{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:MYXOF6HYDOVETBKYMJJQIBLAOC","short_pith_number":"pith:MYXOF6HY","canonical_record":{"source":{"id":"1708.04780","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-08-16T06:10:05Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"ae2fa6dd6f2ebe9fb5d0643b8f0d6c725fe7e1a5d4f5717f42bb1c07ee02cb86","abstract_canon_sha256":"543a5608fd2b3c252f797f539ac59ee1a30c48ece06bf22a24ec9bd091ceab91"},"schema_version":"1.0"},"canonical_sha256":"662ee2f8f81baa498558625304056070a61f1415fde9cdaab1898e0bd3864805","source":{"kind":"arxiv","id":"1708.04780","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.04780","created_at":"2026-05-18T00:29:45Z"},{"alias_kind":"arxiv_version","alias_value":"1708.04780v2","created_at":"2026-05-18T00:29:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.04780","created_at":"2026-05-18T00:29:45Z"},{"alias_kind":"pith_short_12","alias_value":"MYXOF6HYDOVE","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MYXOF6HYDOVETBKY","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MYXOF6HY","created_at":"2026-05-18T12:31:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:MYXOF6HYDOVETBKYMJJQIBLAOC","target":"record","payload":{"canonical_record":{"source":{"id":"1708.04780","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-08-16T06:10:05Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"ae2fa6dd6f2ebe9fb5d0643b8f0d6c725fe7e1a5d4f5717f42bb1c07ee02cb86","abstract_canon_sha256":"543a5608fd2b3c252f797f539ac59ee1a30c48ece06bf22a24ec9bd091ceab91"},"schema_version":"1.0"},"canonical_sha256":"662ee2f8f81baa498558625304056070a61f1415fde9cdaab1898e0bd3864805","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:29:45.628880Z","signature_b64":"8yX9EkePKGECkKsAodjPcc3sFIy2waHQttsX+H+gKfA8FnD/zaLMhA1XvW6tiTlDNT7lpQlkSmwmQLwDSdFLAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"662ee2f8f81baa498558625304056070a61f1415fde9cdaab1898e0bd3864805","last_reissued_at":"2026-05-18T00:29:45.628249Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:29:45.628249Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.04780","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:29:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fregY/ls+9CizY44PtPt6XuVG7Nk/8iln08AeSaz4ievhH7yFIz5RbxQPZzOjcAAHjR9uWPKydFzTXDz6+usDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T08:50:08.532309Z"},"content_sha256":"77bdb533c3ae399cf58eb61ab694742b2802bbab9093f30afa25d427cc337844","schema_version":"1.0","event_id":"sha256:77bdb533c3ae399cf58eb61ab694742b2802bbab9093f30afa25d427cc337844"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:MYXOF6HYDOVETBKYMJJQIBLAOC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Harmonic maps and wild Teichm\\\"uller spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.DG","authors_text":"Subhojoy Gupta","submitted_at":"2017-08-16T06:10:05Z","abstract_excerpt":"We use meromorphic quadratic differentials with higher order poles to parametrize the Teichm\\\"uller space of crowned hyperbolic surfaces. Such a surface is obtained on uniformizing a compact Riemann surface with marked points on its boundary components, and has non-compact ends with boundary cusps. This extends Wolf's parametrization of the Teichm\\\"uller space of a closed surface using holomorphic quadratic differentials. Our proof involves showing the existence of a harmonic map from a punctured Riemann surface to a crowned hyperbolic surface, with prescribed principal parts of its Hopf diffe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.04780","kind":"arxiv","version":2},"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":"2026-05-18T00:29:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8w0LRyF3oiSM3yl5axyd3tkpZ57AzGCaFnSzJxxBdCrsdQvIpnqfIGJgdLPqg5hRp05J2e5uG03vz59b96pcAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T08:50:08.532983Z"},"content_sha256":"339a71bfe7242a809791a8bc7b7538571ec7d639c5e82f7e8635acb83fe0aefb","schema_version":"1.0","event_id":"sha256:339a71bfe7242a809791a8bc7b7538571ec7d639c5e82f7e8635acb83fe0aefb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MYXOF6HYDOVETBKYMJJQIBLAOC/bundle.json","state_url":"https