{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:BF4EQKS7HYKMZP6M5PNMKR73ES","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":"68be6c8202f14af6ebd5e1e7fc354d20c2d9b70c013b130b5c9d76783314789c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2024-02-06T19:07:25Z","title_canon_sha256":"ba6859bc2ba80b65c0b272a938387e177df236c502953fe6515779e3721ee318"},"schema_version":"1.0","source":{"id":"2402.04323","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.04323","created_at":"2026-07-05T07:42:06Z"},{"alias_kind":"arxiv_version","alias_value":"2402.04323v1","created_at":"2026-07-05T07:42:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.04323","created_at":"2026-07-05T07:42:06Z"},{"alias_kind":"pith_short_12","alias_value":"BF4EQKS7HYKM","created_at":"2026-07-05T07:42:06Z"},{"alias_kind":"pith_short_16","alias_value":"BF4EQKS7HYKMZP6M","created_at":"2026-07-05T07:42:06Z"},{"alias_kind":"pith_short_8","alias_value":"BF4EQKS7","created_at":"2026-07-05T07:42:06Z"}],"graph_snapshots":[{"event_id":"sha256:364cbc8e99a5ef47492112c783c7901f16d002fc198168de968e6a4cbe10202c","target":"graph","created_at":"2026-07-05T07:42:06Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2402.04323/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"An automorphism of a spherical building is called \\textit{domestic} if it maps no chamber onto an opposite chamber. This paper forms a significant part of a large project classifying domestic automorphisms of spherical buildings of exceptional type. In previous work the classifications for $\\mathsf{G}_2$, $\\mathsf{F}_4$ and $\\mathsf{E}_6$ have been completed, and the present work provides the classification for buildings of type $\\mathsf{E}_7$. In many respects this case is the richest amongst all exceptional types.","authors_text":"Hendrik Van Maldeghem, James Parkinson, Magali Victoor, Yannick Neyt","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2024-02-06T19:07:25Z","title":"Automorphisms and opposition in spherical buildings of exceptional type, IV: The $E_7$ case"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.04323","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":"sha256:140835b47261bb45a5182f5b04efefeecd079e2f80e12b5cb4a823304c59490b","target":"record","created_at":"2026-07-05T07:42:06Z","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":"68be6c8202f14af6ebd5e1e7fc354d20c2d9b70c013b130b5c9d76783314789c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2024-02-06T19:07:25Z","title_canon_sha256":"ba6859bc2ba80b65c0b272a938387e177df236c502953fe6515779e3721ee318"},"schema_version":"1.0","source":{"id":"2402.04323","kind":"arxiv","version":1}},"canonical_sha256":"0978482a5f3e14ccbfccebdac547fb24a16adfeb984d76965bbc2c77d8785d97","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0978482a5f3e14ccbfccebdac547fb24a16adfeb984d76965bbc2c77d8785d97","first_computed_at":"2026-07-05T07:42:06.753726Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:42:06.753726Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YB/ptKsTnBRvAI0l0IyCcls8PauFc6CZe7oC7hwbrhapyxjuH3pjodIcmTS2u+gXf82WW6a+jbaipu7qoFL8AA==","signature_status":"signed_v1","signed_at":"2026-07-05T07:42:06.754259Z","signed_message":"canonical_sha256_bytes"},"source_id":"2402.04323","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:140835b47261bb45a5182f5b04efefeecd079e2f80e12b5cb4a823304c59490b","sha256:364cbc8e99a5ef47492112c783c7901f16d002fc198168de968e6a4cbe10202c"],"state_sha256":"54a752c4b63b220905b367a0b0a65f7e5d8c017b0b631031a0b86d64f299d46c"}