{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:NON62K6JUYDYMK444QDX7GOKQR","short_pith_number":"pith:NON62K6J","canonical_record":{"source":{"id":"cond-mat/0503627","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2005-03-26T16:15:36Z","cross_cats_sorted":["cs.DS","math.DS"],"title_canon_sha256":"ff41d108c185fde3afb6569e458b4c541074f9def4c8164ef54c8b88072f05c0","abstract_canon_sha256":"87743a1d5f14938aef4c916cd5e65ea0e7b39fdff0b7f71d9b31dad95f01d4ab"},"schema_version":"1.0"},"canonical_sha256":"6b9bed2bc9a607862b9ce4077f99ca8462423967426fde33f258eab6b86e1f1e","source":{"kind":"arxiv","id":"cond-mat/0503627","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0503627","created_at":"2026-05-18T01:39:53Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0503627v2","created_at":"2026-05-18T01:39:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0503627","created_at":"2026-05-18T01:39:53Z"},{"alias_kind":"pith_short_12","alias_value":"NON62K6JUYDY","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"NON62K6JUYDYMK44","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"NON62K6J","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:NON62K6JUYDYMK444QDX7GOKQR","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0503627","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2005-03-26T16:15:36Z","cross_cats_sorted":["cs.DS","math.DS"],"title_canon_sha256":"ff41d108c185fde3afb6569e458b4c541074f9def4c8164ef54c8b88072f05c0","abstract_canon_sha256":"87743a1d5f14938aef4c916cd5e65ea0e7b39fdff0b7f71d9b31dad95f01d4ab"},"schema_version":"1.0"},"canonical_sha256":"6b9bed2bc9a607862b9ce4077f99ca8462423967426fde33f258eab6b86e1f1e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:53.452197Z","signature_b64":"iF6iPTK/LggRsGza8FfPQFZo14pll0fx2+w1bZNB0v8pTJPBvBenliQy5jxwqHUZ6a1QurJVYx8IHmdHXlkIBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6b9bed2bc9a607862b9ce4077f99ca8462423967426fde33f258eab6b86e1f1e","last_reissued_at":"2026-05-18T01:39:53.451718Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:53.451718Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0503627","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:39:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/6TIY6bvaMY6vytbAgl1YmdAafowFZUCK7upI6+uQELlNEnCKAj2LWYaiJaTJPXeVOQWVH5EgSi3q9RndybOBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T15:48:37.460552Z"},"content_sha256":"ae0ae49df96c1d3e3c25b1bd1f9f7f80491bd80585627c440033f1127fdd4f84","schema_version":"1.0","event_id":"sha256:ae0ae49df96c1d3e3c25b1bd1f9f7f80491bd80585627c440033f1127fdd4f84"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:NON62K6JUYDYMK444QDX7GOKQR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"How to Simulate Billiards and Similar Systems","license":"","headline":"","cross_cats":["cs.DS","math.DS"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Boris D. Lubachevsky","submitted_at":"2005-03-26T16:15:36Z","abstract_excerpt":"An N-component continuous-time dynamic system is considered whose components evolve autonomously all the time except for in discrete asynchronous instances of pairwise interactions. Examples include chaotically colliding billiard balls and combat models. A new efficient serial event-driven algorithm is described for simulating such systems. Rather than maintaining and updating the global state of the system, the algorithm tries to examine only essential events, i.e., component interactions. The events are processed in a non-decreasing order of time; new interactions are scheduled on the basis "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0503627","kind":"arxiv","version":2},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:39:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FH+aa6bzUbx5aY/G5PRk4gqGP+VoDZ1/xcL06jr2IJWwycLHVwYLCz7KxKscKPQ/IUMtvFtkB2qFTn6m2OanDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T15:48:37.460900Z"},"content_sha256":"878a33d69fe4e3ffd763d10c2154a4d1de2cc8b02796542df73a93153a4f481d","schema_version":"1.0","event_id":"sha256:878a33d69fe4e3ffd763d10c2154a4d1de2cc8b02796542df73a93153a4f481d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NON62K6JUYDYMK444QDX7GOKQR/bundle.json","state_url":"https://pith.science/pith/NON62K6JUYDYMK444QDX7GOKQR