{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:BSFHBXTGZ6IH7UFXVTQNIZB6FB","short_pith_number":"pith:BSFHBXTG","canonical_record":{"source":{"id":"1105.2648","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.CV","submitted_at":"2011-05-13T08:20:52Z","cross_cats_sorted":[],"title_canon_sha256":"288e4599ffa55b417ddb41effe6d9a07456b109b3be3e922509d6139add0f8ec","abstract_canon_sha256":"025f6d916f72302f499b812184d8c0d3ce91c4462e2a096f9c3ae9cea17a913a"},"schema_version":"1.0"},"canonical_sha256":"0c8a70de66cf907fd0b7ace0d4643e2844d003012d52aedf9469890d427c1a6c","source":{"kind":"arxiv","id":"1105.2648","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.2648","created_at":"2026-05-18T02:32:12Z"},{"alias_kind":"arxiv_version","alias_value":"1105.2648v3","created_at":"2026-05-18T02:32:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.2648","created_at":"2026-05-18T02:32:12Z"},{"alias_kind":"pith_short_12","alias_value":"BSFHBXTGZ6IH","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"BSFHBXTGZ6IH7UFX","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"BSFHBXTG","created_at":"2026-05-18T12:26:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:BSFHBXTGZ6IH7UFXVTQNIZB6FB","target":"record","payload":{"canonical_record":{"source":{"id":"1105.2648","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.CV","submitted_at":"2011-05-13T08:20:52Z","cross_cats_sorted":[],"title_canon_sha256":"288e4599ffa55b417ddb41effe6d9a07456b109b3be3e922509d6139add0f8ec","abstract_canon_sha256":"025f6d916f72302f499b812184d8c0d3ce91c4462e2a096f9c3ae9cea17a913a"},"schema_version":"1.0"},"canonical_sha256":"0c8a70de66cf907fd0b7ace0d4643e2844d003012d52aedf9469890d427c1a6c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:32:12.398368Z","signature_b64":"wzIs0tS4dLsmj9KmwrZBbUlNhdMgYqoFutHiIRj2cwRsGEmpCNQ4i+8EcCXz3lCHmodaKZjbjYoOF+Gc/RfiAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0c8a70de66cf907fd0b7ace0d4643e2844d003012d52aedf9469890d427c1a6c","last_reissued_at":"2026-05-18T02:32:12.397977Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:32:12.397977Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1105.2648","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:32:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LmU7SL7MdnZKvFI1w0XNVxuSLtxgsjatotyU8NAmDkAAdYR/7to7v5mm2zsjsHVTITU8Db4klWrvH6JtLMYDBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T02:35:49.035185Z"},"content_sha256":"ac21d26963deddbe612a1330f268405e9a2c3da2e30878ee1b4c94e1a1d7b391","schema_version":"1.0","event_id":"sha256:ac21d26963deddbe612a1330f268405e9a2c3da2e30878ee1b4c94e1a1d7b391"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:BSFHBXTGZ6IH7UFXVTQNIZB6FB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Proper holomorphic mappings between hyperbolic product manifolds","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Jaikrishnan Janardhanan","submitted_at":"2011-05-13T08:20:52Z","abstract_excerpt":"We prove a result on the structure of finite proper holomorphic mappings between complex manifolds that are products of hyperbolic Riemann surfaces. While an important special case of our result follows from the ideas developed by Remmert and Stein, the proof of the full result relies on the interplay of the latter ideas and a finiteness theorem for Riemann surfaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.2648","kind":"arxiv","version":3},"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":"2026-05-18T02:32:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6G2kM0BTRZsdnmSxmFd3l1emCkHfSox9sCxFVy/fpMAq1YSJ/JGbLsBbLHo7SeenU6ZuY6nB5bEq4AVUufjQBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T02:35:49.035536Z"},"content_sha256":"4ac2a603aa0f626842337e23a4e9cfe04195ccfe379b78440d71181f7a9e27d9","schema_version":"1.0","event_id":"sha256:4ac2a603aa0f626842337e23a4e9cfe04195ccfe379b78440d71181f7a9e27d9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BSFHBXTGZ6IH7UFXVTQNIZB6FB/bundle.json","state_url":"https://pith