{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1996:6EYBM5T7WZAHMPOO2CWOIOIXYG","short_pith_number":"pith:6EYBM5T7","canonical_record":{"source":{"id":"cond-mat/9606224","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"1996-07-01T02:43:55Z","cross_cats_sorted":[],"title_canon_sha256":"28ed569b04696ab2a59e5324580256dae5e52a9b266f7b3ece21f64808eb3a60","abstract_canon_sha256":"7dc345627b9576d5e34694918527959effff6ae840dbec3083ae5233a9337225"},"schema_version":"1.0"},"canonical_sha256":"f13016767fb640763dced0ace43917c1b7a51816ea4e5e493cb282800a65aee5","source":{"kind":"arxiv","id":"cond-mat/9606224","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9606224","created_at":"2026-05-18T04:39:29Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9606224v1","created_at":"2026-05-18T04:39:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9606224","created_at":"2026-05-18T04:39:29Z"},{"alias_kind":"pith_short_12","alias_value":"6EYBM5T7WZAH","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"6EYBM5T7WZAHMPOO","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"6EYBM5T7","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1996:6EYBM5T7WZAHMPOO2CWOIOIXYG","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/9606224","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"1996-07-01T02:43:55Z","cross_cats_sorted":[],"title_canon_sha256":"28ed569b04696ab2a59e5324580256dae5e52a9b266f7b3ece21f64808eb3a60","abstract_canon_sha256":"7dc345627b9576d5e34694918527959effff6ae840dbec3083ae5233a9337225"},"schema_version":"1.0"},"canonical_sha256":"f13016767fb640763dced0ace43917c1b7a51816ea4e5e493cb282800a65aee5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:39:29.145128Z","signature_b64":"hCTlitJg2MkoEVkkM4MSL7agSAdwgJArW6QoLISH2ozTmSrfE6rQJ6WtgCpdyBjIGfOcDpWEPZYXJF5RIuM4BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f13016767fb640763dced0ace43917c1b7a51816ea4e5e493cb282800a65aee5","last_reissued_at":"2026-05-18T04:39:29.144606Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:39:29.144606Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/9606224","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":"2026-05-18T04:39:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EI+eFrydWsDGI0cz0L37fpKcW9/fU12XEFnM3HdAOM132SCrLwDirG9ABHOgjZALJcMVJE1gC768DLPfeVjJDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T22:12:45.667075Z"},"content_sha256":"2bf1b50bd52f992629a0c355a8c7f413ade2a30c09cf08641258a3dd627ef0e8","schema_version":"1.0","event_id":"sha256:2bf1b50bd52f992629a0c355a8c7f413ade2a30c09cf08641258a3dd627ef0e8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1996:6EYBM5T7WZAHMPOO2CWOIOIXYG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact Solutions of Low-Dimensional Reaction-Diffusion Systems","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"Antonio M.R. Cadilhe, M. Lawrence Glasser, Vladimir Privman","submitted_at":"1996-07-01T02:43:55Z","abstract_excerpt":"We briefly review some common diffusion-limited reactions with emphasis on results for two-species reactions with anisotropic hopping. Our review also covers single-species reactions. The scope is that of providing reference and general discussion rather than details of methods and results. Recent exact results for a two-species model with anisotropic hopping and with `sticky' interaction of like particles, obtained by a novel method which allows exact solution of certain single-species and two-species reactions, are discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9606224","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":"2026-05-18T04:39:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gJ6yHPweNX1pBCzTBV5oKAQsg/vc6+vFYW9GXgwy46hrInc0h0oGaTDAZ/psrQjUA3nug7QAPabTfxGQDJvLAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T22:12:45.667883Z"},"content_sha256":"6fa359886f21066a43458d06fee22bbfed6f2d6734112a351c5698253016a548","schema_version":"1.0","event_id":"sha256:6fa359886f21066a43458d06fee22bbfed6f2d6734112a351c5698253016a548"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6EYBM5T7WZAHMPOO2CWOIOIXYG/bundle.json","state_url":"https://pith.science/pith/6EYBM