{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:5KQAQO2CSGZBUYYIL4F2PF6CEE","short_pith_number":"pith:5KQAQO2C","canonical_record":{"source":{"id":"1902.06394","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2019-02-18T03:54:01Z","cross_cats_sorted":[],"title_canon_sha256":"8fd29f75c2b7bacc04803e3803d6b0e969811aa37575b625a9dd14913d48beeb","abstract_canon_sha256":"ef6651649c3dae1598f483997e3162a330117aba0c672f3f86b4a645d08b1160"},"schema_version":"1.0"},"canonical_sha256":"eaa0083b4291b21a63085f0ba797c22105c5f3211c3f627eb621db247f59d797","source":{"kind":"arxiv","id":"1902.06394","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.06394","created_at":"2026-05-17T23:53:45Z"},{"alias_kind":"arxiv_version","alias_value":"1902.06394v1","created_at":"2026-05-17T23:53:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.06394","created_at":"2026-05-17T23:53:45Z"},{"alias_kind":"pith_short_12","alias_value":"5KQAQO2CSGZB","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"5KQAQO2CSGZBUYYI","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"5KQAQO2C","created_at":"2026-05-18T12:33:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:5KQAQO2CSGZBUYYIL4F2PF6CEE","target":"record","payload":{"canonical_record":{"source":{"id":"1902.06394","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2019-02-18T03:54:01Z","cross_cats_sorted":[],"title_canon_sha256":"8fd29f75c2b7bacc04803e3803d6b0e969811aa37575b625a9dd14913d48beeb","abstract_canon_sha256":"ef6651649c3dae1598f483997e3162a330117aba0c672f3f86b4a645d08b1160"},"schema_version":"1.0"},"canonical_sha256":"eaa0083b4291b21a63085f0ba797c22105c5f3211c3f627eb621db247f59d797","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:45.651904Z","signature_b64":"T7bCBpBz/MmwkUsgbAr8PVn5yJdtf5Vs54ByXSsrfwi7qEAaOjOMOJBPY+H36imixyQm3WawRm7L9hefbYboBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eaa0083b4291b21a63085f0ba797c22105c5f3211c3f627eb621db247f59d797","last_reissued_at":"2026-05-17T23:53:45.651249Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:45.651249Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1902.06394","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":"2026-05-17T23:53:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QiVMDfAFSc8DuESwJNuMdhHoYAFOqCSX03l4+WFcXY4WQ9f0pdcRZhJumAsc/oWRAKonkEodLb5aTccKSG7DBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T12:06:42.910349Z"},"content_sha256":"8279230f9a3f46c1a477986295ecee68fd043446de2251b000134c450c545a30","schema_version":"1.0","event_id":"sha256:8279230f9a3f46c1a477986295ecee68fd043446de2251b000134c450c545a30"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:5KQAQO2CSGZBUYYIL4F2PF6CEE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A sufficient condition for a locally compact almost simple group to have open monolith","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Colin D. Reid","submitted_at":"2019-02-18T03:54:01Z","abstract_excerpt":"We obtain a sufficient condition, given a totally disconnected, locally compact group $G$ with a topologically simple monolith $S$, to ensure that $S$ is open in $G$ and abstractly simple."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.06394","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":"2026-05-17T23:53:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"md3fSMds29wrYmXOzV/V4+UzDcydwf3ZOlzKRRxiIj08qOmWSgbekavSH2NaQQbPssG8rpkgPeGDLD5BaZ4iAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T12:06:42.910918Z"},"content_sha256":"df8e2e742d3b0ef4f5949767b85d90ff78c6075d061532cc1c8ad7f2cad2e573","schema_version":"1.0","event_id":"sha256:df8e2e742d3b0ef4f5949767b85d90ff78c6075d061532cc1c8ad7f2cad2e573"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5KQAQO2CSGZBUYYIL4F2PF6CEE/bundle.json","state_url":"https://pith.science