{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:3BCOWMWNQ5WUNVJLNMMSO3YMWH","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":"db943ed2f5f0645374e358f52bcaf06cd4f321ce687ac90e457c4e2546835c00","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2020-06-25T01:31:07Z","title_canon_sha256":"4df1c689d0025b56042d0bf858a4c4c8ee57bb5d32973edf72f5ed0f5d57411d"},"schema_version":"1.0","source":{"id":"2006.14952","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.14952","created_at":"2026-07-05T02:06:09Z"},{"alias_kind":"arxiv_version","alias_value":"2006.14952v1","created_at":"2026-07-05T02:06:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.14952","created_at":"2026-07-05T02:06:09Z"},{"alias_kind":"pith_short_12","alias_value":"3BCOWMWNQ5WU","created_at":"2026-07-05T02:06:09Z"},{"alias_kind":"pith_short_16","alias_value":"3BCOWMWNQ5WUNVJL","created_at":"2026-07-05T02:06:09Z"},{"alias_kind":"pith_short_8","alias_value":"3BCOWMWN","created_at":"2026-07-05T02:06:09Z"}],"graph_snapshots":[{"event_id":"sha256:b958c9d5a5bc913a6d0321085ada2fb961a9928e6d6d96909f6f1d9502da558f","target":"graph","created_at":"2026-07-05T02:06:09Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2006.14952/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate a hybrid numerical algorithm aimed at the large-scale cosmological N-body simulation for the on-going and the future high precious sky surveys. It makes use of a truncated Fast Multiple Method (FMM) for short-range gravity, incorporating with a Particle Mesh (PM) method for long-range potential, which is applied to deal with extremely large particle number. In this work, we present a specific strategy to modify a conventional FMM by a Gaussian shaped factor and provide quantitative expressions for the interaction kernels between multipole expansions. Moreover, a proper multipole","authors_text":"Qiao Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2020-06-25T01:31:07Z","title":"A Hybrid Fast Multipole Method for Cosmological N-body Simulations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.14952","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":"sha256:10d87e51fbc9eb49432f64efd03cd63716fe6fba7602aaa7fbfaa97372524a23","target":"record","created_at":"2026-07-05T02:06:09Z","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":"db943ed2f5f0645374e358f52bcaf06cd4f321ce687ac90e457c4e2546835c00","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2020-06-25T01:31:07Z","title_canon_sha256":"4df1c689d0025b56042d0bf858a4c4c8ee57bb5d32973edf72f5ed0f5d57411d"},"schema_version":"1.0","source":{"id":"2006.14952","kind":"arxiv","version":1}},"canonical_sha256":"d844eb32cd876d46d52b6b19276f0cb1e7ecd3aa417c507544d82f5ee1d60e4a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d844eb32cd876d46d52b6b19276f0cb1e7ecd3aa417c507544d82f5ee1d60e4a","first_computed_at":"2026-07-05T02:06:09.983334Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:06:09.983334Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8xWkwFXH6TYlXLGsRqNyDHmK8B/hVksfYt/njiLjlkvg1AAMWGHZjU0b9CnHtUsDt62aTNtnacLBfV5Rgt88BA==","signature_status":"signed_v1","signed_at":"2026-07-05T02:06:09.983779Z","signed_message":"canonical_sha256_bytes"},"source_id":"2006.14952","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:10d87e51fbc9eb49432f64efd03cd63716fe6fba7602aaa7fbfaa97372524a23","sha256:b958c9d5a5bc913a6d0321085ada2fb961a9928e6d6d96909f6f1d9502da558f"],"state_sha256":"f528be82404314a139a71b2f1a57f282cab3e404f167fdffc5544be92b0a71fa"}