{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:53DR7LCWNFPNPJX5XRGODC2GPD","short_pith_number":"pith:53DR7LCW","canonical_record":{"source":{"id":"2112.03131","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2021-12-06T15:58:37Z","cross_cats_sorted":["math.CV","math.DG"],"title_canon_sha256":"5d17b850a55f1b7932ce4887a9d77eec75ce62217e2f4ef93004937c244a2ed1","abstract_canon_sha256":"ea231727a59f3382c2b0d5697ccb3cb088af2fa7d8f2d6a8eec58786c05da871"},"schema_version":"1.0"},"canonical_sha256":"eec71fac56695ed7a6fdbc4ce18b4678f95ba0ad5e0e2d65dd753da82dca83d5","source":{"kind":"arxiv","id":"2112.03131","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.03131","created_at":"2026-07-05T03:38:02Z"},{"alias_kind":"arxiv_version","alias_value":"2112.03131v1","created_at":"2026-07-05T03:38:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.03131","created_at":"2026-07-05T03:38:02Z"},{"alias_kind":"pith_short_12","alias_value":"53DR7LCWNFPN","created_at":"2026-07-05T03:38:02Z"},{"alias_kind":"pith_short_16","alias_value":"53DR7LCWNFPNPJX5","created_at":"2026-07-05T03:38:02Z"},{"alias_kind":"pith_short_8","alias_value":"53DR7LCW","created_at":"2026-07-05T03:38:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:53DR7LCWNFPNPJX5XRGODC2GPD","target":"record","payload":{"canonical_record":{"source":{"id":"2112.03131","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2021-12-06T15:58:37Z","cross_cats_sorted":["math.CV","math.DG"],"title_canon_sha256":"5d17b850a55f1b7932ce4887a9d77eec75ce62217e2f4ef93004937c244a2ed1","abstract_canon_sha256":"ea231727a59f3382c2b0d5697ccb3cb088af2fa7d8f2d6a8eec58786c05da871"},"schema_version":"1.0"},"canonical_sha256":"eec71fac56695ed7a6fdbc4ce18b4678f95ba0ad5e0e2d65dd753da82dca83d5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:38:02.382669Z","signature_b64":"KwoWa/5898HhxPwPWGk2S4w5EoqRiNeUsVAS9ZY3RuId5sxhE5k8Wo4h/OI7BO3Qf3HgpmISQxJz6I6GP+wcCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eec71fac56695ed7a6fdbc4ce18b4678f95ba0ad5e0e2d65dd753da82dca83d5","last_reissued_at":"2026-07-05T03:38:02.382199Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:38:02.382199Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2112.03131","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":"2026-07-05T03:38:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cj/pYo7gamH7gOBRGTKJPgqw3lugcUYL7Y+Q3PPpq5Zzp+y2lGlgvnzWn6WobypgheUSYuKUltkORTHuwsB8Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T09:12:52.903204Z"},"content_sha256":"0c68176591e0547e170a94a8d4978e56d0a3376824dafa4614964e229a05dcbe","schema_version":"1.0","event_id":"sha256:0c68176591e0547e170a94a8d4978e56d0a3376824dafa4614964e229a05dcbe"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:53DR7LCWNFPNPJX5XRGODC2GPD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the existence of holomorphic curves in compact quotients of $\\mathrm{SL}(2,\\mathbb C)$","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.CV","math.DG"],"primary_cat":"math.AG","authors_text":"Indranil Biswas, Lynn Heller, Sebastian Heller, Sorin Dumitrescu","submitted_at":"2021-12-06T15:58:37Z","abstract_excerpt":"We prove the existence of a pair $(\\Sigma ,\\, \\Gamma)$, where $\\Sigma$ is a compact Riemann surface with $\\text{genus}(\\Sigma)\\, \\geq\\, 2$, and $\\Gamma\\, \\subset\\, {\\mathrm SL}(2, \\mathbb C)$ is a cocompact lattice, such that there is a generically injective holomorphic map $\\Sigma \\, \\longrightarrow\\, {\\mathrm SL}(2, \\mathbb C)/\\Gamma$. This gives an affirmative answer to a question raised by Huckleberry and Winkelmann \\cite{HW} and by Ghys \\cite{Gh}."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.03131","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2112.03131/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T03:38:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yBLDJKRy4NIgoqon3+GyCUP0IwNP3sAJsZBSu9qEYlN66AZ+oR8DG//0yvmmEVjDdan7ifCpUo+48Cs1yWngAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T09:12:52.903713Z"},"content_sha256":"5c3c893aa58b39db332a3f219a2fe577df295e0339855bd192f4bc27fdc2ddad","schema_version":"1.0","event_id":"sha256:5c3c893aa58b39db332a3f219a2fe577df295e0339855bd192f4bc27fdc2ddad"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/53DR7LCWNFPNPJX5XRGODC2GPD/bundle.json","state_url":"https://pith.science/pith/53DR