{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:7MLSTMF4YELN7NIS4GZK5DDQAM","short_pith_number":"pith:7MLSTMF4","canonical_record":{"source":{"id":"1209.5600","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2012-09-25T13:18:20Z","cross_cats_sorted":[],"title_canon_sha256":"ffecd328dcd254e03eee39451c376a30c5e258a94dd6fc9ef238548667e01312","abstract_canon_sha256":"b3b663711ba9289f827f0fe70a8f10335c923f84ed30884fe1c523af74b85b08"},"schema_version":"1.0"},"canonical_sha256":"fb1729b0bcc116dfb512e1b2ae8c700326eaafd5d525403e8445b23b9f48f981","source":{"kind":"arxiv","id":"1209.5600","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.5600","created_at":"2026-05-18T03:44:48Z"},{"alias_kind":"arxiv_version","alias_value":"1209.5600v1","created_at":"2026-05-18T03:44:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.5600","created_at":"2026-05-18T03:44:48Z"},{"alias_kind":"pith_short_12","alias_value":"7MLSTMF4YELN","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"7MLSTMF4YELN7NIS","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"7MLSTMF4","created_at":"2026-05-18T12:26:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:7MLSTMF4YELN7NIS4GZK5DDQAM","target":"record","payload":{"canonical_record":{"source":{"id":"1209.5600","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2012-09-25T13:18:20Z","cross_cats_sorted":[],"title_canon_sha256":"ffecd328dcd254e03eee39451c376a30c5e258a94dd6fc9ef238548667e01312","abstract_canon_sha256":"b3b663711ba9289f827f0fe70a8f10335c923f84ed30884fe1c523af74b85b08"},"schema_version":"1.0"},"canonical_sha256":"fb1729b0bcc116dfb512e1b2ae8c700326eaafd5d525403e8445b23b9f48f981","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:44:48.042744Z","signature_b64":"ux/vw87fhpqq5YRzOGEdKUVA/tgSHASQ8+8+blZozGa1whlqdyT/DGf42Bk+PkiJ5c90ASCsyOaP9CyqXVBODw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fb1729b0bcc116dfb512e1b2ae8c700326eaafd5d525403e8445b23b9f48f981","last_reissued_at":"2026-05-18T03:44:48.042035Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:44:48.042035Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1209.5600","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":"2026-05-18T03:44:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rhlD2PICVp8TnZoycdOdsm4G9fJDL4RYDIsKtG4y1vJEePgvFPZTCUReAE0+ABHWeSX4B6kvs4Us44HDM0NEAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T21:56:30.639661Z"},"content_sha256":"35aacb003ffbb1d67116ef3fd1b42d8ed268982be6ae39bc33351e4aaa4dd6a6","schema_version":"1.0","event_id":"sha256:35aacb003ffbb1d67116ef3fd1b42d8ed268982be6ae39bc33351e4aaa4dd6a6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:7MLSTMF4YELN7NIS4GZK5DDQAM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A computational approach to the Kostant-Sekiguchi correspondence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Heiko Dietrich, Willem A. de Graaf","submitted_at":"2012-09-25T13:18:20Z","abstract_excerpt":"Let g be a real form of a simple complex Lie algebra. Based on ideas of Djokovic and Vinberg, we describe an algorithm to compute representatives of the nilpotent orbits of g using the Kostant-Sekiguchi correspondence. Our algorithms are implemented for the computer algebra system GAP and, as an application, we have built a database of nilpotent orbits of all real forms of simple complex Lie algebras of rank at most 8. In addition, we consider two real forms g and g' of a complex simple Lie algebra g^c with Cartan decompositions g= k+p and g'=k'+p'. We describe an explicit construction of an i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.5600","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":"2026-05-18T03:44:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zVLG1iEKZH2C6QhwzU8sDCNNU/flku5JbTqmO0F0b2Jz7ji4xI7wsDraaqL+7n99dgPqp2kijT89wIccItxNAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T21:56:30.640036Z"},"content_sha256":"b4aba499248bf6a82b0fb8a3293edf9de06febc6f7d49c2f41ba43ba4855af0a","schema_version":"1.0","event_id":"sha256:b4aba499248bf6a82b0fb8a3293edf9de06febc6f7d49c2f41ba43ba4855af0a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7MLSTMF4YELN7NIS4GZK5DDQAM/bundle.json","state_url":"https