{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:NMASWR3EBIBR6VJI2DHBLV4TEC","short_pith_number":"pith:NMASWR3E","canonical_record":{"source":{"id":"1604.01922","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-04-07T08:55:01Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"817b2c8532000e1f3a9a96df810383e78e93d01fd7a055a4966f4eb39462d16d","abstract_canon_sha256":"0475e9c5eb8401b145dbd0e5381f6b1a1fafb32220c819ba840c9b6d3fbc2691"},"schema_version":"1.0"},"canonical_sha256":"6b012b47640a031f5528d0ce15d79320952ffe5532fc9033e1f7dffad138f40d","source":{"kind":"arxiv","id":"1604.01922","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.01922","created_at":"2026-05-18T01:17:31Z"},{"alias_kind":"arxiv_version","alias_value":"1604.01922v1","created_at":"2026-05-18T01:17:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.01922","created_at":"2026-05-18T01:17:31Z"},{"alias_kind":"pith_short_12","alias_value":"NMASWR3EBIBR","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"NMASWR3EBIBR6VJI","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"NMASWR3E","created_at":"2026-05-18T12:30:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:NMASWR3EBIBR6VJI2DHBLV4TEC","target":"record","payload":{"canonical_record":{"source":{"id":"1604.01922","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-04-07T08:55:01Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"817b2c8532000e1f3a9a96df810383e78e93d01fd7a055a4966f4eb39462d16d","abstract_canon_sha256":"0475e9c5eb8401b145dbd0e5381f6b1a1fafb32220c819ba840c9b6d3fbc2691"},"schema_version":"1.0"},"canonical_sha256":"6b012b47640a031f5528d0ce15d79320952ffe5532fc9033e1f7dffad138f40d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:31.704289Z","signature_b64":"tkldNP4KRvSjhRB0cnnquuYYnRy0fgcXvLjex53y97DON6c8i1TM4Fa/iUR6OzMnODjKOYcYWa0c0A6z+prnBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6b012b47640a031f5528d0ce15d79320952ffe5532fc9033e1f7dffad138f40d","last_reissued_at":"2026-05-18T01:17:31.703530Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:31.703530Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.01922","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":"2026-05-18T01:17:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZL0iOMvJnzA+JZduqCjCnAL9xqRbZbW77Vb/fyGsCdnC3iDNw7wEPKcmNPON+6RY6k2PEe/mIX/Kx2Co0rfzAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T05:25:57.287996Z"},"content_sha256":"5e506276de8c92b1abe6765a17b977c0a25083964e505a46679e4c488e827d70","schema_version":"1.0","event_id":"sha256:5e506276de8c92b1abe6765a17b977c0a25083964e505a46679e4c488e827d70"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:NMASWR3EBIBR6VJI2DHBLV4TEC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Quillen's conjecture for p-solvable groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.AT","authors_text":"Antonio D\\'iaz Ramos","submitted_at":"2016-04-07T08:55:01Z","abstract_excerpt":"We give a new proof of Quillen's conjecture for solvable groups via a geometric and explicit method. For p-solvable groups, we provide both a new proof using the Classification of Finite Simple Groups and an asymptotic version without employing it."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.01922","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":"2026-05-18T01:17:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E6522/6NAsGqo3do3tGvTJS25oUbErWwhOEB4uFjcebkMfqBZvwMuToB5xNTGrIDrPrRjjtJQ/7HObFBQikeDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T05:25:57.288706Z"},"content_sha256":"d4232c05b7cfe55e2fea9ca9b7cffec2057c5a76bbc44e26b57f533536765d11","schema_version":"1.0","event_id":"sha256:d4232c05b7cfe55e2fea9ca9b7cffec2057c5a76bbc44e26b57f533536765d11"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NMASWR3EBIBR6VJI2DHBLV4TEC/bundle.json","state_url":"https://pith.science/pith/NMASWR3EBIBR6VJI2DHBLV4TEC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NMASWR3EBIBR6VJI2DHBLV4TEC/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":"2026-05-31T05:25:57Z","links":{"resolver":"https://pith.science/pith/NMASWR3EBIBR6VJI2DHBLV4TEC","bundle":"https://pith.science/pith/NMASWR3EBIBR6VJI2DHBLV4TEC/bundle.json","state":"https://pith.science/pith/NMASWR3EBIBR6VJI2DHBLV4TEC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NMASWR3EBIBR6VJI2DHBLV4TEC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:NMASWR3EBIBR6VJI2DHBLV4TEC","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":"0475e9c5eb8401b145dbd0e5381f6b1a1fafb32220c819ba840c9b6d3fbc2691","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-04-07T08:55:01Z","title_canon_sha256":"817b2c8532000e1f3a9a96df810383e78e93d01fd7a055a4966f4eb39462d16d"},"schema_version":"1.0","source":{"id":"1604.01922","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.01922","created_at":"2026-05-18T01:17:31Z"},{"alias_kind":"arxiv_version","alias_value":"1604.01922v1","created_at":"2026-05-18T01:17:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.01922","created_at":"2026-05-18T01:17:31Z"},{"alias_kind":"pith_short_12","alias_value":"NMASWR3EBIBR","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"NMASWR3EBIBR6VJI","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"NMASWR3E","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:d4232c05b7cfe55e2fea9ca9b7cffec2057c5a76bbc44e26b57f533536765d11","target":"graph","created_at":"2026-05-18T01:17:31Z","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 new proof of Quillen's conjecture for solvable groups via a geometric and explicit method. For p-solvable groups, we provide both a new proof using the Classification of Finite Simple Groups and an asymptotic version without employing it.","authors_text":"Antonio D\\'iaz Ramos","cross_cats":["math.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-04-07T08:55:01Z","title":"On Quillen's conjecture for p-solvable groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.01922","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":"sha256:5e506276de8c92b1abe6765a17b977c0a25083964e505a46679e4c488e827d70","target":"record","created_at":"2026-05-18T01:17:31Z","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":"0475e9c5eb8401b145dbd0e5381f6b1a1fafb32220c819ba840c9b6d3fbc2691","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-04-07T08:55:01Z","title_canon_sha256":"817b2c8532000e1f3a9a96df810383e78e93d01fd7a055a4966f4eb39462d16d"},"schema_version":"1.0","source":{"id":"1604.01922","kind":"arxiv","version":1}},"canonical_sha256":"6b012b47640a031f5528d0ce15d79320952ffe5532fc9033e1f7dffad138f40d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6b012b47640a031f5528d0ce15d79320952ffe5532fc9033e1f7dffad138f40d","first_computed_at":"2026-05-18T01:17:31.703530Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:31.703530Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tkldNP4KRvSjhRB0cnnquuYYnRy0fgcXvLjex53y97DON6c8i1TM4Fa/iUR6OzMnODjKOYcYWa0c0A6z+prnBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:31.704289Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.01922","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5e506276de8c92b1abe6765a17b977c0a25083964e505a46679e4c488e827d70","sha256:d4232c05b7cfe55e2fea9ca9b7cffec2057c5a76bbc44e26b57f533536765d11"],"state_sha256":"33bf41edef3136f994d27e4c26191980641b5244e8eb4ce638f00e3380ba45be"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GyLns4wap//NALSf8K2O277MgT5i6TlOBK2TZqPDvbigNsxiuRNRuGxqi8KOSreSE8ZsZLBvdbibjA6ahbweAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T05:25:57.292515Z","bundle_sha256":"2a822d50056507ff86fdea8bd39edebdf28067d93a3c1a37d70da3051bd9dde7"}}