{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:7FC4E433I7FXR6DLRQO7DHGSQJ","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":"26b03f4c2e2edffe1eb30cfab62b2b1ba03455796b2f2ac8b51f3f05fa17465f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2015-06-23T09:14:02Z","title_canon_sha256":"b72d33d4da356baf9fe50bf4ae1041c6ba940e71fb65a68687f255bcc2406c17"},"schema_version":"1.0","source":{"id":"1506.06917","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.06917","created_at":"2026-05-18T01:20:19Z"},{"alias_kind":"arxiv_version","alias_value":"1506.06917v3","created_at":"2026-05-18T01:20:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.06917","created_at":"2026-05-18T01:20:19Z"},{"alias_kind":"pith_short_12","alias_value":"7FC4E433I7FX","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"7FC4E433I7FXR6DL","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"7FC4E433","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:6cf99e74df5f176c7213a4f1b20e1562eb86fc8c73815b727d4c97263f394a87","target":"graph","created_at":"2026-05-18T01:20:19Z","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":"We present Bill2d, a modern and efficient C++ package for classical simulations of two-dimensional Hamiltonian systems. Bill2d can be used for various billiard and diffusion problems with one or more charged particles with interactions, different external potentials, an external magnetic field, periodic and open boundaries, etc. The software package can also calculate many key quantities in complex systems such as Poincar\\'e sections, survival probabilities, and diffusion coefficients. While aiming at a large class of applicable systems, the code also strives for ease-of-use, efficiency, and m","authors_text":"Esa R\\\"as\\\"anen, Janne Solanp\\\"a\\\"a, Perttu Luukko","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2015-06-23T09:14:02Z","title":"Bill2d - a software package for classical two-dimensional Hamiltonian systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.06917","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":"sha256:522a50cb69d5ee684435e8c3bf364f3a18410c6d3bee4703aee7f19d74c6b35e","target":"record","created_at":"2026-05-18T01:20:19Z","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":"26b03f4c2e2edffe1eb30cfab62b2b1ba03455796b2f2ac8b51f3f05fa17465f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2015-06-23T09:14:02Z","title_canon_sha256":"b72d33d4da356baf9fe50bf4ae1041c6ba940e71fb65a68687f255bcc2406c17"},"schema_version":"1.0","source":{"id":"1506.06917","kind":"arxiv","version":3}},"canonical_sha256":"f945c2737b47cb78f86b8c1df19cd2824e7f11a5b828a8cadc2c7806ec427c30","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f945c2737b47cb78f86b8c1df19cd2824e7f11a5b828a8cadc2c7806ec427c30","first_computed_at":"2026-05-18T01:20:19.064978Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:19.064978Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"I1o44kL0MvTM8O58xKcxsZANFLm6Z3HkQ4f+z0ZpVJBDT/85HwB5ASOOthrG41qGMAe+tBTqpqcd8jkJ52qLCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:19.065601Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.06917","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:522a50cb69d5ee684435e8c3bf364f3a18410c6d3bee4703aee7f19d74c6b35e","sha256:6cf99e74df5f176c7213a4f1b20e1562eb86fc8c73815b727d4c97263f394a87"],"state_sha256":"f1b41327476afa79881499f9452c1c6ad76b21f6f835fc00b57626e3019e5798"}