{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:VDUHJTQ76QKRYHS7PFIOQ7BHGN","short_pith_number":"pith:VDUHJTQ7","canonical_record":{"source":{"id":"1212.2775","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-12-12T11:36:04Z","cross_cats_sorted":[],"title_canon_sha256":"56439cb690089cb3b9e498b008cdf8fcc9a6c846778fc8d8d2a3de24e498b342","abstract_canon_sha256":"4efdef9f285b95fd33e3e8e980f4ce299b7dff6755508cfa819a7053e75a2c00"},"schema_version":"1.0"},"canonical_sha256":"a8e874ce1ff4151c1e5f7950e87c27335835f1bc46e232aec2b2ce0fc7549bfd","source":{"kind":"arxiv","id":"1212.2775","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.2775","created_at":"2026-05-18T03:38:35Z"},{"alias_kind":"arxiv_version","alias_value":"1212.2775v1","created_at":"2026-05-18T03:38:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.2775","created_at":"2026-05-18T03:38:35Z"},{"alias_kind":"pith_short_12","alias_value":"VDUHJTQ76QKR","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"VDUHJTQ76QKRYHS7","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"VDUHJTQ7","created_at":"2026-05-18T12:27:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:VDUHJTQ76QKRYHS7PFIOQ7BHGN","target":"record","payload":{"canonical_record":{"source":{"id":"1212.2775","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-12-12T11:36:04Z","cross_cats_sorted":[],"title_canon_sha256":"56439cb690089cb3b9e498b008cdf8fcc9a6c846778fc8d8d2a3de24e498b342","abstract_canon_sha256":"4efdef9f285b95fd33e3e8e980f4ce299b7dff6755508cfa819a7053e75a2c00"},"schema_version":"1.0"},"canonical_sha256":"a8e874ce1ff4151c1e5f7950e87c27335835f1bc46e232aec2b2ce0fc7549bfd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:38:35.391294Z","signature_b64":"wrJp3KUDMTCGfpNfbMqdMcttUJKMpRCtdWCmhe3pcF3S0xbPrxm+QvYWd+Jx7nboYkmU+Dwn5b6mT8g0sgVxCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a8e874ce1ff4151c1e5f7950e87c27335835f1bc46e232aec2b2ce0fc7549bfd","last_reissued_at":"2026-05-18T03:38:35.390862Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:38:35.390862Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.2775","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":"2026-05-18T03:38:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6LHkgr1fUo8hkjiW1RcQmZjx6OH/x7/1HUsyQHOL03fuoBxHBqT5U12SyDZrCu4ZdeWswS+NFDbUVGrALOVFCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T04:59:38.423661Z"},"content_sha256":"62d254997e3b037f8bffc40694dccb164254c4995b743069a20e249b85905b37","schema_version":"1.0","event_id":"sha256:62d254997e3b037f8bffc40694dccb164254c4995b743069a20e249b85905b37"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:VDUHJTQ76QKRYHS7PFIOQ7BHGN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Brou\\'e's abelian defect group conjecture for the sporadic simple Janko group J_4 revisited","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Felix Noeske, J\\\"urgen M\\\"uller, Shigeo Koshitani","submitted_at":"2012-12-12T11:36:04Z","abstract_excerpt":"We show that the 3-block of the sporadic simple Janko group J_4 with defect group C_3 x C_3, and the principal 3-block of the alternating group A_8 are Puig equivalent, answering a question posed in earlier work of Koshitani-Kunugi-Waki. To accomplish this, we apply computational techniques, in particular an explicit version of the Brauer construction."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.2775","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":"2026-05-18T03:38:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b8V/sWPydf4yJWj5IPTCCwrhUKn3sWsyccj2AwF7gDyI6wMie1ftIDKizP0hCMb+QFF2Shh8ZyvjPCVohJQKDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T04:59:38.424328Z"},"content_sha256":"3cd804cca916baf3e63ae1fc012675bf1107d5ad45e9386e3ba77e35ae1dd0ea","schema_version":"1.0","event_id":"sha256:3cd804cca916baf3e63ae1fc012675bf1107d5ad45e9386e3ba77e35ae1dd0ea"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VDUHJTQ76QKRYHS7PFIOQ7BHGN/bundle.json","state_url":"https://pith.science