{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:U4J7N7B2X6VS5C3LA7TZU3JZZT","short_pith_number":"pith:U4J7N7B2","canonical_record":{"source":{"id":"1012.4489","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2010-12-20T21:59:48Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"74a3238b2907c10a0c5545fe1b09d09da30278b9744e15a409f02894dd679f08","abstract_canon_sha256":"afd79a973c1113f5ac322c3b319c2e97eb5b61cda5c0f6865c17d68d11bb2604"},"schema_version":"1.0"},"canonical_sha256":"a713f6fc3abfab2e8b6b07e79a6d39ccc5e1f55a8e9df50917f2599ae6341f96","source":{"kind":"arxiv","id":"1012.4489","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.4489","created_at":"2026-05-18T04:32:54Z"},{"alias_kind":"arxiv_version","alias_value":"1012.4489v1","created_at":"2026-05-18T04:32:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.4489","created_at":"2026-05-18T04:32:54Z"},{"alias_kind":"pith_short_12","alias_value":"U4J7N7B2X6VS","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"U4J7N7B2X6VS5C3L","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"U4J7N7B2","created_at":"2026-05-18T12:26:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:U4J7N7B2X6VS5C3LA7TZU3JZZT","target":"record","payload":{"canonical_record":{"source":{"id":"1012.4489","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2010-12-20T21:59:48Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"74a3238b2907c10a0c5545fe1b09d09da30278b9744e15a409f02894dd679f08","abstract_canon_sha256":"afd79a973c1113f5ac322c3b319c2e97eb5b61cda5c0f6865c17d68d11bb2604"},"schema_version":"1.0"},"canonical_sha256":"a713f6fc3abfab2e8b6b07e79a6d39ccc5e1f55a8e9df50917f2599ae6341f96","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:32:54.211455Z","signature_b64":"ouTuj5/1aiEJ31syi7AAz2maVzFJxxvAEQOPLqW/SF6ndBHkt87okjdpFtk5ZtBbnJbW1rVBuF4uARQT2SPQDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a713f6fc3abfab2e8b6b07e79a6d39ccc5e1f55a8e9df50917f2599ae6341f96","last_reissued_at":"2026-05-18T04:32:54.211072Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:32:54.211072Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1012.4489","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":"2026-05-18T04:32:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w+p5PVLNjZeR2h6BC4wMAUK+Mnp7d0jpCYuQr4Tlxlg8bVREwOnraRw+DhrpMgRS00Xxsss/vBX3I3MeTvFyAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T11:38:39.650808Z"},"content_sha256":"afb90e874d392fbb115d760aa13fc18e0df0815c55fa3597fdee2b3838590e87","schema_version":"1.0","event_id":"sha256:afb90e874d392fbb115d760aa13fc18e0df0815c55fa3597fdee2b3838590e87"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:U4J7N7B2X6VS5C3LA7TZU3JZZT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Torsion units in integral group rings of Conway simple groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.RA","authors_text":"A. Konovalov, S. Linton, V. Bovdi","submitted_at":"2010-12-20T21:59:48Z","abstract_excerpt":"Using the Luthar--Passi method, we investigate the possible orders and partial augmentations of torsion units of the normalized unit group of integral group rings of Conway simple groups $Co_1$, $Co_2$ and $Co_3$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.4489","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":"2026-05-18T04:32:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DLAJYMDwMDAd0rIGo+5IVX2ROf8obSEd2qz9D2iYxqaZmOit5TLCMIMzRXM/uG6E6t3+l32bBOuCpODIlH4OCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T11:38:39.651141Z"},"content_sha256":"2e910f1a6a9903246094005bc4f4fcdf19c7108add7e9a144500fdcdb3c33d70","schema_version":"1.0","event_id":"sha256:2e910f1a6a9903246094005bc4f4fcdf19c7108add7e9a144500fdcdb3c33d70"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U4J7N7B2X6VS5C3LA7TZU3JZZT/bundle.json","state_url