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NON62K6JUYDYMK444QDX7GOKQR/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-23T15:48:37Z","links":{"resolver":"https://pith.science/pith/NON62K6JUYDYMK444QDX7GOKQR","bundle":"https://pith.science/pith/NON62K6JUYDYMK444QDX7GOKQR/bundle.json","state":"https://pith.science/pith/NON62K6JUYDYMK444QDX7GOKQR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NON62K6JUYDYMK444QDX7GOKQR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:NON62K6JUYDYMK444QDX7GOKQR","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":"87743a1d5f14938aef4c916cd5e65ea0e7b39fdff0b7f71d9b31dad95f01d4ab","cross_cats_sorted":["cs.DS","math.DS"],"license":"","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2005-03-26T16:15:36Z","title_canon_sha256":"ff41d108c185fde3afb6569e458b4c541074f9def4c8164ef54c8b88072f05c0"},"schema_version":"1.0","source":{"id":"cond-mat/0503627","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0503627","created_at":"2026-05-18T01:39:53Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0503627v2","created_at":"2026-05-18T01:39:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0503627","created_at":"2026-05-18T01:39:53Z"},{"alias_kind":"pith_short_12","alias_value":"NON62K6JUYDY","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"NON62K6JUYDYMK44","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"NON62K6J","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:878a33d69fe4e3ffd763d10c2154a4d1de2cc8b02796542df73a93153a4f481d","target":"graph","created_at":"2026-05-18T01:39:53Z","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":"An N-component continuous-time dynamic system is considered whose components evolve autonomously all the time except for in discrete asynchronous instances of pairwise interactions. Examples include chaotically colliding billiard balls and combat models. A new efficient serial event-driven algorithm is described for simulating such systems. Rather than maintaining and updating the global state of the system, the algorithm tries to examine only essential events, i.e., component interactions. The events are processed in a non-decreasing order of time; new interactions are scheduled on the basis ","authors_text":"Boris D. Lubachevsky","cross_cats":["cs.DS","math.DS"],"headline":"","license":"","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2005-03-26T16:15:36Z","title":"How to Simulate Billiards and Similar Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0503627","kind":"arxiv","version":2},"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:ae0ae49df96c1d3e3c25b1bd1f9f7f80491bd80585627c440033f1127fdd4f84","target":"record","created_at":"2026-05-18T01:39:53Z","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":"87743a1d5f14938aef4c916cd5e65ea0e7b39fdff0b7f71d9b31dad95f01d4ab","cross_cats_sorted":["cs.DS","math.DS"],"license":"","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2005-03-26T16:15:36Z","title_canon_sha256":"ff41d108c185fde3afb6569e458b4c541074f9def4c8164ef54c8b88072f05c0"},"schema_version":"1.0","source":{"id":"cond-mat/0503627","kind":"arxiv","version":2}},"canonical_sha256":"6b9bed2bc9a607862b9ce4077f99ca8462423967426fde33f258eab6b86e1f1e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6b9bed2bc9a607862b9ce4077f99ca8462423967426fde33f258eab6b86e1f1e","first_computed_at":"2026-05-18T01:39:53.451718Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:53.451718Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iF6iPTK/LggRsGza8FfPQFZo14pll0fx2+w1bZNB0v8pTJPBvBenliQy5jxwqHUZ6a1QurJVYx8IHmdHXlkIBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:53.452197Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0503627","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ae0ae49df96c1d3e3c25b1bd1f9f7f80491bd80585627c440033f1127fdd4f84","sha256:878a33d69fe4e3ffd763d10c2154a4d1de2cc8b02796542df73a93153a4f481d"],"state_sha256":"78ac867e297232726f002d9bf9b1f4cb7b21407e659397541e0f41078e921d44"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OUT97XE10D7YuSgP0H+nxuKt8GbGrtTQkcLhp8n4aGHi6pfsyhevkjVtQZDJRQqcHnJjNZ0idc8Kjf+D31S0Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T15:48:37.462868Z","bundle_sha256":"a36c37493b03fceb5a5cc9a6b784a6c9d6f4f8c2c1c56e5d550b1c1523dc00d7"}}