{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:JOQ7XPFEOLJQST7AEIJSUXXDDB","short_pith_number":"pith:JOQ7XPFE","canonical_record":{"source":{"id":"1502.07294","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-02-25T18:37:51Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"63736cff27daca9e232b72d8d4b0d1c6d4447c8e80fe3bfcaeea4ad333ff1f0d","abstract_canon_sha256":"003e7233ca8c9d8b9661b5f637592d99efa3d54bb4c9b12e4a8c28d68dd5b652"},"schema_version":"1.0"},"canonical_sha256":"4ba1fbbca472d3094fe022132a5ee318792aa73875bc5d2d880f7d677de61ffb","source":{"kind":"arxiv","id":"1502.07294","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.07294","created_at":"2026-05-18T02:26:11Z"},{"alias_kind":"arxiv_version","alias_value":"1502.07294v1","created_at":"2026-05-18T02:26:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.07294","created_at":"2026-05-18T02:26:11Z"},{"alias_kind":"pith_short_12","alias_value":"JOQ7XPFEOLJQ","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JOQ7XPFEOLJQST7A","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JOQ7XPFE","created_at":"2026-05-18T12:29:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:JOQ7XPFEOLJQST7AEIJSUXXDDB","target":"record","payload":{"canonical_record":{"source":{"id":"1502.07294","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-02-25T18:37:51Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"63736cff27daca9e232b72d8d4b0d1c6d4447c8e80fe3bfcaeea4ad333ff1f0d","abstract_canon_sha256":"003e7233ca8c9d8b9661b5f637592d99efa3d54bb4c9b12e4a8c28d68dd5b652"},"schema_version":"1.0"},"canonical_sha256":"4ba1fbbca472d3094fe022132a5ee318792aa73875bc5d2d880f7d677de61ffb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:26:11.381140Z","signature_b64":"M6wRduIUZXuZpuTlakcmuw4y+KfrYVaC16nXPSwv0icDXyVu5vonyg5YMuUZUqfzg/fm9SukfblS8id/SgrwCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4ba1fbbca472d3094fe022132a5ee318792aa73875bc5d2d880f7d677de61ffb","last_reissued_at":"2026-05-18T02:26:11.380666Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:26:11.380666Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.07294","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":"2026-05-18T02:26:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3J4MOTux2bBZOSVgQRIsSsLZ6w0yQ+7OMiO2gZO/MPwr3ThQ7nHp0qJEfpZbCxprp4NmLXEwGbhPZu9B5iUTDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T06:33:16.503987Z"},"content_sha256":"158ce4102a91fbfd22063b5e994a5389e12dbfeda51a90c383517706a71681ba","schema_version":"1.0","event_id":"sha256:158ce4102a91fbfd22063b5e994a5389e12dbfeda51a90c383517706a71681ba"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:JOQ7XPFEOLJQST7AEIJSUXXDDB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spin covers of maximal compact subgroups of Kac-Moody groups and spin-extended Weyl groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.GR","authors_text":"David Ghatei, Max Horn, Ralf K\\\"ohl, Sebastian Wei{\\ss}","submitted_at":"2015-02-25T18:37:51Z","abstract_excerpt":"Let G be a split real Kac-Moody group of arbitrary type and let K be its maximal compact subgroup, i.e. the subgroup of elements fixed by a Cartan-Chevalley involution of G. We construct non-trivial spin covers of K, thus confirming a conjecture by Damour and Hillmann (arXiv:0906.3116). For irreducible simply laced diagrams and for all spherical diagrams these spin covers are two-fold central extensions of K. For more complicated irreducible diagrams these spin covers are central extensions by a finite 2-group of possibly larger cardinality. Our construction is amalgam-theoretic and makes use "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.07294","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":"2026-05-18T02:26:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cX3cTqlBoj6GAXW/kF4mlEZfiCD7meM9/EK7cpSR2mIxkRgT/G7lyI0MLROCWQQXuDxCAGLy7U7y4hKZ0QTAAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T06:33:16.504362Z"},"content_sha256":"badcd56ae921e2a0059d08db2e14f8d766a2dd9a17463ec5ed75d27913873f99","schema_version":"1.0","event_id":"sha256:badcd56ae921e2a0059d08db2e14f8d766a2dd9a17463ec5ed75d27913873f99"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JOQ7XPFEOLJQST7AEIJSUXXDDB/bundle.json","state_url":"https://pith.science/pith/JOQ7XPFEOLJQST7AEIJSUXXDDB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JOQ7XPFEOLJQST7AEIJSUXXDDB/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":"2026-06-01T06:33:16Z","links":{"resolver":"https://pith.science/pith/JOQ7XPFEOLJQST7AEIJSUXXDDB","bundle":"https://pith.science/pith/JOQ7XPFEOLJQST7AEIJSUXXDDB/bundle.json","state":"https://pith.science/pith/JOQ7XPFEOLJQST7AEIJSUXXDDB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JOQ7XPFEOLJQST7AEIJSUXXDDB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:JOQ7XPFEOLJQST7AEIJSUXXDDB","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":"003e7233ca8c9d8b9661b5f637592d99efa3d54bb4c9b12e4a8c28d68dd5b652","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-02-25T18:37:51Z","title_canon_sha256":"63736cff27daca9e232b72d8d4b0d1c6d4447c8e80fe3bfcaeea4ad333ff1f0d"},"schema_version":"1.0","source":{"id":"1502.07294","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.07294","created_at":"2026-05-18T02:26:11Z"},{"alias_kind":"arxiv_version","alias_value":"1502.07294v1","created_at":"2026-05-18T02:26:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.07294","created_at":"2026-05-18T02:26:11Z"},{"alias_kind":"pith_short_12","alias_value":"JOQ7XPFEOLJQ","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JOQ7XPFEOLJQST7A","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JOQ7XPFE","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:badcd56ae921e2a0059d08db2e14f8d766a2dd9a17463ec5ed75d27913873f99","target":"graph","created_at":"2026-05-18T02:26:11Z","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":"Let G be a split real Kac-Moody group of arbitrary type and let K be its maximal compact subgroup, i.e. the subgroup of elements fixed by a Cartan-Chevalley involution of G. We construct non-trivial spin covers of K, thus confirming a conjecture by Damour and Hillmann (arXiv:0906.3116). For irreducible simply laced diagrams and for all spherical diagrams these spin covers are two-fold central extensions of K. For more complicated irreducible diagrams these spin covers are central extensions by a finite 2-group of possibly larger cardinality. Our construction is amalgam-theoretic and makes use ","authors_text":"David Ghatei, Max Horn, Ralf K\\\"ohl, Sebastian Wei{\\ss}","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-02-25T18:37:51Z","title":"Spin covers of maximal compact subgroups of Kac-Moody groups and spin-extended Weyl groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.07294","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":"sha256:158ce4102a91fbfd22063b5e994a5389e12dbfeda51a90c383517706a71681ba","target":"record","created_at":"2026-05-18T02:26:11Z","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":"003e7233ca8c9d8b9661b5f637592d99efa3d54bb4c9b12e4a8c28d68dd5b652","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-02-25T18:37:51Z","title_canon_sha256":"63736cff27daca9e232b72d8d4b0d1c6d4447c8e80fe3bfcaeea4ad333ff1f0d"},"schema_version":"1.0","source":{"id":"1502.07294","kind":"arxiv","version":1}},"canonical_sha256":"4ba1fbbca472d3094fe022132a5ee318792aa73875bc5d2d880f7d677de61ffb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4ba1fbbca472d3094fe022132a5ee318792aa73875bc5d2d880f7d677de61ffb","first_computed_at":"2026-05-18T02:26:11.380666Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:11.380666Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"M6wRduIUZXuZpuTlakcmuw4y+KfrYVaC16nXPSwv0icDXyVu5vonyg5YMuUZUqfzg/fm9SukfblS8id/SgrwCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:11.381140Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.07294","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:158ce4102a91fbfd22063b5e994a5389e12dbfeda51a90c383517706a71681ba","sha256:badcd56ae921e2a0059d08db2e14f8d766a2dd9a17463ec5ed75d27913873f99"],"state_sha256":"cb92ad24b97d944d5fe1cd1c9c0d134da63a846e9a677ca3a89e3fe694d52972"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nO8E2klUBun8aYmKiT19Nmgn9iVJZ+Egvye0eCaJnMyXdGCDND6q37iUzNCitz7/hznXLTw3wqYOy7w5mOhADg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T06:33:16.506626Z","bundle_sha256":"81ee6552cc50ab4cf12a91219a3072da55dc59fc321da0351e626d8bb61ebc2d"}}