.science/pith/BSFHBXTGZ6IH7UFXVTQNIZB6FB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BSFHBXTGZ6IH7UFXVTQNIZB6FB/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":"2026-06-02T02:35:49Z","links":{"resolver":"https://pith.science/pith/BSFHBXTGZ6IH7UFXVTQNIZB6FB","bundle":"https://pith.science/pith/BSFHBXTGZ6IH7UFXVTQNIZB6FB/bundle.json","state":"https://pith.science/pith/BSFHBXTGZ6IH7UFXVTQNIZB6FB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BSFHBXTGZ6IH7UFXVTQNIZB6FB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:BSFHBXTGZ6IH7UFXVTQNIZB6FB","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":"025f6d916f72302f499b812184d8c0d3ce91c4462e2a096f9c3ae9cea17a913a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.CV","submitted_at":"2011-05-13T08:20:52Z","title_canon_sha256":"288e4599ffa55b417ddb41effe6d9a07456b109b3be3e922509d6139add0f8ec"},"schema_version":"1.0","source":{"id":"1105.2648","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.2648","created_at":"2026-05-18T02:32:12Z"},{"alias_kind":"arxiv_version","alias_value":"1105.2648v3","created_at":"2026-05-18T02:32:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.2648","created_at":"2026-05-18T02:32:12Z"},{"alias_kind":"pith_short_12","alias_value":"BSFHBXTGZ6IH","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"BSFHBXTGZ6IH7UFX","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"BSFHBXTG","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:4ac2a603aa0f626842337e23a4e9cfe04195ccfe379b78440d71181f7a9e27d9","target":"graph","created_at":"2026-05-18T02:32:12Z","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 prove a result on the structure of finite proper holomorphic mappings between complex manifolds that are products of hyperbolic Riemann surfaces. While an important special case of our result follows from the ideas developed by Remmert and Stein, the proof of the full result relies on the interplay of the latter ideas and a finiteness theorem for Riemann surfaces.","authors_text":"Jaikrishnan Janardhanan","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.CV","submitted_at":"2011-05-13T08:20:52Z","title":"Proper holomorphic mappings between hyperbolic product manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.2648","kind":"arxiv","version":3},"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:ac21d26963deddbe612a1330f268405e9a2c3da2e30878ee1b4c94e1a1d7b391","target":"record","created_at":"2026-05-18T02:32:12Z","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":"025f6d916f72302f499b812184d8c0d3ce91c4462e2a096f9c3ae9cea17a913a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.CV","submitted_at":"2011-05-13T08:20:52Z","title_canon_sha256":"288e4599ffa55b417ddb41effe6d9a07456b109b3be3e922509d6139add0f8ec"},"schema_version":"1.0","source":{"id":"1105.2648","kind":"arxiv","version":3}},"canonical_sha256":"0c8a70de66cf907fd0b7ace0d4643e2844d003012d52aedf9469890d427c1a6c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0c8a70de66cf907fd0b7ace0d4643e2844d003012d52aedf9469890d427c1a6c","first_computed_at":"2026-05-18T02:32:12.397977Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:12.397977Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wzIs0tS4dLsmj9KmwrZBbUlNhdMgYqoFutHiIRj2cwRsGEmpCNQ4i+8EcCXz3lCHmodaKZjbjYoOF+Gc/RfiAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:12.398368Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.2648","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ac21d26963deddbe612a1330f268405e9a2c3da2e30878ee1b4c94e1a1d7b391","sha256:4ac2a603aa0f626842337e23a4e9cfe04195ccfe379b78440d71181f7a9e27d9"],"state_sha256":"1dfc9e642cd878b670deda92aa8a451c07e174e74d3f5493a7a40d03b60d6350"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zILXdvdHdVTRSINpXRRnnAcc0OzjhED5Y3QCrTXZla1ck9g+JvhnCNOpMAWDr9wZT6TgRoJtzV/0xFTHvJNiAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T02:35:49.037370Z","bundle_sha256":"db9c6665d58985c2feadcbdca0b547c3687bb05b45501a71bfdfc7b0d45a99d4"}}