{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:OALAE26BXGWQPEKAYXP47XDGZT","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":"f2365a16a7fac5153047faf56359ccd6f2d943b3fe8f7e3b53e207c9131e3023","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-10-18T14:57:03Z","title_canon_sha256":"5546c6e0f6fd8e6c51db86fdb3d606fd8f891fa70337603201fc2c881094f98f"},"schema_version":"1.0","source":{"id":"1110.4011","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.4011","created_at":"2026-05-18T02:58:00Z"},{"alias_kind":"arxiv_version","alias_value":"1110.4011v1","created_at":"2026-05-18T02:58:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.4011","created_at":"2026-05-18T02:58:00Z"},{"alias_kind":"pith_short_12","alias_value":"OALAE26BXGWQ","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"OALAE26BXGWQPEKA","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"OALAE26B","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:ae60bb08b722b30ffe164bd32a377167645f6d3c19194c5de4d1d740e5d1ebe9","target":"graph","created_at":"2026-05-18T02:58:00Z","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":"Let S be a surface obtained from a plane polygon by identifying infinitely many pairs of segments along its boundary. A condition is given under which the complex structure in the interior of the polygon extends uniquely across the quotient of its boundary to make S into a closed Riemann surface. When this condition holds, a modulus of continuity is obtained for a uniformizing map on S.","authors_text":"Andr\\'e de Carvalho, Toby Hall","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-10-18T14:57:03Z","title":"Riemann surfaces out of paper"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.4011","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":"sha256:22cbfb4ac1745fc9b6c7536aaca748380602503f4946a23ddc6e48ab07661b77","target":"record","created_at":"2026-05-18T02:58:00Z","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":"f2365a16a7fac5153047faf56359ccd6f2d943b3fe8f7e3b53e207c9131e3023","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-10-18T14:57:03Z","title_canon_sha256":"5546c6e0f6fd8e6c51db86fdb3d606fd8f891fa70337603201fc2c881094f98f"},"schema_version":"1.0","source":{"id":"1110.4011","kind":"arxiv","version":1}},"canonical_sha256":"7016026bc1b9ad079140c5dfcfdc66ccc9308cc021d380660497a535a77ecb7f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7016026bc1b9ad079140c5dfcfdc66ccc9308cc021d380660497a535a77ecb7f","first_computed_at":"2026-05-18T02:58:00.328961Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:00.328961Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/P5MXZ/8P1asW9lcF1X9w8a2aBQ1BNUvLNA+mS2l5fjMGwSbDXxonxDmC6KyqVrD7bgBOffdpQYLrCnUD/JSCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:00.329671Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.4011","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:22cbfb4ac1745fc9b6c7536aaca748380602503f4946a23ddc6e48ab07661b77","sha256:ae60bb08b722b30ffe164bd32a377167645f6d3c19194c5de4d1d740e5d1ebe9"],"state_sha256":"45786614223ad25f634a74193b2bf05cef48f516ecb20d245d3923b300867cb7"}