://pith.science/pith/7MLSTMF4YELN7NIS4GZK5DDQAM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7MLSTMF4YELN7NIS4GZK5DDQAM/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":"2026-05-19T21:56:30Z","links":{"resolver":"https://pith.science/pith/7MLSTMF4YELN7NIS4GZK5DDQAM","bundle":"https://pith.science/pith/7MLSTMF4YELN7NIS4GZK5DDQAM/bundle.json","state":"https://pith.science/pith/7MLSTMF4YELN7NIS4GZK5DDQAM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7MLSTMF4YELN7NIS4GZK5DDQAM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:7MLSTMF4YELN7NIS4GZK5DDQAM","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":"b3b663711ba9289f827f0fe70a8f10335c923f84ed30884fe1c523af74b85b08","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2012-09-25T13:18:20Z","title_canon_sha256":"ffecd328dcd254e03eee39451c376a30c5e258a94dd6fc9ef238548667e01312"},"schema_version":"1.0","source":{"id":"1209.5600","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.5600","created_at":"2026-05-18T03:44:48Z"},{"alias_kind":"arxiv_version","alias_value":"1209.5600v1","created_at":"2026-05-18T03:44:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.5600","created_at":"2026-05-18T03:44:48Z"},{"alias_kind":"pith_short_12","alias_value":"7MLSTMF4YELN","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"7MLSTMF4YELN7NIS","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"7MLSTMF4","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:b4aba499248bf6a82b0fb8a3293edf9de06febc6f7d49c2f41ba43ba4855af0a","target":"graph","created_at":"2026-05-18T03:44:48Z","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 real form of a simple complex Lie algebra. Based on ideas of Djokovic and Vinberg, we describe an algorithm to compute representatives of the nilpotent orbits of g using the Kostant-Sekiguchi correspondence. Our algorithms are implemented for the computer algebra system GAP and, as an application, we have built a database of nilpotent orbits of all real forms of simple complex Lie algebras of rank at most 8. In addition, we consider two real forms g and g' of a complex simple Lie algebra g^c with Cartan decompositions g= k+p and g'=k'+p'. We describe an explicit construction of an i","authors_text":"Heiko Dietrich, Willem A. de Graaf","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2012-09-25T13:18:20Z","title":"A computational approach to the Kostant-Sekiguchi correspondence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.5600","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":"sha256:35aacb003ffbb1d67116ef3fd1b42d8ed268982be6ae39bc33351e4aaa4dd6a6","target":"record","created_at":"2026-05-18T03:44:48Z","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":"b3b663711ba9289f827f0fe70a8f10335c923f84ed30884fe1c523af74b85b08","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2012-09-25T13:18:20Z","title_canon_sha256":"ffecd328dcd254e03eee39451c376a30c5e258a94dd6fc9ef238548667e01312"},"schema_version":"1.0","source":{"id":"1209.5600","kind":"arxiv","version":1}},"canonical_sha256":"fb1729b0bcc116dfb512e1b2ae8c700326eaafd5d525403e8445b23b9f48f981","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fb1729b0bcc116dfb512e1b2ae8c700326eaafd5d525403e8445b23b9f48f981","first_computed_at":"2026-05-18T03:44:48.042035Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:44:48.042035Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ux/vw87fhpqq5YRzOGEdKUVA/tgSHASQ8+8+blZozGa1whlqdyT/DGf42Bk+PkiJ5c90ASCsyOaP9CyqXVBODw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:44:48.042744Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.5600","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:35aacb003ffbb1d67116ef3fd1b42d8ed268982be6ae39bc33351e4aaa4dd6a6","sha256:b4aba499248bf6a82b0fb8a3293edf9de06febc6f7d49c2f41ba43ba4855af0a"],"state_sha256":"e91cd672edc19d46fd074196df47eb78e26e64c5885aa82b4466e9fe38141574"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G8R678qimx1t6yYtknQHB+lQwHpKdXAS8yl0aoNBbRQo48XUWsVlqJaCFoVuWPgWcymoM4BT92T8t8rSkvfpDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-19T21:56:30.642237Z","bundle_sha256":"6e7e73bed2924c9e1b34b344d75c0ae2c8b64e07b360b3ba5a067a92143f44dd"}}