{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:MA67BSGR2PXOJCNLIIFZG2TZ6U","short_pith_number":"pith:MA67BSGR","canonical_record":{"source":{"id":"1602.02273","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-02-06T16:30:06Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"7807ed1586a20187c1b3fdebdbc468ff6a08a7d493ab11f42db49881c517ce5b","abstract_canon_sha256":"0fa27bdf9ad28b10ff383f617351ec45229391d9be03c7857b99c20609d1c8d4"},"schema_version":"1.0"},"canonical_sha256":"603df0c8d1d3eee489ab420b936a79f5129289be49f0b522d6e7b07e162d7c2a","source":{"kind":"arxiv","id":"1602.02273","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.02273","created_at":"2026-05-17T23:59:33Z"},{"alias_kind":"arxiv_version","alias_value":"1602.02273v4","created_at":"2026-05-17T23:59:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.02273","created_at":"2026-05-17T23:59:33Z"},{"alias_kind":"pith_short_12","alias_value":"MA67BSGR2PXO","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MA67BSGR2PXOJCNL","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MA67BSGR","created_at":"2026-05-18T12:30:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:MA67BSGR2PXOJCNLIIFZG2TZ6U","target":"record","payload":{"canonical_record":{"source":{"id":"1602.02273","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-02-06T16:30:06Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"7807ed1586a20187c1b3fdebdbc468ff6a08a7d493ab11f42db49881c517ce5b","abstract_canon_sha256":"0fa27bdf9ad28b10ff383f617351ec45229391d9be03c7857b99c20609d1c8d4"},"schema_version":"1.0"},"canonical_sha256":"603df0c8d1d3eee489ab420b936a79f5129289be49f0b522d6e7b07e162d7c2a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:33.488975Z","signature_b64":"xycGSVhEP3M+vrgALIt63n0iMud5C+l/wjJDORQ6PzYmP1qzZw7RYWx3TurQjWGjbg55feMudB2fi8nEFBBZDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"603df0c8d1d3eee489ab420b936a79f5129289be49f0b522d6e7b07e162d7c2a","last_reissued_at":"2026-05-17T23:59:33.488270Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:33.488270Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1602.02273","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:59:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RtIVx+XQfYfgjv45ZikbfgDzh53uHc0h8KpLh7ILCcWRPRhQ4t+CY0b1kDIyYckPf6HsmdBh0l+iyjhLEB1QBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T14:28:56.650109Z"},"content_sha256":"4f4928f957e032aa69700465bcf99ecce2f85cf87dc544ac673fe3b4652706f0","schema_version":"1.0","event_id":"sha256:4f4928f957e032aa69700465bcf99ecce2f85cf87dc544ac673fe3b4652706f0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:MA67BSGR2PXOJCNLIIFZG2TZ6U","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Riemann-Hilbert mapping for $\\mathfrak{sl}_2$ -systems over genus two curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.CV","authors_text":"Bertrand Deroin, Frank Loray, Gabriel Calsamiglia, Viktoria Heu","submitted_at":"2016-02-06T16:30:06Z","abstract_excerpt":"We prove in two different ways that the monodromy map from the space of irreducible $\\mathfrak{sl}_2$-differential-systems on genus two Riemann surfaces, towards the character variety of $\\mathrm{SL}_2$-representations of the fundamental group, is a local diffeomorphism. This is motivated by a question raised by \\'Etienne Ghys about Margulis' problem: existence of curves of negative Euler characteristic in compact quotients of $\\mathrm{SL}_2(\\mathbb{C})$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.02273","kind":"arxiv","version":4},"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":"2026-05-17T23:59:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yUIqDeGShJimUR64xBBBd+CiHZyLh31KpGAgAgdLK2fB6b6PGgnHASTduSG+LuaesvUnIM1cBt3wfeDtC1GpAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T14:28:56.650481Z"},"content_sha256":"4cc60af265e1a4eebea9abfd1a2f2c0d2dea2198c382a0d240460c80705cbc88","schema_version":"1.0","event_id":"sha256:4cc60af265e1a4eebea9abfd1a2f2c0d2dea2198c382a0d240460c80705cbc88"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MA67BSGR2PXOJCNLIIFZG2TZ6U/bundle.json","state_