{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:GYEANFZHKALCZZZG2GERS5EFSY","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":"34ad1ee64b704c2eb40933a663d3d8ecfddc191b8ac6240bbb504ed6fb3150c0","cross_cats_sorted":["astro-ph.IM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-05-11T21:48:10Z","title_canon_sha256":"25bb96b8fbb04aa2ca54205530980ceb798d4f08cfebed1cec3f67c662edec41"},"schema_version":"1.0","source":{"id":"1205.2729","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.2729","created_at":"2026-05-18T01:57:33Z"},{"alias_kind":"arxiv_version","alias_value":"1205.2729v3","created_at":"2026-05-18T01:57:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.2729","created_at":"2026-05-18T01:57:33Z"},{"alias_kind":"pith_short_12","alias_value":"GYEANFZHKALC","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"GYEANFZHKALCZZZG","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"GYEANFZH","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:66300c65559cba6479737d5da7a31088ed0e5353cfda7a5fcc29e8b3d179b65e","target":"graph","created_at":"2026-05-18T01:57:33Z","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":"In self-consistent N-body simulations of collisionless systems, gravitational interactions are modified on small scales to remove singularities and simplify the task of numerically integrating the equations of motion. This `gravitational softening' is sometimes presented as an ad-hoc departure from Newtonian gravity. However, softening can also be described as a smoothing operation applied to the mass distribution; the gravitational potential and the smoothed density obey Poisson's equation precisely. While `softening' and `smoothing' are mathematically equivalent descriptions, the latter has ","authors_text":"Joshua E. Barnes","cross_cats":["astro-ph.IM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-05-11T21:48:10Z","title":"Gravitational softening as a smoothing operation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.2729","kind":"arxiv","version":3},"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:e0134ff9423adf3245638d1c0ff3ee3b412aa9a68508b37b03c69cbe31592dce","target":"record","created_at":"2026-05-18T01:57:33Z","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":"34ad1ee64b704c2eb40933a663d3d8ecfddc191b8ac6240bbb504ed6fb3150c0","cross_cats_sorted":["astro-ph.IM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-05-11T21:48:10Z","title_canon_sha256":"25bb96b8fbb04aa2ca54205530980ceb798d4f08cfebed1cec3f67c662edec41"},"schema_version":"1.0","source":{"id":"1205.2729","kind":"arxiv","version":3}},"canonical_sha256":"360806972750162ce726d189197485962b5f4a8137d36874a3790c714b69e51b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"360806972750162ce726d189197485962b5f4a8137d36874a3790c714b69e51b","first_computed_at":"2026-05-18T01:57:33.048152Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:57:33.048152Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2DrothFBqw1CGXSymct4T3rccgqaBfgnOsnt8j9SYql9jt9H68X71JOW7hCx1eWS52p6JoHZ1D27/Gd220U6DA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:57:33.048819Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.2729","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e0134ff9423adf3245638d1c0ff3ee3b412aa9a68508b37b03c69cbe31592dce","sha256:66300c65559cba6479737d5da7a31088ed0e5353cfda7a5fcc29e8b3d179b65e"],"state_sha256":"e155fb7341ad3e849b49e8ecac434a8e39ac0e39a81d0f1e92ec3306ad64e0dc"}