{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:2QPA3A3IF4B6B4TSJ7SQ2TQPMM","short_pith_number":"pith:2QPA3A3I","canonical_record":{"source":{"id":"1806.04492","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-06-12T13:21:04Z","cross_cats_sorted":[],"title_canon_sha256":"8ee53ebccd7f90dd8fa532236ad49b40b507c1a414849ca17e01b25f5ee1e7fd","abstract_canon_sha256":"db86f5b7d4a7904a83d29868ac95eb22f3dea037d23ddc8065031dbe6a89de98"},"schema_version":"1.0"},"canonical_sha256":"d41e0d83682f03e0f2724fe50d4e0f630d1548d81e4b307176b84f91c895b9e5","source":{"kind":"arxiv","id":"1806.04492","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.04492","created_at":"2026-05-18T00:13:35Z"},{"alias_kind":"arxiv_version","alias_value":"1806.04492v1","created_at":"2026-05-18T00:13:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.04492","created_at":"2026-05-18T00:13:35Z"},{"alias_kind":"pith_short_12","alias_value":"2QPA3A3IF4B6","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"2QPA3A3IF4B6B4TS","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"2QPA3A3I","created_at":"2026-05-18T12:32:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:2QPA3A3IF4B6B4TSJ7SQ2TQPMM","target":"record","payload":{"canonical_record":{"source":{"id":"1806.04492","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-06-12T13:21:04Z","cross_cats_sorted":[],"title_canon_sha256":"8ee53ebccd7f90dd8fa532236ad49b40b507c1a414849ca17e01b25f5ee1e7fd","abstract_canon_sha256":"db86f5b7d4a7904a83d29868ac95eb22f3dea037d23ddc8065031dbe6a89de98"},"schema_version":"1.0"},"canonical_sha256":"d41e0d83682f03e0f2724fe50d4e0f630d1548d81e4b307176b84f91c895b9e5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:13:35.363168Z","signature_b64":"PWvrZ4F7lYXB+pcDncBjuTkeiHMRgysymS5nPm5SmFzIB0GVJ2CFdGJC7rpJFYXeZoi3LvmJhvi9VZVRa8doDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d41e0d83682f03e0f2724fe50d4e0f630d1548d81e4b307176b84f91c895b9e5","last_reissued_at":"2026-05-18T00:13:35.362442Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:13:35.362442Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1806.04492","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":"2026-05-18T00:13:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zL17kRiwdD5Btp8weo48hJF2t4xF7EY3txzYh9AZ+Vrn/MtgcfECxWfghB5nuClu12a33Ev4ZMavXK8Fh/2mCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T05:06:17.112076Z"},"content_sha256":"1651b3388d25116a2d77a83eb6ef714a896fc2bec6e984825065885f6ecd808c","schema_version":"1.0","event_id":"sha256:1651b3388d25116a2d77a83eb6ef714a896fc2bec6e984825065885f6ecd808c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:2QPA3A3IF4B6B4TSJ7SQ2TQPMM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Infinitely generated Fuchsian groups of some infinite genus surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Camilo Ram\\'irez Maluendas, John A. Arredondo","submitted_at":"2018-06-12T13:21:04Z","abstract_excerpt":"In this paper, for a non compact and orientable surface $S$ been either: the Infinite Loch Ness monster, the Cantor tree and the Blooming Cantor tree, we construct explicitly an infinitely generated Fuchsian group $\\Gamma<PSL(2,\\mathbb{R})$, such that the quotient $\\mathbb{H}/\\Gamma$ is a hyperbolic surface homeomorphic to $S$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.04492","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":""},"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":"2026-05-18T00:13:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ALUE79iSXr/DzLSwsScKy4B/EX+jR8uOaCXo5toTzQgybkCEKaZ3s1Os+DU4I/3VJalIe5KfUjT9c2O0LrVhCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T05:06:17.112436Z"},"content_sha256":"2240a04bdb0628df909d933d0c27a87b59512be2e3235a79abdc5c9b0eecda9d","schema_version":"1.0","event_id":"sha256:2240a04bdb0628df909d933d0c27a87b59512be2e3235a79abdc5c9b0eecda9d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2QPA3A3IF4B6B4TSJ7SQ2TQPMM/bundle.json","