{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1992:IMZKJUDIZIQE6VOYPT52GMU6S3","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":"8734b55e0660254e3a23219e05f52f52d843120dcb1f6151726f544ec61972ae","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"1992-07-15T14:40:34Z","title_canon_sha256":"ca650bffdcfa0760d1559e639d5909b9c1ab5b8162cd1f58aef45ebda42353c3"},"schema_version":"1.0","source":{"id":"cond-mat/9207015","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9207015","created_at":"2026-05-18T02:40:19Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9207015v1","created_at":"2026-05-18T02:40:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9207015","created_at":"2026-05-18T02:40:19Z"},{"alias_kind":"pith_short_12","alias_value":"IMZKJUDIZIQE","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"IMZKJUDIZIQE6VOY","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"IMZKJUDI","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:26859aad0ffc04ac94b66a67f50db20af2de63aef1e979d90f28469303d10c7c","target":"graph","created_at":"2026-05-18T02:40:19Z","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 derive an improved mean-field approximation for k-body annihilation reactions kA --> inert, for hard-core diffusing particles on a line, annihilating in groups of k neighbors with probability 0 < q <= 1. The hopping and annihilation processes are correlated to mimic chemical reactions. Our new mean-field theory accounts for hard-core particle properties and has a larger region of applicability than the standard chemical rate equation especially for large k values. Criteria for validity of the mean-field theory and its use in phenomenological data fits are derived. Numerical tests are report","authors_text":"M. D. Grynberg, V. Privman","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat","submitted_at":"1992-07-15T14:40:34Z","title":"Fast-diffusion mean-field theory for k-body reactions in one dimension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9207015","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":"sha256:439947f5855d06215601c71ed79a199d5094719eceaee41254be3aeb55b097c8","target":"record","created_at":"2026-05-18T02:40:19Z","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":"8734b55e0660254e3a23219e05f52f52d843120dcb1f6151726f544ec61972ae","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"1992-07-15T14:40:34Z","title_canon_sha256":"ca650bffdcfa0760d1559e639d5909b9c1ab5b8162cd1f58aef45ebda42353c3"},"schema_version":"1.0","source":{"id":"cond-mat/9207015","kind":"arxiv","version":1}},"canonical_sha256":"4332a4d068ca204f55d87cfba3329e96f315143ce756df1a3cef30a44185075d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4332a4d068ca204f55d87cfba3329e96f315143ce756df1a3cef30a44185075d","first_computed_at":"2026-05-18T02:40:19.330835Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:40:19.330835Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2LWgurEyYpFoKzZIPnV4D/AydlZCGyWymxzWJ7NuNj/FWUpRjaPs3nuW8Qv813hXuOHiUNBRkLGj+HB0P/TQDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:40:19.331282Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/9207015","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:439947f5855d06215601c71ed79a199d5094719eceaee41254be3aeb55b097c8","sha256:26859aad0ffc04ac94b66a67f50db20af2de63aef1e979d90f28469303d10c7c"],"state_sha256":"22d081f8db0d35d4df360f411ac918cbbdd3dda9e085260a12cc628ee0d8f4c0"}