{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:CLN3JBPAI54ZWFWVXCJNFP2ZFF","short_pith_number":"pith:CLN3JBPA","canonical_record":{"source":{"id":"1805.09777","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-05-24T16:55:50Z","cross_cats_sorted":[],"title_canon_sha256":"0ba79720d4f5c9fa19c9cf0f3cb8e517fe5369a9e877ed2077b913a026533712","abstract_canon_sha256":"c5d41609546b1a51614d7bb9bc718a58e13b7d55bfd034f782b7c28033754f0a"},"schema_version":"1.0"},"canonical_sha256":"12dbb485e047799b16d5b892d2bf592975949337ac9d8b23fb06002927e3b52b","source":{"kind":"arxiv","id":"1805.09777","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.09777","created_at":"2026-05-18T00:14:53Z"},{"alias_kind":"arxiv_version","alias_value":"1805.09777v2","created_at":"2026-05-18T00:14:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.09777","created_at":"2026-05-18T00:14:53Z"},{"alias_kind":"pith_short_12","alias_value":"CLN3JBPAI54Z","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"CLN3JBPAI54ZWFWV","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"CLN3JBPA","created_at":"2026-05-18T12:32:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:CLN3JBPAI54ZWFWVXCJNFP2ZFF","target":"record","payload":{"canonical_record":{"source":{"id":"1805.09777","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-05-24T16:55:50Z","cross_cats_sorted":[],"title_canon_sha256":"0ba79720d4f5c9fa19c9cf0f3cb8e517fe5369a9e877ed2077b913a026533712","abstract_canon_sha256":"c5d41609546b1a51614d7bb9bc718a58e13b7d55bfd034f782b7c28033754f0a"},"schema_version":"1.0"},"canonical_sha256":"12dbb485e047799b16d5b892d2bf592975949337ac9d8b23fb06002927e3b52b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:14:53.088580Z","signature_b64":"6py2py0uJLih0PO9lgbH6MHIpzwkCH0Fah+W0z2jrIQy4tKA02P7PvJICRG7QWzF89n1AnUOFvDeCN1qwiW3BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"12dbb485e047799b16d5b892d2bf592975949337ac9d8b23fb06002927e3b52b","last_reissued_at":"2026-05-18T00:14:53.087780Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:14:53.087780Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.09777","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:14:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eRr4dNHy0WhJtYuhgkheupt2xNywdxnLetOtu8/vlkrt+rBAGdVz/cNXYUiYSdTL/kV3Fpo9uoC+B/afvEbeBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T23:13:30.496273Z"},"content_sha256":"b38ff7a4d6adead281ce449b74d4ecda923a37419c36616f24738108a9d83546","schema_version":"1.0","event_id":"sha256:b38ff7a4d6adead281ce449b74d4ecda923a37419c36616f24738108a9d83546"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:CLN3JBPAI54ZWFWVXCJNFP2ZFF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Compatible systems of Galois representations associated to the exceptional group E6","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Brandon Levin, Frank Calegari, George Boxer, Keerthi Madapusi Pera, Matthew Emerton, Stefan Patrikis","submitted_at":"2018-05-24T16:55:50Z","abstract_excerpt":"We construct, over any CM field, compatible systems of l-adic Galois representations that appear in the cohomology of algebraic varieties and have (for all l) algebraic monodromy groups equal to the exceptional group of type E6."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.09777","kind":"arxiv","version":2},"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":"2026-05-18T00:14:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hNxTygeZaBpRRDr17u5jXPONzniVyuapqvJdoex5YxoBrPtis5bCClrE4rSOBbpOAz9a6ynSaTmm3aCcAIYQAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T23:13:30.496625Z"},"content_sha256":"62e8768c4dd7fb3f6fc7f4c51ccbbd43e026736dc187358b4bddedc83d80d122","schema_version":"1.0","event_id":"sha256:62e8768c4dd7fb3f6fc7f4c51ccbbd43e026736dc187358b4bddedc83d80d122"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CLN3JBPAI54ZWFWVXCJNFP2ZFF/bundle.json","state_url":"https://pith.science