{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:QWROXTY3NT4JE6UAOT7SVLKGXB","short_pith_number":"pith:QWROXTY3","canonical_record":{"source":{"id":"1202.1365","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-02-07T08:02:05Z","cross_cats_sorted":[],"title_canon_sha256":"3b2d8f52cea75973f3784355616dee4879015d7f5c4327c07baf267589c37fd2","abstract_canon_sha256":"39d4c6f53715bd2afc2e8175e04cf6dd1f538ba239aacc1e002442d35de218fd"},"schema_version":"1.0"},"canonical_sha256":"85a2ebcf1b6cf8927a8074ff2aad46b86021c318f9a78a4d5cf79a4e3f1ee335","source":{"kind":"arxiv","id":"1202.1365","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.1365","created_at":"2026-05-18T03:29:27Z"},{"alias_kind":"arxiv_version","alias_value":"1202.1365v2","created_at":"2026-05-18T03:29:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.1365","created_at":"2026-05-18T03:29:27Z"},{"alias_kind":"pith_short_12","alias_value":"QWROXTY3NT4J","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"QWROXTY3NT4JE6UA","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"QWROXTY3","created_at":"2026-05-18T12:27:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:QWROXTY3NT4JE6UAOT7SVLKGXB","target":"record","payload":{"canonical_record":{"source":{"id":"1202.1365","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-02-07T08:02:05Z","cross_cats_sorted":[],"title_canon_sha256":"3b2d8f52cea75973f3784355616dee4879015d7f5c4327c07baf267589c37fd2","abstract_canon_sha256":"39d4c6f53715bd2afc2e8175e04cf6dd1f538ba239aacc1e002442d35de218fd"},"schema_version":"1.0"},"canonical_sha256":"85a2ebcf1b6cf8927a8074ff2aad46b86021c318f9a78a4d5cf79a4e3f1ee335","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:29:27.752343Z","signature_b64":"4OInpesublTpyr46+/1VZlDc2DH5T5CvumCbY3WRJ0z5wry7xwdXQekjADL8/KHS8J7ifBviIB0orelCr129Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"85a2ebcf1b6cf8927a8074ff2aad46b86021c318f9a78a4d5cf79a4e3f1ee335","last_reissued_at":"2026-05-18T03:29:27.751732Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:29:27.751732Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1202.1365","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":"2026-05-18T03:29:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k2zEAQGnKZlelRKgWQA/JZauUPHw/7zV6VIfSgFjQwtZBMNNybm4L0gY2CF6qUm3f+7DIwLl3lG4v9fDBU2tBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T16:12:38.774061Z"},"content_sha256":"ee2e6a212048868cc9e41d5ffd3c6ba9be3328d41e8d810b74172a3b8780c32f","schema_version":"1.0","event_id":"sha256:ee2e6a212048868cc9e41d5ffd3c6ba9be3328d41e8d810b74172a3b8780c32f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:QWROXTY3NT4JE6UAOT7SVLKGXB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Space of Geometric Limits of One-generator Closed Subgroups of PSL2(R)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Hyungryul Baik, Lucien Clavier","submitted_at":"2012-02-07T08:02:05Z","abstract_excerpt":"We give a complete description of the closure of the space of one-generator closed subgroups of PSL2(R) for the Chabauty topology, by computing explicitly the matrices associated with elements of Aut(D) = PSL2(R), and finding quantities parametrizing the limit cases. Along the way, we investigate under what conditions sequences of maps transform convergent sequences of closed subsets of the domain into convergent sequences of closed subsets of the range. In particular, this allows us to compute certain geometric limits of PSL2(R) only by looking at the Hausdorff limit of some closed subsets of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.1365","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":"2026-05-18T03:29:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"THF14lc4hxWsY2hxHbrnPutgAuemJVovP+2RWtzCaq+RwbQyq89nGao0FXiNfscyh/629SOWyfTC30DebGzuBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T16:12:38.774429Z"},"content_sha256":"51c1887b80cbdc12931b7014d38136fe765eae67b0f493b7bcdd2a356fecb205","schema_version":"1.0","event_id":"sha256:51c1887b80cbdc12931b7014d38136fe765eae67b0f493b7bcdd2a356fecb205"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QWROXTY3NT4JE6UAOT7SVLKGXB/bundle.json","state_url