url":"https://pith.science/pith/MA67BSGR2PXOJCNLIIFZG2TZ6U/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MA67BSGR2PXOJCNLIIFZG2TZ6U/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":"2026-06-02T14:28:56Z","links":{"resolver":"https://pith.science/pith/MA67BSGR2PXOJCNLIIFZG2TZ6U","bundle":"https://pith.science/pith/MA67BSGR2PXOJCNLIIFZG2TZ6U/bundle.json","state":"https://pith.science/pith/MA67BSGR2PXOJCNLIIFZG2TZ6U/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MA67BSGR2PXOJCNLIIFZG2TZ6U/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:MA67BSGR2PXOJCNLIIFZG2TZ6U","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":"0fa27bdf9ad28b10ff383f617351ec45229391d9be03c7857b99c20609d1c8d4","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-02-06T16:30:06Z","title_canon_sha256":"7807ed1586a20187c1b3fdebdbc468ff6a08a7d493ab11f42db49881c517ce5b"},"schema_version":"1.0","source":{"id":"1602.02273","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.02273","created_at":"2026-05-17T23:59:33Z"},{"alias_kind":"arxiv_version","alias_value":"1602.02273v4","created_at":"2026-05-17T23:59:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.02273","created_at":"2026-05-17T23:59:33Z"},{"alias_kind":"pith_short_12","alias_value":"MA67BSGR2PXO","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MA67BSGR2PXOJCNL","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MA67BSGR","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:4cc60af265e1a4eebea9abfd1a2f2c0d2dea2198c382a0d240460c80705cbc88","target":"graph","created_at":"2026-05-17T23:59:33Z","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 in two different ways that the monodromy map from the space of irreducible $\\mathfrak{sl}_2$-differential-systems on genus two Riemann surfaces, towards the character variety of $\\mathrm{SL}_2$-representations of the fundamental group, is a local diffeomorphism. This is motivated by a question raised by \\'Etienne Ghys about Margulis' problem: existence of curves of negative Euler characteristic in compact quotients of $\\mathrm{SL}_2(\\mathbb{C})$.","authors_text":"Bertrand Deroin, Frank Loray, Gabriel Calsamiglia, Viktoria Heu","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-02-06T16:30:06Z","title":"The Riemann-Hilbert mapping for $\\mathfrak{sl}_2$ -systems over genus two curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.02273","kind":"arxiv","version":4},"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":"sha256:4f4928f957e032aa69700465bcf99ecce2f85cf87dc544ac673fe3b4652706f0","target":"record","created_at":"2026-05-17T23:59:33Z","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":"0fa27bdf9ad28b10ff383f617351ec45229391d9be03c7857b99c20609d1c8d4","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-02-06T16:30:06Z","title_canon_sha256":"7807ed1586a20187c1b3fdebdbc468ff6a08a7d493ab11f42db49881c517ce5b"},"schema_version":"1.0","source":{"id":"1602.02273","kind":"arxiv","version":4}},"canonical_sha256":"603df0c8d1d3eee489ab420b936a79f5129289be49f0b522d6e7b07e162d7c2a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"603df0c8d1d3eee489ab420b936a79f5129289be49f0b522d6e7b07e162d7c2a","first_computed_at":"2026-05-17T23:59:33.488270Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:33.488270Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xycGSVhEP3M+vrgALIt63n0iMud5C+l/wjJDORQ6PzYmP1qzZw7RYWx3TurQjWGjbg55feMudB2fi8nEFBBZDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:33.488975Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.02273","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4f4928f957e032aa69700465bcf99ecce2f85cf87dc544ac673fe3b4652706f0","sha256:4cc60af265e1a4eebea9abfd1a2f2c0d2dea2198c382a0d240460c80705cbc88"],"state_sha256":"32fc4a8742f953e23749944bc942b30ca07e199b19f6e383db14ef2078674aa4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mn7NLkBlnQf1L1CjQYu7W4tCGRWqx6ouC7TDKLOe1jpL8B9U07y+fXDmXCAX0lwoy05XWiCpt6ptsqtfEs9XBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T14:28:56.652468Z","bundle_sha256":"12b77d94bb03e3370d5d0e9bcfbd64a26c3076872081574c492b21a9249c8d53"}}