{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:JUGYWAWIQVBJLQRXSEQWORPET6","short_pith_number":"pith:JUGYWAWI","schema_version":"1.0","canonical_sha256":"4d0d8b02c8854295c23791216745e49f827f21449dae66f4795812e85bc7f9df","source":{"kind":"arxiv","id":"2607.01596","version":1},"attestation_state":"computed","paper":{"title":"Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.IM","authors_text":"Lijie Mei, Yujie Jiang","submitted_at":"2026-07-02T01:47:04Z","abstract_excerpt":"The nonseparability of post-Newtonian (PN) Hamiltonian systems typically necessitates the use of computationally expensive implicit integrators. Recent research overcomes this limitation by embedding the dynamics into a doubled phase space, which enables the development of explicit symplectic methods. However, existing specially designed explicit integrators suffer from order reduction for high-order methods when the time stepsize is small, i.e., $h <\\varepsilon^3$. In this paper, we propose a novel extension and splitting approach for the doubled Hamiltonian, under which specially designed ex"},"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":"2607.01596","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2026-07-02T01:47:04Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"bc6c57bfde25de392094c579c3446b79aef859bf6850ba797e8628b236ab7d1b","abstract_canon_sha256":"8af70226d8a43509f2b76e7d8e1f974632ef90aeb270cb366691173a64b7d379"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-03T01:17:02.896427Z","signature_b64":"eubd0llqnBTh9JR8ATtfztPkDp/EG+8FhLdPfBhfMlIzh3u2Dpmq/EjJdXkZcuDKOWqNuzBMXxhnNV4Iq52IBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4d0d8b02c8854295c23791216745e49f827f21449dae66f4795812e85bc7f9df","last_reissued_at":"2026-07-03T01:17:02.895974Z","signature_status":"signed_v1","first_computed_at":"2026-07-03T01:17:02.895974Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.IM","authors_text":"Lijie Mei, Yujie Jiang","submitted_at":"2026-07-02T01:47:04Z","abstract_excerpt":"The nonseparability of post-Newtonian (PN) Hamiltonian systems typically necessitates the use of computationally expensive implicit integrators. Recent research overcomes this limitation by embedding the dynamics into a doubled phase space, which enables the development of explicit symplectic methods. However, existing specially designed explicit integrators suffer from order reduction for high-order methods when the time stepsize is small, i.e., $h <\\varepsilon^3$. In this paper, we propose a novel extension and splitting approach for the doubled Hamiltonian, under which specially designed ex"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.01596","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.01596/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2607.01596","created_at":"2026-07-03T01:17:02.896048+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.01596v1","created_at":"2026-07-03T01:17:02.896048+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.01596","created_at":"2026-07-03T01:17:02.896048+00:00"},{"alias_kind":"pith_short_12","alias_value":"JUGYWAWIQVBJ","created_at":"2026-07-03T01:17:02.896048+00:00"},{"alias_kind":"pith_short_16","alias_value":"JUGYWAWIQVBJLQRX","created_at":"2026-07-03T01:17:02.896048+00:00"},{"alias_kind":"pith_short_8","alias_value":"JUGYWAWI","created_at":"2026-07-03T01:17:02.896048+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/JUGYWAWIQVBJLQRXSEQWORPET6","json":"https://pith.science/pith/JUGYWAWIQVBJLQRXSEQWORPET6.json","graph_json":"https://pith.science/api/pith-number/JUGYWAWIQVBJLQRXSEQWORPET6/graph.json","events_json":"https://pith.science/api/pith-number/JUGYWAWIQVBJLQRXSEQWORPET6/events.json","paper":"https://pith.science/paper/JUGYWAWI"},"agent_actions":{"view_html":"https://pith.science/pith/JUGYWAWIQVBJLQRXSEQWORPET6","download_json":"https://pith.science/pith/JUGYWAWIQVBJLQRXSEQWORPET6.json","view_paper":"https://pith.science/paper/JUGYWAWI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.01596&json=true","fetch_graph":"https://pith.science/api/pith-number/JUGYWAWIQVBJLQRXSEQWORPET6/graph.json","fetch_events":"https://pith.science/api/pith-number/JUGYWAWIQVBJLQRXSEQWORPET6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JUGYWAWIQVBJLQRXSEQWORPET6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JUGYWAWIQVBJLQRXSEQWORPET6/action/storage_attestation","attest_author":"https://pith.science/pith/JUGYWAWIQVBJLQRXSEQWORPET6/action/author_attestation","sign_citation":"https://pith.science/pith/JUGYWAWIQVBJLQRXSEQWORPET6/action/citation_signature","submit_replication":"https://pith.science/pith/JUGYWAWIQVBJLQRXSEQWORPET6/action/replication_record"}},"created_at":"2026-07-03T01:17:02.896048+00:00","updated_at":"2026-07-03T01:17:02.896048+00:00"}