{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:G6MIFS2IHBJLMORKGSFLITU2HL","short_pith_number":"pith:G6MIFS2I","canonical_record":{"source":{"id":"2504.03215","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-04-04T07:03:21Z","cross_cats_sorted":["cond-mat.stat-mech","cs.NA","q-bio.QM"],"title_canon_sha256":"9dabbb4fa61712a92c62eab041cf549412078e1cf47ab57cfadb26e4f281b806","abstract_canon_sha256":"a353b50c880c2e9dd4a7fa2225d02a1851c3891554cfb3f2ddce2e185ed8f997"},"schema_version":"1.0"},"canonical_sha256":"379882cb483852b63a2a348ab44e9a3aeb28722013843574490d2fa2b81e1fe7","source":{"kind":"arxiv","id":"2504.03215","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.03215","created_at":"2026-07-05T10:44:28Z"},{"alias_kind":"arxiv_version","alias_value":"2504.03215v1","created_at":"2026-07-05T10:44:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.03215","created_at":"2026-07-05T10:44:28Z"},{"alias_kind":"pith_short_12","alias_value":"G6MIFS2IHBJL","created_at":"2026-07-05T10:44:28Z"},{"alias_kind":"pith_short_16","alias_value":"G6MIFS2IHBJLMORK","created_at":"2026-07-05T10:44:28Z"},{"alias_kind":"pith_short_8","alias_value":"G6MIFS2I","created_at":"2026-07-05T10:44:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:G6MIFS2IHBJLMORKGSFLITU2HL","target":"record","payload":{"canonical_record":{"source":{"id":"2504.03215","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-04-04T07:03:21Z","cross_cats_sorted":["cond-mat.stat-mech","cs.NA","q-bio.QM"],"title_canon_sha256":"9dabbb4fa61712a92c62eab041cf549412078e1cf47ab57cfadb26e4f281b806","abstract_canon_sha256":"a353b50c880c2e9dd4a7fa2225d02a1851c3891554cfb3f2ddce2e185ed8f997"},"schema_version":"1.0"},"canonical_sha256":"379882cb483852b63a2a348ab44e9a3aeb28722013843574490d2fa2b81e1fe7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:44:28.042609Z","signature_b64":"h2MVDK68QGV6U/pD/2h0EuYIj4cfv1QMB5nTIAmleaWr7RIkYByqSJ3v8yma+GDYBvOba6q3+Y7ZPv0/h50ADw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"379882cb483852b63a2a348ab44e9a3aeb28722013843574490d2fa2b81e1fe7","last_reissued_at":"2026-07-05T10:44:28.042131Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:44:28.042131Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2504.03215","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:44:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mo3gqMKslJ/GRXzFnoXjwVmnVtj+IixG0Q3ylCJEpUHhA5mCDTD0QMHbFIFGBKT6IRtKJc/M3IwuDSD46iAmCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T20:43:55.856698Z"},"content_sha256":"070c61b4c829cbf60c487c7de500c3a66cba53255ff41f085908e8288e74551b","schema_version":"1.0","event_id":"sha256:070c61b4c829cbf60c487c7de500c3a66cba53255ff41f085908e8288e74551b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:G6MIFS2IHBJLMORKGSFLITU2HL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Accurate stochastic simulation of nonlinear reactions between closest particles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cs.NA","q-bio.QM"],"primary_cat":"math.NA","authors_text":"Mark B. Flegg, Ricardo Ruiz-Baier, Taylor Kearney","submitted_at":"2025-04-04T07:03:21Z","abstract_excerpt":"We study a system of diffusing point particles in which any triplet of particles reacts and is removed from the system when the relative proximity of the constituent particles satisfies a predefined condition. Proximity-based reaction conditions of this kind are commonly used in particle-based simulations of chemical kinetics to mimic bimolecular reactions, those involving just two reactants, and have been extensively studied. The rate at which particles react within the system is determined by the reaction condition and particulate diffusion. In the bimolecular case, analytic relations exist "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.03215","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/2504.03215/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:44:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q83LGJ9uFp7vNuCeNKcZVMxmtSIw7Hc3lo0UZVZSDUKgG1ARZmRXjpP9cCec1ulSy72CTFtd9fMZxnypMFJNCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T20:43:55.857201Z"},"content_sha256":"6bd272fe8d6e8da09dd138a847c288d18160b3f6f7ae8320baa703a6a4dcf0c5","schema_version":"1.0","event_id":"sha256:6bd272fe8d6e8da09dd138a847c288d18160b3f6f7ae8320baa703a6a4dcf0c5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/G6MIFS2IHBJLMORKGSFLITU2HL/bundle.json","state_url":"https://pith.science/pith/G6MIFS2IHBJLMORKGSFLITU2HL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/G6MIFS2IHBJLMORKGSFLITU2HL/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":"2026-08-22T20:43:55Z","links":{"resolver":"https://pith.science/pith/G6MIFS2IHBJLMORKGSFLITU2HL","bundle":"https://pith.science/pith/G6MIFS2IHBJLMORKGSFLITU2HL/bundle.json","state":"https://pith.science/pith/G6MIFS2IHBJLMORKGSFLITU2HL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/G6MIFS2IHBJLMORKGSFLITU2HL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:G6MIFS2IHBJLMORKGSFLITU2HL","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":"a353b50c880c2e9dd4a7fa2225d02a1851c3891554cfb3f2ddce2e185ed8f997","cross_cats_sorted":["cond-mat.stat-mech","cs.NA","q-bio.QM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-04-04T07:03:21Z","title_canon_sha256":"9dabbb4fa61712a92c62eab041cf549412078e1cf47ab57cfadb26e4f281b806"},"schema_version":"1.0","source":{"id":"2504.03215","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.03215","created_at":"2026-07-05T10:44:28Z"},{"alias_kind":"arxiv_version","alias_value":"2504.03215v1","created_at":"2026-07-05T10:44:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.03215","created_at":"2026-07-05T10:44:28Z"},{"alias_kind":"pith_short_12","alias_value":"G6MIFS2IHBJL","created_at":"2026-07-05T10:44:28Z"},{"alias_kind":"pith_short_16","alias_value":"G6MIFS2IHBJLMORK","created_at":"2026-07-05T10:44:28Z"},{"alias_kind":"pith_short_8","alias_value":"G6MIFS2I","created_at":"2026-07-05T10:44:28Z"}],"graph_snapshots":[{"event_id":"sha256:6bd272fe8d6e8da09dd138a847c288d18160b3f6f7ae8320baa703a6a4dcf0c5","target":"graph","created_at":"2026-07-05T10:44:28Z","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/2504.03215/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study a system of diffusing point particles in which any triplet of particles reacts and is removed from the system when the relative proximity of the constituent particles satisfies a predefined condition. Proximity-based reaction conditions of this kind are commonly used in particle-based simulations of chemical kinetics to mimic bimolecular reactions, those involving just two reactants, and have been extensively studied. The rate at which particles react within the system is determined by the reaction condition and particulate diffusion. In the bimolecular case, analytic relations exist ","authors_text":"Mark B. Flegg, Ricardo Ruiz-Baier, Taylor Kearney","cross_cats":["cond-mat.stat-mech","cs.NA","q-bio.QM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-04-04T07:03:21Z","title":"Accurate stochastic simulation of nonlinear reactions between closest particles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.03215","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":"sha256:070c61b4c829cbf60c487c7de500c3a66cba53255ff41f085908e8288e74551b","target":"record","created_at":"2026-07-05T10:44:28Z","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":"a353b50c880c2e9dd4a7fa2225d02a1851c3891554cfb3f2ddce2e185ed8f997","cross_cats_sorted":["cond-mat.stat-mech","cs.NA","q-bio.QM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-04-04T07:03:21Z","title_canon_sha256":"9dabbb4fa61712a92c62eab041cf549412078e1cf47ab57cfadb26e4f281b806"},"schema_version":"1.0","source":{"id":"2504.03215","kind":"arxiv","version":1}},"canonical_sha256":"379882cb483852b63a2a348ab44e9a3aeb28722013843574490d2fa2b81e1fe7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"379882cb483852b63a2a348ab44e9a3aeb28722013843574490d2fa2b81e1fe7","first_computed_at":"2026-07-05T10:44:28.042131Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:44:28.042131Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"h2MVDK68QGV6U/pD/2h0EuYIj4cfv1QMB5nTIAmleaWr7RIkYByqSJ3v8yma+GDYBvOba6q3+Y7ZPv0/h50ADw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:44:28.042609Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.03215","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:070c61b4c829cbf60c487c7de500c3a66cba53255ff41f085908e8288e74551b","sha256:6bd272fe8d6e8da09dd138a847c288d18160b3f6f7ae8320baa703a6a4dcf0c5"],"state_sha256":"f05ca7ed8bf12e07c7041c44107f9b8374572298cae79a5832792a37d15686b8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/0bELB5bUsCMe+72lWfWqZlSlwsGINXG2V9BgWyf+jAhI3+e0TvlFzVm6+PYb27C6d12MKEIY78jw5jGcDKECQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-22T20:43:55.860978Z","bundle_sha256":"ec0de935f8ce2c3b938e04933a72efab521a0644e6c43ffc352ebf61d0157152"}}