state_url":"https://pith.science/pith/2QPA3A3IF4B6B4TSJ7SQ2TQPMM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2QPA3A3IF4B6B4TSJ7SQ2TQPMM/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":"2026-06-23T05:06:17Z","links":{"resolver":"https://pith.science/pith/2QPA3A3IF4B6B4TSJ7SQ2TQPMM","bundle":"https://pith.science/pith/2QPA3A3IF4B6B4TSJ7SQ2TQPMM/bundle.json","state":"https://pith.science/pith/2QPA3A3IF4B6B4TSJ7SQ2TQPMM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2QPA3A3IF4B6B4TSJ7SQ2TQPMM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:2QPA3A3IF4B6B4TSJ7SQ2TQPMM","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":"db86f5b7d4a7904a83d29868ac95eb22f3dea037d23ddc8065031dbe6a89de98","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-06-12T13:21:04Z","title_canon_sha256":"8ee53ebccd7f90dd8fa532236ad49b40b507c1a414849ca17e01b25f5ee1e7fd"},"schema_version":"1.0","source":{"id":"1806.04492","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.04492","created_at":"2026-05-18T00:13:35Z"},{"alias_kind":"arxiv_version","alias_value":"1806.04492v1","created_at":"2026-05-18T00:13:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.04492","created_at":"2026-05-18T00:13:35Z"},{"alias_kind":"pith_short_12","alias_value":"2QPA3A3IF4B6","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"2QPA3A3IF4B6B4TS","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"2QPA3A3I","created_at":"2026-05-18T12:32:02Z"}],"graph_snapshots":[{"event_id":"sha256:2240a04bdb0628df909d933d0c27a87b59512be2e3235a79abdc5c9b0eecda9d","target":"graph","created_at":"2026-05-18T00:13:35Z","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":"In this paper, for a non compact and orientable surface $S$ been either: the Infinite Loch Ness monster, the Cantor tree and the Blooming Cantor tree, we construct explicitly an infinitely generated Fuchsian group $\\Gamma<PSL(2,\\mathbb{R})$, such that the quotient $\\mathbb{H}/\\Gamma$ is a hyperbolic surface homeomorphic to $S$.","authors_text":"Camilo Ram\\'irez Maluendas, John A. Arredondo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-06-12T13:21:04Z","title":"On Infinitely generated Fuchsian groups of some infinite genus surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.04492","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":"sha256:1651b3388d25116a2d77a83eb6ef714a896fc2bec6e984825065885f6ecd808c","target":"record","created_at":"2026-05-18T00:13:35Z","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":"db86f5b7d4a7904a83d29868ac95eb22f3dea037d23ddc8065031dbe6a89de98","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-06-12T13:21:04Z","title_canon_sha256":"8ee53ebccd7f90dd8fa532236ad49b40b507c1a414849ca17e01b25f5ee1e7fd"},"schema_version":"1.0","source":{"id":"1806.04492","kind":"arxiv","version":1}},"canonical_sha256":"d41e0d83682f03e0f2724fe50d4e0f630d1548d81e4b307176b84f91c895b9e5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d41e0d83682f03e0f2724fe50d4e0f630d1548d81e4b307176b84f91c895b9e5","first_computed_at":"2026-05-18T00:13:35.362442Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:13:35.362442Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PWvrZ4F7lYXB+pcDncBjuTkeiHMRgysymS5nPm5SmFzIB0GVJ2CFdGJC7rpJFYXeZoi3LvmJhvi9VZVRa8doDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:13:35.363168Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.04492","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1651b3388d25116a2d77a83eb6ef714a896fc2bec6e984825065885f6ecd808c","sha256:2240a04bdb0628df909d933d0c27a87b59512be2e3235a79abdc5c9b0eecda9d"],"state_sha256":"30aa13118565ebbdfd553328eee751229b59fdda4f16f74c70b91a72ce9ba913"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WJVvoXkSNfxpPUu2gIZmNg6nDIAZKNCkgjeyWczAj3Soi4bTog6goOwYy22vLugZFcRm7RLdUDj0A0TyR4ARAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T05:06:17.114340Z","bundle_sha256":"6ce2ceb125f2bf92e575e1d383eab8e2ec24117c96cb8b0592e10ec6720d3555"}}