/pith/CLN3JBPAI54ZWFWVXCJNFP2ZFF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CLN3JBPAI54ZWFWVXCJNFP2ZFF/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":"2026-06-08T23:13:30Z","links":{"resolver":"https://pith.science/pith/CLN3JBPAI54ZWFWVXCJNFP2ZFF","bundle":"https://pith.science/pith/CLN3JBPAI54ZWFWVXCJNFP2ZFF/bundle.json","state":"https://pith.science/pith/CLN3JBPAI54ZWFWVXCJNFP2ZFF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CLN3JBPAI54ZWFWVXCJNFP2ZFF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:CLN3JBPAI54ZWFWVXCJNFP2ZFF","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":"c5d41609546b1a51614d7bb9bc718a58e13b7d55bfd034f782b7c28033754f0a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-05-24T16:55:50Z","title_canon_sha256":"0ba79720d4f5c9fa19c9cf0f3cb8e517fe5369a9e877ed2077b913a026533712"},"schema_version":"1.0","source":{"id":"1805.09777","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.09777","created_at":"2026-05-18T00:14:53Z"},{"alias_kind":"arxiv_version","alias_value":"1805.09777v2","created_at":"2026-05-18T00:14:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.09777","created_at":"2026-05-18T00:14:53Z"},{"alias_kind":"pith_short_12","alias_value":"CLN3JBPAI54Z","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"CLN3JBPAI54ZWFWV","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"CLN3JBPA","created_at":"2026-05-18T12:32:16Z"}],"graph_snapshots":[{"event_id":"sha256:62e8768c4dd7fb3f6fc7f4c51ccbbd43e026736dc187358b4bddedc83d80d122","target":"graph","created_at":"2026-05-18T00:14:53Z","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 construct, over any CM field, compatible systems of l-adic Galois representations that appear in the cohomology of algebraic varieties and have (for all l) algebraic monodromy groups equal to the exceptional group of type E6.","authors_text":"Brandon Levin, Frank Calegari, George Boxer, Keerthi Madapusi Pera, Matthew Emerton, Stefan Patrikis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-05-24T16:55:50Z","title":"Compatible systems of Galois representations associated to the exceptional group E6"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.09777","kind":"arxiv","version":2},"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:b38ff7a4d6adead281ce449b74d4ecda923a37419c36616f24738108a9d83546","target":"record","created_at":"2026-05-18T00:14:53Z","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":"c5d41609546b1a51614d7bb9bc718a58e13b7d55bfd034f782b7c28033754f0a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-05-24T16:55:50Z","title_canon_sha256":"0ba79720d4f5c9fa19c9cf0f3cb8e517fe5369a9e877ed2077b913a026533712"},"schema_version":"1.0","source":{"id":"1805.09777","kind":"arxiv","version":2}},"canonical_sha256":"12dbb485e047799b16d5b892d2bf592975949337ac9d8b23fb06002927e3b52b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"12dbb485e047799b16d5b892d2bf592975949337ac9d8b23fb06002927e3b52b","first_computed_at":"2026-05-18T00:14:53.087780Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:14:53.087780Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6py2py0uJLih0PO9lgbH6MHIpzwkCH0Fah+W0z2jrIQy4tKA02P7PvJICRG7QWzF89n1AnUOFvDeCN1qwiW3BA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:14:53.088580Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.09777","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b38ff7a4d6adead281ce449b74d4ecda923a37419c36616f24738108a9d83546","sha256:62e8768c4dd7fb3f6fc7f4c51ccbbd43e026736dc187358b4bddedc83d80d122"],"state_sha256":"8ae9bd017aaf2ae9a3577089590a995cbb968270397c0d868669212f0b9aa316"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DStVPmGOQvxxr//SPxT7aXMEC1NVxblWOgZRed724HQjCzVv9i74/m/XqDj39g0LfxrAw03e8BHgQ7yYu9RYDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T23:13:30.498457Z","bundle_sha256":"5a5a829424d35d26827fbad9084272cca7d70e2dca7c82cedf86f21d9d85825d"}}