/pith/5KQAQO2CSGZBUYYIL4F2PF6CEE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5KQAQO2CSGZBUYYIL4F2PF6CEE/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":"2026-06-24T12:06:42Z","links":{"resolver":"https://pith.science/pith/5KQAQO2CSGZBUYYIL4F2PF6CEE","bundle":"https://pith.science/pith/5KQAQO2CSGZBUYYIL4F2PF6CEE/bundle.json","state":"https://pith.science/pith/5KQAQO2CSGZBUYYIL4F2PF6CEE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5KQAQO2CSGZBUYYIL4F2PF6CEE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:5KQAQO2CSGZBUYYIL4F2PF6CEE","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":"ef6651649c3dae1598f483997e3162a330117aba0c672f3f86b4a645d08b1160","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2019-02-18T03:54:01Z","title_canon_sha256":"8fd29f75c2b7bacc04803e3803d6b0e969811aa37575b625a9dd14913d48beeb"},"schema_version":"1.0","source":{"id":"1902.06394","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.06394","created_at":"2026-05-17T23:53:45Z"},{"alias_kind":"arxiv_version","alias_value":"1902.06394v1","created_at":"2026-05-17T23:53:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.06394","created_at":"2026-05-17T23:53:45Z"},{"alias_kind":"pith_short_12","alias_value":"5KQAQO2CSGZB","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"5KQAQO2CSGZBUYYI","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"5KQAQO2C","created_at":"2026-05-18T12:33:10Z"}],"graph_snapshots":[{"event_id":"sha256:df8e2e742d3b0ef4f5949767b85d90ff78c6075d061532cc1c8ad7f2cad2e573","target":"graph","created_at":"2026-05-17T23:53:45Z","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 obtain a sufficient condition, given a totally disconnected, locally compact group $G$ with a topologically simple monolith $S$, to ensure that $S$ is open in $G$ and abstractly simple.","authors_text":"Colin D. Reid","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2019-02-18T03:54:01Z","title":"A sufficient condition for a locally compact almost simple group to have open monolith"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.06394","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":"sha256:8279230f9a3f46c1a477986295ecee68fd043446de2251b000134c450c545a30","target":"record","created_at":"2026-05-17T23:53:45Z","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":"ef6651649c3dae1598f483997e3162a330117aba0c672f3f86b4a645d08b1160","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2019-02-18T03:54:01Z","title_canon_sha256":"8fd29f75c2b7bacc04803e3803d6b0e969811aa37575b625a9dd14913d48beeb"},"schema_version":"1.0","source":{"id":"1902.06394","kind":"arxiv","version":1}},"canonical_sha256":"eaa0083b4291b21a63085f0ba797c22105c5f3211c3f627eb621db247f59d797","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eaa0083b4291b21a63085f0ba797c22105c5f3211c3f627eb621db247f59d797","first_computed_at":"2026-05-17T23:53:45.651249Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:45.651249Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T7bCBpBz/MmwkUsgbAr8PVn5yJdtf5Vs54ByXSsrfwi7qEAaOjOMOJBPY+H36imixyQm3WawRm7L9hefbYboBQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:45.651904Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.06394","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8279230f9a3f46c1a477986295ecee68fd043446de2251b000134c450c545a30","sha256:df8e2e742d3b0ef4f5949767b85d90ff78c6075d061532cc1c8ad7f2cad2e573"],"state_sha256":"8ca82942ade560d420f98d7ac4ef93097bb9fc94fc061ca7b90a34731814fc38"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dui+S5uGSsmk8sgMmJ7NJpwy8rVJeq8OH2l8BE22j/1xrjKyQfRyFhaOVLXKm3ZQXzV97XQ+lM/mu7VR21GhCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T12:06:42.913550Z","bundle_sha256":"89ebe94521e6f131b4694df502f95d508cd0cfb683f154ffcd8f939d002af9a1"}}