7LCWNFPNPJX5XRGODC2GPD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/53DR7LCWNFPNPJX5XRGODC2GPD/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":"2026-08-20T09:12:52Z","links":{"resolver":"https://pith.science/pith/53DR7LCWNFPNPJX5XRGODC2GPD","bundle":"https://pith.science/pith/53DR7LCWNFPNPJX5XRGODC2GPD/bundle.json","state":"https://pith.science/pith/53DR7LCWNFPNPJX5XRGODC2GPD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/53DR7LCWNFPNPJX5XRGODC2GPD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:53DR7LCWNFPNPJX5XRGODC2GPD","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":"ea231727a59f3382c2b0d5697ccb3cb088af2fa7d8f2d6a8eec58786c05da871","cross_cats_sorted":["math.CV","math.DG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2021-12-06T15:58:37Z","title_canon_sha256":"5d17b850a55f1b7932ce4887a9d77eec75ce62217e2f4ef93004937c244a2ed1"},"schema_version":"1.0","source":{"id":"2112.03131","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.03131","created_at":"2026-07-05T03:38:02Z"},{"alias_kind":"arxiv_version","alias_value":"2112.03131v1","created_at":"2026-07-05T03:38:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.03131","created_at":"2026-07-05T03:38:02Z"},{"alias_kind":"pith_short_12","alias_value":"53DR7LCWNFPN","created_at":"2026-07-05T03:38:02Z"},{"alias_kind":"pith_short_16","alias_value":"53DR7LCWNFPNPJX5","created_at":"2026-07-05T03:38:02Z"},{"alias_kind":"pith_short_8","alias_value":"53DR7LCW","created_at":"2026-07-05T03:38:02Z"}],"graph_snapshots":[{"event_id":"sha256:5c3c893aa58b39db332a3f219a2fe577df295e0339855bd192f4bc27fdc2ddad","target":"graph","created_at":"2026-07-05T03:38:02Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2112.03131/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove the existence of a pair $(\\Sigma ,\\, \\Gamma)$, where $\\Sigma$ is a compact Riemann surface with $\\text{genus}(\\Sigma)\\, \\geq\\, 2$, and $\\Gamma\\, \\subset\\, {\\mathrm SL}(2, \\mathbb C)$ is a cocompact lattice, such that there is a generically injective holomorphic map $\\Sigma \\, \\longrightarrow\\, {\\mathrm SL}(2, \\mathbb C)/\\Gamma$. This gives an affirmative answer to a question raised by Huckleberry and Winkelmann \\cite{HW} and by Ghys \\cite{Gh}.","authors_text":"Indranil Biswas, Lynn Heller, Sebastian Heller, Sorin Dumitrescu","cross_cats":["math.CV","math.DG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2021-12-06T15:58:37Z","title":"On the existence of holomorphic curves in compact quotients of $\\mathrm{SL}(2,\\mathbb C)$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.03131","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":"sha256:0c68176591e0547e170a94a8d4978e56d0a3376824dafa4614964e229a05dcbe","target":"record","created_at":"2026-07-05T03:38:02Z","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":"ea231727a59f3382c2b0d5697ccb3cb088af2fa7d8f2d6a8eec58786c05da871","cross_cats_sorted":["math.CV","math.DG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2021-12-06T15:58:37Z","title_canon_sha256":"5d17b850a55f1b7932ce4887a9d77eec75ce62217e2f4ef93004937c244a2ed1"},"schema_version":"1.0","source":{"id":"2112.03131","kind":"arxiv","version":1}},"canonical_sha256":"eec71fac56695ed7a6fdbc4ce18b4678f95ba0ad5e0e2d65dd753da82dca83d5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eec71fac56695ed7a6fdbc4ce18b4678f95ba0ad5e0e2d65dd753da82dca83d5","first_computed_at":"2026-07-05T03:38:02.382199Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:38:02.382199Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KwoWa/5898HhxPwPWGk2S4w5EoqRiNeUsVAS9ZY3RuId5sxhE5k8Wo4h/OI7BO3Qf3HgpmISQxJz6I6GP+wcCw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:38:02.382669Z","signed_message":"canonical_sha256_bytes"},"source_id":"2112.03131","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0c68176591e0547e170a94a8d4978e56d0a3376824dafa4614964e229a05dcbe","sha256:5c3c893aa58b39db332a3f219a2fe577df295e0339855bd192f4bc27fdc2ddad"],"state_sha256":"f30be940743a46bb4dc2dd124232b818287cf7949dfde92fc74bb737969e41fb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2BGR2UXElS/m8JkDkGvBgXp+1jlVO0PVotllV4Pp/ZC2Lz1p/LVP3rMdug002dmrA/RMtZaAzOo+7Tp8iBXHDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T09:12:52.908916Z","bundle_sha256":"5144baa83f6ada902c703e006d788bd07fb823b4606a3a673b859fb55a8e85aa"}}