/pith/VDUHJTQ76QKRYHS7PFIOQ7BHGN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VDUHJTQ76QKRYHS7PFIOQ7BHGN/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":"2026-06-09T04:59:38Z","links":{"resolver":"https://pith.science/pith/VDUHJTQ76QKRYHS7PFIOQ7BHGN","bundle":"https://pith.science/pith/VDUHJTQ76QKRYHS7PFIOQ7BHGN/bundle.json","state":"https://pith.science/pith/VDUHJTQ76QKRYHS7PFIOQ7BHGN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VDUHJTQ76QKRYHS7PFIOQ7BHGN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:VDUHJTQ76QKRYHS7PFIOQ7BHGN","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":"4efdef9f285b95fd33e3e8e980f4ce299b7dff6755508cfa819a7053e75a2c00","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-12-12T11:36:04Z","title_canon_sha256":"56439cb690089cb3b9e498b008cdf8fcc9a6c846778fc8d8d2a3de24e498b342"},"schema_version":"1.0","source":{"id":"1212.2775","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.2775","created_at":"2026-05-18T03:38:35Z"},{"alias_kind":"arxiv_version","alias_value":"1212.2775v1","created_at":"2026-05-18T03:38:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.2775","created_at":"2026-05-18T03:38:35Z"},{"alias_kind":"pith_short_12","alias_value":"VDUHJTQ76QKR","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"VDUHJTQ76QKRYHS7","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"VDUHJTQ7","created_at":"2026-05-18T12:27:25Z"}],"graph_snapshots":[{"event_id":"sha256:3cd804cca916baf3e63ae1fc012675bf1107d5ad45e9386e3ba77e35ae1dd0ea","target":"graph","created_at":"2026-05-18T03:38:35Z","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 show that the 3-block of the sporadic simple Janko group J_4 with defect group C_3 x C_3, and the principal 3-block of the alternating group A_8 are Puig equivalent, answering a question posed in earlier work of Koshitani-Kunugi-Waki. To accomplish this, we apply computational techniques, in particular an explicit version of the Brauer construction.","authors_text":"Felix Noeske, J\\\"urgen M\\\"uller, Shigeo Koshitani","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-12-12T11:36:04Z","title":"Brou\\'e's abelian defect group conjecture for the sporadic simple Janko group J_4 revisited"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.2775","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":"sha256:62d254997e3b037f8bffc40694dccb164254c4995b743069a20e249b85905b37","target":"record","created_at":"2026-05-18T03:38:35Z","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":"4efdef9f285b95fd33e3e8e980f4ce299b7dff6755508cfa819a7053e75a2c00","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-12-12T11:36:04Z","title_canon_sha256":"56439cb690089cb3b9e498b008cdf8fcc9a6c846778fc8d8d2a3de24e498b342"},"schema_version":"1.0","source":{"id":"1212.2775","kind":"arxiv","version":1}},"canonical_sha256":"a8e874ce1ff4151c1e5f7950e87c27335835f1bc46e232aec2b2ce0fc7549bfd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a8e874ce1ff4151c1e5f7950e87c27335835f1bc46e232aec2b2ce0fc7549bfd","first_computed_at":"2026-05-18T03:38:35.390862Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:38:35.390862Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wrJp3KUDMTCGfpNfbMqdMcttUJKMpRCtdWCmhe3pcF3S0xbPrxm+QvYWd+Jx7nboYkmU+Dwn5b6mT8g0sgVxCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:38:35.391294Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.2775","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:62d254997e3b037f8bffc40694dccb164254c4995b743069a20e249b85905b37","sha256:3cd804cca916baf3e63ae1fc012675bf1107d5ad45e9386e3ba77e35ae1dd0ea"],"state_sha256":"76ddeee2c75e57a31faddd47b7825e6921c4d0934174c363586ec5d8bbae5d63"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"StUL1DmCYYJSO2nd8vhcsLm7IXW/Gh9yxAcIHg4OCNzxGWHD3FxVvfX7XGRYx7rhsLFPQc0NiLorUtamYrKADQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T04:59:38.428209Z","bundle_sha256":"c802970f1927c65cfb6d0e4efe61fe79c9c859b6bdd300c875ceaa53ef723fb1"}}