{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:WRCUWIUX5PMNL5XNI7LF2FCOXH","short_pith_number":"pith:WRCUWIUX","canonical_record":{"source":{"id":"1711.01397","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-11-04T05:54:10Z","cross_cats_sorted":[],"title_canon_sha256":"b2fb6ae8020491689cce85ccc6605f24908bae232e2bbfb6d2f3acf0b8f5fe4e","abstract_canon_sha256":"79eacec362f55fe778dea609f0ee63accbf1068320d75de94403ff25827b6d60"},"schema_version":"1.0"},"canonical_sha256":"b4454b2297ebd8d5f6ed47d65d144eb9e09adcf5977b48b9f62a534e3ccc8a66","source":{"kind":"arxiv","id":"1711.01397","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.01397","created_at":"2026-05-18T00:31:17Z"},{"alias_kind":"arxiv_version","alias_value":"1711.01397v1","created_at":"2026-05-18T00:31:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.01397","created_at":"2026-05-18T00:31:17Z"},{"alias_kind":"pith_short_12","alias_value":"WRCUWIUX5PMN","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WRCUWIUX5PMNL5XN","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WRCUWIUX","created_at":"2026-05-18T12:31:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:WRCUWIUX5PMNL5XNI7LF2FCOXH","target":"record","payload":{"canonical_record":{"source":{"id":"1711.01397","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-11-04T05:54:10Z","cross_cats_sorted":[],"title_canon_sha256":"b2fb6ae8020491689cce85ccc6605f24908bae232e2bbfb6d2f3acf0b8f5fe4e","abstract_canon_sha256":"79eacec362f55fe778dea609f0ee63accbf1068320d75de94403ff25827b6d60"},"schema_version":"1.0"},"canonical_sha256":"b4454b2297ebd8d5f6ed47d65d144eb9e09adcf5977b48b9f62a534e3ccc8a66","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:31:17.978722Z","signature_b64":"YXivZOSTHAUn851Vi7QfjMkUH7s0HvlaKfFJulgtdDTjuMT9Ezr936bG9efN95y9eLssHo+hj9tPHQ+MenTgCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b4454b2297ebd8d5f6ed47d65d144eb9e09adcf5977b48b9f62a534e3ccc8a66","last_reissued_at":"2026-05-18T00:31:17.978047Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:31:17.978047Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1711.01397","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":"2026-05-18T00:31:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cUgL//YQiOkKon5UfqmtUh+JguWqyrq8aGASKZwvZOEZHbQfg8RWhbXRYYui8MbHrG5KBK6pdq3r9PGcMt+RAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T06:04:30.118066Z"},"content_sha256":"3dba267dbb2adda7b30d084beb9c1c39873e19b24ca5ac6370411a12a562e4b9","schema_version":"1.0","event_id":"sha256:3dba267dbb2adda7b30d084beb9c1c39873e19b24ca5ac6370411a12a562e4b9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:WRCUWIUX5PMNL5XNI7LF2FCOXH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Projective Linear Monoids and Hinges","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Mutsumi Saito","submitted_at":"2017-11-04T05:54:10Z","abstract_excerpt":"Let V be a complex vector space. We propose a compactification PM(V) of the projective linear group PGL(V), which can act on the projective space P(V). After proving some properties of PM(V), we consider its relation to Neretin's compactification Hinge*(V)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.01397","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":"2026-05-18T00:31:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0gBS9pCDCjg+io6cxxS/tB78y9DfZUZYwmS5RpL/P962elPVNXvortfQ9MKnN5SKPiYgf6Hgf/PRV787i6IdCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T06:04:30.118865Z"},"content_sha256":"db4e922aa97de0f5a96b46d6e2bc4d31bb5455c1af05308282fe267e875659a8","schema_version":"1.0","event_id":"sha256:db4e922aa97de0f5a96b46d6e2bc4d31bb5455c1af05308282fe267e875659a8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WRCUWIUX5PMNL5XNI7LF2FCOXH/bundle.json","state_url":"https