{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:JSAQGKEZ32NWEWPR6K7B52Z74N","short_pith_number":"pith:JSAQGKEZ","canonical_record":{"source":{"id":"0905.1588","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-05-11T09:57:41Z","cross_cats_sorted":[],"title_canon_sha256":"b8444b5b64011247282f984e1e6281062d0cc7292f9c54202b24147f343129e3","abstract_canon_sha256":"9d8b4c711dc5a4dde93d65e761756fc640c4433e986df2059a644b5aa0d6433c"},"schema_version":"1.0"},"canonical_sha256":"4c81032899de9b6259f1f2be1eeb3fe343b785cf9bde9f9c2f5611d24611fcdb","source":{"kind":"arxiv","id":"0905.1588","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.1588","created_at":"2026-05-18T02:13:45Z"},{"alias_kind":"arxiv_version","alias_value":"0905.1588v1","created_at":"2026-05-18T02:13:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.1588","created_at":"2026-05-18T02:13:45Z"},{"alias_kind":"pith_short_12","alias_value":"JSAQGKEZ32NW","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"JSAQGKEZ32NWEWPR","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"JSAQGKEZ","created_at":"2026-05-18T12:26:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:JSAQGKEZ32NWEWPR6K7B52Z74N","target":"record","payload":{"canonical_record":{"source":{"id":"0905.1588","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-05-11T09:57:41Z","cross_cats_sorted":[],"title_canon_sha256":"b8444b5b64011247282f984e1e6281062d0cc7292f9c54202b24147f343129e3","abstract_canon_sha256":"9d8b4c711dc5a4dde93d65e761756fc640c4433e986df2059a644b5aa0d6433c"},"schema_version":"1.0"},"canonical_sha256":"4c81032899de9b6259f1f2be1eeb3fe343b785cf9bde9f9c2f5611d24611fcdb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:13:45.894120Z","signature_b64":"ov7QexRzkQfpWvnwq+s5cKBHjlmT2ZPFCRZZvmqOMFeEy/srmALmUFpN57ruDJbD8EAI66RFPxw61ho6bXD2Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4c81032899de9b6259f1f2be1eeb3fe343b785cf9bde9f9c2f5611d24611fcdb","last_reissued_at":"2026-05-18T02:13:45.893331Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:13:45.893331Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0905.1588","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":"2026-05-18T02:13:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V3Tgl5b5KrGOk4jF8tpU/OeM6qV+ktckKLLVdExz+dS0/qQi3Dw0KXKQoBqn2A2hhFsddJXJKEB8WPtvQDk5Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T13:27:46.904257Z"},"content_sha256":"d3009b5d5312a15572a7a027c149042c71312dc4cae6952273cadc106439abfb","schema_version":"1.0","event_id":"sha256:d3009b5d5312a15572a7a027c149042c71312dc4cae6952273cadc106439abfb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:JSAQGKEZ32NWEWPR6K7B52Z74N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-Markovian dynamics of clusters during nucleation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"2) ((1) Utrecht University, (2) Leiden University), G.T. Barkema (1, J. Kuipers (1)","submitted_at":"2009-05-11T09:57:41Z","abstract_excerpt":"Most theories of homogeneous nucleation are based on a Fokker-Planck-like description of the behavior of the mass of clusters. Here we will show that these approaches are incomplete for a large class of nucleating systems, as they assume the effective dynamics of the clusters to be Markovian, i.e., memoryless. We characterize these non-Markovian dynamics and show how this influences the dynamics of clusters during nucleation. Our results are validated by simulations of a three-dimensional Ising model with locally conserved magnetization."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.1588","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":""},"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":"2026-05-18T02:13:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HqhXwrQbTiVz2PNqfkhvfMEiOikBqCa2LePS96b4u/Enj5lgR9zbH760KpX9QOsDH/s0MTjfbjPj35mqrEJyDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T13:27:46.904623Z"},"content_sha256":"cda5156ff0656f11bdccf8974419bb2628b8fe579324f4bd954cf104c899c6b6","schema_version":"1.0","event_id":"sha256:cda5156ff0656f11bdccf8974419bb2628b8fe579324f4bd954cf104c899c6b6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JSAQGKEZ32NWEWPR6K7B52Z74N/bundle.json","