{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:TNNXF6W374BUDBVB6O267V4FEV","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":"83542d7b734c3985305c2270d80db82157c02bb29e7962af2372fb3db8746470","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"1995-03-12T17:00:54Z","title_canon_sha256":"5dc5f91e893ee8ba23b9823b28d5e6e7b54f1bb676b4cf5a749a27e08f4764c3"},"schema_version":"1.0","source":{"id":"cond-mat/9503064","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9503064","created_at":"2026-05-18T04:40:34Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9503064v1","created_at":"2026-05-18T04:40:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9503064","created_at":"2026-05-18T04:40:34Z"},{"alias_kind":"pith_short_12","alias_value":"TNNXF6W374BU","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"TNNXF6W374BUDBVB","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"TNNXF6W3","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:4c08a2699a63916fc65f89271cf57e5bf9aaf195e7c647b3fb159022b4242e5d","target":"graph","created_at":"2026-05-18T04:40:34Z","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 report exact results for one-dimensional reaction-diffusion models A+A -> inert, A+A -> A, and A+B -> inert, where in the latter case like particles coagulate on encounters and move as clusters. Our study emphasized anisotropy of hopping rates; no changes in universal properties were found, due to anisotropy, in all three reactions. The method of solution employed mapping onto a model of coagulating positive integer charges. The dynamical rules were synchronous, cellular-automaton type. All the asymptotic large-time results for particle densities were consistent, in the framework of univers","authors_text":"Antonio M.R. Cadilhe, M. Lawrence Glasser, Vladimir Privman","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat","submitted_at":"1995-03-12T17:00:54Z","title":"Exact Solutions of Anisotropic Diffusion-Limited Reactions with Coagulation and Annihilation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9503064","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":"sha256:9a144ad0739e1700fae24f016d847edbf8c61a72fdd9ed78afed739f7554c930","target":"record","created_at":"2026-05-18T04:40:34Z","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":"83542d7b734c3985305c2270d80db82157c02bb29e7962af2372fb3db8746470","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"1995-03-12T17:00:54Z","title_canon_sha256":"5dc5f91e893ee8ba23b9823b28d5e6e7b54f1bb676b4cf5a749a27e08f4764c3"},"schema_version":"1.0","source":{"id":"cond-mat/9503064","kind":"arxiv","version":1}},"canonical_sha256":"9b5b72fadbff034186a1f3b5efd785257ca56464c9f87f3149023e3e262dd474","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9b5b72fadbff034186a1f3b5efd785257ca56464c9f87f3149023e3e262dd474","first_computed_at":"2026-05-18T04:40:34.323607Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:40:34.323607Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"So2bNBfJ79h6A38uAV8fLuuvazRZVPnE6lN6Pvt+UkAM2g8J8I8I+orVZFvBKv6DoOAX1eKwviKSOye4z3jNCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:40:34.324240Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/9503064","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9a144ad0739e1700fae24f016d847edbf8c61a72fdd9ed78afed739f7554c930","sha256:4c08a2699a63916fc65f89271cf57e5bf9aaf195e7c647b3fb159022b4242e5d"],"state_sha256":"5b4a9a7e2b55adea10148c27d069e9ad10a1b72fe03cde1c51f250d3742bb0b3"}