target":"record","created_at":"2026-05-18T01:03:56Z","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":"295e3b589f8b9ca185ec75df1079c6abe2e9fd7a0607413fe32982d3062a8cbb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-09-23T21:28:22Z","title_canon_sha256":"bde90b984664baac8c87e00b33dc0cca0f33e42ce8e9c3553636572e912aa2c5"},"schema_version":"1.0","source":{"id":"1609.07523","kind":"arxiv","version":1}},"canonical_sha256":"1985433dc1897bdf9b05cb1cc44c6d9eab93c01305bbf044fa3d61ccdb502947","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1985433dc1897bdf9b05cb1cc44c6d9eab93c01305bbf044fa3d61ccdb502947","first_computed_at":"2026-05-18T01:03:56.151250Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:03:56.151250Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"D8eb8wkEkRq5rVNBgerBd66IXCNypgSFUuK+VtSA4rsYweMfLPVk313CESKgebGVbLgVpjyN3KgCSZxhgp8bBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:03:56.151910Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.07523","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dbe49e20b2a8f82f216de8ecea468f3ffcee9a6240da4ef2e4249861611dea4e","sha256:59d16a6e42db2f4cb884e8b5c1a31e645905b25f31bf8876f4e5c9ee888c5217"],"state_sha256":"1b00a0e11025472aec355df32490e867fe5494045d6a1bac371d7aabde8a1f9c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8pWI7BpNNBFjQpsQtH7rcaUVYi1hd0Bv9KHn04MQD+j2JzPYPtqYJGMw2m90Tm7EXqdtBOub4U3eY5gtgcHVDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T07:10:40.651703Z","bundle_sha256":"378ce7f1d655b8ad58fac5f73e53f2a871bec5eca88f5e926fad37718b152255"}}