state_url":"https://pith.science/pith/JSAQGKEZ32NWEWPR6K7B52Z74N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JSAQGKEZ32NWEWPR6K7B52Z74N/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":"2026-06-22T13:27:46Z","links":{"resolver":"https://pith.science/pith/JSAQGKEZ32NWEWPR6K7B52Z74N","bundle":"https://pith.science/pith/JSAQGKEZ32NWEWPR6K7B52Z74N/bundle.json","state":"https://pith.science/pith/JSAQGKEZ32NWEWPR6K7B52Z74N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JSAQGKEZ32NWEWPR6K7B52Z74N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:JSAQGKEZ32NWEWPR6K7B52Z74N","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":"9d8b4c711dc5a4dde93d65e761756fc640c4433e986df2059a644b5aa0d6433c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-05-11T09:57:41Z","title_canon_sha256":"b8444b5b64011247282f984e1e6281062d0cc7292f9c54202b24147f343129e3"},"schema_version":"1.0","source":{"id":"0905.1588","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.1588","created_at":"2026-05-18T02:13:45Z"},{"alias_kind":"arxiv_version","alias_value":"0905.1588v1","created_at":"2026-05-18T02:13:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.1588","created_at":"2026-05-18T02:13:45Z"},{"alias_kind":"pith_short_12","alias_value":"JSAQGKEZ32NW","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"JSAQGKEZ32NWEWPR","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"JSAQGKEZ","created_at":"2026-05-18T12:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:cda5156ff0656f11bdccf8974419bb2628b8fe579324f4bd954cf104c899c6b6","target":"graph","created_at":"2026-05-18T02:13:45Z","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":"Most theories of homogeneous nucleation are based on a Fokker-Planck-like description of the behavior of the mass of clusters. Here we will show that these approaches are incomplete for a large class of nucleating systems, as they assume the effective dynamics of the clusters to be Markovian, i.e., memoryless. We characterize these non-Markovian dynamics and show how this influences the dynamics of clusters during nucleation. Our results are validated by simulations of a three-dimensional Ising model with locally conserved magnetization.","authors_text":"2) ((1) Utrecht University, (2) Leiden University), G.T. Barkema (1, J. Kuipers (1)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-05-11T09:57:41Z","title":"Non-Markovian dynamics of clusters during nucleation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.1588","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:d3009b5d5312a15572a7a027c149042c71312dc4cae6952273cadc106439abfb","target":"record","created_at":"2026-05-18T02:13:45Z","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":"9d8b4c711dc5a4dde93d65e761756fc640c4433e986df2059a644b5aa0d6433c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-05-11T09:57:41Z","title_canon_sha256":"b8444b5b64011247282f984e1e6281062d0cc7292f9c54202b24147f343129e3"},"schema_version":"1.0","source":{"id":"0905.1588","kind":"arxiv","version":1}},"canonical_sha256":"4c81032899de9b6259f1f2be1eeb3fe343b785cf9bde9f9c2f5611d24611fcdb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4c81032899de9b6259f1f2be1eeb3fe343b785cf9bde9f9c2f5611d24611fcdb","first_computed_at":"2026-05-18T02:13:45.893331Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:13:45.893331Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ov7QexRzkQfpWvnwq+s5cKBHjlmT2ZPFCRZZvmqOMFeEy/srmALmUFpN57ruDJbD8EAI66RFPxw61ho6bXD2Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:13:45.894120Z","signed_message":"canonical_sha256_bytes"},"source_id":"0905.1588","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d3009b5d5312a15572a7a027c149042c71312dc4cae6952273cadc106439abfb","sha256:cda5156ff0656f11bdccf8974419bb2628b8fe579324f4bd954cf104c899c6b6"],"state_sha256":"3e77f9d8d886d74d81099d36a435c925861e9db63e44dc9f51a97ac03db00181"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"top+lUo9mqwmo/5U/nMBc4mlx/UVK3xLwErypERvyrwsWG9duobpq8q6PXvAgBK4s+wxntqupX5L8ekrJ/fKAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T13:27:46.906631Z","bundle_sha256":"b712385b2acbed6ba00b9aaa893063f57b56bc155bb9d19f76cf2185053e1c8f"}}