{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:FMFAN4EIQT7L5FZHVLBZORBD2W","short_pith_number":"pith:FMFAN4EI","schema_version":"1.0","canonical_sha256":"2b0a06f08884febe9727aac3974423d5a3f5433e15bde7a9b596673890c89365","source":{"kind":"arxiv","id":"math/0701267","version":1},"attestation_state":"computed","paper":{"title":"Symmetric pairs and Gorelik elements","license":"","headline":"","cross_cats":["math.RA"],"primary_cat":"math.RT","authors_text":"Emanuela Petracci, Michel Duflo","submitted_at":"2007-01-09T20:36:56Z","abstract_excerpt":"The second author gave a formula for the elements of the enveloping algebra of a Lie superalgebra defined by Gorelik under an appropriate unimodularity assumption. We show that this formula is a particular case of a formula for the Jacobian of the exponential map of a symmetric superspace."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"math/0701267","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.RT","submitted_at":"2007-01-09T20:36:56Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"adf66478e87e508fe6ceada453ed51174945d4dbde33d92dc913265386f04c77","abstract_canon_sha256":"bdd35f560ce6d412e13490ec8ff33274dce15b5ff9abfbb554ff26484fe1bebb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:28:28.045290Z","signature_b64":"JJnohnjH+XkoqDyVXUImc97t3YJzOG5ZIrQtvw52+JrO7ySxasB2/y9TYcgcf0TUKYLkH9x/3tdZUVg+vakFDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2b0a06f08884febe9727aac3974423d5a3f5433e15bde7a9b596673890c89365","last_reissued_at":"2026-05-18T04:28:28.044851Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:28:28.044851Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Symmetric pairs and Gorelik elements","license":"","headline":"","cross_cats":["math.RA"],"primary_cat":"math.RT","authors_text":"Emanuela Petracci, Michel Duflo","submitted_at":"2007-01-09T20:36:56Z","abstract_excerpt":"The second author gave a formula for the elements of the enveloping algebra of a Lie superalgebra defined by Gorelik under an appropriate unimodularity assumption. We show that this formula is a particular case of a formula for the Jacobian of the exponential map of a symmetric superspace."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0701267","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"math/0701267","created_at":"2026-05-18T04:28:28.044919+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0701267v1","created_at":"2026-05-18T04:28:28.044919+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0701267","created_at":"2026-05-18T04:28:28.044919+00:00"},{"alias_kind":"pith_short_12","alias_value":"FMFAN4EIQT7L","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_16","alias_value":"FMFAN4EIQT7L5FZH","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_8","alias_value":"FMFAN4EI","created_at":"2026-05-18T12:25:55.427421+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FMFAN4EIQT7L5FZHVLBZORBD2W","json":"https://pith.science/pith/FMFAN4EIQT7L5FZHVLBZORBD2W.json","graph_json":"https://pith.science/api/pith-number/FMFAN4EIQT7L5FZHVLBZORBD2W/graph.json","events_json":"https://pith.science/api/pith-number/FMFAN4EIQT7L5FZHVLBZORBD2W/events.json","paper":"https://pith.science/paper/FMFAN4EI"},"agent_actions":{"view_html":"https://pith.science/pith/FMFAN4EIQT7L5FZHVLBZORBD2W","download_json":"https://pith.science/pith/FMFAN4EIQT7L5FZHVLBZORBD2W.json","view_paper":"https://pith.science/paper/FMFAN4EI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0701267&json=true","fetch_graph":"https://pith.science/api/pith-number/FMFAN4EIQT7L5FZHVLBZORBD2W/graph.json","fetch_events":"https://pith.science/api/pith-number/FMFAN4EIQT7L5FZHVLBZORBD2W/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FMFAN4EIQT7L5FZHVLBZORBD2W/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FMFAN4EIQT7L5FZHVLBZORBD2W/action/storage_attestation","attest_author":"https://pith.science/pith/FMFAN4EIQT7L5FZHVLBZORBD2W/action/author_attestation","sign_citation":"https://pith.science/pith/FMFAN4EIQT7L5FZHVLBZORBD2W/action/citation_signature","submit_replication":"https://pith.science/pith/FMFAN4EIQT7L5FZHVLBZORBD2W/action/replication_record"}},"created_at":"2026-05-18T04:28:28.044919+00:00","updated_at":"2026-05-18T04:28:28.044919+00:00"}