://pith.science/pith/MYXOF6HYDOVETBKYMJJQIBLAOC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MYXOF6HYDOVETBKYMJJQIBLAOC/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":"2026-05-30T08:50:08Z","links":{"resolver":"https://pith.science/pith/MYXOF6HYDOVETBKYMJJQIBLAOC","bundle":"https://pith.science/pith/MYXOF6HYDOVETBKYMJJQIBLAOC/bundle.json","state":"https://pith.science/pith/MYXOF6HYDOVETBKYMJJQIBLAOC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MYXOF6HYDOVETBKYMJJQIBLAOC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:MYXOF6HYDOVETBKYMJJQIBLAOC","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":"543a5608fd2b3c252f797f539ac59ee1a30c48ece06bf22a24ec9bd091ceab91","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-08-16T06:10:05Z","title_canon_sha256":"ae2fa6dd6f2ebe9fb5d0643b8f0d6c725fe7e1a5d4f5717f42bb1c07ee02cb86"},"schema_version":"1.0","source":{"id":"1708.04780","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.04780","created_at":"2026-05-18T00:29:45Z"},{"alias_kind":"arxiv_version","alias_value":"1708.04780v2","created_at":"2026-05-18T00:29:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.04780","created_at":"2026-05-18T00:29:45Z"},{"alias_kind":"pith_short_12","alias_value":"MYXOF6HYDOVE","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MYXOF6HYDOVETBKY","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MYXOF6HY","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:339a71bfe7242a809791a8bc7b7538571ec7d639c5e82f7e8635acb83fe0aefb","target":"graph","created_at":"2026-05-18T00:29:45Z","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":"We use meromorphic quadratic differentials with higher order poles to parametrize the Teichm\\\"uller space of crowned hyperbolic surfaces. Such a surface is obtained on uniformizing a compact Riemann surface with marked points on its boundary components, and has non-compact ends with boundary cusps. This extends Wolf's parametrization of the Teichm\\\"uller space of a closed surface using holomorphic quadratic differentials. Our proof involves showing the existence of a harmonic map from a punctured Riemann surface to a crowned hyperbolic surface, with prescribed principal parts of its Hopf diffe","authors_text":"Subhojoy Gupta","cross_cats":["math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-08-16T06:10:05Z","title":"Harmonic maps and wild Teichm\\\"uller spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.04780","kind":"arxiv","version":2},"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":"sha256:77bdb533c3ae399cf58eb61ab694742b2802bbab9093f30afa25d427cc337844","target":"record","created_at":"2026-05-18T00:29:45Z","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":"543a5608fd2b3c252f797f539ac59ee1a30c48ece06bf22a24ec9bd091ceab91","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-08-16T06:10:05Z","title_canon_sha256":"ae2fa6dd6f2ebe9fb5d0643b8f0d6c725fe7e1a5d4f5717f42bb1c07ee02cb86"},"schema_version":"1.0","source":{"id":"1708.04780","kind":"arxiv","version":2}},"canonical_sha256":"662ee2f8f81baa498558625304056070a61f1415fde9cdaab1898e0bd3864805","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"662ee2f8f81baa498558625304056070a61f1415fde9cdaab1898e0bd3864805","first_computed_at":"2026-05-18T00:29:45.628249Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:45.628249Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8yX9EkePKGECkKsAodjPcc3sFIy2waHQttsX+H+gKfA8FnD/zaLMhA1XvW6tiTlDNT7lpQlkSmwmQLwDSdFLAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:45.628880Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.04780","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:77bdb533c3ae399cf58eb61ab694742b2802bbab9093f30afa25d427cc337844","sha256:339a71bfe7242a809791a8bc7b7538571ec7d639c5e82f7e8635acb83fe0aefb"],"state_sha256":"80c3325d03c9d0e64ca930b62ffdd101ae3ecae81c6037d87bb49fd3cbf85bb8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BRU04xqRMQDspuBegJxotcef4uF44TyGs/n+t+eC2MJ3dirGvWz1B9V401N0iNMGDoKuDKGLl4T/jOOejeRzDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T08:50:08.537488Z","bundle_sha256":"32f018510b1f4449864ca97e002e205aa939edb465dd825bae2fae0da1217e72"}}