":"https://pith.science/pith/U4J7N7B2X6VS5C3LA7TZU3JZZT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U4J7N7B2X6VS5C3LA7TZU3JZZT/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":"2026-06-07T11:38:39Z","links":{"resolver":"https://pith.science/pith/U4J7N7B2X6VS5C3LA7TZU3JZZT","bundle":"https://pith.science/pith/U4J7N7B2X6VS5C3LA7TZU3JZZT/bundle.json","state":"https://pith.science/pith/U4J7N7B2X6VS5C3LA7TZU3JZZT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U4J7N7B2X6VS5C3LA7TZU3JZZT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:U4J7N7B2X6VS5C3LA7TZU3JZZT","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":"afd79a973c1113f5ac322c3b319c2e97eb5b61cda5c0f6865c17d68d11bb2604","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2010-12-20T21:59:48Z","title_canon_sha256":"74a3238b2907c10a0c5545fe1b09d09da30278b9744e15a409f02894dd679f08"},"schema_version":"1.0","source":{"id":"1012.4489","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.4489","created_at":"2026-05-18T04:32:54Z"},{"alias_kind":"arxiv_version","alias_value":"1012.4489v1","created_at":"2026-05-18T04:32:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.4489","created_at":"2026-05-18T04:32:54Z"},{"alias_kind":"pith_short_12","alias_value":"U4J7N7B2X6VS","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"U4J7N7B2X6VS5C3L","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"U4J7N7B2","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:2e910f1a6a9903246094005bc4f4fcdf19c7108add7e9a144500fdcdb3c33d70","target":"graph","created_at":"2026-05-18T04:32:54Z","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":"Using the Luthar--Passi method, we investigate the possible orders and partial augmentations of torsion units of the normalized unit group of integral group rings of Conway simple groups $Co_1$, $Co_2$ and $Co_3$.","authors_text":"A. Konovalov, S. Linton, V. Bovdi","cross_cats":["math.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2010-12-20T21:59:48Z","title":"Torsion units in integral group rings of Conway simple groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.4489","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:afb90e874d392fbb115d760aa13fc18e0df0815c55fa3597fdee2b3838590e87","target":"record","created_at":"2026-05-18T04:32:54Z","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":"afd79a973c1113f5ac322c3b319c2e97eb5b61cda5c0f6865c17d68d11bb2604","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2010-12-20T21:59:48Z","title_canon_sha256":"74a3238b2907c10a0c5545fe1b09d09da30278b9744e15a409f02894dd679f08"},"schema_version":"1.0","source":{"id":"1012.4489","kind":"arxiv","version":1}},"canonical_sha256":"a713f6fc3abfab2e8b6b07e79a6d39ccc5e1f55a8e9df50917f2599ae6341f96","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a713f6fc3abfab2e8b6b07e79a6d39ccc5e1f55a8e9df50917f2599ae6341f96","first_computed_at":"2026-05-18T04:32:54.211072Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:32:54.211072Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ouTuj5/1aiEJ31syi7AAz2maVzFJxxvAEQOPLqW/SF6ndBHkt87okjdpFtk5ZtBbnJbW1rVBuF4uARQT2SPQDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:32:54.211455Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.4489","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:afb90e874d392fbb115d760aa13fc18e0df0815c55fa3597fdee2b3838590e87","sha256:2e910f1a6a9903246094005bc4f4fcdf19c7108add7e9a144500fdcdb3c33d70"],"state_sha256":"3425897183beb9d5ec792c7e8c4f1ab94ba92e4572b42fb4b4cca0434799f7cf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ltTjPSpwb0OlCU2rvfVI1rsz7GSFvcMIXqVnYGR3mhrsEbKWNaqa7gH8WWYR1LuK7jFqKV+x8qxcx1xq4mylAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T11:38:39.653020Z","bundle_sha256":"08431d69db37b5023b7a88545d76251bcb9de06155c4421f5146217d2e257bdf"}}