5T7WZAHMPOO2CWOIOIXYG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6EYBM5T7WZAHMPOO2CWOIOIXYG/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":"2026-05-31T22:12:45Z","links":{"resolver":"https://pith.science/pith/6EYBM5T7WZAHMPOO2CWOIOIXYG","bundle":"https://pith.science/pith/6EYBM5T7WZAHMPOO2CWOIOIXYG/bundle.json","state":"https://pith.science/pith/6EYBM5T7WZAHMPOO2CWOIOIXYG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6EYBM5T7WZAHMPOO2CWOIOIXYG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:6EYBM5T7WZAHMPOO2CWOIOIXYG","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":"7dc345627b9576d5e34694918527959effff6ae840dbec3083ae5233a9337225","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"1996-07-01T02:43:55Z","title_canon_sha256":"28ed569b04696ab2a59e5324580256dae5e52a9b266f7b3ece21f64808eb3a60"},"schema_version":"1.0","source":{"id":"cond-mat/9606224","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9606224","created_at":"2026-05-18T04:39:29Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9606224v1","created_at":"2026-05-18T04:39:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9606224","created_at":"2026-05-18T04:39:29Z"},{"alias_kind":"pith_short_12","alias_value":"6EYBM5T7WZAH","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"6EYBM5T7WZAHMPOO","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"6EYBM5T7","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:6fa359886f21066a43458d06fee22bbfed6f2d6734112a351c5698253016a548","target":"graph","created_at":"2026-05-18T04:39:29Z","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 briefly review some common diffusion-limited reactions with emphasis on results for two-species reactions with anisotropic hopping. Our review also covers single-species reactions. The scope is that of providing reference and general discussion rather than details of methods and results. Recent exact results for a two-species model with anisotropic hopping and with `sticky' interaction of like particles, obtained by a novel method which allows exact solution of certain single-species and two-species reactions, are discussed.","authors_text":"Antonio M.R. Cadilhe, M. Lawrence Glasser, Vladimir Privman","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat","submitted_at":"1996-07-01T02:43:55Z","title":"Exact Solutions of Low-Dimensional Reaction-Diffusion Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9606224","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":"sha256:2bf1b50bd52f992629a0c355a8c7f413ade2a30c09cf08641258a3dd627ef0e8","target":"record","created_at":"2026-05-18T04:39:29Z","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":"7dc345627b9576d5e34694918527959effff6ae840dbec3083ae5233a9337225","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"1996-07-01T02:43:55Z","title_canon_sha256":"28ed569b04696ab2a59e5324580256dae5e52a9b266f7b3ece21f64808eb3a60"},"schema_version":"1.0","source":{"id":"cond-mat/9606224","kind":"arxiv","version":1}},"canonical_sha256":"f13016767fb640763dced0ace43917c1b7a51816ea4e5e493cb282800a65aee5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f13016767fb640763dced0ace43917c1b7a51816ea4e5e493cb282800a65aee5","first_computed_at":"2026-05-18T04:39:29.144606Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:39:29.144606Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hCTlitJg2MkoEVkkM4MSL7agSAdwgJArW6QoLISH2ozTmSrfE6rQJ6WtgCpdyBjIGfOcDpWEPZYXJF5RIuM4BA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:39:29.145128Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/9606224","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2bf1b50bd52f992629a0c355a8c7f413ade2a30c09cf08641258a3dd627ef0e8","sha256:6fa359886f21066a43458d06fee22bbfed6f2d6734112a351c5698253016a548"],"state_sha256":"1dcfcecfd12b119f95fb2479c39784a94c32a3f7e806da2836c066a3c1c8da82"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FldTgfrXawn6OyPzMMPNPrmsKqrbIHMGGhNreiS22i7Ym/hl48brN7qNXMWV4Rvl5ULB2Z2CwQxZDZKRHfNWBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T22:12:45.671654Z","bundle_sha256":"acbbaae67c708310076d61cfddd0afa57083c4de132751b7d325a96065b77d04"}}