{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:S6SXT7T44LNH4L4IOD6ZL7RZV5","short_pith_number":"pith:S6SXT7T4","schema_version":"1.0","canonical_sha256":"97a579fe7ce2da7e2f8870fd95fe39af4f785a36e5b187c437f685802e886230","source":{"kind":"arxiv","id":"1707.01726","version":1},"attestation_state":"computed","paper":{"title":"On pre-Lie Magnus expansion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Mahdi J. Hasan Al-Kaabi","submitted_at":"2017-07-06T10:45:42Z","abstract_excerpt":"In this paper, we study the classical and pre-Lie Magnus expansions, discussing how we can find a recursion for the pre-Lie case which already incorporates the pre-Lie identity. We give a combinatorial vision of a numerical method proposed by S. Blanes, F. Casas, and J. Ros, on a writing of the classical Magnus expansion in a free Lie algebra, using a pre-Lie structure."},"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":"1707.01726","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-07-06T10:45:42Z","cross_cats_sorted":[],"title_canon_sha256":"8332ee6be310f5a35fac778d0dd64e6ddc0165a047f66d5a67abbab4ecb64f64","abstract_canon_sha256":"525a3b0a101e81d1cee6368a3d94d19310dc104b70face3739b6821e6ff76573"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:47.683842Z","signature_b64":"c0XTMi4lKRCboKeejnpa3DHtw09ICZgVOYxNR6vOC6UZZL1K3R2Gj3OM8TRCUW7kUrA+e6TzU5VDD59oj49MBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"97a579fe7ce2da7e2f8870fd95fe39af4f785a36e5b187c437f685802e886230","last_reissued_at":"2026-05-18T00:40:47.683237Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:47.683237Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On pre-Lie Magnus expansion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Mahdi J. Hasan Al-Kaabi","submitted_at":"2017-07-06T10:45:42Z","abstract_excerpt":"In this paper, we study the classical and pre-Lie Magnus expansions, discussing how we can find a recursion for the pre-Lie case which already incorporates the pre-Lie identity. We give a combinatorial vision of a numerical method proposed by S. Blanes, F. Casas, and J. Ros, on a writing of the classical Magnus expansion in a free Lie algebra, using a pre-Lie structure."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.01726","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":"1707.01726","created_at":"2026-05-18T00:40:47.683311+00:00"},{"alias_kind":"arxiv_version","alias_value":"1707.01726v1","created_at":"2026-05-18T00:40:47.683311+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.01726","created_at":"2026-05-18T00:40:47.683311+00:00"},{"alias_kind":"pith_short_12","alias_value":"S6SXT7T44LNH","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_16","alias_value":"S6SXT7T44LNH4L4I","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_8","alias_value":"S6SXT7T4","created_at":"2026-05-18T12:31:43.269735+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/S6SXT7T44LNH4L4IOD6ZL7RZV5","json":"https://pith.science/pith/S6SXT7T44LNH4L4IOD6ZL7RZV5.json","graph_json":"https://pith.science/api/pith-number/S6SXT7T44LNH4L4IOD6ZL7RZV5/graph.json","events_json":"https://pith.science/api/pith-number/S6SXT7T44LNH4L4IOD6ZL7RZV5/events.json","paper":"https://pith.science/paper/S6SXT7T4"},"agent_actions":{"view_html":"https://pith.science/pith/S6SXT7T44LNH4L4IOD6ZL7RZV5","download_json":"https://pith.science/pith/S6SXT7T44LNH4L4IOD6ZL7RZV5.json","view_paper":"https://pith.science/paper/S6SXT7T4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1707.01726&json=true","fetch_graph":"https://pith.science/api/pith-number/S6SXT7T44LNH4L4IOD6ZL7RZV5/graph.json","fetch_events":"https://pith.science/api/pith-number/S6SXT7T44LNH4L4IOD6ZL7RZV5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/S6SXT7T44LNH4L4IOD6ZL7RZV5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/S6SXT7T44LNH4L4IOD6ZL7RZV5/action/storage_attestation","attest_author":"https://pith.science/pith/S6SXT7T44LNH4L4IOD6ZL7RZV5/action/author_attestation","sign_citation":"https://pith.science/pith/S6SXT7T44LNH4L4IOD6ZL7RZV5/action/citation_signature","submit_replication":"https://pith.science/pith/S6SXT7T44LNH4L4IOD6ZL7RZV5/action/replication_record"}},"created_at":"2026-05-18T00:40:47.683311+00:00","updated_at":"2026-05-18T00:40:47.683311+00:00"}