{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:HVDKLLZFOGKLN2WA4TKDTV5D5T","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":"cde83364646bc0d1a64bb598a910c6e94db61166a2500fbd4b5b926ad3443fbd","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"1996-09-10T07:48:51Z","title_canon_sha256":"d9603ec9231a0aadd94356b18cf79283c3adb901c4bd0d23615b967461fad7aa"},"schema_version":"1.0","source":{"id":"cond-mat/9609088","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9609088","created_at":"2026-05-18T01:07:09Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9609088v1","created_at":"2026-05-18T01:07:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9609088","created_at":"2026-05-18T01:07:09Z"},{"alias_kind":"pith_short_12","alias_value":"HVDKLLZFOGKL","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"HVDKLLZFOGKLN2WA","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"HVDKLLZF","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:ed9aad29422395a5b6219ee311938da0da9fa8fe5df9b58ba4582e2afbb0bf75","target":"graph","created_at":"2026-05-18T01:07:09Z","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 study a class of reaction-diffusion model extrapolating continuously between the pure coagulation-diffusion case ($A+A\\to A$) and the pure annihilation-diffusion one ($A+A\\to\\emptyset$) with particles input ($\\emptyset\\to A$) at a rate $J$. For dimension $d\\leq 2$, the dynamics strongly depends on the fluctuations while, for $d >2$, the behaviour is mean-field like. The models are mapped onto a field theory which properties are studied in a renormalization group approach. Simple relations are found between the time-dependent correlation functions of the different models of the class.  For t","authors_text":"Michel Droz (University of Geneva), Pierre-Antoine Rey","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat","submitted_at":"1996-09-10T07:48:51Z","title":"A renormalization group study of a class of reaction-diffusion model, with particles input"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9609088","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":"sha256:2716b6ae8b88a664bc8b62cd8235108660598cd556bf377f740269c7767ee97c","target":"record","created_at":"2026-05-18T01:07:09Z","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":"cde83364646bc0d1a64bb598a910c6e94db61166a2500fbd4b5b926ad3443fbd","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"1996-09-10T07:48:51Z","title_canon_sha256":"d9603ec9231a0aadd94356b18cf79283c3adb901c4bd0d23615b967461fad7aa"},"schema_version":"1.0","source":{"id":"cond-mat/9609088","kind":"arxiv","version":1}},"canonical_sha256":"3d46a5af257194b6eac0e4d439d7a3ecdba10bddd531985e1ec77ad496d78e65","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3d46a5af257194b6eac0e4d439d7a3ecdba10bddd531985e1ec77ad496d78e65","first_computed_at":"2026-05-18T01:07:09.417848Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:07:09.417848Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RVv3jj8LnuTuf+heeG+wzx6jbt6Z4Ql1BhUIIwQEQfQ+0JsmMEjC1OVz4DIMqknlwTOQZA2oO2QT4qFNl9CMCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:07:09.418255Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/9609088","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2716b6ae8b88a664bc8b62cd8235108660598cd556bf377f740269c7767ee97c","sha256:ed9aad29422395a5b6219ee311938da0da9fa8fe5df9b58ba4582e2afbb0bf75"],"state_sha256":"afd6dff74fab294b094b192a14a32d6f6a7d4e1cdecaa430862dc0302843e0f5"}