://pith.science/pith/WRCUWIUX5PMNL5XNI7LF2FCOXH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WRCUWIUX5PMNL5XNI7LF2FCOXH/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":"2026-06-11T06:04:30Z","links":{"resolver":"https://pith.science/pith/WRCUWIUX5PMNL5XNI7LF2FCOXH","bundle":"https://pith.science/pith/WRCUWIUX5PMNL5XNI7LF2FCOXH/bundle.json","state":"https://pith.science/pith/WRCUWIUX5PMNL5XNI7LF2FCOXH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WRCUWIUX5PMNL5XNI7LF2FCOXH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:WRCUWIUX5PMNL5XNI7LF2FCOXH","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":"79eacec362f55fe778dea609f0ee63accbf1068320d75de94403ff25827b6d60","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-11-04T05:54:10Z","title_canon_sha256":"b2fb6ae8020491689cce85ccc6605f24908bae232e2bbfb6d2f3acf0b8f5fe4e"},"schema_version":"1.0","source":{"id":"1711.01397","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.01397","created_at":"2026-05-18T00:31:17Z"},{"alias_kind":"arxiv_version","alias_value":"1711.01397v1","created_at":"2026-05-18T00:31:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.01397","created_at":"2026-05-18T00:31:17Z"},{"alias_kind":"pith_short_12","alias_value":"WRCUWIUX5PMN","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WRCUWIUX5PMNL5XN","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WRCUWIUX","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:db4e922aa97de0f5a96b46d6e2bc4d31bb5455c1af05308282fe267e875659a8","target":"graph","created_at":"2026-05-18T00:31:17Z","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 V be a complex vector space. We propose a compactification PM(V) of the projective linear group PGL(V), which can act on the projective space P(V). After proving some properties of PM(V), we consider its relation to Neretin's compactification Hinge*(V).","authors_text":"Mutsumi Saito","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-11-04T05:54:10Z","title":"Projective Linear Monoids and Hinges"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.01397","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":"sha256:3dba267dbb2adda7b30d084beb9c1c39873e19b24ca5ac6370411a12a562e4b9","target":"record","created_at":"2026-05-18T00:31:17Z","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":"79eacec362f55fe778dea609f0ee63accbf1068320d75de94403ff25827b6d60","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-11-04T05:54:10Z","title_canon_sha256":"b2fb6ae8020491689cce85ccc6605f24908bae232e2bbfb6d2f3acf0b8f5fe4e"},"schema_version":"1.0","source":{"id":"1711.01397","kind":"arxiv","version":1}},"canonical_sha256":"b4454b2297ebd8d5f6ed47d65d144eb9e09adcf5977b48b9f62a534e3ccc8a66","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b4454b2297ebd8d5f6ed47d65d144eb9e09adcf5977b48b9f62a534e3ccc8a66","first_computed_at":"2026-05-18T00:31:17.978047Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:31:17.978047Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YXivZOSTHAUn851Vi7QfjMkUH7s0HvlaKfFJulgtdDTjuMT9Ezr936bG9efN95y9eLssHo+hj9tPHQ+MenTgCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:31:17.978722Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.01397","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3dba267dbb2adda7b30d084beb9c1c39873e19b24ca5ac6370411a12a562e4b9","sha256:db4e922aa97de0f5a96b46d6e2bc4d31bb5455c1af05308282fe267e875659a8"],"state_sha256":"c2eaa77bc1a13934f1af34f190761e07221e058d962b633d42b1f222440aa687"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Vf5r3Owt9YVDm67JTwqzNkYuoo9/W5/sfXazEA5mFWb6/X2I2QVPxiDYa3bdqtc8KCR6dGAsx6Zd3i/V3OPdDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T06:04:30.123490Z","bundle_sha256":"101028bbf9d0f79388ad5904e7a880477b403340a8f9e34e3b9a9c01d26ee8a0"}}