":"https://pith.science/pith/QWROXTY3NT4JE6UAOT7SVLKGXB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QWROXTY3NT4JE6UAOT7SVLKGXB/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":"2026-06-24T16:12:38Z","links":{"resolver":"https://pith.science/pith/QWROXTY3NT4JE6UAOT7SVLKGXB","bundle":"https://pith.science/pith/QWROXTY3NT4JE6UAOT7SVLKGXB/bundle.json","state":"https://pith.science/pith/QWROXTY3NT4JE6UAOT7SVLKGXB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QWROXTY3NT4JE6UAOT7SVLKGXB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:QWROXTY3NT4JE6UAOT7SVLKGXB","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":"39d4c6f53715bd2afc2e8175e04cf6dd1f538ba239aacc1e002442d35de218fd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-02-07T08:02:05Z","title_canon_sha256":"3b2d8f52cea75973f3784355616dee4879015d7f5c4327c07baf267589c37fd2"},"schema_version":"1.0","source":{"id":"1202.1365","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.1365","created_at":"2026-05-18T03:29:27Z"},{"alias_kind":"arxiv_version","alias_value":"1202.1365v2","created_at":"2026-05-18T03:29:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.1365","created_at":"2026-05-18T03:29:27Z"},{"alias_kind":"pith_short_12","alias_value":"QWROXTY3NT4J","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"QWROXTY3NT4JE6UA","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"QWROXTY3","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:51c1887b80cbdc12931b7014d38136fe765eae67b0f493b7bcdd2a356fecb205","target":"graph","created_at":"2026-05-18T03:29:27Z","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 give a complete description of the closure of the space of one-generator closed subgroups of PSL2(R) for the Chabauty topology, by computing explicitly the matrices associated with elements of Aut(D) = PSL2(R), and finding quantities parametrizing the limit cases. Along the way, we investigate under what conditions sequences of maps transform convergent sequences of closed subsets of the domain into convergent sequences of closed subsets of the range. In particular, this allows us to compute certain geometric limits of PSL2(R) only by looking at the Hausdorff limit of some closed subsets of","authors_text":"Hyungryul Baik, Lucien Clavier","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-02-07T08:02:05Z","title":"The Space of Geometric Limits of One-generator Closed Subgroups of PSL2(R)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.1365","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:ee2e6a212048868cc9e41d5ffd3c6ba9be3328d41e8d810b74172a3b8780c32f","target":"record","created_at":"2026-05-18T03:29:27Z","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":"39d4c6f53715bd2afc2e8175e04cf6dd1f538ba239aacc1e002442d35de218fd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-02-07T08:02:05Z","title_canon_sha256":"3b2d8f52cea75973f3784355616dee4879015d7f5c4327c07baf267589c37fd2"},"schema_version":"1.0","source":{"id":"1202.1365","kind":"arxiv","version":2}},"canonical_sha256":"85a2ebcf1b6cf8927a8074ff2aad46b86021c318f9a78a4d5cf79a4e3f1ee335","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"85a2ebcf1b6cf8927a8074ff2aad46b86021c318f9a78a4d5cf79a4e3f1ee335","first_computed_at":"2026-05-18T03:29:27.751732Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:29:27.751732Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4OInpesublTpyr46+/1VZlDc2DH5T5CvumCbY3WRJ0z5wry7xwdXQekjADL8/KHS8J7ifBviIB0orelCr129Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:29:27.752343Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.1365","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee2e6a212048868cc9e41d5ffd3c6ba9be3328d41e8d810b74172a3b8780c32f","sha256:51c1887b80cbdc12931b7014d38136fe765eae67b0f493b7bcdd2a356fecb205"],"state_sha256":"28d32a1633f02fd440406d40ebc888170cf9e7cca00fb3f558c811b9fba76e1a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2xkvyyar2XFB/IAoUL0KPpwYXZf5WR9PVkDqu7VpZqFQcyvaCvQFcYno1RQ40Fbj0b9kdh3xSLMpWFx/nhgGCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T16:12:38.776355Z","bundle_sha256":"d06cf8853609bfd25c96e6974f32c968ae86e1d23839a1d4217cb0e779234e8d"}}